* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (47 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) (+ (* 1/6 (pow N 3)) (* (log N) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (* -1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1 (log N)) 0) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 N))) (+ (* 1/2 (/ 1 N)) (- 1 (log N)))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (- (log -1) (log N))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/3) (+ (* 1 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* N (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log N) N) into (* (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 (* N (- (log -1) (log N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow N 3)) (+ (* 1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- 1 (log N)) (* (* -1 (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (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 (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ 1 (log -1)) (log N)) (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))))) into (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))) 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 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (- (- N (* N (log N))) (+ (* (- (* 1/6 N) 1/2) (* N N)) 1)) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (/ 1/6 (* N N))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (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))) (+ (/ (/ 1/6 N) N) 1)) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (+ (* (- N (* 1/2 (sqr N))) (+ N 1)) (- (* (* 1/3 (sqr N)) (+ (sqr N) N)) (+ 1 (* (log N) N)))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (+ (* N (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (- (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (+ (* (+ N 1) (- (- (log -1) (log N)) (/ (/ 1/2 N) N))) (- (/ (+ N 1) N) (+ (* (log N) N) 1))) * * * * [misc]progress: [ 7 / 67 ] 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 (42 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 8 / 67 ] 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 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* N (- (log -1) (log N)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (- (* (+ N 1) (log (+ N 1))) (* N (- (log -1) (log N)))) 1) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- (- (- N (* (log N) N)) (* (- (* 1/6 N) 1/2) (* N N))) 1) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (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 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (* (log N) (+ N N))) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (- (- (+ (+ 1 (/ 1/2 N)) (* (+ N 1) (log -1))) (log N)) (+ (* N (log N)) (+ 1 (* N (log N))))) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ N 1) (log (+ N 1)))) (exp (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 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 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (89 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 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 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 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* N (log N))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (log N) (- N)) * [exit]simplify: Simplified to (* (log N) (- N)) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (+ N 1) (log (+ N 1))) 3) (pow (* N (log N)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (174 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 (* (+ 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 (186 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (+ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (* (* N (log N)) (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))))) * [exit]simplify: Simplified to (+ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (* (* N (log N)) (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (+ N 1) (log (+ N 1)))) (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))) (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [exit]simplify: Simplified to (* (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))) (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [enter]simplify: Simplifying (+ (* (+ N 1) (log (+ N 1))) (* N (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (sqrt (* N (log N))) (sqrt (* (+ N 1) (log (+ N 1))))) * [exit]simplify: Simplified to (+ (sqrt (* N (log N))) (sqrt (* (+ N 1) (log (+ N 1))))) * [enter]simplify: Simplifying (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1))))) * [exit]simplify: Simplified to (+ (sqrt (* (log N) 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 (* (log N) N))) * [exit]simplify: Simplified to (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* (log N) N))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (* N (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 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: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (- (cube N) 1)) * [exit]simplify: Simplified to (log (- (cube N) 1)) * [enter]simplify: Simplifying (log (+ (sqr N) (- (sqr 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (sqr N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (sqr N) (- 1 N))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (sqr N) 1)) * [exit]simplify: Simplified to (log (- (sqr N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ N 1))) * [exit]simplify: Simplified to (cube (log (+ N 1))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (log (log N)) (log N)) * [exit]simplify: Simplified to (+ (log (log N)) (log N)) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (pow N N) * [exit]simplify: Simplified to (pow N N) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cube (* (log N) N)) * [exit]simplify: Simplified to (cube (* (log N) N)) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (* (log N) N)) * [exit]simplify: Simplified to (sqrt (* (log N) N)) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ N 1)) (log (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 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: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (+ N 1)) (cube (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (cube (+ N 1)) (cube (log (+ N 1)))) * [exit]simplify: Simplified to (* (cube (+ N 1)) (cube (log (+ N 1)))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (log 1) (+ N 1)) * [exit]simplify: Simplified to (* (log 1) (+ 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 (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (+ N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (log 1)) * [exit]simplify: Simplified to (* (+ 1 N) (log 1)) * [enter]simplify: Simplifying (* (log (+ N 1)) (+ N 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow N 3) (pow 1 3)) (log (+ N 1))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (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: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr N) (sqr 1)) (log (+ N 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (- (sqr N) 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (- (sqr N) 1) (log (+ N 1))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (log N) (- N)) in (N) around 0 * [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]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) (- 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]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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (log N) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) -1) (* 0 0)) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [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 (/ (+ (* 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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log N)) N) into (* -1 (* (log N) N)) * [misc]approximate: Taking taylor expansion of (* (log (/ 1 N)) (- (/ 1 N))) in (N) around 0 * [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 (/ 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 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 (/ 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (- (log N)) -1) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [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) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 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) 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [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 (- 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 (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [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 (- 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 (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log N) (/ 1 (/ 1 N))) into (* (log N) N) * [misc]approximate: Taking taylor expansion of (* (log (/ 1 (- N))) (- (/ 1 (- N)))) in (N) around 0 * [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 (/ 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 (- 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 (/ 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (- (log -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 (+ (* (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 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 (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]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 (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]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 (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]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 (- 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 (- 0) into 0 * [misc]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) (/ 1 (/ 1 (- N)))) into (* -1 (* N (- (log -1) (log N)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow N 3)) (+ (* 1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- 1 (log N)) (* (* -1 (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (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 (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ 1 (log -1)) (log N)) (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))))) into (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) 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 (+ (* (log N) (- 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]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 (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) 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 (+ (* (log N) (- 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]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 (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (log N) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) -1) (* 0 0)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (- (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 1 (log N)) into (+ (log N) 1) * [misc]backup-simplify: Simplify (+ (log N) 1) into (+ (log N) 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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/2 (sqr N)) (+ (* (+ (log N) 1) N) -1)) into (- (+ (* (log N) N) (+ (* 1/2 (sqr N)) N)) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ (* (log (/ 1 N)) (- (/ 1 N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ (* (log (/ 1 N)) (- (/ 1 N))) 1)) 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 (+ (* (log (/ 1 N)) (- (/ 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 (/ 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 (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ (* (log (/ 1 N)) (- (/ 1 N))) 1)) 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 (+ (* (log (/ 1 N)) (- (/ 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 (/ 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 (+ (* (- 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) into -1 * [misc]backup-simplify: Simplify (* (- (log N)) -1) into (log N) * [misc]backup-simplify: Simplify (+ (log N) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (- (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (- (* 2 (log N))) into (- (* 2 (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)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- (log N)) (* (- (* 2 (log N))) (/ 1 (/ 1 N))))) into (- (* 1/2 (/ 1 N)) (+ (log N) (* 2 (* (log N) N)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (+ (* (log (/ 1 (- N))) (- (/ 1 (- N)))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (+ (* (log (/ 1 (- N))) (- (/ 1 (- N)))) 1)) 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 (+ (* (log (/ 1 (- N))) (- (/ 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 (/ 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 (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (+ (* (log (/ 1 (- N))) (- (/ 1 (- N)))) 1)) 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 (+ (* (log (/ 1 (- N))) (- (/ 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 (/ 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 (+ (* (- 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) into 1 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) 1) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) 0) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (- (log N) (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) * [misc]backup-simplify: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -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 (+ (* (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (log -1) (log N)) (* (- (* 2 (log N)) (* 2 (log -1))) (/ 1 (/ 1 (- N)))))) into (- (+ (* 2 (* (log -1) N)) (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 2 (* (log N) N)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* (* N 1/3) (sqr N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) (- N)) 1)) * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ (* (- N) (log N)) 1)) * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (+ (* (+ N 1) (- (- (log -1) (log N)) (/ 1/2 (sqr N)))) (- (- (/ (+ N 1) N) (* (log N) (- N))) 1)) * * * * [misc]progress: [ 4 / 80 ] 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 (22 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 (66 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) * * * * [misc]progress: [ 5 / 80 ] 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 (17 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 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (+ (* -1 (* N (- (log -1) (log N)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (* (- N) (- (log -1) (log N)))) 1) * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (+ N (- (* (* N N) (- 1/2 (* 1/6 N))) (+ 1 (* (- N) (log N))))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (log N) N))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (* (log N) (+ N (- N)))) * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 (* (log -1) (+ N 1))) (/ 1/2 N)) (+ 1 (* (+ (- N) (+ N 1)) (log N)))) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log N) N) (+ (* 1/2 (sqr N)) N)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (* N (+ (log N) (* N 1/2))) (- N 1)) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 N)) (+ (log N) (* 2 (* (log N) N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (* (* N 2) (log N))) * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (* (log -1) N)) (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 2 (* (log N) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (+ (* (* 2 N) (log -1)) (+ (/ 1/2 N) (log -1))) (+ (log N) (* (log N) (* 2 N)))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (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 (log (- (cube N) 1)) * [exit]simplify: Simplified to (log (- (cube N) 1)) * [enter]simplify: Simplifying (log (+ (sqr N) (- (sqr 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (sqr N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (sqr N) (- 1 N))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (sqr N) 1)) * [exit]simplify: Simplified to (log (- (sqr N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ N 1))) * [exit]simplify: Simplified to (cube (log (+ N 1))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (- N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (log N) (- N)) * [exit]simplify: Simplified to (* (log N) (- N)) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log N)) (log (- N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (+ (log (- N)) (log (log N))) * [exit]simplify: Simplified to (+ (log (- N)) (log (log N))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (log N) (- N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (log (* (log N) (- N))) * [exit]simplify: Simplified to (log (* (log N) (- N))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log N) (- N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (pow N (- N)) * [exit]simplify: Simplified to (pow N (- N)) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (log N)) (cube (- N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (- (cube N)) (cube (log N))) * [exit]simplify: Simplified to (* (- (cube N)) (cube (log N))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (log N) (- N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (* (log N) (- N))) * [exit]simplify: Simplified to (cbrt (* (log N) (- N))) * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (log N) (- N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cube (* (log N) (- N))) * [exit]simplify: Simplified to (cube (* (log N) (- N))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log N)) (cbrt (- N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (- N)) (cbrt (log N))) * [exit]simplify: Simplified to (* (cbrt (- N)) (cbrt (log N))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (log N) (- N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (sqrt (* (log N) (- N))) * [exit]simplify: Simplified to (sqrt (* (log N) (- N))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log N)) (sqrt (- N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (- N)) (sqrt (log N))) * [exit]simplify: Simplified to (* (sqrt (- N)) (sqrt (log N))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) N) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (log N) N) * [exit]simplify: Simplified to (* (log N) N) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) -1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (- N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (log N) (- N)) * [exit]simplify: Simplified to (* (log N) (- N)) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] 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: [ 44 / 80 ] 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 (45 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: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * * * * [misc]progress: [ 46 / 80 ] 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 (93 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (cube (+ N 1)) (cube (log (+ N 1)))) * [exit]simplify: Simplified to (* (cube (+ N 1)) (cube (log (+ N 1)))) * * * * [misc]progress: [ 47 / 80 ] 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 (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 49 / 80 ] 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: [ 50 / 80 ] 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 (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 51 / 80 ] 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: [ 52 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (log 1) (+ N 1)) * [exit]simplify: Simplified to (* (log 1) (+ 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 (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (+ N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (log 1)) * [exit]simplify: Simplified to (* (+ 1 N) (log 1)) * [enter]simplify: Simplifying (* (log (+ N 1)) (+ N 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 55 / 80 ] 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: [ 56 / 80 ] 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: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 58 / 80 ] 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: [ 59 / 80 ] 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 (* (- (sqr N) 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (- (sqr N) 1) (log (+ N 1))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ N 1) (log (+ N 1)))) (exp (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (/ E (pow N N))) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (/ E (pow N N))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (- (* (+ N 1) (log (+ N 1))) (+ (* (- N) (log N)) 1))) * [exit]simplify: Simplified to (log (- (* (+ N 1) (log (+ N 1))) (+ (* (- N) (log N)) 1))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (/ E (pow N N))) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (/ E (pow N N))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ N 1) (log (+ N 1))) (+ (* (- N) (log N)) 1))) * [exit]simplify: Simplified to (cbrt (- (* (+ N 1) (log (+ N 1))) (+ (* (- N) (log N)) 1))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 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: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 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 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (pow N 3) (pow 1 3)) (log (+ N 1))) (+ (sqr (* (log N) (- N))) (- (sqr 1) (* (* (log N) (- N)) 1)))) (* (+ (sqr N) (- (sqr 1) (* N 1))) (- (pow (* (log N) (- N)) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (- (* (* (log (+ 1 N)) (- (cube N) 1)) (+ (* (* (log N) N) (* (log N) N)) (- 1 (* (- N) (log N))))) (* (- (cube (* (- N) (log N))) 1) (+ (sqr N) (- 1 N)))) * [exit]simplify: Simplified to (- (* (* (log (+ 1 N)) (- (cube N) 1)) (+ (* (* (log N) N) (* (log N) N)) (- 1 (* (- N) (log N))))) (* (- (cube (* (- N) (log N))) 1) (+ (sqr N) (- 1 N)))) * [enter]simplify: Simplifying (* (+ (sqr N) (- (sqr 1) (* N 1))) (+ (sqr (* (log N) (- N))) (- (sqr 1) (* (* (log N) (- N)) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (* (+ (- 1 (* (log N) (- N))) (sqr (* (log N) N))) (+ (sqr N) (- 1 N))) * [exit]simplify: Simplified to (* (+ (- 1 (* (log N) (- N))) (sqr (* (log N) N))) (+ (sqr N) (- 1 N))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (pow N 3) (pow 1 3)) (log (+ N 1))) (- (* (log N) (- N)) 1)) (* (+ (sqr N) (- (sqr 1) (* N 1))) (- (sqr (* (log N) (- N))) (sqr 1)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (- (- (* (log (+ 1 N)) (- (cube N) 1)) (* (* (log N) (- N)) (+ (sqr N) (- 1 N)))) (+ (sqr N) (- 1 N))) (- (* (log N) (- N)) 1)) * [exit]simplify: Simplified to (* (- (- (* (log (+ 1 N)) (- (cube N) 1)) (* (* (log N) (- N)) (+ (sqr N) (- 1 N)))) (+ (sqr N) (- 1 N))) (- (* (log N) (- N)) 1)) * [enter]simplify: Simplifying (* (+ (sqr N) (- (sqr 1) (* N 1))) (- (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ (sqr N) (- 1 N)) (- (* (log N) (- N)) 1)) * [exit]simplify: Simplified to (* (+ (sqr N) (- 1 N)) (- (* (log N) (- N)) 1)) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (sqr N) (sqr 1)) (log (+ N 1))) (+ (sqr (* (log N) (- N))) (- (sqr 1) (* (* (log N) (- N)) 1)))) (* (- N 1) (- (pow (* (log N) (- N)) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (- (* (+ (- 1 (* (- N) (log N))) (sqr (* N (log N)))) (* (- (sqr N) 1) (log (+ N 1)))) (* (- N 1) (- (cube (* (- N) (log N))) 1))) * [exit]simplify: Simplified to (- (* (+ (- 1 (* (- N) (log N))) (sqr (* N (log N)))) (* (- (sqr N) 1) (log (+ N 1)))) (* (- N 1) (- (cube (* (- N) (log N))) 1))) * [enter]simplify: Simplifying (* (- N 1) (+ (sqr (* (log N) (- N))) (- (sqr 1) (* (* (log N) (- N)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (+ (- 1 (* (- N) (log N))) (* (* N (log N)) (* N (log N)))) (- N 1)) * [exit]simplify: Simplified to (* (+ (- 1 (* (- N) (log N))) (* (* N (log N)) (* N (log N)))) (- N 1)) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (sqr N) (sqr 1)) (log (+ N 1))) (- (* (log N) (- N)) 1)) (* (- N 1) (- (sqr (* (log N) (- N))) (sqr 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (- (* (+ N 1) (log (+ N 1))) (+ 1 (* (log N) (- N)))) (* (- (* (log N) (- N)) 1) (- N 1))) * [exit]simplify: Simplified to (* (- (* (+ N 1) (log (+ N 1))) (+ 1 (* (log N) (- N)))) (* (- (* (log N) (- N)) 1) (- N 1))) * [enter]simplify: Simplifying (* (- N 1) (- (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (- N 1) (- (* (- N) (log N)) 1)) * [exit]simplify: Simplified to (* (- N 1) (- (* (- N) (log N)) 1)) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (- 1) (* N (log N))) * [exit]simplify: Simplified to (+ (- 1) (* N (log N))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (+ N 1) (log (+ N 1))) 3) (pow (+ (* (log N) (- N)) 1) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ N 1)) (+ N 1))) (cube (+ 1 (* (- N) (log N))))) * [exit]simplify: Simplified to (- (cube (* (log (+ N 1)) (+ N 1))) (cube (+ 1 (* (- N) (log N))))) * [enter]simplify: Simplifying (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (+ (* (log N) (- N)) 1)) (* (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- N) (log N)) 1) (+ (* (log (+ N 1)) (+ N 1)) (+ (* (- N) (log N)) 1))) (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1)))) * [exit]simplify: Simplified to (+ (* (+ (* (- N) (log N)) 1) (+ (* (log (+ N 1)) (+ N 1)) (+ (* (- N) (log N)) 1))) (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1)))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (+ N 1) (log (+ N 1)))) (sqr (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (381 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))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 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: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * [exit]simplify: Simplified to (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * [enter]simplify: Simplifying (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * [exit]simplify: Simplified to (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (+ 1 (* (log N) (- N))))) * [exit]simplify: Simplified to (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (+ 1 (* (log N) (- N))))) * [enter]simplify: Simplifying (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (+ (* (log N) (- N)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (+ 1 (* (log N) (- N))))) * [exit]simplify: Simplified to (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (+ 1 (* (log N) (- N))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (* (log N) (- N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 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 (50 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: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 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: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 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: 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) * [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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N))))) into (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ 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]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 (/ 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]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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) 0) 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 (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 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 (/ 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 (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 (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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (log N) N)) (* (log -1) N)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (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 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ 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 (log (+ 1 (/ 1 N)))) (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 (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 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 (/ 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 (log (- 1 (/ 1 N)))) (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 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (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 (/ 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]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 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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))) (+ 1 (* (log N) N))) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log N) N) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) 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 (+ (- (* (log N) N) 1) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 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 (+ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (- (* N (- (log N) (log -1))) 1)) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (+ (* (- N (* 1/2 (sqr N))) (+ N 1)) (- (* 1/3 (* (cube N) (+ N 1))) (+ 1 (* (log N) N)))) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (+ (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) N) (- (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (- (+ (* (+ N 1) (- (- (log -1) (log N)) (/ 1/2 (sqr N)))) (- (/ (+ N 1) N) (* N (log N)))) 1) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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))) (+ 1 (* (log N) N))) * * * * [misc]progress: [ 8 / 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 (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 (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 9 / 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 (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ (* N (log 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 (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 11 / 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 (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 (+ (* N (log (+ (/ 1 N) 1))) (- (log (+ (/ 1 N) 1)) (+ (* N (log N)) 1))) * * * * [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))) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (exp (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (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 (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (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 (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (cbrt (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (106 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 / 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 (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (sqrt (- (* (log (+ N 1)) (+ N 1)) (* N (log 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 (* (log N) (- N)) * [exit]simplify: Simplified to (* (log N) (- 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 (265 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* N (log N)))) * [exit]simplify: Simplified to (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* N (log N)))) * [enter]simplify: Simplifying (+ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (+ (sqr (* N (log N))) (* (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (+ N 1) (log (+ N 1))) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) (* (* (log N) N) (* (log N) N))) * [exit]simplify: Simplified to (+ (* (* (+ N 1) (log (+ N 1))) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) (* (* (log N) N) (* (log N) 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 (* (- (* (+ N 1) (log (+ N 1))) (* (log N) N)) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (* (- (* (+ N 1) (log (+ N 1))) (* (log N) N)) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [enter]simplify: Simplifying (+ (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (+ (* N (log N)) (* (+ N 1) (log (+ 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 (* (+ 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 (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 (150 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 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (- (cube N) 1)) * [exit]simplify: Simplified to (log (- (cube N) 1)) * [enter]simplify: Simplifying (log (+ (sqr N) (- (sqr 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (sqr N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (sqr N) (- 1 N))) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (sqr N) 1)) * [exit]simplify: Simplified to (log (- (sqr N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 32 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ N 1))) * [exit]simplify: Simplified to (cube (log (+ N 1))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (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: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (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: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ 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: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cbrt (- (pow N 3) (pow 1 3))) (cbrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (- (cube N) 1) (log (+ 1 N))) * [exit]simplify: Simplified to (* (- (cube N) 1) (log (+ 1 N))) * [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: [ 44 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cbrt (- (sqr N) (sqr 1))) (cbrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (- (sqr N) 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (- (sqr N) 1) (log (+ N 1))) * [enter]simplify: Simplifying (cube (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- N 1) * [exit]simplify: Simplified to (- N 1) * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (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: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ 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: Final touches. * * * [misc]progress: tayloring alt 1 of 22 * [misc]approximate: Taking taylor expansion of (- (cube (cbrt (* (+ N 1) (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (cbrt (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (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) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (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 (+ (* (+ 1 N) (log (+ 1 N))) 0) into (+ (* N (log (+ 1 N))) (log (+ 1 N))) * [misc]backup-simplify: Simplify (+ (* N (log (+ 1 N))) (log (+ 1 N))) into (+ (log (+ 1 N)) (* N (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) (+ (log (+ 1 N)) (* N (log (+ 1 N))))) into (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 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]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) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 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]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 (+ (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) 0) into (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) into (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (- (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 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) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 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 (+ (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) 0) into (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) N)) * [misc]backup-simplify: Simplify (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) N)) into (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) 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 (+ (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) N)) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N))))) into (- (+ (* (log N) N) (log (- 1 (/ 1 N)))) (+ (/ (log (- 1 (/ 1 N))) N) (* (log -1) N))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ N 1) (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cbrt (* (+ N 1) (log (+ N 1)))) into (cbrt (* (+ 1 N) (log (+ 1 N)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cbrt (* (+ N 1) (log (+ N 1)))) into (cbrt (* (+ 1 N) (log (+ 1 N)))) * [misc]backup-simplify: Simplify (cbrt (* (+ 1 N) (log (+ 1 N)))) into (cbrt (* (+ 1 N) (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 (* (+ 1 N) (log (+ 1 N)))) into (cbrt (* (+ 1 N) (log (+ 1 N)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) into (cbrt (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) into (cbrt (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cbrt (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) into (cbrt (* (+ 1 (/ 1 N)) (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 (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) into (cbrt (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) into (cbrt (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) into (cbrt (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cbrt (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) into (cbrt (* (log (- 1 (/ 1 N))) (- 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))) (- 1 (/ 1 N)))) into (cbrt (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (+ N 1) (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (log (+ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (log (+ 1 N))) * [misc]backup-simplify: Simplify (* (+ 1 N) (log (+ 1 N))) into (* (+ 1 N) (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 (* (+ 1 N) (log (+ 1 N))) into (* (+ 1 N) (log (+ 1 N))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) into (* (+ 1 (/ 1 N)) (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 (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) into (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) into (* (log (- 1 (/ 1 N))) (- 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 (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) into (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) * * * [misc]progress: tayloring alt 2 of 22 * [misc]approximate: Taking taylor expansion of (- (exp (log (* (+ N 1) (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (log (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into 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 (- (exp (log (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into 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 (+ N 0) into N * [misc]backup-simplify: Simplify N into N * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (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 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/2 N) (- (log N))) into (- (* 1/2 N) (log N)) * [misc]backup-simplify: Simplify (- (* 1/2 N) (log N)) into (- (* 1/2 N) (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 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 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -7/24 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow -7/24 1) 1)))) into (* -1/6 N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 N) 0) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (- (* 1/6 N)) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 N)) (sqr N)) (+ (* (- (* 1/2 N) (log N)) N) N)) into (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))) * [misc]approximate: Taking taylor expansion of (- (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log 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 (- (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log 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))) 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 (+ (exp (- (log (* -1 (log N))) (log N))) 0) into (exp (- (log (* -1 (log N))) (log N))) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 (- 1 (log N))) 1)) (pow (* -1 (log N)) 1)))) 1) into (- 1 (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 1) 1)))) into (* (- 1 (/ 1 (log N))) (exp (- (log (* -1 (log N))) (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 (log N))) (exp (- (log (* -1 (log N))) (log N)))) 0) into (- (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) * [misc]backup-simplify: Simplify (- (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) into (- (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) (/ 1 N)) (+ (exp (- (log (* -1 (log N))) (log N))) (* (log N) (/ 1 (/ 1 N))))) into (- (+ (* (log N) N) (+ (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) N))) (/ (exp (- (log (* -1 (log N))) (log N))) (* (log N) N))) * [misc]approximate: Taking taylor expansion of (- (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log 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 (- (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log 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 (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) 0) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ 1 (log -1)) (log N))) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 1) into (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) 0) into (- (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (- (log -1) (log N))) (+ (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (- (log -1) (log N))) (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (- (log -1) (log N))) (+ (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (- (log -1) (log N))) (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N))))) into (- (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (- (log -1) (log N))) (+ (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (- (log -1) (log N))) (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (- (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (- (log -1) (log N))) (+ (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (- (log -1) (log N))) (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N))))) (/ 1 (- N))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N)))))) into (- (+ (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (* (- (log -1) (log N)) N)) (+ (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* N (- (log -1) (log N)))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* (log N) N)))) (+ (* (log -1) N) (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (* N (- (log -1) (log N)))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (exp (log (* (+ N 1) (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into N * [misc]taylor: Taking taylor expansion of (exp (log (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into N * [misc]backup-simplify: Simplify N into N * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (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 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 N) * [misc]backup-simplify: Simplify (* 1/2 N) into (* 1/2 N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 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 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -7/24 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow -7/24 1) 1)))) into (* -1/6 N) * [misc]backup-simplify: Simplify (* -1/6 N) into (* -1/6 N) * [misc]backup-simplify: Simplify (+ (* (* -1/6 N) (sqr N)) (+ (* (* 1/2 N) N) N)) into (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) * [misc]approximate: Taking taylor expansion of (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 (- 1 (log N))) 1)) (pow (* -1 (log N)) 1)))) 1) into (- 1 (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 1) 1)))) into (* (- 1 (/ 1 (log N))) (exp (- (log (* -1 (log N))) (log N)))) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 (log N))) (exp (- (log (* -1 (log N))) (log N)))) into (* (- 1 (/ 1 (log N))) (exp (- (log (* -1 (log N))) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 (- 1 (log N))) 2)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow (* -1 (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (+ (/ 1 (sqr (log N))) 1))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 2) 2)) (* (/ (pow (* 1/2 (- (/ 1 (log N)) (+ (/ 1 (sqr (log N))) 1))) 1) 1)))) into (* -1/2 (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) * [misc]backup-simplify: Simplify (* -1/2 (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) into (* -1/2 (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (exp (- (log (* -1 (log N))) (log N))) (log N))) (sqr (/ 1 N))) (+ (* (* (- 1 (/ 1 (log N))) (exp (- (log (* -1 (log N))) (log N)))) (/ 1 N)) (exp (- (log (* -1 (log N))) (log N))))) into (- (+ (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) N)) (+ (* 1/2 (/ (exp (- (log (* -1 (log N))) (log N))) (* (log N) (sqr N)))) (/ (exp (- (log (* -1 (log N))) (log N))) (* (log N) N)))) * [misc]approximate: Taking taylor expansion of (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ 1 (log -1)) (log N))) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 1) into (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) * [misc]backup-simplify: Simplify (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) into (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (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 (/ (* (pow (* 1 (- (+ 1 (log -1)) (log N))) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (log -1) (log N))))) (+ (* 2 (/ (log N) (sqr (- (log -1) (log N))))) (/ 1 (- (log -1) (log N))))) (+ (/ (sqr (log N)) (sqr (- (log -1) (log N)))) (+ (* 2 (/ (log -1) (sqr (- (log -1) (log N))))) (+ (/ 1 (sqr (- (log -1) (log N)))) (/ (sqr (log -1)) (sqr (- (log -1) (log N))))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (log -1) (log N))))) (+ (* 2 (/ (log N) (sqr (- (log -1) (log N))))) (/ 1 (- (log -1) (log N))))) (+ (/ (sqr (log N)) (sqr (- (log -1) (log N)))) (+ (* 2 (/ (log -1) (sqr (- (log -1) (log N))))) (+ (/ 1 (sqr (- (log -1) (log N)))) (/ (sqr (log -1)) (sqr (- (log -1) (log N))))))))) 1) 1)))) into (* 1/2 (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N)))) into (* 1/2 (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (- (log -1) (log N)))) (sqr (/ 1 (- N)))) (+ (* (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (/ 1 (- N))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N))))) into (- (+ (* 1/2 (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* (sqr N) (- (log -1) (log N))))) (+ (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* N (- (log -1) (log N)))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (* N (- (log -1) (log N))))))) (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (* N (- (log -1) (log N))))) * [misc]approximate: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (+ 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 1/2) 1)) (pow 1 1)))) 1) 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 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -7/24 * [misc]backup-simplify: Simplify -7/24 into -7/24 * [misc]backup-simplify: Simplify (+ (* -7/24 (sqr N)) (+ (* 1/2 N) (log N))) into (- (+ (log N) (* 1/2 N)) (* 7/24 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (- (log (* -1 (log N))) (log N)) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 (- 1 (log N))) 1)) (pow (* -1 (log N)) 1)))) 1) into (- 1 (/ 1 (log N))) * [misc]backup-simplify: Simplify (- 1 (/ 1 (log N))) into (- 1 (/ 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 (/ (* (pow (* 1 (- 1 (log N))) 2)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow (* -1 (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (+ (/ 1 (sqr (log N))) 1))) * [misc]backup-simplify: Simplify (* 1/2 (- (/ 1 (log N)) (+ (/ 1 (sqr (log N))) 1))) into (* 1/2 (- (/ 1 (log N)) (+ (/ 1 (sqr (log N))) 1))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (/ 1 (log N)) (+ (/ 1 (sqr (log N))) 1))) (sqr (/ 1 N))) (+ (* (- 1 (/ 1 (log N))) (/ 1 N)) (- (log (* -1 (log N))) (log N)))) into (- (+ (log (* -1 (log N))) (+ (* 1/2 (/ 1 (* (log N) (sqr N)))) (/ 1 N))) (+ (/ 1 (* (log N) N)) (+ (* 1/2 (/ 1 (* (sqr (log N)) (sqr N)))) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) * [misc]approximate: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- (log (* -1 (- (log -1) (log N)))) (log N)) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ 1 (log -1)) (log N))) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 1) into (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) into (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ 1 (log -1)) (log N))) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (log -1) (log N))))) (+ (* 2 (/ (log N) (sqr (- (log -1) (log N))))) (/ 1 (- (log -1) (log N))))) (+ (/ (sqr (log N)) (sqr (- (log -1) (log N)))) (+ (* 2 (/ (log -1) (sqr (- (log -1) (log N))))) (+ (/ 1 (sqr (- (log -1) (log N)))) (/ (sqr (log -1)) (sqr (- (log -1) (log N))))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (log -1) (log N))))) (+ (* 2 (/ (log N) (sqr (- (log -1) (log N))))) (/ 1 (- (log -1) (log N))))) (+ (/ (sqr (log N)) (sqr (- (log -1) (log N)))) (+ (* 2 (/ (log -1) (sqr (- (log -1) (log N))))) (+ (/ 1 (sqr (- (log -1) (log N)))) (/ (sqr (log -1)) (sqr (- (log -1) (log N))))))))) into (* 1/2 (- (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (log -1) (log N))))) (+ (* 2 (/ (log N) (sqr (- (log -1) (log N))))) (/ 1 (- (log -1) (log N))))) (+ (/ (sqr (log -1)) (sqr (- (log -1) (log N)))) (+ (/ (sqr (log N)) (sqr (- (log -1) (log N)))) (+ (* 2 (/ (log -1) (sqr (- (log -1) (log N))))) (/ 1 (sqr (- (log -1) (log N))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (log -1) (log N))))) (+ (* 2 (/ (log N) (sqr (- (log -1) (log N))))) (/ 1 (- (log -1) (log N))))) (+ (/ (sqr (log -1)) (sqr (- (log -1) (log N)))) (+ (/ (sqr (log N)) (sqr (- (log -1) (log N)))) (+ (* 2 (/ (log -1) (sqr (- (log -1) (log N))))) (/ 1 (sqr (- (log -1) (log N))))))))) (sqr (/ 1 (- N)))) (+ (* (- (/ (log N) (- (log -1) (log N))) (+ (/ (log -1) (- (log -1) (log N))) (/ 1 (- (log -1) (log N))))) (/ 1 (- N))) (- (log (* -1 (- (log -1) (log N)))) (log N)))) into (- (+ (/ (log -1) (* N (- (log -1) (log N)))) (+ (/ 1 (* N (- (log -1) (log N)))) (+ (/ (log N) (* (sqr N) (sqr (- (log -1) (log N))))) (+ (* 1/2 (/ 1 (* (sqr N) (- (log -1) (log N))))) (+ (/ (* (log N) (log -1)) (* (sqr (- (log -1) (log N))) (sqr N))) (log (* -1 (- (log -1) (log N))))))))) (+ (/ (log -1) (* (sqr (- (log -1) (log N))) (sqr N))) (+ (* 1/2 (/ 1 (* (sqr N) (sqr (- (log -1) (log N)))))) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (log -1) (log N))) (sqr N)))) (+ (log N) (+ (/ (log N) (* N (- (log -1) (log N)))) (* 1/2 (/ (sqr (log N)) (* (sqr N) (sqr (- (log -1) (log N)))))))))))) * * * [misc]progress: tayloring alt 3 of 22 * [misc]approximate: Taking taylor expansion of (cbrt (cube (* N (log N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* N (log N)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* N (log N)))) into (* (log N) N) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* N (log N)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* N (log N)))) into (* (log N) N) * [misc]backup-simplify: Simplify (* (log N) N) into (* (log N) 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 (* (log N) N) into (* (log N) N) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [misc]backup-simplify: Simplify (/ (log (/ 1 N)) N) into (/ (log (/ 1 N)) 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 (/ (log (/ 1 N)) N) into (/ (log (/ 1 N)) N) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [misc]backup-simplify: Simplify (* -1 (/ (log (/ -1 N)) N)) into (* -1 (/ (log (/ -1 N)) 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 (* -1 (/ (log (/ -1 N)) N)) into (* -1 (/ (log (/ -1 N)) N)) * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (cbrt (cube (* N (log N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (cbrt (cube (* 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 (cbrt (cube (* N (log N)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* N (log N)))) into (* (log N) N) * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (cbrt (cube (* 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 (cbrt (cube (* N (log N)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* N (log N)))) into (* (log N) N) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- (* (log N) N)) into (- (* (log N) N)) * [misc]backup-simplify: Simplify (+ 0 (- (* (log N) N))) into (- (* (log N) N)) * [misc]backup-simplify: Simplify (- (* (log N) N)) into (- (* (log N) N)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (- 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 N) (- (* (log N) N)))) into (- (+ (* 1/2 (sqr N)) N) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (cbrt (cube (* (/ 1 N) (log (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (cbrt (cube (* (/ 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 (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (cbrt (cube (* (/ 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 (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [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 (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (/ (log (/ 1 N)) N)) into (- (/ (log (/ 1 N)) N)) * [misc]backup-simplify: Simplify (+ (- 1 (log N)) (- (/ (log (/ 1 N)) N))) into (- 1 (+ (log N) (/ (log (/ 1 N)) N))) * [misc]backup-simplify: Simplify (- 1 (+ (log N) (/ (log (/ 1 N)) N))) into (- 1 (+ (log N) (/ (log (/ 1 N)) 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 (- 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 (/ 1 N)) (+ (- 1 (+ (log N) (/ (log (/ 1 N)) N))) (* (- (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (+ (/ (log (/ 1 N)) N) (* (log N) N)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (cbrt (cube (* (/ 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 (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (cbrt (cube (* (/ 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 (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [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))) 0) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (- (log N) (log -1)) into (- (log N) (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (* -1 (/ (log (/ -1 N)) N))) into (/ (log (/ -1 N)) N) * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) (/ (log (/ -1 N)) N)) into (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) * [misc]backup-simplify: Simplify (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) into (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) (* (- (log N) (log -1)) (/ 1 (/ 1 (- N)))))) into (- (+ (/ (log (/ -1 N)) N) (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1))))) (+ (* (log N) N) (log N))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [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 (* N (- (log -1) (log N))) * * * [misc]progress: tayloring alt 4 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (sqr (sqrt (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (sqr (sqrt (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (sqr (sqrt (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 (sqr (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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) (sqr (sqrt (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (sqr (sqrt (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 (sqr (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 (* 0 0) into 0 * [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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 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 (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- +nan.0)) (+ (* 1 0) (* 0 0))) into (- +nan.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) into 0 * [misc]backup-simplify: Simplify (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.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 (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (sqr N)) (* (- (log N)) N))) into (- (+ (* +nan.0 (pow N 3)) (- (* (log N) N) (* +nan.0 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (sqr (sqrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (sqr (sqrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (sqr (sqrt (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 (sqr (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (sqr (sqrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (sqr (sqrt (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 (sqr (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log 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 0) into 1 * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (sqr (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (* 1 (sqr (sqrt (- (log N))))) into (sqr (sqrt (- (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 (+ (sqr (sqrt (- (log N)))) (log N)) into (+ (log N) (sqr (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (log N) (sqr (sqrt (- (log N))))) into (+ (log N) (sqr (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (sqr (sqrt (- (log N)))))) into (+ (sqr (sqrt (- (log N)))) 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 (- (+ (* 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 (+ (+ (sqr (sqrt (- (log N)))) 1) 0) into (+ (sqr (sqrt (- (log N)))) 1) * [misc]backup-simplify: Simplify (+ (sqr (sqrt (- (log N)))) 1) into (+ (sqr (sqrt (- (log N)))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr (/ 1/2 (sqrt (- (log N))))) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N))))) (sqrt (- (log N)))))) 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 (- 1/2)) (+ (* 1 1) (* 0 (sqr (sqrt (- (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 (+ (* 1/2 (/ 1 N)) (+ (+ (sqr (sqrt (- (log N)))) 1) (* (+ (log N) (sqr (sqrt (- (log N))))) (/ 1 (/ 1 N))))) into (+ (sqr (sqrt (- (log N)))) (+ 1 (+ (* 1/2 (/ 1 N)) (+ (* (log N) N) (* (sqr (sqrt (- (log N)))) N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (sqr (sqrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (sqr (sqrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (sqr (sqrt (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 (sqr (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (sqr (sqrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (sqr (sqrt (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 (sqr (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log 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 0) into -1 * [misc]backup-simplify: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) 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 (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) 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 (- 1)) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N)))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))) (sqrt (- (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 (+ 0 0) into 0 * [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 (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ 1/3 (+ (* 1/8 (/ 1 (sqr (- (log -1) (log N))))) (* 1/4 (/ 1 (- (log -1) (log N)))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ 1/3 (+ (* 1/8 (/ 1 (sqr (- (log -1) (log N))))) (* 1/4 (/ 1 (- (log -1) (log N)))))) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N)))))))) (+ (* (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ 1/3 (+ (* 1/8 (/ 1 (sqr (- (log -1) (log N))))) (* 1/4 (/ 1 (- (log -1) (log N)))))) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) 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 (- 1/3)) (+ (* 1 (- 1/2)) (+ (* 0 (- 1)) (* 0 (- (log -1) (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 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 (/ (- -1/2 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 4)) (+ (* (- +nan.0) (pow N 3)) (* (- +nan.0) (sqr N)))) into (- (+ (* +nan.0 (pow N 4)) (- (+ (* +nan.0 (pow N 3)) (- (* +nan.0 (sqr N))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (sqr (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (sqr (sqrt (- (log N)))) into (sqr (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr (/ 1/2 (sqrt (- (log N))))) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (sqr (sqrt (- (log N)))))) into (- (+ (sqr (sqrt (- (log N)))) (/ 1 N)) (* 1/2 (/ 1 (sqr N)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (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 (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N)))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [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 (* N (- (log -1) (log N))) * * * [misc]progress: tayloring alt 5 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (cbrt (cube (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (cbrt (cube (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (cbrt (cube (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 (cbrt (cube (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ N 1)))) into (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 (- (* (+ N 1) (cbrt (cube (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (cbrt (cube (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 (cbrt (cube (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ N 1)))) into (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log (+ 1 N))) into (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) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 N)) 0) into (log (+ 1 N)) * [misc]backup-simplify: Simplify (log (+ 1 N)) into (log (+ 1 N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 (log (+ 1 N)))) into (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 (+ (log (+ 1 N)) (- (log N))) into (- (log (+ 1 N)) (log N)) * [misc]backup-simplify: Simplify (- (log (+ 1 N)) (log N)) into (- (log (+ 1 N)) (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (+ 1 N)) (log N)) N) (log (+ 1 N))) into (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (cbrt (cube (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (cbrt (cube (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (cbrt (cube (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 (cbrt (cube (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 N) 1)))) into (log (+ 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]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) (cbrt (cube (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (cbrt (cube (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 (cbrt (cube (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 N) 1)))) into (log (+ 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]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 (+ 1 (/ 1 N)))) into (log (+ 1 (/ 1 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 (+ (log (+ 1 (/ 1 N))) (log N)) into (+ (log N) (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (+ (log N) (log (+ 1 (/ 1 N)))) into (+ (log N) (log (+ 1 (/ 1 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 (log (+ 1 (/ 1 N))))) into (log (+ 1 (/ 1 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 (+ (log (+ 1 (/ 1 N))) 0) into (log (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (log (+ 1 (/ 1 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 (log (+ 1 (/ 1 N)))))) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N)))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N))))))))))) 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 (+ (log (+ 1 (/ 1 N))) (* (+ (log N) (log (+ 1 (/ 1 N)))) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (+ (* N (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (cbrt (cube (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (cbrt (cube (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (cbrt (cube (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 (cbrt (cube (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 (- N)) 1)))) into (log (- 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 (- (* (+ (/ 1 (- N)) 1) (cbrt (cube (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (cbrt (cube (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 (cbrt (cube (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 (- N)) 1)))) into (log (- 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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 N)))) into (* -1 (log (- 1 (/ 1 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 (/ 1 N)))) (- (log -1) (log N))) into (- (log -1) (+ (log N) (log (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (- (log -1) (+ (log N) (log (- 1 (/ 1 N))))) into (- (log -1) (+ (log N) (log (- 1 (/ 1 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 0) (* 1 (log (- 1 (/ 1 N))))) into (log (- 1 (/ 1 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 N))) 0) into (log (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 N))) into (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 (log (- 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 (- (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (- 1 (/ 1 N))) (* (- (log -1) (+ (log N) (log (- 1 (/ 1 N))))) (/ 1 (/ 1 (- N))))) into (- (+ (* (log (- 1 (/ 1 N))) N) (+ (* (log N) N) (log (- 1 (/ 1 N))))) (* (log -1) N)) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ N 1)))) into (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (cbrt (cube (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ N 1)))) into (log (+ 1 N)) * [misc]backup-simplify: Simplify (log (+ 1 N)) into (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 (log (+ 1 N)) into (log (+ 1 N)) * [misc]approximate: Taking taylor expansion of (cbrt (cube (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 N) 1)))) into (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 N) 1)))) into (log (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (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 (log (+ 1 (/ 1 N))) into (log (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 (- N)) 1)))) into (log (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cbrt (cube (log (+ (/ 1 (- N)) 1)))) into (log (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 N))) into (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 (log (- 1 (/ 1 N))) into (log (- 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cube (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (log (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ N 1))) into (cube (log (+ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (log (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ N 1))) into (cube (log (+ 1 N))) * [misc]backup-simplify: Simplify (cube (log (+ 1 N))) into (cube (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 (log (+ 1 N))) into (cube (log (+ 1 N))) * [misc]approximate: Taking taylor expansion of (cube (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 N) 1))) into (cube (log (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 N) 1))) into (cube (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cube (log (+ 1 (/ 1 N)))) into (cube (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 (log (+ 1 (/ 1 N)))) into (cube (log (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (cube (log (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 (- N)) 1))) into (cube (log (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 (- N)) 1))) into (cube (log (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cube (log (- 1 (/ 1 N)))) into (cube (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 (log (- 1 (/ 1 N)))) into (cube (log (- 1 (/ 1 N)))) * * * [misc]progress: tayloring alt 6 of 22 * [misc]approximate: Taking taylor expansion of (- (sqr (sqrt (* (+ N 1) (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 (- (sqr (sqrt (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (- (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 (+ 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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.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) into 0 * [misc]backup-simplify: Simplify (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.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 (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (sqr N)) (* (- (log N)) N))) into (- (+ (* +nan.0 (pow N 3)) (- (* (log N) N) (* +nan.0 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log 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 (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (log N))) (* (* +nan.0 (log N)) 0)) 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 (+ 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)) (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N))))) (+ (* (* +nan.0 (log N)) (* +nan.0 (log N))) (* (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) 0))) into (- (* +nan.0 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (sqr (log N)))) 0) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (log N)))) into (- (* +nan.0 (sqr (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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))))))) (* 2 0)) into (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))))) (+ (* (* +nan.0 (log N)) (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N))))) (+ (* (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) (* +nan.0 (log N))) (* (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) 0)))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) * [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 (+ (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) 0) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) (/ 1 N)) (+ (- (* +nan.0 (sqr (log N)))) (* (log N) (/ 1 (/ 1 N))))) into (- (* (log N) N) (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (log N) N)) (- (* +nan.0 (/ (pow (log N) 3) N))))))))) * [misc]approximate: Taking taylor expansion of (- (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log 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 (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (- (log -1) (log N))) 0)) into 0 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (/ (- (- (+ 1 (log -1)) (log N)) (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) 0))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) 0) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1)))))))))))))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))) (+ (* (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) 0)))) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (+ (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) 0) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) (/ 1 (- N))) (+ (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N)))))) into (- (* (log N) N) (+ (* +nan.0 (/ (sqr (log N)) N)) (- (* (log -1) N) (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (log -1) N)) (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (/ (log N) N))))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (sqr N)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (sqr N)) (- (* +nan.0 N)))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (log N)) into (* +nan.0 (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)) (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) * [misc]backup-simplify: Simplify (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) into (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))))))) (* 2 0)) into (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) * [misc]backup-simplify: Simplify (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) into (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) (sqr (/ 1 N))) (+ (* (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) (/ 1 N)) (* +nan.0 (log N)))) into (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (sqr N)))))))))))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (- (log -1) (log N))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (/ (- (- (+ 1 (log -1)) (log N)) (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) * [misc]backup-simplify: Simplify (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) into (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (sqr (log N))) (- (log N) (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) into (* +nan.0 (- 1/2 (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1)))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (- 1/2 (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1)))))))))))))))))))) (sqr (/ 1 (- N)))) (+ (* (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (sqr (log N))) (- (log N) (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (/ 1 (- N))) (* +nan.0 (- (log -1) (log N))))) into (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (/ (log -1) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) (sqr N))) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (/ 1 (sqr N))) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (log -1) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (+ N 1) (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ N 1) (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ N 1) (log (+ N 1)))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/4) (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0))))) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 4)) (+ (* (- +nan.0) (pow N 3)) (* (- +nan.0) (sqr N)))) into (- (+ (* +nan.0 (pow N 4)) (- (+ (* +nan.0 (pow N 3)) (- (* +nan.0 (sqr N))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (log N))) (* (* +nan.0 (log N)) 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 (log N)) (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N))))) (+ (* (* +nan.0 (log N)) (* +nan.0 (log N))) (* (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) 0))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (log N)))) into (- (* +nan.0 (sqr (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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))))))) (* 2 0)) into (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))))) (+ (* (* +nan.0 (log N)) (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N))))) (+ (* (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) (* +nan.0 (log N))) (* (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) 0)))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 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 (/ (+ (* 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 (/ (- (- 1/6) (sqr (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N))))) (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log N) 3))))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log N) 3)))))))))))) (+ (* (* +nan.0 (log N)) (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))))) (+ (* (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N)))) (* +nan.0 (- 1 (+ (* +nan.0 (sqr (log N))) (log N))))) (+ (* (* +nan.0 (- 1/2 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3)))))))) (* +nan.0 (log N))) (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log N) 3))))))))))) 0))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log N) 4))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log N) 4))))))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log N) 4))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log N) 4))))))))))) (sqr (/ 1 N))) (+ (* (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (pow (log N) 3))))))) (/ 1 N)) (- (* +nan.0 (sqr (log N)))))) into (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (* +nan.0 (/ 1 (sqr N)))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (- (log -1) (log N))) 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 (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (/ (- (- (+ 1 (log -1)) (log N)) (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) 0))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1)))))))))))))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))) (+ (* (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) 0)))) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -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)))) 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 (/ (- (- 1/6) (sqr (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))) (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log N) 4)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 4))))))))))))))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log N) 4)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 4)))))))))))))))))))))))))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1)))))))))))))))))))) (+ (* (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1))))))))) (* +nan.0 (- (+ 1 (log -1)) (+ (* +nan.0 (* (log N) (log -1))) (- (log N) (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))) (+ (* (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- 1/2 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log N) 4)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 4))))))))))))))))))))))))))))))) 0))))) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (+ (* +nan.0 (pow (log -1) 4)) (- (* +nan.0 (pow (log N) 4))))))))))))))))))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (+ (* +nan.0 (pow (log -1) 4)) (- (* +nan.0 (pow (log N) 4))))))))))))))))))))))))))))))) into (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log N) 4)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 4))))))))))))))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log N) 4)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ +nan.0 (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 4))))))))))))))))))))))))))))))) (sqr (/ 1 (- N)))) (+ (* (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (log -1))))))))))))))))))) (/ 1 (- N))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))) into (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (log -1) N)) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (+ (* +nan.0 (/ 1 (sqr N))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (log -1) (sqr N))) (- (+ (* +nan.0 (/ (pow (log -1) 4) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (* (log N) (pow (log -1) 3)) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (/ (sqr (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (sqr (log -1))) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (* (pow (log N) 3) (log -1)) (sqr N))) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))))))))))))))))))))))))))))))))))))))) * * * [misc]progress: tayloring alt 7 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (cube (cbrt (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (cube (cbrt (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (cube (cbrt (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 (cube (cbrt (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ N 1)))) into (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 (- (* (+ N 1) (cube (cbrt (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (cube (cbrt (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 (cube (cbrt (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ N 1)))) into (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log (+ 1 N))) into (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) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 N)) 0) into (log (+ 1 N)) * [misc]backup-simplify: Simplify (log (+ 1 N)) into (log (+ 1 N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 (log (+ 1 N)))) into (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 (+ (log (+ 1 N)) (- (log N))) into (- (log (+ 1 N)) (log N)) * [misc]backup-simplify: Simplify (- (log (+ 1 N)) (log N)) into (- (log (+ 1 N)) (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (+ 1 N)) (log N)) N) (log (+ 1 N))) into (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (cube (cbrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (cube (cbrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (cube (cbrt (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 (cube (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 N) 1)))) into (log (+ 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]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) (cube (cbrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (cube (cbrt (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 (cube (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 N) 1)))) into (log (+ 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]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 (+ 1 (/ 1 N)))) into (log (+ 1 (/ 1 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 (+ (log (+ 1 (/ 1 N))) (log N)) into (+ (log N) (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (+ (log N) (log (+ 1 (/ 1 N)))) into (+ (log N) (log (+ 1 (/ 1 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 (log (+ 1 (/ 1 N))))) into (log (+ 1 (/ 1 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 (+ (log (+ 1 (/ 1 N))) 0) into (log (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (log (+ 1 (/ 1 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 (log (+ 1 (/ 1 N)))))) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N)))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ 1 (/ 1 N))))))))))) 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 (+ (log (+ 1 (/ 1 N))) (* (+ (log N) (log (+ 1 (/ 1 N)))) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (+ (* N (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (cube (cbrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (cube (cbrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (cube (cbrt (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 (cube (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 (- N)) 1)))) into (log (- 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 (- (* (+ (/ 1 (- N)) 1) (cube (cbrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (cube (cbrt (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 (cube (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 (- N)) 1)))) into (log (- 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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 N)))) into (* -1 (log (- 1 (/ 1 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 (/ 1 N)))) (- (log -1) (log N))) into (- (log -1) (+ (log N) (log (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (- (log -1) (+ (log N) (log (- 1 (/ 1 N))))) into (- (log -1) (+ (log N) (log (- 1 (/ 1 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 0) (* 1 (log (- 1 (/ 1 N))))) into (log (- 1 (/ 1 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 N))) 0) into (log (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 N))) into (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 (log (- 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 (- (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (- 1 (/ 1 N))) (* (- (log -1) (+ (log N) (log (- 1 (/ 1 N))))) (/ 1 (/ 1 (- N))))) into (- (+ (* (log (- 1 (/ 1 N))) N) (+ (* (log N) N) (log (- 1 (/ 1 N))))) (* (log -1) N)) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ N 1)))) into (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (log (+ N 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ N 1)))) into (log (+ 1 N)) * [misc]backup-simplify: Simplify (log (+ 1 N)) into (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 (log (+ 1 N)) into (log (+ 1 N)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 N) 1)))) into (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 N) 1)))) into (log (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (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 (log (+ 1 (/ 1 N))) into (log (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 (- N)) 1)))) into (log (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (log (+ (/ 1 (- N)) 1)))) into (log (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 N))) into (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 (log (- 1 (/ 1 N))) into (log (- 1 (/ 1 N))) * [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 (/ 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]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: tayloring alt 8 of 22 * [misc]approximate: Taking taylor expansion of (- (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 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 (+ 1 N)) (cbrt (log (+ 1 N)))) into (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) into (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 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 (+ 1 N)) (cbrt (log (+ 1 N)))) into (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) into (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) 0) into (* (pow (cbrt (log (+ 1 N))) 3) (pow (cbrt (+ 1 N)) 3)) * [misc]backup-simplify: Simplify (* (pow (cbrt (log (+ 1 N))) 3) (pow (cbrt (+ 1 N)) 3)) into (* (pow (cbrt (log (+ 1 N))) 3) (pow (cbrt (+ 1 N)) 3)) * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (* 0 (cbrt (log (+ 1 N))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -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 (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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) (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 (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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) (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 (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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) (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 (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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) (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 (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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) (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 (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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) (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) (* (pow (cbrt (log (+ 1 N))) 3) (pow (cbrt (+ 1 N)) 3))) into (- (* (pow (cbrt (log (+ 1 N))) 3) (pow (cbrt (+ 1 N)) 3)) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ 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 (+ 1 (/ 1 N))) (cbrt (log (+ 1 (/ 1 N))))) into (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) into (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]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 (- (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ 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 (+ 1 (/ 1 N))) (cbrt (log (+ 1 (/ 1 N))))) into (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) into (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (* -1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 0 (log N)) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) 0) into (* (pow (cbrt (log (+ 1 (/ 1 N)))) 3) (pow (cbrt (+ 1 (/ 1 N))) 3)) * [misc]backup-simplify: Simplify (* (pow (cbrt (log (+ 1 (/ 1 N)))) 3) (pow (cbrt (+ 1 (/ 1 N))) 3)) into (* (pow (cbrt (log (+ 1 (/ 1 N)))) 3) (pow (cbrt (+ 1 (/ 1 N))) 3)) * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (* 0 (cbrt (log (+ 1 (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 1) 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 (- (+ (* 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 (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cbrt (log (+ 1 (/ 1 N)))) 3) (pow (cbrt (+ 1 (/ 1 N))) 3)) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (pow (cbrt (log (+ 1 (/ 1 N)))) 3) (pow (cbrt (+ 1 (/ 1 N))) 3)) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 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 (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))) into (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) into (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 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 (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))) into (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) into (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log N))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) 0) into (* (pow (cbrt (log (- 1 (/ 1 N)))) 3) (pow (cbrt (- 1 (/ 1 N))) 3)) * [misc]backup-simplify: Simplify (* (pow (cbrt (log (- 1 (/ 1 N)))) 3) (pow (cbrt (- 1 (/ 1 N))) 3)) into (* (pow (cbrt (log (- 1 (/ 1 N)))) 3) (pow (cbrt (- 1 (/ 1 N))) 3)) * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (* 0 (cbrt (log (- 1 (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]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 (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (- 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 (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]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 (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]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 (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]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 (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]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 (+ (* (pow (cbrt (log (- 1 (/ 1 N)))) 3) (pow (cbrt (- 1 (/ 1 N))) 3)) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N))))) into (- (+ (* (pow (cbrt (log (- 1 (/ 1 N)))) 3) (pow (cbrt (- 1 (/ 1 N))) 3)) (* (log N) N)) (* (log -1) N)) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 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 (+ 1 N)) (cbrt (log (+ 1 N)))) into (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) into (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 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 (+ 1 N)) (cbrt (log (+ 1 N)))) into (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) into (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) * [misc]backup-simplify: Simplify (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) into (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (* 0 (cbrt (log (+ 1 N))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) into (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) * [misc]approximate: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ 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 (+ 1 (/ 1 N))) (cbrt (log (+ 1 (/ 1 N))))) into (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) into (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ 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 (+ 1 (/ 1 N))) (cbrt (log (+ 1 (/ 1 N))))) into (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) into (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) * [misc]backup-simplify: Simplify (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) into (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (* 0 (cbrt (log (+ 1 (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (+ 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) into (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) * [misc]approximate: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 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 (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))) into (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) into (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 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 (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))) into (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) into (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) * [misc]backup-simplify: Simplify (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) into (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (* 0 (cbrt (log (- 1 (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- 1 (/ 1 N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (log (- 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) into (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) * [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 (/ 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]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: tayloring alt 9 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (exp (log (* N (log N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (exp (log (* 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 (exp (log (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (log (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (exp (+ (log N) (log (log N)))) into (exp (+ (log N) (log (log N)))) * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (exp (log (* 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 (exp (log (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (log (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (exp (+ (log N) (log (log N)))) into (exp (+ (log N) (log (log N)))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- (exp (+ (log N) (log (log N))))) into (- (exp (+ (log N) (log (log N))))) * [misc]backup-simplify: Simplify (+ 0 (- (exp (+ (log N) (log (log N)))))) into (- (exp (+ (log N) (log (log N))))) * [misc]backup-simplify: Simplify (- (exp (+ (log N) (log (log N))))) into (- (exp (+ (log N) (log (log N))))) * [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) (log N)) (log (log N))) into (+ (log N) (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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) (log N)) (log (log N))) into (+ (log N) (log (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 (+ (* (- -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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 (sqr N)) (+ (* 1 N) (- (exp (+ (log N) (log (log N))))))) into (- (+ (* 1/2 (sqr N)) N) (exp (+ (log N) (log (log N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (exp (log (* (/ 1 N) (log (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (exp (log (* (/ 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 (exp (log (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (exp (log (* (/ 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 (exp (log (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [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 (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (exp (- (log (* -1 (log N))) (log N)))) into (- (exp (- (log (* -1 (log N))) (log N)))) * [misc]backup-simplify: Simplify (+ (- 1 (log N)) (- (exp (- (log (* -1 (log N))) (log N))))) into (- 1 (+ (log N) (exp (- (log (* -1 (log N))) (log N))))) * [misc]backup-simplify: Simplify (- 1 (+ (log N) (exp (- (log (* -1 (log N))) (log N))))) into (- 1 (+ (log N) (exp (- (log (* -1 (log N))) (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) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 (/ 1 N)) (+ (- 1 (+ (log N) (exp (- (log (* -1 (log N))) (log N))))) (* (- (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (exp (- (log (* -1 (log N))) (log N))) (+ (log N) (* (log N) N)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (exp (log (* (/ 1 (- N)) (log (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (exp (log (* (/ 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 (exp (log (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (exp (log (* (/ 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 (exp (log (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [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))) 0) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (- (log N) (log -1)) into (- (log N) (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) into (- (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) (- (exp (- (log (* -1 (- (log -1) (log N)))) (log N))))) into (- (+ 1 (log -1)) (+ (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N))))) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (+ (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N))))) into (- (+ 1 (log -1)) (+ (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (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) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* -1/2 (/ 1 (- N))) (+ (- (+ 1 (log -1)) (+ (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N))))) (* (- (log N) (log -1)) (/ 1 (/ 1 (- N)))))) into (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (log N) N) (log N)))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (exp (log (* N (log N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (log (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (exp (+ (log N) (log (log N)))) into (exp (+ (log N) (log (log N)))) * [misc]taylor: Taking taylor expansion of (exp (log (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (log (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (exp (+ (log N) (log (log N)))) into (exp (+ (log N) (log (log N)))) * [misc]backup-simplify: Simplify (exp (+ (log N) (log (log N)))) into (exp (+ (log N) (log (log N)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (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 (+ (* (- -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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log N) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log N) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log N) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log N) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log N) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log N) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log N) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log N) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log N) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log N) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log N) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log N) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log N) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log N) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log N) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log N) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log N) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log N) (log (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (+ (log N) (log (log N)))) into (exp (+ (log N) (log (log N)))) * [misc]approximate: Taking taylor expansion of (exp (log (* (/ 1 N) (log (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (log N)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (log N)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (log N)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (log N)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (log N)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (log N)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (log N)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (log N)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (log N)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (log N)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (log N)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (log N)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (log N)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (log N)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (log N)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (log N))) (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (log (* -1 (log N))) (log N))) into (exp (- (log (* -1 (log N))) (log N))) * [misc]approximate: Taking taylor expansion of (exp (log (* (/ 1 (- N)) (log (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (- (log -1) (log N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (- (log -1) (log N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (- (log -1) (log N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (- (log -1) (log N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (- (log -1) (log N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (- (log -1) (log N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (- (log -1) (log N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) into (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) * [misc]approximate: Taking taylor expansion of (log (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (log (log N)) into (log (log N)) * [misc]taylor: Taking taylor expansion of (log (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (log N))) into (+ (log N) (log (log N))) * [misc]backup-simplify: Simplify (+ (log N) (log (log N))) into (+ (log N) (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log N) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log N) 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log N) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log N) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log N) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log N) 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log N) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log N) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log N) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log N) 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log N) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log N) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log N) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log N) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log N) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log N) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log N) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log N) (log (log N))) into (+ (log N) (log (log N))) * [misc]approximate: Taking taylor expansion of (log (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (log N))) into (log (* -1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (log N)))) into (- (log (* -1 (log N))) (log N)) * [misc]backup-simplify: Simplify (- (log (* -1 (log N))) (log N)) into (- (log (* -1 (log N))) (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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (/ (* (pow (* 1 0) 2)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (log N)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (log N)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (log N)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (log N)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (log N)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (log N)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (log N)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (log N)) 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (log N)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (log N)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (log N)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (log N)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (log N)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (log N)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (log N)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (log N)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (log N)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (log N)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (* -1 (log N))) (log N)) into (- (log (* -1 (log N))) (log N)) * [misc]approximate: Taking taylor expansion of (log (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (log (* (/ 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 (log (* -1 (- (log -1) (log N)))) into (log (* -1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log (* -1 (- (log -1) (log N))))) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * [misc]backup-simplify: Simplify (- (log (* -1 (- (log -1) (log N)))) (log N)) into (- (log (* -1 (- (log -1) (log N)))) (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 (/ (* (pow (* 1 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (/ (* (pow (* 1 0) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (- (log -1) (log N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (- (log -1) (log N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -1 (- (log -1) (log N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -1 (- (log -1) (log N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -1 (- (log -1) (log N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -1 (- (log -1) (log N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -1 (- (log -1) (log N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -1 (- (log -1) (log N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -1 (- (log -1) (log N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -1 (- (log -1) (log N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -1 (- (log -1) (log N))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (* -1 (- (log -1) (log N)))) (log N)) into (- (log (* -1 (- (log -1) (log N)))) (log N)) * * * [misc]progress: tayloring alt 10 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (sqr (sqrt (* N (log N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (sqr (sqrt (* 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 (sqr (sqrt (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (sqr (sqrt (* 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 (sqr (sqrt (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 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 (+ 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 (+ (* 0 (* +nan.0 (log N))) (* (* +nan.0 (log N)) 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (* (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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (log N)) (* +nan.0 (log N))) (* (* +nan.0 (sqr (log N))) 0))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqr (log N))))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 1/2 (- (* +nan.0 (sqr (log N))))) into (- 1/2 (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- 1/2 (* +nan.0 (sqr (log N)))) into (- 1/2 (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow (log N) 3))) (+ (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (sqr (log N))) (* +nan.0 (log N))) (* (* +nan.0 (pow (log N) 3)) 0)))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (pow (log N) 3)))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ -1/6 (- (* +nan.0 (pow (log N) 3)))) into (- (+ 1/6 (- (* +nan.0 (pow (log N) 3))))) * [misc]backup-simplify: Simplify (- (+ 1/6 (- (* +nan.0 (pow (log N) 3))))) into (- (+ 1/6 (- (* +nan.0 (pow (log N) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (+ 1/6 (- (* +nan.0 (pow (log N) 3))))) (pow N 3)) (+ (* (- 1/2 (* +nan.0 (sqr (log N)))) (sqr N)) (* 1 N))) into (- (+ N (* 1/2 (sqr N))) (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (* 1/6 (pow N 3)) (* +nan.0 (* (pow (log N) 3) (pow N 3)))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (sqr (sqrt (* (/ 1 N) (log (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (sqr (sqrt (* (/ 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 (sqr (sqrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (sqr (sqrt (* (/ 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 (sqr (sqrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (* 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 (+ 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 (+ (* 0 (* +nan.0 (log N))) (* (* +nan.0 (log N)) 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (log N)) (* +nan.0 (log N))) (* (* +nan.0 (sqr (log N))) 0))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqr (log N))))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (- 1 (log N)) (- (* +nan.0 (sqr (log N))))) into (- 1 (+ (* +nan.0 (sqr (log N))) (log N))) * [misc]backup-simplify: Simplify (- 1 (+ (* +nan.0 (sqr (log N))) (log N))) into (- 1 (+ (* +nan.0 (sqr (log N))) (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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow (log N) 3))) (+ (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (sqr (log N))) (* +nan.0 (log N))) (* (* +nan.0 (pow (log N) 3)) 0)))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (pow (log N) 3)))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ 1/2 (- (* +nan.0 (pow (log N) 3)))) into (- 1/2 (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (- 1/2 (* +nan.0 (pow (log N) 3))) into (- 1/2 (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* +nan.0 (pow (log N) 3))) (/ 1 N)) (+ (- 1 (+ (* +nan.0 (sqr (log N))) (log N))) (* (- (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (* +nan.0 (sqr (log N))) (- (+ (log N) (* (log N) N)) (* +nan.0 (/ (pow (log N) 3) N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (sqr (sqrt (* (/ 1 (- N)) (log (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (sqr (sqrt (* (/ 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 (sqr (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (sqr (sqrt (* (/ 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 (sqr (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 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 (+ -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 (+ (* 0 (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (- (log -1) (log N))) 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) 0) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (- (log N) (log -1)) into (- (log N) (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) 0))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) into (- (+ 1 (log -1)) (+ (* +nan.0 (sqr (log N))) (- (log N) (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (+ (* +nan.0 (sqr (log N))) (- (log N) (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) into (- (+ 1 (log -1)) (+ (* +nan.0 (sqr (log N))) (- (log N) (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (+ (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) 0)))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (- 1/2) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- 1/2 (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- 1/2 (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- 1/2 (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- 1/2 (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) (/ 1 (- N))) (+ (- (+ 1 (log -1)) (+ (* +nan.0 (sqr (log N))) (- (log N) (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (* (- (log N) (log -1)) (/ 1 (/ 1 (- N)))))) into (- (+ (log -1) (+ 1 (+ (* (log -1) N) (* 1/2 (/ 1 N))))) (+ (* +nan.0 (* (log N) (log -1))) (- (+ (log N) (* (log N) N)) (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))))))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (sqrt (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (log N)) into (* +nan.0 (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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (log N))) into (* +nan.0 (sqr (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 (+ (* (- -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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (log N) 3)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow (log N) 3)) (pow N 3)) (+ (* (* +nan.0 (sqr (log N))) (sqr N)) (* (* +nan.0 (log N)) N))) into (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (* (log N) N)) (- (* +nan.0 (* (pow (log N) 3) (pow N 3)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (log N)) into (* +nan.0 (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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (log N))) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (log N) 3)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow (log N) 3)) (sqr (/ 1 N))) (+ (* (* +nan.0 (sqr (log N))) (/ 1 N)) (* +nan.0 (log N)))) into (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (/ (pow (log N) 3) (sqr N)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (- (log -1) (log N))) into (* +nan.0 (- (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 (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) (sqr (/ 1 (- N)))) (+ (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (/ 1 (- N))) (* +nan.0 (- (log -1) (log N))))) into (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (log -1)) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* N (log N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (log N))) (* (* +nan.0 (log N)) 0)) into 0 * [misc]backup-simplify: Simplify 0 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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (log N)) (* +nan.0 (log N))) (* (* +nan.0 (sqr (log N))) 0))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (log N)))) into (- (* +nan.0 (sqr (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 (+ (* (- -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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow (log N) 3))) (+ (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (sqr (log N))) (* +nan.0 (log N))) (* (* +nan.0 (pow (log N) 3)) 0)))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (log N) 3))) into (- (* +nan.0 (pow (log N) 3))) * [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 (sqr (* +nan.0 (sqr (log N)))) (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (pow (log N) 3)))))) (* 2 0)) into (* +nan.0 (pow (log N) 4)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow (log N) 4))) (+ (* (* +nan.0 (log N)) (* +nan.0 (pow (log N) 3))) (+ (* (* +nan.0 (sqr (log N))) (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (pow (log N) 3)) (* +nan.0 (log N))) (* (* +nan.0 (pow (log N) 4)) 0))))) into (- (* +nan.0 (pow (log N) 4))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (log N) 4))) into (- (* +nan.0 (pow (log N) 4))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (log N) 4))) (pow N 4)) (+ (* (- (* +nan.0 (pow (log N) 3))) (pow N 3)) (* (- (* +nan.0 (sqr (log N)))) (sqr N)))) into (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (* (pow (log N) 4) (pow N 4))) (- (* +nan.0 (* (pow (log N) 3) (pow N 3)))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (/ 1 N) (log (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (log N))) (* (* +nan.0 (log N)) 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (log N)) (* +nan.0 (log N))) (* (* +nan.0 (sqr (log N))) 0))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (log N)))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow (log N) 3))) (+ (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (sqr (log N))) (* +nan.0 (log N))) (* (* +nan.0 (pow (log N) 3)) 0)))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (log N) 3))) into (- (* +nan.0 (pow (log N) 3))) * [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 (sqr (* +nan.0 (sqr (log N)))) (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (pow (log N) 3)))))) (* 2 0)) into (* +nan.0 (pow (log N) 4)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow (log N) 4))) (+ (* (* +nan.0 (log N)) (* +nan.0 (pow (log N) 3))) (+ (* (* +nan.0 (sqr (log N))) (* +nan.0 (sqr (log N)))) (+ (* (* +nan.0 (pow (log N) 3)) (* +nan.0 (log N))) (* (* +nan.0 (pow (log N) 4)) 0))))) into (- (* +nan.0 (pow (log N) 4))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (log N) 4))) into (- (* +nan.0 (pow (log N) 4))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (log N) 4))) (sqr (/ 1 N))) (+ (* (- (* +nan.0 (pow (log N) 3))) (/ 1 N)) (- (* +nan.0 (sqr (log N)))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (* +nan.0 (/ (pow (log N) 3) N))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (- (log -1) (log N))) 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 (/ (+ (* 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 (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) 0))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (+ (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) 0)))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -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 (/ (+ (* 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 (sqr (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4))))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4)))))))))))) (+ (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) (+ (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) (+ (* (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) (* +nan.0 (- (log -1) (log N)))) (* (* +nan.0 (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4))))))))))) 0))))) into (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4))))))))))) into (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log N) (pow (log -1) 3))) (- (+ (* +nan.0 (* (pow (log N) 3) (log -1))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr (log -1)))) (- (+ (* +nan.0 (pow (log N) 4)) (- (* +nan.0 (pow (log -1) 4))))))))))) (sqr (/ 1 (- N)))) (+ (* (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) (/ 1 (- N))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))) into (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (/ (* (log N) (pow (log -1) 3)) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (* (pow (log N) 3) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (pow (log -1) 4) (sqr N))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (sqr (log -1))) (sqr N))) (- (* +nan.0 (sqr (log -1)))))))))))))))))))))))))) * * * [misc]progress: tayloring alt 11 of 22 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (* (log N) (- N)) in (N) around 0 * [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]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) (- 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]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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (log N) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) -1) (* 0 0)) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [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 (/ (+ (* 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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log N)) N) into (* -1 (* (log N) N)) * [misc]approximate: Taking taylor expansion of (* (log (/ 1 N)) (- (/ 1 N))) in (N) around 0 * [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 (/ 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 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 (/ 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (- (log N)) -1) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [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) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 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) 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [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 (- 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 (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [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 (- 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 (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log N) (/ 1 (/ 1 N))) into (* (log N) N) * [misc]approximate: Taking taylor expansion of (* (log (/ 1 (- N))) (- (/ 1 (- N)))) in (N) around 0 * [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 (/ 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 (- 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 (/ 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (- (log -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 (+ (* (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 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 (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]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 (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]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 (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]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 (- 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 (- 0) into 0 * [misc]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) (/ 1 (/ 1 (- N)))) into (* -1 (* N (- (log -1) (log N)))) * [misc]approximate: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow N 3)) (+ (* 1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- 1 (log N)) (* (* -1 (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (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 (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ 1 (log -1)) (log N)) (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))))) into (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) 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 (+ (* (log N) (- 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]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 (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1)) 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 (+ (* (log N) (- 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]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 (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (log N) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) -1) (* 0 0)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (- (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 1 (log N)) into (+ (log N) 1) * [misc]backup-simplify: Simplify (+ (log N) 1) into (+ (log N) 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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* (log N) 0) (+ (* 0 -1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/2 (sqr N)) (+ (* (+ (log N) 1) N) -1)) into (- (+ (* (log N) N) (+ (* 1/2 (sqr N)) N)) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ (* (log (/ 1 N)) (- (/ 1 N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ (* (log (/ 1 N)) (- (/ 1 N))) 1)) 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 (+ (* (log (/ 1 N)) (- (/ 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 (/ 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 (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ (* (log (/ 1 N)) (- (/ 1 N))) 1)) 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 (+ (* (log (/ 1 N)) (- (/ 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 (/ 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 (+ (* (- 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) into -1 * [misc]backup-simplify: Simplify (* (- (log N)) -1) into (log N) * [misc]backup-simplify: Simplify (+ (log N) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (- (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (- (* 2 (log N))) into (- (* 2 (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)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- (log N)) (* (- (* 2 (log N))) (/ 1 (/ 1 N))))) into (- (* 1/2 (/ 1 N)) (+ (log N) (* 2 (* (log N) N)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (+ (* (log (/ 1 (- N))) (- (/ 1 (- N)))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (+ (* (log (/ 1 (- N))) (- (/ 1 (- N)))) 1)) 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 (+ (* (log (/ 1 (- N))) (- (/ 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 (/ 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 (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (+ (* (log (/ 1 (- N))) (- (/ 1 (- N)))) 1)) 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 (+ (* (log (/ 1 (- N))) (- (/ 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 (/ 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 (+ (* (- 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) into 1 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) 1) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) 0) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (- (log N) (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) * [misc]backup-simplify: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -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 (+ (* (- 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (log -1) (log N)) (* (- (* 2 (log N)) (* 2 (log -1))) (/ 1 (/ 1 (- N)))))) into (- (+ (* 2 (* (log -1) N)) (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 2 (* (log N) N)))) * * * [misc]progress: tayloring alt 12 of 22 * [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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N))))) into (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ 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]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 (/ 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]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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) 0) 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 (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 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 (/ 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 (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 (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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (log N) N)) (* (log -1) N)) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (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 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ 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 (log (+ 1 (/ 1 N)))) (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 (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 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 (/ 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 (log (- 1 (/ 1 N)))) (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 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [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 (/ 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]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: tayloring alt 13 of 22 * [misc]approximate: Taking taylor expansion of (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) in N * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ N 1)) (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ N 1)) (+ N 1))) into (cube (* (+ 1 N) (log (+ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log N) N)) in N * [misc]backup-simplify: Simplify (cube (* (log N) N)) into (cube (* (log N) N)) * [misc]taylor: Taking taylor expansion of (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (* (+ N 1) (log (+ N 1)))) 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 (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))) in 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 (* (* (+ 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 (- (cube (* (log N) N))) into (- (cube (* (log N) N))) * [misc]backup-simplify: Simplify (+ (cube (* (+ 1 N) (log (+ 1 N)))) (- (cube (* (log N) N)))) into (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (* 0 0) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 (log N)) (* (log N) 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 (+ 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 (+ (* 0 (log N)) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (+ (* 1 1) (* 1/2 0))) into 1 * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (log N)) (* 1/2 0))) into (log N) * [misc]backup-simplify: Simplify (+ (sqr (log N)) (log N)) into (+ (sqr (log N)) (log N)) * [misc]backup-simplify: Simplify (+ 1 (+ (sqr (log N)) (log N))) into (+ (sqr (log N)) (+ (log N) 1)) * [misc]backup-simplify: Simplify (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) into (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) in N * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ N 1)) (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ N 1)) (+ N 1))) into (cube (* (+ 1 N) (log (+ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log N) N)) in N * [misc]backup-simplify: Simplify (cube (* (log N) N)) into (cube (* (log N) N)) * [misc]taylor: Taking taylor expansion of (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (* (+ N 1) (log (+ N 1)))) 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 (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))) in 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 (* (* (+ 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 (- (cube (* (log N) N))) into (- (cube (* (log N) N))) * [misc]backup-simplify: Simplify (+ (cube (* (+ 1 N) (log (+ 1 N)))) (- (cube (* (log N) N)))) into (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (* 0 0) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 (log N)) (* (log N) 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 (+ 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 (+ (* 0 (log N)) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (+ (* 1 1) (* 1/2 0))) into 1 * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (log N)) (* 1/2 0))) into (log N) * [misc]backup-simplify: Simplify (+ (sqr (log N)) (log N)) into (+ (sqr (log N)) (log N)) * [misc]backup-simplify: Simplify (+ 1 (+ (sqr (log N)) (log N))) into (+ (sqr (log N)) (+ (log N) 1)) * [misc]backup-simplify: Simplify (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) into (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) * [misc]backup-simplify: Simplify (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) into (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (+ (* 0 -1/6) (+ (* 1 1/2) (+ (* 1/2 1) (* -1/6 0)))) into 1 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 1/2 (log N)) (* -1/6 0)))) into (* 1/2 (log N)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (log N))) into (* 1/2 (log N)) * [misc]backup-simplify: Simplify (+ 1 (* 1/2 (log N))) into (+ (* 1/2 (log N)) 1) * [misc]backup-simplify: Simplify (- (/ 0 (+ (sqr (log N)) (+ (log N) 1))) (+ (* (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) (/ (+ (* 1/2 (log N)) 1) (+ (sqr (log N)) (+ (log N) 1)))))) into (- (+ (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1)))) (* 1/2 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) * [misc]backup-simplify: Simplify (- (+ (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1)))) (* 1/2 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) into (- (+ (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1)))) (* 1/2 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/4) (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0))))) into 1/12 * [misc]backup-simplify: Simplify (+ (* 0 1/12) (+ (* 1 -1/6) (+ (* 1/2 1/2) (+ (* -1/6 1) (* 1/12 0))))) into -1/12 * [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 (/ (+ (* -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) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/4) (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0))))) into 1/12 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 1/2 0) (+ (* -1/6 (log N)) (* 1/12 0))))) into (- (* 1/6 (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (log N)))) into (- (* 1/6 (log N))) * [misc]backup-simplify: Simplify (+ -1/12 (- (* 1/6 (log N)))) into (- (+ (* 1/6 (log N)) 1/12)) * [misc]backup-simplify: Simplify (- (/ 0 (+ (sqr (log N)) (+ (log N) 1))) (+ (* (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) (/ (- (+ (* 1/6 (log N)) 1/12)) (+ (sqr (log N)) (+ (log N) 1)))) (* (- (+ (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1)))) (* 1/2 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (/ (+ (* 1/2 (log N)) 1) (+ (sqr (log N)) (+ (log N) 1)))))) into (- (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/6 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (* 1/12 (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))) (+ (/ (cube (* (log N) N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/12 (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/2 (/ (* (cube (* (log N) N)) (log N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (* 1/6 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/6 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (* 1/12 (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))) (+ (/ (cube (* (log N) N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/12 (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/2 (/ (* (cube (* (log N) N)) (log N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (* 1/6 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))))) into (- (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/6 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (* 1/12 (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))) (+ (/ (cube (* (log N) N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/12 (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/2 (/ (* (cube (* (log N) N)) (log N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (* 1/6 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/6 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (* 1/12 (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))) (+ (/ (cube (* (log N) N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/12 (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/2 (/ (* (cube (* (log N) N)) (log N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (* 1/6 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1))))))))))) (+ (* (- (+ (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1)))) (* 1/2 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))) (/ 1 N)) (* (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (log N)) (+ (log N) 1))) (sqr (/ 1 N))))) into (- (+ (/ (cube (* (log N) N)) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N)) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N))) (+ (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/6 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (* (+ (sqr (log N)) (+ (log N) 1)) (sqr N))) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (* 1/12 (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))))))))) (+ (/ (cube (* (log N) N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/6 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/12 (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/2 (/ (* (cube (* (log N) N)) (log N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N))) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N)) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (/ (cube (* (log N) N)) (* (+ (sqr (log N)) (+ (log N) 1)) (sqr N)))))))))))) * [misc]approximate: Taking taylor expansion of (/ (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) (+ (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) (+ (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) into (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 N)) (/ 1 N))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 N)) (/ 1 N))) into (cube (/ (log (/ 1 N)) N)) * [misc]taylor: Taking taylor expansion of (+ (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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 (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N))))) in 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]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 (- (cube (/ (log (/ 1 N)) N))) into (- (cube (/ (log (/ 1 N)) N))) * [misc]backup-simplify: Simplify (+ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (- (cube (/ (log (/ 1 N)) N)))) into (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) * [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)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [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)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (+ (sqr (log N)) (sqr (log N))) into (* 2 (sqr (log N))) * [misc]backup-simplify: Simplify (+ (sqr (log N)) (* 2 (sqr (log N)))) into (* 3 (sqr (log N))) * [misc]backup-simplify: Simplify (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) (* 3 (sqr (log N)))) into (* 1/3 (/ (- (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) * [misc]taylor: Taking taylor expansion of (/ (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) (+ (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) into (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 N)) (/ 1 N))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 N)) (/ 1 N))) into (cube (/ (log (/ 1 N)) N)) * [misc]taylor: Taking taylor expansion of (+ (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqr (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) 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 (+ (sqr (* (/ 1 N) (log (/ 1 N)))) (* (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N))))) in 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]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 (- (cube (/ (log (/ 1 N)) N))) into (- (cube (/ (log (/ 1 N)) N))) * [misc]backup-simplify: Simplify (+ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (- (cube (/ (log (/ 1 N)) N)))) into (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) * [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)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [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)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (+ (sqr (log N)) (sqr (log N))) into (* 2 (sqr (log N))) * [misc]backup-simplify: Simplify (+ (sqr (log N)) (* 2 (sqr (log N)))) into (* 3 (sqr (log N))) * [misc]backup-simplify: Simplify (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) (* 3 (sqr (log N)))) into (* 1/3 (/ (- (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) * [misc]backup-simplify: Simplify (* 1/3 (/ (- (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) into (* 1/3 (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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)) (- 1 (log N))) (* (- 1 (log N)) (* -1 (log N)))) into (- (* 2 (sqr (log N))) (* 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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)) 0) (* (- 1 (log N)) (* -1 (log N)))) into (- (sqr (log N)) (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr (log N)) (log N))) into (- (sqr (log N)) (log N)) * [misc]backup-simplify: Simplify (+ (- (* 2 (sqr (log N))) (* 2 (log N))) (- (sqr (log N)) (log N))) into (- (* 3 (sqr (log N))) (* 3 (log N))) * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (sqr (log N)))) (+ (* (* 1/3 (/ (- (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) (/ (- (* 3 (sqr (log N))) (* 3 (log N))) (* 3 (sqr (log N))))))) into (- (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N))))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N))))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N)))))) into (- (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 3))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N))))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (sqr (log N)))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))))) * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 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 (log N)) 1/2) (+ (* (- 1 (log N)) (- 1 (log N))) (* 1/2 (* -1 (log N))))) into (- (+ (sqr (log N)) 1) (* 3 (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (* 0 (* -1 (log N))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* (- 1 (log N)) 0) (* 1/2 (* -1 (log N))))) into (- (* 1/2 (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (log N)))) into (- (* 1/2 (log N))) * [misc]backup-simplify: Simplify (+ (- (+ (sqr (log N)) 1) (* 3 (log N))) (- (* 1/2 (log N)))) into (- (+ (sqr (log N)) 1) (* 7/2 (log N))) * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (sqr (log N)))) (+ (* (* 1/3 (/ (- (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) (/ (- (+ (sqr (log N)) 1) (* 7/2 (log N))) (* 3 (sqr (log N))))) (* (- (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N))))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N)))))) (/ (- (* 3 (sqr (log N))) (* 3 (log N))) (* 3 (sqr (log N))))))) into (- (+ (* 5/18 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (+ (* 7/18 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (sqr (log N)))) (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 4)))))) (+ (* 2/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 3))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 4))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N)))) (+ (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 4))) (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N))))))))) * [misc]backup-simplify: Simplify (- (+ (* 5/18 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (+ (* 7/18 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (sqr (log N)))) (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 4)))))) (+ (* 2/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 3))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 4))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N)))) (+ (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 4))) (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N))))))))) into (- (+ (* 7/18 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 3))) (+ (* 5/18 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 4))) (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N))))))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 4))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N)))) (+ (* 2/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (+ (* 1/9 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (sqr (log N)))) (* 1/9 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 4)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 7/18 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 3))) (+ (* 5/18 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))) (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 4))) (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (sqr (log N))))))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 4))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N)))) (+ (* 2/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (pow (log N) 3))) (+ (* 1/9 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (sqr (log N)))) (* 1/9 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 4)))))))) (pow (/ 1 N) 4)) (+ (* (- (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (pow (log N) 3))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (sqr (log N))))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (sqr (log N)))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (pow (log N) 3))))) (pow (/ 1 N) 3)) (* (* 1/3 (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) (sqr (log N)))) (sqr (/ 1 N))))) into (- (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (sqr (log N)) (pow N 4)))) (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (pow (log N) 3) (pow N 3)))) (+ (* 7/18 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (pow (log N) 3) (pow N 4)))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (pow (log N) 4) (pow N 4)))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (sqr (log N)) (sqr N)))) (+ (* 5/18 (/ (cube (/ (log (/ 1 N)) N)) (* (pow (log N) 3) (pow N 4)))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (* (sqr (log N)) (pow N 3)))))))))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (* (sqr (log N)) (sqr N)))) (+ (* 2/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (pow (log N) 3) (pow N 4)))) (+ (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (sqr (log N)) (pow N 4)))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (* (pow (log N) 4) (pow N 4)))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (* (pow (log N) 3) (pow N 3)))) (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (sqr (log N)) (pow N 3)))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (* (sqr (log N)) (pow N 4)))) (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (pow (log N) 4) (pow N 4)))))))))))) * [misc]approximate: Taking taylor expansion of (/ (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) (+ (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N)))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) (+ (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) into (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) into (cube (* -1 (/ (log (/ -1 N)) N))) * [misc]taylor: Taking taylor expansion of (+ (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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 (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N)))))) in 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 (* (* (+ (/ 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 (- (cube (* -1 (/ (log (/ -1 N)) N)))) into (- (cube (* -1 (/ (log (/ -1 N)) N)))) * [misc]backup-simplify: Simplify (+ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (- (cube (* -1 (/ (log (/ -1 N)) N))))) into (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) * [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))) (* -1 (- (log -1) (log N)))) into (sqr (- (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))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [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))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (sqr (- (log -1) (log N))) (sqr (- (log -1) (log N)))) into (- (+ (* 2 (sqr (log N))) (* 2 (sqr (log -1)))) (* 4 (* (log N) (log -1)))) * [misc]backup-simplify: Simplify (+ (sqr (- (log -1) (log N))) (- (+ (* 2 (sqr (log N))) (* 2 (sqr (log -1)))) (* 4 (* (log N) (log -1))))) into (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) * [misc]backup-simplify: Simplify (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) into (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) * [misc]taylor: Taking taylor expansion of (/ (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) (+ (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) into (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) into (cube (* -1 (/ (log (/ -1 N)) N))) * [misc]taylor: Taking taylor expansion of (+ (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqr (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) 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 (+ (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) (* (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N)))))) in 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 (* (* (+ (/ 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 (- (cube (* -1 (/ (log (/ -1 N)) N)))) into (- (cube (* -1 (/ (log (/ -1 N)) N)))) * [misc]backup-simplify: Simplify (+ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (- (cube (* -1 (/ (log (/ -1 N)) N))))) into (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) * [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))) (* -1 (- (log -1) (log N)))) into (sqr (- (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))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [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))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (sqr (- (log -1) (log N))) (sqr (- (log -1) (log N)))) into (- (+ (* 2 (sqr (log N))) (* 2 (sqr (log -1)))) (* 4 (* (log N) (log -1)))) * [misc]backup-simplify: Simplify (+ (sqr (- (log -1) (log N))) (- (+ (* 2 (sqr (log N))) (* 2 (sqr (log -1)))) (* 4 (* (log N) (log -1))))) into (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) * [misc]backup-simplify: Simplify (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) into (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) * [misc]backup-simplify: Simplify (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) into (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) (- (+ 1 (log -1)) (log N))) (* (- (+ 1 (log -1)) (log N)) (* -1 (- (log -1) (log N))))) into (- (+ (* 2 (log N)) (* 4 (* (log N) (log -1)))) (+ (* 2 (sqr (log N))) (+ (* 2 (sqr (log -1))) (* 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (* (- (+ 1 (log -1)) (log N)) (* -1 (- (log -1) (log N))))) into (- (+ (* 2 (* (log N) (log -1))) (log N)) (+ (sqr (log N)) (+ (sqr (log -1)) (log -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 2 (* (log N) (log -1))) (log N)) (+ (sqr (log N)) (+ (sqr (log -1)) (log -1))))) into (- (+ (* 2 (* (log N) (log -1))) (log N)) (+ (sqr (log N)) (+ (sqr (log -1)) (log -1)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 2 (log N)) (* 4 (* (log N) (log -1)))) (+ (* 2 (sqr (log N))) (+ (* 2 (sqr (log -1))) (* 2 (log -1))))) (- (+ (* 2 (* (log N) (log -1))) (log N)) (+ (sqr (log N)) (+ (sqr (log -1)) (log -1))))) into (- (+ (* 3 (log N)) (* 6 (* (log N) (log -1)))) (+ (* 3 (sqr (log N))) (+ (* 3 (sqr (log -1))) (* 3 (log -1))))) * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (+ (* (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (/ (- (+ (* 3 (log N)) (* 6 (* (log N) (log -1)))) (+ (* 3 (sqr (log N))) (+ (* 3 (sqr (log -1))) (* 3 (log -1))))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))) into (- (+ (* 6 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))))))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 6 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))))))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))))))) into (- (+ (* 3 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))))))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- (log -1) (log N))) (- 1/2)) (+ (* (- (+ 1 (log -1)) (log N)) (- (+ 1 (log -1)) (log N))) (* (- 1/2) (* -1 (- (log -1) (log N)))))) into (- (+ (sqr (log N)) (+ 1 (+ (sqr (log -1)) (* 3 (log -1))))) (+ (* 3 (log N)) (* 2 (* (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* (- (+ 1 (log -1)) (log N)) 0) (* (- 1/2) (* -1 (- (log -1) (log N)))))) into (- (* 1/2 (log -1)) (* 1/2 (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (log -1)) (* 1/2 (log N)))) into (- (* 1/2 (log -1)) (* 1/2 (log N))) * [misc]backup-simplify: Simplify (+ (- (+ (sqr (log N)) (+ 1 (+ (sqr (log -1)) (* 3 (log -1))))) (+ (* 3 (log N)) (* 2 (* (log N) (log -1))))) (- (* 1/2 (log -1)) (* 1/2 (log N)))) into (- (+ (sqr (log N)) (+ (sqr (log -1)) (+ 1 (* 7/2 (log -1))))) (+ (* 7/2 (log N)) (* 2 (* (log N) (log -1))))) * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (+ (* (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (/ (- (+ (sqr (log N)) (+ (sqr (log -1)) (+ 1 (* 7/2 (log -1))))) (+ (* 7/2 (log N)) (* 2 (* (log N) (log -1))))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (* (- (+ (* 6 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))))))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))))))) (/ (- (+ (* 3 (log N)) (* 6 (* (log N) (log -1)))) (+ (* 3 (sqr (log N))) (+ (* 3 (sqr (log -1))) (* 3 (log -1))))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))) into (- (+ (* 9 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 9 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 27 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (pow (log N) 3) (cube (* -1 (/ (log (/ -1 N)) N)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 2 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 4)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 27 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (pow (log N) 4) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))))))))))))))))))))))) (+ (* 9 (/ (* (pow (log N) 4) (cube (* -1 (/ (log (/ -1 N)) N)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (sqr (log N)) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (pow (log N) 3) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 4)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 54 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (sqr (log N)) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 36 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 2 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (/ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 9 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))))))))))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 9 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 9 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 27 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (pow (log N) 3) (cube (* -1 (/ (log (/ -1 N)) N)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 2 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 4)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 27 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (pow (log N) 4) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) 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N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 4)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 54 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (sqr (log N)) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 36 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 2 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (/ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (- (+ (* 3 (sqr (log N))) 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(* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 27 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ 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(- 1 (/ 1 N)))) (pow (log -1) 3))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 2 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))))))))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 9 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (pow (log N) 4) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 9 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log 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1 N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 4)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))) (+ (* 18 (/ (* (pow (log N) 3) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 7/2 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log 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-1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3)) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))) (+ (* 2 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3))))))))))))))))))))))) (pow (/ 1 (- N)) 4)) (+ (* (- (+ (* 3 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))))))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 6 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))))) (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))))))))))) (pow (/ 1 (- N)) 3)) (* (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (sqr (/ 1 (- N)))))) into (- (+ (* 27 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 2 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (* 27 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 18 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3)) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 7/2 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (pow (log N) 4) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 18 (/ (* (pow (log N) 3) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (/ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (* (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) (sqr N))) (+ (* 6 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 18 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 4)) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (/ (cube (* -1 (/ (log (/ -1 N)) N))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (* 9 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (pow (log -1) 3))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (* 7/2 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1)) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))))))))))))))))))))))))))))) (+ (* 54 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 6 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (* 36 (/ (* (pow (log N) 3) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (sqr (log N)) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (pow (log N) 4) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 7/2 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 18 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 3)) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 2 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (* 18 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 36 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (/ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 3 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 7/2 (/ (* (log N) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (/ (* (sqr (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (* 18 (/ (* (pow (log N) 3) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (/ (cube (* -1 (/ (log (/ -1 N)) N))) (* (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) (sqr N))) (+ (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (sqr (log N)) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 45 (/ (* (sqr (log N)) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (* 9 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (pow (log -1) 4)) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))))))))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ N 1)) (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ N 1)) (+ N 1))) into (cube (* (+ 1 N) (log (+ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log N) N)) in N * [misc]backup-simplify: Simplify (cube (* (log N) N)) into (cube (* (log N) N)) * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ N 1)) (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ N 1)) (+ N 1))) into (cube (* (+ 1 N) (log (+ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log N) N)) in N * [misc]backup-simplify: Simplify (cube (* (log N) N)) into (cube (* (log N) N)) * [misc]backup-simplify: Simplify (- (cube (* (log N) N))) into (- (cube (* (log N) N))) * [misc]backup-simplify: Simplify (+ (cube (* (+ 1 N) (log (+ 1 N)))) (- (cube (* (log N) N)))) into (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) * [misc]backup-simplify: Simplify (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) into (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) into (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) * [misc]approximate: Taking taylor expansion of (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) into (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 N)) (/ 1 N))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 N)) (/ 1 N))) into (cube (/ (log (/ 1 N)) N)) * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (cube (* (log (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) into (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 N)) (/ 1 N))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 N)) (/ 1 N))) into (cube (/ (log (/ 1 N)) N)) * [misc]backup-simplify: Simplify (- (cube (/ (log (/ 1 N)) N))) into (- (cube (/ (log (/ 1 N)) N))) * [misc]backup-simplify: Simplify (+ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (- (cube (/ (log (/ 1 N)) N)))) into (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) * [misc]backup-simplify: Simplify (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) into (- (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (cube (/ (log (/ 1 N)) N))) into (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) * [misc]approximate: Taking taylor expansion of (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) into (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) into (cube (* -1 (/ (log (/ -1 N)) N))) * [misc]taylor: Taking taylor expansion of (- (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) (cube (* (log (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) into (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (cube (* (log (/ 1 (- N))) (/ 1 (- N)))) into (cube (* -1 (/ (log (/ -1 N)) N))) * [misc]backup-simplify: Simplify (- (cube (* -1 (/ (log (/ -1 N)) N)))) into (- (cube (* -1 (/ (log (/ -1 N)) N)))) * [misc]backup-simplify: Simplify (+ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (- (cube (* -1 (/ (log (/ -1 N)) N))))) into (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) * [misc]backup-simplify: Simplify (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) into (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) into (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * [misc]progress: tayloring alt 14 of 22 * [misc]approximate: Taking taylor expansion of (cbrt (cube (* (+ N 1) (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (log (+ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (log (+ 1 N))) * [misc]backup-simplify: Simplify (* (+ 1 N) (log (+ 1 N))) into (* (+ 1 N) (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 (* (+ 1 N) (log (+ 1 N))) into (* (+ 1 N) (log (+ 1 N))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) into (* (+ 1 (/ 1 N)) (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 (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) into (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) into (* (log (- 1 (/ 1 N))) (- 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 (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) into (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (cbrt (cube (* (+ N 1) (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (cube (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (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 (- (cbrt (cube (* (+ N 1) (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ N 1) (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ N 1) (log (+ N 1))))) into (* (+ 1 N) (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 (+ (* (+ 1 N) (log (+ 1 N))) 0) into (+ (* N (log (+ 1 N))) (log (+ 1 N))) * [misc]backup-simplify: Simplify (+ (* N (log (+ 1 N))) (log (+ 1 N))) into (+ (log (+ 1 N)) (* N (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) (+ (log (+ 1 N)) (* N (log (+ 1 N))))) into (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 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]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 (- (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))))) into (* (log (+ 1 (/ 1 N))) (+ 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]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 (+ (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) 0) into (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) into (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N)))) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (- (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 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 (- (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (cube (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))))) into (* (log (- 1 (/ 1 N))) (- 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 (+ (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) 0) into (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) N)) * [misc]backup-simplify: Simplify (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) N)) into (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) 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 (+ (- (log (- 1 (/ 1 N))) (/ (log (- 1 (/ 1 N))) N)) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N))))) into (- (+ (* (log N) N) (log (- 1 (/ 1 N)))) (+ (/ (log (- 1 (/ 1 N))) N) (* (log -1) N))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [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 (* N (- (log -1) (log N))) * * * [misc]progress: tayloring alt 15 of 22 * [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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N))))) 0) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) * [misc]backup-simplify: Simplify (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))))) into (- (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ 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]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 (/ 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]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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) into (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (* 0 (* -1 (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 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 (log (+ 1 (/ 1 N)))) (cbrt (+ 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 (- (+ (* 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 (/ 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 (- (+ (* 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 (/ 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 (- (+ (* 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 (/ 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 (- (+ (* 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 (/ 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 (- (+ (* 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 (/ 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 (- (+ (* 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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (* (- (sqr (log N))) (sqr (/ 1 (/ 1 N))))) into (- (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 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 (/ 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 N)) (sqr (log -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1))))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) * [misc]backup-simplify: Simplify (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (* 0 (* -1 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (sqr (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 (+ (* (* -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 (log (- 1 (/ 1 N)))) (cbrt (- 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 (log (- 1 (/ 1 N)))) (cbrt (- 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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (* (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (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]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (log (+ 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)))) (+ (* N (log N)) (* (+ N 1) (log (+ 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 (log (+ 1 N))) (cbrt (+ 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 (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ N 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 (* (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N))))) 0) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 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 (+ (log N) 1) into (+ (log N) 1) * [misc]backup-simplify: Simplify (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) into (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (log (+ 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 (log (+ 1 N))) (cbrt (+ 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 (+ (* N (log N)) (* (+ N 1) (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ N 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 (* (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N))))) 0) into (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 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 (+ (log N) 1) into (+ (log N) 1) * [misc]backup-simplify: Simplify (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) into (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) * [misc]backup-simplify: Simplify (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) into (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 (+ (log N) 1)) (+ (* (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) (/ 1/2 (+ (log N) 1))))) into (- (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1))))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1))))) into (- (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1))))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (- (/ (- (sqr (log N))) (+ (log N) 1)) (+ (* (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) (/ -1/6 (+ (log N) 1))) (* (- (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1))))) (/ 1/2 (+ (log N) 1))))) into (- (+ (* 1/6 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1)))) (* 1/4 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (pow (+ (log N) 1) 3)))) (/ (sqr (log N)) (+ (log N) 1))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1)))) (* 1/4 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (pow (+ (log N) 1) 3)))) (/ (sqr (log N)) (+ (log N) 1))) into (- (+ (* 1/6 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1)))) (* 1/4 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (pow (+ (log N) 1) 3)))) (/ (sqr (log N)) (+ (log N) 1))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/6 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1)))) (* 1/4 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (pow (+ (log N) 1) 3)))) (/ (sqr (log N)) (+ (log N) 1))) N) (+ (- (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1))))) (* (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (+ (log N) 1)) (/ 1 N)))) into (- (+ (* 1/4 (/ (* (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) N) (pow (+ (log N) 1) 3))) (+ (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (* (+ (log N) 1) N)) (* 1/6 (/ (* (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) N) (sqr (+ (log N) 1)))))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1)))) (/ (* (sqr (log N)) N) (+ (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))))) (+ (* (/ 1 N) (log (/ 1 N))) (* (+ (/ 1 N) 1) (log (+ (/ 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))))) (+ (* (/ 1 N) (log (/ 1 N))) (* (+ (/ 1 N) 1) (log (+ (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 N) (log (/ 1 N))) (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ 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)) (* -1 (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (/ (- (sqr (log N))) (- (* 2 (log N)))) into (* 1/2 (log N)) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) (+ (* (/ 1 N) (log (/ 1 N))) (* (+ (/ 1 N) 1) (log (+ (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 N) (log (/ 1 N))) (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ 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)) (* -1 (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (/ (- (sqr (log N))) (- (* 2 (log N)))) into (* 1/2 (log N)) * [misc]backup-simplify: Simplify (* 1/2 (log N)) into (* 1/2 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (* 0 (* -1 (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ 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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) into (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (* 0 (* -1 (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) 0) into (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (- (* 2 (log N)))) (+ (* (* 1/2 (log N)) (/ 1/2 (- (* 2 (log N))))) (* (- 1/4 (* 1/4 (log N))) (/ (- 1 (log N)) (- (* 2 (log N))))))) into (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (log N))) 1/8)) * [misc]backup-simplify: Simplify (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (log N))) 1/8)) into (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (log N))) 1/8)) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (log N))) 1/8)) (/ 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))) (+ 1/4 (* 1/8 (/ (log N) N))))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (* (log N) N))) (+ (* 1/4 (log N)) (* 1/8 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ (/ 1 (- N)) 1) (log (+ (/ 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)))))) (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ (/ 1 (- N)) 1) (log (+ (/ 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 (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 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) (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 N)) (sqr (log -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1))))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (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 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))) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ (/ 1 (- N)) 1) (log (+ (/ 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 (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 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) (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 N)) (sqr (log -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1))))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (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 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))) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (* 0 (* -1 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (+ 1 (log -1)) (log N))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 2 (log N)) (* 2 (log -1)))) (+ (* (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ (- (+ 1 (log -1)) (log N)) (- (* 2 (log N)) (* 2 (log -1))))))) into (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (pow (log -1) 3) (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))))) (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) * [misc]backup-simplify: Simplify (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (pow (log -1) 3) (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))))) (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) into (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (pow (log -1) 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 (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log N) 3) (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 (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 (+ (* (* -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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) 0) into (sqr (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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ -1/2 (- (* 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)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (pow (log -1) 3) (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))))) (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (/ (- (+ 1 (log -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 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))))))))) (+ (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 6 (/ (* (sqr (log N)) (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))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (/ (sqr (log N)) (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 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))))))))) (+ (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 6 (/ (* (sqr (log N)) (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))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))) into (- (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))))))))) (+ (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (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)) (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))))))))) (+ (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (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)) (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))))))))))) (/ 1 (- N))) (+ (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (pow (log -1) 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 (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (* (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log N)) (sqr (log -1)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ 1 (/ 1 (- N)))))) into (- (+ (/ (pow (log N) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (sqr (log N)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (* (sqr (log N)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 1/2 (/ (sqr (log N)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (* (sqr (log -1)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log -1) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))))))))))))))))) (+ (* 2 (/ (pow (log N) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 2 (/ (* (log N) (* (log -1) N)) (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (* (log N) (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N)) (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) 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))) (+ (* 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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (* (- (* 2 (log N)) (* 2 (log -1))) N))))))))))))) * * * [misc]progress: tayloring alt 16 of 22 * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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)) (cube (cbrt (cbrt (log (+ N 1))))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N)))) 0) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 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 (log (+ 1 N))) (cbrt (+ 1 N))))) into (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (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)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (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]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)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (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]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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) 0) 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 (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (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)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (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)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (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 (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 (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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (log N) N)) (* (log -1) N)) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (log (+ N 1))))))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (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 (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) into (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (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)) (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cube (cbrt (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 (log (+ 1 (/ 1 N)))) (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 (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) into (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (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)) (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cube (cbrt (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 (log (- 1 (/ 1 N)))) (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 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (cbrt (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (cbrt (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (cbrt (log (+ N 1))))) into (cbrt (log (+ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (cbrt (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (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 (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))) into (cbrt (log (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (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]approximate: Taking taylor expansion of (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))) into (cbrt (log (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (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: tayloring alt 17 of 22 * [misc]approximate: Taking taylor expansion of (- (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr N) 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr N) 1) in N * [misc]taylor: Taking taylor expansion of (sqr N) in N * [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) in N * [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 0) into 0 * [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 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 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [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 N) 1) (log (+ N 1))) (- N 1)) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr N) 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr N) 1) in N * [misc]taylor: Taking taylor expansion of (sqr N) in N * [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) in N * [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 0) into 0 * [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 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 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [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 (+ 0 0) 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 (- (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) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 0 1) (* 1 0))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1/2 -1) (+ (* 1 (/ 1 -1)))) 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) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/3) (+ (* 0 -1/2) (+ (* 1 1) (* 0 0)))) into 2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 -1) (+ (* 1 (/ 0 -1)) (* 1/2 (/ 1 -1)))) 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) (+ (* 1/6 (pow N 3)) (* (log N) N))) * [misc]approximate: Taking taylor expansion of (- (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 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 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) 1) into (* -1 (log 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 (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 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 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) 1) into (* -1 (log 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))) 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 (+ (* 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) (* 0 (- (log N)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* (* -1 (log N)) (/ -1 1)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 0 1) (* -1 (- (log N))))) into (- (log N) 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (log N) 1/2) 1) (+ (* (* -1 (log N)) (/ 0 1)) (* (- 1 (log N)) (/ -1 1)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 1/3) (+ (* 0 -1/2) (+ (* -1 1) (* 0 (- (log N)))))) into (- 2/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2/3) 1) (+ (* (* -1 (log N)) (/ 0 1)) (* (- 1 (log N)) (/ 0 1)) (* 1/2 (/ -1 1)))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 N))) (+ (* 1/2 (/ 1 N)) (- 1 (log N)))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 -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 (- (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]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 (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 -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 (- (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]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 (+ (* -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 (+ (* -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) (* 0 (- (log -1) (log N)))) into (- 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- 1) -1) (+ (* (* -1 (- (log -1) (log N))) (/ -1 -1)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 -1/2) (+ (* 0 -1) (* -1 (- (log -1) (log N))))) into (- (log N) (+ 1/2 (log -1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (log N) (+ 1/2 (log -1))) -1) (+ (* (* -1 (- (log -1) (log N))) (/ 0 -1)) (* (- (+ 1 (log -1)) (log N)) (/ -1 -1)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (+ (* 1 -1/3) (+ (* 0 -1/2) (+ (* -1 -1) (* 0 (- (log -1) (log N)))))) into 2/3 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 -1) (+ (* (* -1 (- (log -1) (log N))) (/ 0 -1)) (* (- (+ 1 (log -1)) (log N)) (/ 0 -1)) (* (- 1/2) (/ -1 -1)))) into (- 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr N) 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr N) 1) in N * [misc]taylor: Taking taylor expansion of (sqr N) in N * [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) in N * [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 0) into 0 * [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 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 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr N) 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr N) 1) in N * [misc]taylor: Taking taylor expansion of (sqr N) in N * [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) in N * [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 0) into 0 * [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 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 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 0 1) (* 1 0))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1/2 -1) (+ (* 1 (/ 1 -1)))) 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) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/3) (+ (* 0 -1/2) (+ (* 1 1) (* 0 0)))) into 2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 -1) (+ (* 1 (/ 0 -1)) (* 1/2 (/ 1 -1)))) 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 (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 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 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) 1) into (* -1 (log N)) * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) (- (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 N)) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 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 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) 1) 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 (+ (* 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) (* 0 (- (log N)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* (* -1 (log N)) (/ -1 1)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 0 1) (* -1 (- (log N))))) into (- (log N) 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (log N) 1/2) 1) (+ (* (* -1 (log N)) (/ 0 1)) (* (- 1 (log N)) (/ -1 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- 1 (log N)) (* (* -1 (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (log N) N))) * [misc]approximate: Taking taylor expansion of (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 -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 (- (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]taylor: Taking taylor expansion of (/ (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) (- (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (* (- (sqr (/ 1 (- N))) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 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 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) 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 -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 (- (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))) 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 (+ (* -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) (* 0 (- (log -1) (log N)))) into (- 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- 1) -1) (+ (* (* -1 (- (log -1) (log N))) (/ -1 -1)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 -1/2) (+ (* 0 -1) (* -1 (- (log -1) (log N))))) into (- (log N) (+ 1/2 (log -1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (log N) (+ 1/2 (log -1))) -1) (+ (* (* -1 (- (log -1) (log N))) (/ 0 -1)) (* (- (+ 1 (log -1)) (log N)) (/ -1 -1)))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ 1 (log -1)) (log N)) (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))))) into (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) * [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 (* N (- (log -1) (log N))) * * * [misc]progress: tayloring alt 18 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (cube (cbrt (* N (log N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (cube (cbrt (* 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 (cube (cbrt (* N (log N)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* N (log N)))) into (* (log N) N) * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (cube (cbrt (* 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 (cube (cbrt (* N (log N)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* N (log N)))) into (* (log N) N) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- (* (log N) N)) into (- (* (log N) N)) * [misc]backup-simplify: Simplify (+ 0 (- (* (log N) N))) into (- (* (log N) N)) * [misc]backup-simplify: Simplify (- (* (log N) N)) into (- (* (log N) N)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (- 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 N) (- (* (log N) N)))) into (- (+ (* 1/2 (sqr N)) N) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (cube (cbrt (* (/ 1 N) (log (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (cube (cbrt (* (/ 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 (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (cube (cbrt (* (/ 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 (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [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 (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (/ (log (/ 1 N)) N)) into (- (/ (log (/ 1 N)) N)) * [misc]backup-simplify: Simplify (+ (- 1 (log N)) (- (/ (log (/ 1 N)) N))) into (- 1 (+ (log N) (/ (log (/ 1 N)) N))) * [misc]backup-simplify: Simplify (- 1 (+ (log N) (/ (log (/ 1 N)) N))) into (- 1 (+ (log N) (/ (log (/ 1 N)) 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 (- 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 (/ 1 N)) (+ (- 1 (+ (log N) (/ (log (/ 1 N)) N))) (* (- (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (+ (/ (log (/ 1 N)) N) (* (log N) N)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (cube (cbrt (* (/ 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 (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (cube (cbrt (* (/ 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 (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [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))) 0) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (- (log N) (log -1)) into (- (log N) (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (* -1 (/ (log (/ -1 N)) N))) into (/ (log (/ -1 N)) N) * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) (/ (log (/ -1 N)) N)) into (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) * [misc]backup-simplify: Simplify (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) into (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ (/ (log (/ -1 N)) N) (+ 1 (log -1))) (log N)) (* (- (log N) (log -1)) (/ 1 (/ 1 (- N)))))) into (- (+ (/ (log (/ -1 N)) N) (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1))))) (+ (* (log N) N) (log N))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (cbrt (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* N (log N))) in N * [misc]backup-simplify: Simplify (cbrt (* N (log N))) into (cbrt (* (log N) N)) * [misc]taylor: Taking taylor expansion of (cbrt (* N (log N))) in N * [misc]backup-simplify: Simplify (cbrt (* N (log N))) into (cbrt (* (log N) N)) * [misc]backup-simplify: Simplify (cbrt (* (log N) N)) into (cbrt (* (log N) 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 N) N)) into (cbrt (* (log N) N)) * [misc]approximate: Taking taylor expansion of (cbrt (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ 1 N) (log (/ 1 N)))) in N * [misc]backup-simplify: Simplify (cbrt (* (/ 1 N) (log (/ 1 N)))) into (cbrt (/ (log (/ 1 N)) N)) * [misc]taylor: Taking taylor expansion of (cbrt (* (/ 1 N) (log (/ 1 N)))) in N * [misc]backup-simplify: Simplify (cbrt (* (/ 1 N) (log (/ 1 N)))) into (cbrt (/ (log (/ 1 N)) N)) * [misc]backup-simplify: Simplify (cbrt (/ (log (/ 1 N)) N)) into (cbrt (/ (log (/ 1 N)) 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)) N)) into (cbrt (/ (log (/ 1 N)) N)) * [misc]approximate: Taking taylor expansion of (cbrt (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (cbrt (* (/ 1 (- N)) (log (/ 1 (- N))))) into (cbrt (* -1 (/ (log (/ -1 N)) N))) * [misc]taylor: Taking taylor expansion of (cbrt (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (cbrt (* (/ 1 (- N)) (log (/ 1 (- N))))) into (cbrt (* -1 (/ (log (/ -1 N)) N))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (log (/ -1 N)) N))) into (cbrt (* -1 (/ (log (/ -1 N)) 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 (/ (log (/ -1 N)) N))) into (cbrt (* -1 (/ (log (/ -1 N)) N))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* N (log N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* N (log N)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* N (log N)))) into (* (log N) N) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* N (log N)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* N (log N)))) into (* (log N) N) * [misc]backup-simplify: Simplify (* (log N) N) into (* (log N) 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 (* (log N) N) into (* (log N) N) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 N) (log (/ 1 N))))) into (/ (log (/ 1 N)) N) * [misc]backup-simplify: Simplify (/ (log (/ 1 N)) N) into (/ (log (/ 1 N)) 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 (/ (log (/ 1 N)) N) into (/ (log (/ 1 N)) N) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) into (* -1 (/ (log (/ -1 N)) N)) * [misc]backup-simplify: Simplify (* -1 (/ (log (/ -1 N)) N)) into (* -1 (/ (log (/ -1 N)) 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 (* -1 (/ (log (/ -1 N)) N)) into (* -1 (/ (log (/ -1 N)) N)) * * * [misc]progress: tayloring alt 19 of 22 * [misc]approximate: Taking taylor expansion of (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (* 1 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 (+ (* 1 +nan.0) (* 1/2 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (* +nan.0 (log N))) into (- (* +nan.0 (log N))) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- (* +nan.0 (log N)))) into (- (+ (* +nan.0 (log N)) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log N)) (- +nan.0))) into (- (+ (* +nan.0 (log N)) (- +nan.0))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* 1/2 +nan.0) (* -1/8 0))) into (- +nan.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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (log N)))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- (* +nan.0 (sqr (log N))))) into (- (+ (* +nan.0 (sqr (log N))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- +nan.0))) into (- (+ (* +nan.0 (sqr (log N))) (- +nan.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 (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* 1/2 +nan.0) (+ (* -1/8 +nan.0) (* 1/16 0)))) into (- +nan.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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (log N) 3))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- (* +nan.0 (pow (log N) 3)))) into (- (+ +nan.0 (- (* +nan.0 (pow (log N) 3))))) * [misc]backup-simplify: Simplify (- (+ +nan.0 (- (* +nan.0 (pow (log N) 3))))) into (- (+ +nan.0 (- (* +nan.0 (pow (log N) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (+ +nan.0 (- (* +nan.0 (pow (log N) 3))))) (pow N 3)) (+ (* (- (+ (* +nan.0 (sqr (log N))) (- +nan.0))) (sqr N)) (* (- (+ (* +nan.0 (log N)) (- +nan.0))) N))) into (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (* (log N) N)) (- (+ (* +nan.0 (* (pow (log N) 3) (pow N 3))) (- (* +nan.0 (sqr N))))))))))))) * [misc]approximate: Taking taylor expansion of (- (* (sqrt (+ (/ 1 N) 1)) (sqrt (log (+ (/ 1 N) 1)))) (sqrt (* (/ 1 N) (log (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (+ (/ 1 N) 1)) (sqrt (log (+ (/ 1 N) 1)))) (sqrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 N) 1)) (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (- (* (sqrt (+ (/ 1 N) 1)) (sqrt (log (+ (/ 1 N) 1)))) (sqrt (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 N) 1)) (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify (* 0 (sqrt (- (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 (/ 1/2 (sqrt (- (log N))))) (* +nan.0 (sqrt (- (log N))))) into (- (* +nan.0 (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log N))) into (- (* +nan.0 (log N))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (sqrt (- (log N))))) (- (* +nan.0 (log N)))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (* +nan.0 (log N))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (- (log N)))) (- (* +nan.0 (log N))))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (* +nan.0 (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 (/ (- -1/2 (sqr (/ 1/2 (sqrt (- (log N))))) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N)))))) (+ (* +nan.0 (/ 1/2 (sqrt (- (log N))))) (* +nan.0 (sqrt (- (log N)))))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (* +nan.0 (/ 1 (sqrt (- (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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (log N)))) into (- (* +nan.0 (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (sqrt (- (log N)))) (- (* +nan.0 (/ 1 (sqrt (- (log N)))))))) (- (* +nan.0 (sqr (log N))))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (* +nan.0 (sqr (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (* +nan.0 (sqr (log N)))))))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (/ 1 (sqrt (- (log N)))))))))) * [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 (/ (- 1/3 (+ (* 2 (* (/ 1/2 (sqrt (- (log N)))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N))))))))) (* 2 (sqrt (- (log N))))) into (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (- (log N))) 4))) (+ 1/3 (* 1/4 (/ 1 (sqr (sqrt (- (log N)))))))) (sqrt (- (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 (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (- (log N))) 4))) (+ 1/3 (* 1/4 (/ 1 (sqr (sqrt (- (log N)))))))) (sqrt (- (log N)))))) (+ (* +nan.0 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (sqr (sqrt (- (log N))))))) (sqrt (- (log N)))))) (+ (* +nan.0 (/ 1/2 (sqrt (- (log N))))) (* +nan.0 (sqrt (- (log N))))))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (* +nan.0 (/ 1 (pow (sqrt (- (log N))) 3)))))))) * [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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (log N) 3))) into (- (* +nan.0 (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (* +nan.0 (/ 1 (pow (sqrt (- (log N))) 3)))))))) (- (* +nan.0 (pow (log N) 3)))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (/ 1 (pow (sqrt (- (log N))) 3)))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (/ 1 (pow (sqrt (- (log N))) 3)))))))))) into (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (/ 1 (pow (sqrt (- (log N))) 3)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (/ 1 (sqrt (- (log N))))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (/ 1 (pow (sqrt (- (log N))) 3)))))))))) (sqr (/ 1 N))) (+ (* (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (/ 1 (sqrt (- (log N)))))))))) (/ 1 N)) (- (+ (* +nan.0 (sqrt (- (log N)))) (- (* +nan.0 (log N))))))) into (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ 1 (* (sqrt (- (log N))) N))) (- (+ (* +nan.0 (/ (sqrt (- (log N))) N)) (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqrt (- (log N))) (sqr N))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt (- (log N))) 3) (sqr N)))) (- (* +nan.0 (/ 1 (* (sqrt (- (log N))) (sqr N))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (- (* (sqrt (+ (/ 1 (- N)) 1)) (sqrt (log (+ (/ 1 (- N)) 1)))) (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (+ (/ 1 (- N)) 1)) (sqrt (log (+ (/ 1 (- N)) 1)))) (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- N)) 1)) (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (- (* (sqrt (+ (/ 1 (- N)) 1)) (sqrt (log (+ (/ 1 (- N)) 1)))) (sqrt (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- N)) 1)) (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 0 (sqrt (- (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 (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* +nan.0 (sqrt (- (log -1) (log N))))) into (- (* +nan.0 (sqrt (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (- (log -1) (log N)))) into (- (+ (* +nan.0 (log N)) (- (* +nan.0 (log -1))))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (sqrt (- (log -1) (log N))))) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (log -1)))))) into (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (* +nan.0 (log -1))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (* +nan.0 (log -1))))))) into (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (* +nan.0 (log -1))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N)))))))) (+ (* +nan.0 (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* +nan.0 (sqrt (- (log -1) (log N)))))) into (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (* +nan.0 (sqrt (/ 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 (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1))))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (* (log N) (log -1))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (* (log N) (log -1))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))))))))) into (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (* (log N) (log -1))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ 1/3 (+ (* 1/8 (/ 1 (sqr (- (log -1) (log N))))) (* 1/4 (/ 1 (- (log -1) (log N)))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (+ 1/3 (+ (* 1/8 (/ 1 (sqr (- (log -1) (log N))))) (* 1/4 (/ 1 (- (log -1) (log N)))))) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* +nan.0 (* -1/2 (* (sqrt (/ 1 (- (log -1) (log N)))) (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N)))))))) (+ (* +nan.0 (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* +nan.0 (sqrt (- (log -1) (log N))))))) into (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (- (log -1) (log N)) 3)))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (- (log -1) (log N)) 3)))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))))) (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3)))))))))) into (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (- (log -1) (log N)) 3)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (+ (* +nan.0 (sqrt (/ 1 (- (log -1) (log N))))) (- (* +nan.0 (sqrt (- (log -1) (log N))))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (- (log -1) (log N)) 3)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (+ (* +nan.0 (sqrt (/ 1 (- (log -1) (log N))))) (- (* +nan.0 (sqrt (- (log -1) (log N))))))))))))))))) into (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (- (log -1) (log N)) 3)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (+ (* +nan.0 (sqrt (/ 1 (- (log -1) (log N))))) (- (* +nan.0 (* (log N) (sqr (log -1))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (- (log -1) (log N)) 3)))) (- (+ (* +nan.0 (pow (log -1) 3)) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (+ (* +nan.0 (sqrt (/ 1 (- (log -1) (log N))))) (- (* +nan.0 (* (log N) (sqr (log -1))))))))))))))))) (sqr (/ 1 (- N)))) (+ (* (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (* (log N) (log -1))) (- (* +nan.0 (sqrt (/ 1 (- (log -1) (log N)))))))))))))) (/ 1 (- N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (* +nan.0 (log -1))))))))) into (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (* (/ 1 N) (sqrt (/ 1 (- (log -1) (log N)))))) (- (+ (* +nan.0 (* (/ 1 (sqr N)) (sqrt (/ 1 (pow (- (log -1) (log N)) 3))))) (- (+ (* +nan.0 (* (/ 1 (sqr N)) (sqrt (- (log -1) (log N))))) (- (+ (* +nan.0 (* (/ 1 N) (sqrt (- (log -1) (log N))))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (* (/ 1 (sqr N)) (sqrt (/ 1 (- (log -1) (log N)))))) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (sqrt (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqrt (* 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 (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (log N) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (log N)) into (* +nan.0 (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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (log N))) into (* +nan.0 (sqr (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 (+ (* (- -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 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (log N) 3)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow (log N) 3)) (pow N 3)) (+ (* (* +nan.0 (sqr (log N))) (sqr N)) (* (* +nan.0 (log N)) N))) into (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (* (log N) N)) (- (* +nan.0 (* (pow (log N) 3) (pow N 3)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (log N)) (* 2 (sqrt 0))) into (* +nan.0 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (log N)) into (* +nan.0 (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 (sqr (* +nan.0 (log N))) (+)) (* 2 0)) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (log N))) into (* +nan.0 (sqr (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (log N)) (* +nan.0 (sqr (log N))))))) (* 2 0)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (log N) 3)) into (* +nan.0 (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow (log N) 3)) (sqr (/ 1 N))) (+ (* (* +nan.0 (sqr (log N))) (/ 1 N)) (* +nan.0 (log N)))) into (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (/ (pow (log N) 3) (sqr N)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (sqrt (* (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (- (log -1) (log N))) (* 2 (sqrt 0))) into (* +nan.0 (- (log -1) (log N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (- (log -1) (log N))) into (* +nan.0 (- (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 (sqr (* +nan.0 (- (log -1) (log N)))) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) into (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (+ (* 2 (* (* +nan.0 (- (log -1) (log N))) (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) into (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (* (log N) (sqr (log -1)))) (- (+ (* +nan.0 (* (sqr (log N)) (log -1))) (- (+ (* +nan.0 (pow (log N) 3)) (- (* +nan.0 (pow (log -1) 3))))))))) (sqr (/ 1 (- N)))) (+ (* (* +nan.0 (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (* (log N) (log -1)))))))) (/ 1 (- N))) (* +nan.0 (- (log -1) (log N))))) into (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (log -1)) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))) * * * [misc]progress: tayloring alt 20 of 22 * [misc]approximate: Taking taylor expansion of (- (* (+ N 1) (exp (log (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (exp (log (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (exp (log (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 (exp (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (exp (log (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (exp (log (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 (exp (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 N) into 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) into 0 * [misc]backup-simplify: Simplify (+ N 0) into N * [misc]backup-simplify: Simplify N into N * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow -1/2 1) 1)))) into (* -1/2 N) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/2 N)) (* 1 N)) into (* 1/2 N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/2 N) (- (log N))) into (- (* 1/2 N) (log N)) * [misc]backup-simplify: Simplify (- (* 1/2 N) (log N)) into (- (* 1/2 N) (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow -1/2 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/3 N)) (+ (* 1 (* -1/2 N)) (* 0 N))) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/6 N)) 0) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (- (* 1/6 N)) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 N)) (sqr N)) (+ (* (- (* 1/2 N) (log N)) N) N)) into (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (exp (log (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (exp (log (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (exp (log (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 (exp (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (exp (log (- (log N)))) into (- (log N)) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (exp (log (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (exp (log (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 (exp (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (exp (log (- (log N)))) into (- (log 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 0) into 1 * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (* (exp (log (- (log N)))) (+ (* (/ (pow (/ -1 (log N)) 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 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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) * [misc]backup-simplify: Simplify (* (exp (log (- (log N)))) (+ (* (/ (pow (/ -1 (log N)) 2) 2)) (* (/ (pow (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) 1) 1)))) 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 -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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 -1/2) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 1/3) 1)) (pow (- (log N)) 1)))) 6) into (* 1/6 (- (* 3 (/ 1 (sqr (log N)))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (* (exp (log (- (log N)))) (+ (* (/ (pow (/ -1 (log N)) 3) 6)) (* (/ (pow (/ -1 (log N)) 1) 1) (/ (pow (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) 1) 1)) (* (/ (pow (* 1/6 (- (* 3 (/ 1 (sqr (log N)))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N)))))) 1) 1)))) 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 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 N))) (+ (* 1/2 (/ 1 N)) (- 1 (log N)))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (exp (log (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (exp (log (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (exp (log (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 (exp (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (log (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (exp (log (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (exp (log (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 (exp (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (log (- (log -1) (log N)))) into (- (log -1) (log 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 0) into -1 * [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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* (exp (log (- (log -1) (log N)))) (+ (* (/ (pow (/ -1 (- (log -1) (log N))) 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 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (log (- (log -1) (log N)))) (+ (* (/ (pow (/ -1 (- (log -1) (log N))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) 1) 1)))) 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 -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ 1 (sqr (- (log -1) (log N))))) (* 2 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (log -1) (log N)))) (+ (* (/ (pow (/ -1 (- (log -1) (log N))) 3) 6)) (* (/ (pow (/ -1 (- (log -1) (log N))) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) 1) 1)) (* (/ (pow (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ 1 (sqr (- (log -1) (log N))))) (* 2 (/ 1 (- (log -1) (log N))))))) 1) 1)))) 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 -1/3) (+ (* 1 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (exp (log (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into N * [misc]taylor: Taking taylor expansion of (exp (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (exp (log N)) into N * [misc]backup-simplify: Simplify N into N * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow -1/2 1) 1)))) into (* -1/2 N) * [misc]backup-simplify: Simplify (* -1/2 N) into (* -1/2 N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (* (exp (log N)) (+ (* (/ (pow -1/2 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 N) * [misc]backup-simplify: Simplify (* 1/3 N) into (* 1/3 N) * [misc]backup-simplify: Simplify (+ (* (* 1/3 N) (sqr N)) (+ (* (* -1/2 N) N) N)) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (exp (log (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (exp (log (- (log N)))) into (- (log N)) * [misc]taylor: Taking taylor expansion of (exp (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (exp (log (- (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (* (exp (log (- (log N)))) (+ (* (/ (pow (/ -1 (log N)) 1) 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) * [misc]backup-simplify: Simplify (* (exp (log (- (log N)))) (+ (* (/ (pow (/ -1 (log N)) 2) 2)) (* (/ (pow (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (exp (log (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (log (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]taylor: Taking taylor expansion of (exp (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (log (- (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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* (exp (log (- (log -1) (log N)))) (+ (* (/ (pow (/ -1 (- (log -1) (log N))) 1) 1)))) into -1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (log (- (log -1) (log N)))) (+ (* (/ (pow (/ -1 (- (log -1) (log N))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [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 (* N (- (log -1) (log N))) * * * [misc]progress: tayloring alt 21 of 22 * [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) (+ (* 1/6 (pow N 3)) (* (log N) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (* -1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1 (log N)) 0) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 N))) (+ (* 1/2 (/ 1 N)) (- 1 (log N)))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (- (log -1) (log N))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/3) (+ (* 1 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (exp (log (- (* (+ N 1) (log (+ N 1))) (* N (log N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (- (* (+ N 1) (log (+ N 1))) (* N (log N))))) in N * [misc]taylor: Taking taylor expansion of (log (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 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]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 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 (log (- 1 (log N))) into (log (- 1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (- 1 (log N)))) into (+ (log (- 1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (- 1 (log N)))) into (+ (log (- 1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (+ (log (- 1 (log N))) (log N))) into (exp (+ (log (- 1 (log N))) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log (- (* (+ N 1) (log (+ N 1))) (* N (log N))))) in N * [misc]taylor: Taking taylor expansion of (log (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 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]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 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 (log (- 1 (log N))) into (log (- 1 (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (- 1 (log N)))) into (+ (log (- 1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (- 1 (log N)))) into (+ (log (- 1 (log N))) (log N)) * [misc]backup-simplify: Simplify (exp (+ (log (- 1 (log N))) (log N))) into (exp (+ (log (- 1 (log N))) (log N))) * [misc]backup-simplify: Simplify (exp (+ (log (- 1 (log N))) (log N))) into (exp (+ (log (- 1 (log N))) (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (- 1 (log N)))) into (+ (log (- 1 (log N))) (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 (/ (* (pow (* 1 1/2) 1)) (pow (- 1 (log N)) 1)))) 1) into (/ 1/2 (- 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (+ (log (- 1 (log N))) (log N))) (+ (* (/ (pow (/ 1/2 (- 1 (log N))) 1) 1)))) into (* 1/2 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) into (* 1/2 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (- 1 (log N)))) into (+ (log (- 1 (log N))) (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 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 (/ (* (pow (* 1 1/2) 2)) (pow (- 1 (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow (- 1 (log N)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ 1 (sqr (- 1 (log N))))) (* 1/3 (/ 1 (- 1 (log N)))))) * [misc]backup-simplify: Simplify (* (exp (+ (log (- 1 (log N))) (log N))) (+ (* (/ (pow (/ 1/2 (- 1 (log N))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1/4 (/ 1 (sqr (- 1 (log N))))) (* 1/3 (/ 1 (- 1 (log N)))))) 1) 1)))) into (* -1/6 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) * [misc]backup-simplify: Simplify (* -1/6 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) into (* -1/6 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) * [misc]backup-simplify: Simplify (+ (* (* -1/6 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) (sqr N)) (+ (* (* 1/2 (/ (exp (+ (log (- 1 (log N))) (log N))) (- 1 (log N)))) N) (exp (+ (log (- 1 (log N))) (log N))))) into (- (+ (exp (+ (log (- 1 (log N))) (log N))) (* 1/2 (/ (* (exp (+ (log (- 1 (log N))) (log N))) N) (- 1 (log N))))) (* 1/6 (/ (* (exp (+ (log (- 1 (log N))) (log N))) (sqr N)) (- 1 (log N))))) * [misc]approximate: Taking taylor expansion of (exp (log (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (log (- (* (+ (/ 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))) (* (/ 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 (- (+ (* 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 (log (- 1 (log N))) into (log (- 1 (log N))) * [misc]backup-simplify: Simplify (exp (log (- 1 (log N)))) into (- 1 (log N)) * [misc]taylor: Taking taylor expansion of (exp (log (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (log (- (* (+ (/ 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))) (* (/ 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 (- (+ (* 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 (log (- 1 (log N))) into (log (- 1 (log N))) * [misc]backup-simplify: Simplify (exp (log (- 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 (/ 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 (/ (* (pow (* 1 1/2) 1)) (pow (- 1 (log N)) 1)))) 1) into (/ 1/2 (- 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (log N)))) (+ (* (/ (pow (/ 1/2 (- 1 (log N))) 1) 1)))) 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 (/ (* (pow (* 1 1/2) 2)) (pow (- 1 (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow (- 1 (log N)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ 1 (sqr (- 1 (log N))))) (* 1/3 (/ 1 (- 1 (log N)))))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (log N)))) (+ (* (/ (pow (/ 1/2 (- 1 (log N))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1/4 (/ 1 (sqr (- 1 (log N))))) (* 1/3 (/ 1 (- 1 (log N)))))) 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 N))) (+ (* 1/2 (/ 1 N)) (- 1 (log N)))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (exp (log (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (log (- (* (+ (/ 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))) (* (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log -1)) (log N))) into (log (- (+ 1 (log -1)) (log N))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]taylor: Taking taylor expansion of (exp (log (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (log (- (* (+ (/ 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))) (* (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log -1)) (log N))) into (log (- (+ 1 (log -1)) (log N))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (/ (* (pow (* 1 -1/2) 1)) (pow (- (+ 1 (log -1)) (log N)) 1)))) 1) into (/ -1/2 (- (+ 1 (log -1)) (log N))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log -1)) (log N)))) (+ (* (/ (pow (/ -1/2 (- (+ 1 (log -1)) (log N))) 1) 1)))) 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 (/ (* (pow (* 1 -1/2) 2)) (pow (- (+ 1 (log -1)) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow (- (+ 1 (log -1)) (log N)) 1)))) 2) into (* -1/2 (+ (* 1/3 (/ 1 (- (+ 1 (log -1)) (log N)))) (* 1/4 (/ 1 (sqr (- (+ 1 (log -1)) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log -1)) (log N)))) (+ (* (/ (pow (/ -1/2 (- (+ 1 (log -1)) (log N))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1/3 (/ 1 (- (+ 1 (log -1)) (log N)))) (* 1/4 (/ 1 (sqr (- (+ 1 (log -1)) (log N))))))) 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [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 (* N (- (log -1) (log N))) * * * [misc]progress: tayloring alt 22 of 22 * [misc]approximate: Taking taylor expansion of (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) into (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) into (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) * [misc]backup-simplify: Simplify (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) into (cbrt (* (cube (+ 1 N)) (cube (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 (* (cube (+ 1 N)) (cube (log (+ 1 N))))) into (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (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 (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 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 (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (- (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) into (cbrt (* (cube (+ 1 N)) (cube (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 (- (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ N 1)) (cube (log (+ N 1))))) into (cbrt (* (cube (+ 1 N)) (cube (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 (+ (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) 0) into (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) * [misc]backup-simplify: Simplify (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) into (cbrt (* (cube (+ 1 N)) (cube (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) (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N)))))) into (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 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]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 (- (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 N) 1)) (cube (log (+ (/ 1 N) 1))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 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]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 (+ (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) 0) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) into (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (* (log N) (/ 1 (/ 1 N)))) into (+ (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (* (log N) N)) * [misc]approximate: Taking taylor expansion of (- (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 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 (- (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cbrt (* (cube (+ (/ 1 (- N)) 1)) (cube (log (+ (/ 1 (- N)) 1))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 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 (+ (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) 0) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) into (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 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 (+ (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N))))) into (- (+ (* (log N) N) (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N)))))) (* (log -1) N)) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (cube (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (log (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ N 1))) into (cube (log (+ 1 N))) * [misc]taylor: Taking taylor expansion of (cube (log (+ N 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ N 1))) into (cube (log (+ 1 N))) * [misc]backup-simplify: Simplify (cube (log (+ 1 N))) into (cube (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 (log (+ 1 N))) into (cube (log (+ 1 N))) * [misc]approximate: Taking taylor expansion of (cube (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 N) 1))) into (cube (log (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 N) 1))) into (cube (log (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cube (log (+ 1 (/ 1 N)))) into (cube (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 (log (+ 1 (/ 1 N)))) into (cube (log (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (cube (log (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 (- N)) 1))) into (cube (log (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cube (log (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cube (log (+ (/ 1 (- N)) 1))) into (cube (log (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cube (log (- 1 (/ 1 N)))) into (cube (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 (log (- 1 (/ 1 N)))) into (cube (log (- 1 (/ 1 N)))) * * * [misc]progress: simplifying alt 1 of 264 * [enter]simplify: Simplifying (- (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 2 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N))))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (+ (* (log N) N) (+ (/ (log (+ (/ 1 N) 1)) N) (- (log (+ (/ 1 N) 1)) 1))) * [misc]none: prog is (λ (N) (+ (* (log N) N) (+ (/ (log (+ (/ 1 N) 1)) N) (- (log (+ (/ 1 N) 1)) 1)))) * * * [misc]progress: simplifying alt 3 of 264 * [enter]simplify: Simplifying (- (- (+ (* (log N) N) (log (- 1 (/ 1 N)))) (+ (/ (log (- 1 (/ 1 N))) N) (* (log -1) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (- (+ (log (- 1 (/ 1 N))) (- (* (log N) N) (* N (log -1)))) (/ (log (- 1 (/ 1 N))) N)) 1) * [misc]none: prog is (λ (N) (- (- (+ (log (- 1 (/ 1 N))) (- (* (log N) N) (* N (log -1)))) (/ (log (- 1 (/ 1 N))) N)) 1)) * * * [misc]progress: simplifying alt 4 of 264 * [enter]simplify: Simplifying (- (- (cube (cbrt (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 5 of 264 * [enter]simplify: Simplifying (- (- (cube (cbrt (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 6 of 264 * [enter]simplify: Simplifying (- (- (cube (cbrt (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ (/ 1/2 N) N)) (log N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ (/ 1/2 N) N)) (log N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 7 of 264 * [enter]simplify: Simplifying (- (- (cube (cbrt (* (+ 1 N) (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 8 of 264 * [enter]simplify: Simplifying (- (- (cube (cbrt (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 9 of 264 * [enter]simplify: Simplifying (- (- (cube (cbrt (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 10 of 264 * [enter]simplify: Simplifying (- (- (* (+ 1 N) (log (+ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 N)) (+ 1 N)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 11 of 264 * [enter]simplify: Simplifying (- (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 12 of 264 * [enter]simplify: Simplifying (- (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 13 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (- (- N (* N (log N))) (+ (* (cube N) 1/6) 1)) (* (* N N) 1/2)) * [misc]none: prog is (λ (N) (+ (- (- N (* N (log N))) (+ (* (cube N) 1/6) 1)) (* (* N N) 1/2))) * * * [misc]progress: simplifying alt 14 of 264 * [enter]simplify: Simplifying (- (- (+ (* (log N) N) (+ (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) N))) (/ (exp (- (log (* -1 (log N))) (log N))) (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (* (log N) N) (- (+ (/ (- (log N)) (sqr N)) (/ (- (log N)) N)) (+ 1 (/ (- (log N)) (* (log N) (sqr N)))))) * [misc]none: prog is (λ (N) (+ (* (log N) N) (- (+ (/ (- (log N)) (sqr N)) (/ (- (log N)) N)) (+ 1 (/ (- (log N)) (* (log N) (sqr N))))))) * * * [misc]progress: simplifying alt 15 of 264 * [enter]simplify: Simplifying (- (- (+ (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (* (- (log -1) (log N)) N)) (+ (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* N (- (log -1) (log N)))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* (log N) N)))) (+ (* (log -1) N) (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (* N (- (log -1) (log N)))))) 1) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (log -1) (- (log -1) (log N))) (/ (- (- (log -1) (log N))) (* N N))) (+ (+ (/ (- (- (log -1) (log N))) (* (- (log -1) (log N)) (* N N))) (* N (log N))) (/ (- (- (log -1) (log N))) N))) (+ (* (/ (log N) N) (/ (- (- (log -1) (log N))) (* (- (log -1) (log N)) N))) (+ (* (log -1) N) 1))) * [misc]none: prog is (λ (N) (- (+ (* (/ (log -1) (- (log -1) (log N))) (/ (- (- (log -1) (log N))) (* N N))) (+ (+ (/ (- (- (log -1) (log N))) (* (- (log -1) (log N)) (* N N))) (* N (log N))) (/ (- (- (log -1) (log N))) N))) (+ (* (/ (log N) N) (/ (- (- (log -1) (log N))) (* (- (log -1) (log N)) N))) (+ (* (log -1) N) 1)))) * * * [misc]progress: simplifying alt 16 of 264 * [enter]simplify: Simplifying (- (- (exp (log (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 17 of 264 * [enter]simplify: Simplifying (- (- (exp (log (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 18 of 264 * [enter]simplify: Simplifying (- (- (exp (log (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 19 of 264 * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (+ N (* (* N N) 1/2)) (+ (+ (* (cube N) 1/6) (* (log N) N)) 1)) * [misc]none: prog is (λ (N) (- (+ N (* (* N N) 1/2)) (+ (+ (* (cube N) 1/6) (* (log N) N)) 1))) * * * [misc]progress: simplifying alt 20 of 264 * [enter]simplify: Simplifying (- (- (- (+ (exp (- (log (* -1 (log N))) (log N))) (/ (exp (- (log (* -1 (log N))) (log N))) N)) (+ (* 1/2 (/ (exp (- (log (* -1 (log N))) (log N))) (* (log N) (sqr N)))) (/ (exp (- (log (* -1 (log N))) (log N))) (* (log N) N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (- (log N)) (* N N)) (/ (- (log N)) (* (log N) (* N N)))) (* (/ 1/2 (* N N)) (/ (- (log N)) (* (log N) N)))) (- (/ (- (log N)) N) (+ 1 (* N (log N))))) * [misc]none: prog is (λ (N) (+ (- (- (/ (- (log N)) (* N N)) (/ (- (log N)) (* (log N) (* N N)))) (* (/ 1/2 (* N N)) (/ (- (log N)) (* (log N) N)))) (- (/ (- (log N)) N) (+ 1 (* N (log N)))))) * * * [misc]progress: simplifying alt 21 of 264 * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* (sqr N) (- (log -1) (log N))))) (+ (/ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (* N (- (log -1) (log N)))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (/ (* (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (log -1)) (* N (- (log -1) (log N))))))) (/ (* (log N) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) (* N (- (log -1) (log N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (- (- (+ (+ (* (/ (* -1 (- (log -1) (log N))) (* N N)) (/ (log -1) (- (log -1) (log N)))) (/ (* -1 (- (log -1) (log N))) N)) (+ (* (/ 1/2 (* N (- (log -1) (log N)))) (/ (* -1 (- (log -1) (log N))) (* N N))) (/ (* -1 (- (log -1) (log N))) (* (- (log -1) (log N)) (* N N))))) (+ (* (/ (log N) N) (/ (* -1 (- (log -1) (log N))) (* (- (log -1) (log N)) N))) (* (log N) N))) 1) * [misc]none: prog is (λ (N) (- (- (+ (+ (* (/ (* -1 (- (log -1) (log N))) (* N N)) (/ (log -1) (- (log -1) (log N)))) (/ (* -1 (- (log -1) (log N))) N)) (+ (* (/ 1/2 (* N (- (log -1) (log N)))) (/ (* -1 (- (log -1) (log N))) (* N N))) (/ (* -1 (- (log -1) (log N))) (* (- (log -1) (log N)) (* N N))))) (+ (* (/ (log N) N) (/ (* -1 (- (log -1) (log N))) (* (- (log -1) (log N)) N))) (* (log N) N))) 1)) * * * [misc]progress: simplifying alt 22 of 264 * [enter]simplify: Simplifying (- (- (exp (- (+ (log N) (* 1/2 N)) (* 7/24 (sqr N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (exp (- (+ (log N) (* 1/2 N)) (* (sqr N) 7/24))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (exp (- (+ (log N) (* 1/2 N)) (* (sqr N) 7/24))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 23 of 264 * [enter]simplify: Simplifying (- (- (exp (- (+ (log (* -1 (log N))) (+ (* 1/2 (/ 1 (* (log N) (sqr N)))) (/ 1 N))) (+ (/ 1 (* (log N) N)) (+ (* 1/2 (/ 1 (* (sqr (log N)) (sqr N)))) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (/ (* (- (log N)) (exp (+ (/ 1/2 (* (* N N) (log N))) (/ 1 N)))) (exp (+ (+ (/ 1 (* N (log N))) (+ (log N) (/ 1/2 (* N N)))) (/ 1/2 (* (* (* N N) (log N)) (log N)))))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (/ (* (- (log N)) (exp (+ (/ 1/2 (* (* N N) (log N))) (/ 1 N)))) (exp (+ (+ (/ 1 (* N (log N))) (+ (log N) (/ 1/2 (* N N)))) (/ 1/2 (* (* (* N N) (log N)) (log N)))))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 24 of 264 * [enter]simplify: Simplifying (- (- (exp (- (+ (/ (log -1) (* N (- (log -1) (log N)))) (+ (/ 1 (* N (- (log -1) (log N)))) (+ (/ (log N) (* (sqr N) (sqr (- (log -1) (log N))))) (+ (* 1/2 (/ 1 (* (sqr N) (- (log -1) (log N))))) (+ (/ (* (log N) (log -1)) (* (sqr (- (log -1) (log N))) (sqr N))) (log (* -1 (- (log -1) (log N))))))))) (+ (/ (log -1) (* (sqr (- (log -1) (log N))) (sqr N))) (+ (* 1/2 (/ 1 (* (sqr N) (sqr (- (log -1) (log N)))))) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (log -1) (log N))) (sqr N)))) (+ (log N) (+ (/ (log N) (* N (- (log -1) (log N)))) (* 1/2 (/ (sqr (log N)) (* (sqr N) (sqr (- (log -1) (log N))))))))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (- (exp (- (+ (+ (/ (/ (log -1) N) (- (log -1) (log N))) (/ (/ 1 N) (- (log -1) (log N)))) (+ (+ (log (* -1 (- (log -1) (log N)))) (/ (* (/ (log -1) (* N N)) (log N)) (* (- (log -1) (log N)) (- (log -1) (log N))))) (+ (/ (/ (log N) (* N N)) (* (- (log -1) (log N)) (- (log -1) (log N)))) (/ 1/2 (* (* N N) (- (log -1) (log N))))))) (+ (+ (+ (/ (/ (log N) N) (- (log -1) (log N))) (log N)) (* (* (/ (/ (log N) N) (- (log -1) (log N))) (/ (/ (log N) N) (- (log -1) (log N)))) 1/2)) (+ (/ (/ (log -1) (- (log -1) (log N))) (* (* N N) (- (log -1) (log N)))) (* (/ (/ 1/2 (- (log -1) (log N))) (- (log -1) (log N))) (+ (/ (/ 1 N) N) (* (/ (log -1) N) (/ (log -1) N)))))))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (exp (- (+ (+ (/ (/ (log -1) N) (- (log -1) (log N))) (/ (/ 1 N) (- (log -1) (log N)))) (+ (+ (log (* -1 (- (log -1) (log N)))) (/ (* (/ (log -1) (* N N)) (log N)) (* (- (log -1) (log N)) (- (log -1) (log N))))) (+ (/ (/ (log N) (* N N)) (* (- (log -1) (log N)) (- (log -1) (log N)))) (/ 1/2 (* (* N N) (- (log -1) (log N))))))) (+ (+ (+ (/ (/ (log N) N) (- (log -1) (log N))) (log N)) (* (* (/ (/ (log N) N) (- (log -1) (log N))) (/ (/ (log N) N) (- (log -1) (log N)))) 1/2)) (+ (/ (/ (log -1) (- (log -1) (log N))) (* (* N N) (- (log -1) (log N)))) (* (/ (/ 1/2 (- (log -1) (log N))) (- (log -1) (log N))) (+ (/ (/ 1 N) N) (* (/ (log -1) N) (/ (log -1) N)))))))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 25 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 26 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (/ (log (/ 1 N)) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (- (/ (log N) N))) 1) * [misc]none: prog is (λ (N) (- (- (* (log (+ N 1)) (+ N 1)) (- (/ (log N) N))) 1)) * * * [misc]progress: simplifying alt 27 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* -1 (/ (log (/ -1 N)) N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ 1 (/ (log (/ -1 N)) (/ N -1)))) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ 1 (/ (log (/ -1 N)) (/ N -1))))) * * * [misc]progress: simplifying alt 28 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (+ N (* (* N N) 1/2)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (+ N (* (* N N) 1/2)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 29 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (+ (/ (log (/ 1 N)) N) (* (log N) N)))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1/2 N) 1) (log N)) (+ (- (/ (log N) N)) (+ 1 (* N (log N))))) * [misc]none: prog is (λ (N) (- (- (+ (/ 1/2 N) 1) (log N)) (+ (- (/ (log N) N)) (+ 1 (* N (log N)))))) * * * [misc]progress: simplifying alt 30 of 264 * [enter]simplify: Simplifying (- (- (+ (/ (log (/ -1 N)) N) (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1))))) (+ (* (log N) N) (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (+ (/ (log (/ -1 N)) N) (+ (log -1) (+ (+ 1 (/ 1/2 N)) (* (log -1) N)))) (+ (* N (log N)) (+ (log N) 1))) * [misc]none: prog is (λ (N) (- (+ (/ (log (/ -1 N)) N) (+ (log -1) (+ (+ 1 (/ 1/2 N)) (* (log -1) N)))) (+ (* N (log N)) (+ (log N) 1)))) * * * [misc]progress: simplifying alt 31 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (cbrt (cube (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* (+ (* 1/3 (cube N)) (- N (* 1/2 (sqr N)))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ (* 1/3 (cube N)) (- N (* 1/2 (sqr N)))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 32 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (cbrt (cube (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 33 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (cbrt (cube (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (/ (/ 1/2 N) N)) (- (log N) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (/ (/ 1/2 N) N)) (- (log N) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 34 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (cbrt (cube (* (log N) N)))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 35 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (cbrt (cube (* -1 (* (log N) N))))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1))) * * * [misc]progress: simplifying alt 36 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (cbrt (cube (* N (- (log -1) (log N)))))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (- (log -1) (log N))) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* N (- (log -1) (log N))) 1))) * * * [misc]progress: simplifying alt 37 of 264 * [enter]simplify: Simplifying (- (- (+ (* +nan.0 (pow N 3)) (- (* (log N) N) (* +nan.0 (sqr N))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 38 of 264 * [enter]simplify: Simplifying (- (+ (sqr (sqrt (- (log N)))) (+ 1 (+ (* 1/2 (/ 1 N)) (+ (* (log N) N) (* (sqr (sqrt (- (log N)))) N))))) 1) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (+ (+ (- (log N)) (+ (/ 1/2 N) 1)) (+ (* (log N) N) (* (log N) (- N)))) 1) * [misc]none: prog is (λ (N) (- (+ (+ (- (log N)) (+ (/ 1/2 N) 1)) (+ (* (log N) N) (* (log N) (- N)))) 1)) * * * [misc]progress: simplifying alt 39 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1))) * * * [misc]progress: simplifying alt 40 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (sqr (sqrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N)))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N)))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 41 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (sqr (sqrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 42 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (sqr (sqrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (+ (- (- (log -1) (log N)) (/ (/ 1/2 N) N)) (/ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (+ (- (- (log -1) (log N)) (/ (/ 1/2 N) N)) (/ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 43 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* +nan.0 (pow N 4)) (- (+ (* +nan.0 (pow N 3)) (- (* +nan.0 (sqr N)))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 44 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (sqr (sqrt (- (log N)))) (/ 1 N)) (* 1/2 (/ 1 (sqr N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (+ (/ 1 N) (- (- (log N)) (/ 1/2 (sqr N))))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (+ (/ 1 N) (- (- (log N)) (/ 1/2 (sqr N))))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 45 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ 1/2 (sqr N))) (log N))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ 1/2 (sqr N))) (log N))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 46 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (sqr (sqrt (log (+ N 1))))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 47 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (sqr (sqrt (log (+ N 1))))) (* -1 (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (- N) (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (- N) (log N)) 1))) * * * [misc]progress: simplifying alt 48 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (sqr (sqrt (log (+ N 1))))) (* N (- (log -1) (log N)))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (- (log -1) (log N))) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (- (log -1) (log N))) 1))) * * * [misc]progress: simplifying alt 49 of 264 * [enter]simplify: Simplifying (- (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 50 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (+ (* N (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N))))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* N (+ (log (+ (/ 1 N) 1)) (log N))) (- (log (+ (/ 1 N) 1)) 1)) * [misc]none: prog is (λ (N) (+ (* N (+ (log (+ (/ 1 N) 1)) (log N))) (- (log (+ (/ 1 N) 1)) 1))) * * * [misc]progress: simplifying alt 51 of 264 * [enter]simplify: Simplifying (- (- (+ (* (log (- 1 (/ 1 N))) N) (+ (* (log N) N) (log (- 1 (/ 1 N))))) (* (log -1) N)) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (+ (* (+ (log (- 1 (/ 1 N))) (log N)) N) (- (log (- 1 (/ 1 N))) (+ (* N (log -1)) 1))) * [misc]none: prog is (λ (N) (+ (* (+ (log (- 1 (/ 1 N))) (log N)) N) (- (log (- 1 (/ 1 N))) (+ (* N (log -1)) 1)))) * * * [misc]progress: simplifying alt 52 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cbrt (cube (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* (* N 1/2) N))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* (* N 1/2) N))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 53 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cbrt (cube (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 54 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cbrt (cube (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ 1/2 (sqr N)) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ 1/2 (sqr N)) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 55 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 56 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ 1 (/ 1 N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 57 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (- 1 (/ 1 N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 58 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cbrt (cube (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 59 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cbrt (cube (log (+ 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 60 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cbrt (cube (log (- 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 61 of 264 * [enter]simplify: Simplifying (- (- (+ (* +nan.0 (pow N 3)) (- (* (log N) N) (* +nan.0 (sqr N))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 62 of 264 * [enter]simplify: Simplifying (- (- (* (log N) N) (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (log N) N)) (- (* +nan.0 (/ (pow (log N) 3) N))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 63 of 264 * [enter]simplify: Simplifying (- (- (* (log N) N) (+ (* +nan.0 (/ (sqr (log N)) N)) (- (* (log -1) N) (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (log -1) N)) (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (sqr (log -1))) (- (* +nan.0 (/ (log N) N))))))))))))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 64 of 264 * [enter]simplify: Simplifying (- (- (sqr (sqrt (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* N (* N 1/2))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* N (* N 1/2))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 65 of 264 * [enter]simplify: Simplifying (- (- (sqr (sqrt (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 66 of 264 * [enter]simplify: Simplifying (- (- (sqr (sqrt (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 67 of 264 * [enter]simplify: Simplifying (- (- (sqr (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (sqr N)) (- (* +nan.0 N))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 68 of 264 * [enter]simplify: Simplifying (- (- (sqr (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (sqr N))))))))))))))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 69 of 264 * [enter]simplify: Simplifying (- (- (sqr (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (/ (log -1) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) (sqr N))) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (/ 1 (sqr N))) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (log -1) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N))))))))))))))))))))))))))))))))))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 70 of 264 * [enter]simplify: Simplifying (- (- (- (+ (* +nan.0 (pow N 4)) (- (+ (* +nan.0 (pow N 3)) (- (* +nan.0 (sqr N))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 71 of 264 * [enter]simplify: Simplifying (- (- (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (* +nan.0 (/ 1 (sqr N)))))))))))))))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 72 of 264 * [enter]simplify: Simplifying (- (- (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (log -1) N)) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (+ (* +nan.0 (/ 1 (sqr N))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (log -1) (sqr N))) (- (+ (* +nan.0 (/ (pow (log -1) 4) (sqr N))) (- (+ (* +nan.0 (/ (log N) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (* (log N) (pow (log -1) 3)) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (sqr (log -1))) (- (+ (* +nan.0 (/ (sqr (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (log N) (sqr N))) (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (sqr (log -1))) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (* (pow (log N) 3) (log -1)) (sqr N))) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))))))))))))))))))))))))))))))))))))))) (* N (log N))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 73 of 264 * [enter]simplify: Simplifying (- (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 74 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (+ (* N (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N))))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* N (+ (log (+ (/ 1 N) 1)) (log N))) (- (log (+ (/ 1 N) 1)) 1)) * [misc]none: prog is (λ (N) (+ (* N (+ (log (+ (/ 1 N) 1)) (log N))) (- (log (+ (/ 1 N) 1)) 1))) * * * [misc]progress: simplifying alt 75 of 264 * [enter]simplify: Simplifying (- (- (+ (* (log (- 1 (/ 1 N))) N) (+ (* (log N) N) (log (- 1 (/ 1 N))))) (* (log -1) N)) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (+ (* (+ (log (- 1 (/ 1 N))) (log N)) N) (- (log (- 1 (/ 1 N))) (+ (* N (log -1)) 1))) * [misc]none: prog is (λ (N) (+ (* (+ (log (- 1 (/ 1 N))) (log N)) N) (- (log (- 1 (/ 1 N))) (+ (* N (log -1)) 1)))) * * * [misc]progress: simplifying alt 76 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cube (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N)))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N)))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 77 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cube (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 78 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cube (cbrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 79 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 80 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ 1 (/ 1 N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 81 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (- 1 (/ 1 N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 82 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cube (cbrt (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 83 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cube (cbrt (log (+ 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 84 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (cube (cbrt (log (- 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 85 of 264 * [enter]simplify: Simplifying (- (- (* (pow (cbrt (log (+ 1 N))) 3) (pow (cbrt (+ 1 N)) 3)) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 86 of 264 * [enter]simplify: Simplifying (- (+ (* (pow (cbrt (log (+ 1 (/ 1 N)))) 3) (pow (cbrt (+ 1 (/ 1 N))) 3)) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (+ (- (* N (log N)) 1) (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) * [misc]none: prog is (λ (N) (+ (- (* N (log N)) 1) (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))))) * * * [misc]progress: simplifying alt 87 of 264 * [enter]simplify: Simplifying (- (- (+ (* (pow (cbrt (log (- 1 (/ 1 N)))) 3) (pow (cbrt (- 1 (/ 1 N))) 3)) (* (log N) N)) (* (log -1) N)) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (- (* N (- (log N) (log -1))) 1)) * [misc]none: prog is (λ (N) (+ (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (- (* N (- (log N) (log -1))) 1))) * * * [misc]progress: simplifying alt 88 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (+ N 1)) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (+ N (* (* 1/3 N) (sqr N))) (* N (* 1/2 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (+ N (* (* 1/3 N) (sqr N))) (* N (* 1/2 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 89 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (+ N 1)) (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 90 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (+ N 1)) (cbrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (+ (- (/ 1 N) (log N)) (log -1)) (/ (/ 1/2 N) N))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (+ (- (/ 1 N) (log N)) (log -1)) (/ (/ 1/2 N) N))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 91 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 N)) (+ 1 N)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 92 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 93 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 94 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (+ N 1)) (cbrt (log (+ 1 N)))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 95 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (+ N 1)) (cbrt (log (+ 1 (/ 1 N))))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ (/ 1 N) 1))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ (/ 1 N) 1))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 96 of 264 * [enter]simplify: Simplifying (- (- (pow (* (cbrt (+ N 1)) (cbrt (log (- 1 (/ 1 N))))) 3) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 97 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (exp (+ (log N) (log (log N))))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (* (* N N) 1/2) (- (- N 1) (* (log N) N))) * [misc]none: prog is (λ (N) (+ (* (* N N) 1/2) (- (- N 1) (* (log N) N)))) * * * [misc]progress: simplifying alt 98 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (exp (- (log (* -1 (log N))) (log N))) (+ (log N) (* (log N) N)))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (+ (/ 1/2 N) 1) (+ (/ (- (log N)) N) (+ (* (+ 1 N) (log N)) 1))) * [misc]none: prog is (λ (N) (- (+ (/ 1/2 N) 1) (+ (/ (- (log N)) N) (+ (* (+ 1 N) (log N)) 1)))) * * * [misc]progress: simplifying alt 99 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (exp (- (log (* -1 (- (log -1) (log N)))) (log N))) (+ (* (log N) N) (log N)))) 1) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (- (+ 1 (+ (* (log -1) N) (+ (log -1) (/ 1/2 N)))) (/ (* (- (log -1) (log N)) -1) N)) (+ (* (+ N 1) (log N)) 1)) * [misc]none: prog is (λ (N) (- (- (+ 1 (+ (* (log -1) N) (+ (log -1) (/ 1/2 N)))) (/ (* (- (log -1) (log N)) -1) N)) (+ (* (+ N 1) (log N)) 1))) * * * [misc]progress: simplifying alt 100 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (exp (log (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 101 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (exp (log (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 102 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (exp (log (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 103 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (exp (+ (log N) (log (log N))))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 104 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (exp (- (log (* -1 (log N))) (log N)))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (/ (- (log N)) N)) 1) * [misc]none: prog is (λ (N) (- (- (* (log (+ N 1)) (+ N 1)) (/ (- (log N)) N)) 1)) * * * [misc]progress: simplifying alt 105 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (/ (* -1 (- (log -1) (log N))) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (/ (* -1 (- (log -1) (log N))) N) 1))) * * * [misc]progress: simplifying alt 106 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (exp (+ (log N) (log (log N))))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 107 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (exp (- (log (* -1 (log N))) (log N)))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (/ (- (log N)) N)) 1) * [misc]none: prog is (λ (N) (- (- (* (log (+ N 1)) (+ N 1)) (/ (- (log N)) N)) 1)) * * * [misc]progress: simplifying alt 108 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (exp (- (log (* -1 (- (log -1) (log N)))) (log N)))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (/ (* -1 (- (log -1) (log N))) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (/ (* -1 (- (log -1) (log N))) N) 1))) * * * [misc]progress: simplifying alt 109 of 264 * [enter]simplify: Simplifying (- (- (+ N (* 1/2 (sqr N))) (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (* 1/6 (pow N 3)) (* +nan.0 (* (pow (log N) 3) (pow N 3)))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 110 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (* +nan.0 (sqr (log N))) (- (+ (log N) (* (log N) N)) (* +nan.0 (/ (pow (log N) 3) N))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 111 of 264 * [enter]simplify: Simplifying (- (- (+ (log -1) (+ 1 (+ (* (log -1) N) (* 1/2 (/ 1 N))))) (+ (* +nan.0 (* (log N) (log -1))) (- (+ (log N) (* (log N) N)) (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (sqr (log N))) (- (* +nan.0 (sqr (log -1)))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 112 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (sqr (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 113 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (sqr (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 114 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (sqr (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ (/ 1/2 N) N)) (log N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ (/ 1/2 N) N)) (log N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 115 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (sqr (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (* (log N) N)) (- (* +nan.0 (* (pow (log N) 3) (pow N 3)))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 116 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (sqr (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (/ (pow (log N) 3) (sqr N)))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 117 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (sqr (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (log -1)) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 118 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (* (pow (log N) 4) (pow N 4))) (- (* +nan.0 (* (pow (log N) 3) (pow N 3))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 119 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (* +nan.0 (/ (pow (log N) 3) N)))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 120 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) N)) (- (+ (* +nan.0 (* (log N) (log -1))) (- (+ (* +nan.0 (/ (* (log N) (pow (log -1) 3)) (sqr N))) (- (+ (* +nan.0 (/ (pow (log N) 3) N)) (- (+ (* +nan.0 (/ (pow (log -1) 3) N)) (- (+ (* +nan.0 (/ (* (log N) (sqr (log -1))) N)) (- (+ (* +nan.0 (/ (* (pow (log N) 3) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (pow (log -1) 4) (sqr N))) (- (+ (* +nan.0 (sqr (log N))) (- (+ (* +nan.0 (/ (pow (log N) 4) (sqr N))) (- (+ (* +nan.0 (/ (* (sqr (log N)) (sqr (log -1))) (sqr N))) (- (* +nan.0 (sqr (log -1))))))))))))))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 121 of 264 * [enter]simplify: Simplifying (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) (- N)) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) (- N)) 1))) * * * [misc]progress: simplifying alt 122 of 264 * [enter]simplify: Simplifying (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ (* (- N) (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ (* (- N) (log N)) 1))) * * * [misc]progress: simplifying alt 123 of 264 * [enter]simplify: Simplifying (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ (* (log N) (- N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ (* (log N) (- N)) 1))) * * * [misc]progress: simplifying alt 124 of 264 * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (+ (* -1 (* (log N) N)) 1)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1))) * * * [misc]progress: simplifying alt 125 of 264 * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) N) 1)) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 126 of 264 * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (+ (* -1 (* N (- (log -1) (log N)))) 1)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (* (- N) (- (log -1) (log N)))) 1) * [misc]none: prog is (λ (N) (- (- (* (log (+ N 1)) (+ N 1)) (* (- N) (- (log -1) (log N)))) 1)) * * * [misc]progress: simplifying alt 127 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (- (+ N (* N (* N 1/2))) (+ (* (cube N) 1/6) (* (- N) (log N)))) 1) * [misc]none: prog is (λ (N) (- (- (+ N (* N (* N 1/2))) (+ (* (cube N) 1/6) (* (- N) (log N)))) 1)) * * * [misc]progress: simplifying alt 128 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (log N) N))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1/2 N) 1) (* (log N) (+ 1 N))) (+ 1 (* (log N) (- N)))) * [misc]none: prog is (λ (N) (- (- (+ (/ 1/2 N) 1) (* (log N) (+ 1 N))) (+ 1 (* (log N) (- N))))) * * * [misc]progress: simplifying alt 129 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) (+ (* (log N) (- N)) 1)) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (+ 1 (+ (* (log -1) N) (+ (log -1) (/ 1/2 N)))) (+ (* (log N) (+ (+ N 1) (- N))) 1)) * [misc]none: prog is (λ (N) (- (+ 1 (+ (* (log -1) N) (+ (log -1) (/ 1/2 N)))) (+ (* (log N) (+ (+ N 1) (- N))) 1))) * * * [misc]progress: simplifying alt 130 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (+ (* 1/2 (sqr N)) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (+ (* N (+ (* N 1/2) (log N))) (- N 1)) * [misc]none: prog is (λ (N) (+ (* N (+ (* N 1/2) (log N))) (- N 1))) * * * [misc]progress: simplifying alt 131 of 264 * [enter]simplify: Simplifying (- (* 1/2 (/ 1 N)) (+ (log N) (* 2 (* (log N) N)))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (* (* N 2) (log N))) * [misc]none: prog is (λ (N) (- (- (/ 1/2 N) (log N)) (* (* N 2) (log N)))) * * * [misc]progress: simplifying alt 132 of 264 * [enter]simplify: Simplifying (- (+ (* 2 (* (log -1) N)) (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 2 (* (log N) N)))) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (+ (* (* N 2) (log -1)) (+ (/ 1/2 N) (log -1))) (+ (log N) (* (* 2 N) (log N)))) * [misc]none: prog is (λ (N) (- (+ (* (* N 2) (log -1)) (+ (/ 1/2 N) (log -1))) (+ (log N) (* (* 2 N) (log N))))) * * * [misc]progress: simplifying alt 133 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 134 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (- 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (- 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 135 of 264 * [enter]simplify: Simplifying (- (- (+ (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (log N) N)) (* (log -1) N)) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (- (* N (- (log N) (log -1))) 1)) * [misc]none: prog is (λ (N) (+ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (- (* N (- (log N) (log -1))) 1))) * * * [misc]progress: simplifying alt 136 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* (- (+ N (* (* 1/3 N) (sqr N))) (* 1/2 (sqr N))) (+ N 1)) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (- (+ N (* (* 1/3 N) (sqr N))) (* 1/2 (sqr N))) (+ N 1)) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 137 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 138 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (* (+ (- (- (log -1) (log N)) (/ (/ 1/2 N) N)) (/ 1 N)) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ (- (- (log -1) (log N)) (/ (/ 1/2 N) N)) (/ 1 N)) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 139 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 140 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 141 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 142 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 143 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ (/ 1 N) 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ (/ 1 N) 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 144 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (- 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (- 1 (/ 1 N)))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (- 1 (/ 1 N)))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 145 of 264 * [enter]simplify: Simplifying (- (- (+ (/ (cube (* (log N) N)) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N)) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N))) (+ (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/6 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (* (+ (sqr (log N)) (+ (log N) 1)) (sqr N))) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (* 1/12 (/ (cube (* (+ 1 N) (log (+ 1 N)))) (sqr (+ (sqr (log N)) (+ (log N) 1)))))))))))) (+ (/ (cube (* (log N) N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3)) (+ (* 1/6 (/ (* (log N) (cube (* (log N) N))) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/12 (/ (cube (* (log N) N)) (sqr (+ (sqr (log N)) (+ (log N) 1))))) (+ (* 1/2 (/ (* (cube (* (log N) N)) (log N)) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (+ 1 N) (log (+ 1 N))))) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N))) (+ (/ (cube (* (+ 1 N) (log (+ 1 N)))) (* (sqr (+ (sqr (log N)) (+ (log N) 1))) N)) (+ (* 1/4 (/ (* (sqr (log N)) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (+ (* 1/2 (/ (* (log N) (cube (* (log N) N))) (pow (+ (sqr (log N)) (+ (log N) 1)) 3))) (/ (cube (* (log N) N)) (* (+ (sqr (log N)) (+ (log N) 1)) (sqr N)))))))))))) 1) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (- (+ (+ (+ (/ (* (log N) (* (log N) 1/4)) (/ (cube (+ (* (log N) (log N)) (+ (log N) 1))) (cube (* (log (+ N 1)) (+ N 1))))) (* (/ 1/2 N) (* (/ (cube (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1))) (/ (log N) (+ (* (log N) (log N)) (+ (log N) 1)))))) (+ (+ (/ (* (* (log N) (cube (+ N 1))) (cube (log (+ N 1)))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (* 1/6 (log N)) (cube (* (log (+ N 1)) (+ N 1)))) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1))))) (+ (/ (* (* 1/12 (cube (+ N 1))) (cube (log (+ N 1)))) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1)))) (+ (/ (cube (* (log (+ N 1)) (+ N 1))) (* (+ (* (log N) (log N)) (+ (log N) 1)) (sqr N))) (/ (cube (* (log (+ N 1)) (+ N 1))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))))))) (- (* (/ (* (log N) N) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (* (log N) N) (* (log N) N)) N)) (/ (cube (* (log N) N)) (cube (+ (* (log N) (log N)) (+ (log N) 1)))))) (+ (+ (+ (* (/ (cube (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1))) (/ 1/12 (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (cube (* (log N) N)) (* 1/2 (log N))) (cube (+ (* (log N) (log N)) (+ (log N) 1))))) (+ (+ (* (/ (* (log N) N) (sqr N)) (/ (* (* (log N) N) (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1)))) (+ (/ (* (* (* 1/4 (log N)) (log N)) (cube (* (log N) N))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (cube (* (log N) N)) (* 1/2 (log N))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))))) (+ (/ (* (* 1/2 (log N)) (cube (* (log (+ N 1)) (+ N 1)))) (* N (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1))))) (* (/ (* (log (+ N 1)) (+ N 1)) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (sqr (* (log (+ N 1)) (+ N 1))) N))))) (+ (* (/ (* 1/6 (log N)) (+ (* (log N) (log N)) (+ (log N) 1))) (/ (cube (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1)))) 1))) * [misc]none: prog is (λ (N) (- (+ (+ (+ (/ (* (log N) (* (log N) 1/4)) (/ (cube (+ (* (log N) (log N)) (+ (log N) 1))) (cube (* (log (+ N 1)) (+ N 1))))) (* (/ 1/2 N) (* (/ (cube (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1))) (/ (log N) (+ (* (log N) (log N)) (+ (log N) 1)))))) (+ (+ (/ (* (* (log N) (cube (+ N 1))) (cube (log (+ N 1)))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (* 1/6 (log N)) (cube (* (log (+ N 1)) (+ N 1)))) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1))))) (+ (/ (* (* 1/12 (cube (+ N 1))) (cube (log (+ N 1)))) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1)))) (+ (/ (cube (* (log (+ N 1)) (+ N 1))) (* (+ (* (log N) (log N)) (+ (log N) 1)) (sqr N))) (/ (cube (* (log (+ N 1)) (+ N 1))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))))))) (- (* (/ (* (log N) N) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (* (log N) N) (* (log N) N)) N)) (/ (cube (* (log N) N)) (cube (+ (* (log N) (log N)) (+ (log N) 1)))))) (+ (+ (+ (* (/ (cube (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1))) (/ 1/12 (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (cube (* (log N) N)) (* 1/2 (log N))) (cube (+ (* (log N) (log N)) (+ (log N) 1))))) (+ (+ (* (/ (* (log N) N) (sqr N)) (/ (* (* (log N) N) (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1)))) (+ (/ (* (* (* 1/4 (log N)) (log N)) (cube (* (log N) N))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (* (cube (* (log N) N)) (* 1/2 (log N))) (cube (+ (* (log N) (log N)) (+ (log N) 1)))))) (+ (/ (* (* 1/2 (log N)) (cube (* (log (+ N 1)) (+ N 1)))) (* N (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1))))) (* (/ (* (log (+ N 1)) (+ N 1)) (* (+ (* (log N) (log N)) (+ (log N) 1)) (+ (* (log N) (log N)) (+ (log N) 1)))) (/ (sqr (* (log (+ N 1)) (+ N 1))) N))))) (+ (* (/ (* 1/6 (log N)) (+ (* (log N) (log N)) (+ (log N) 1))) (/ (cube (* (log N) N)) (+ (* (log N) (log N)) (+ (log N) 1)))) 1)))) * * * [misc]progress: simplifying alt 146 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (sqr (log N)) (pow N 4)))) (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (pow (log N) 3) (pow N 3)))) (+ (* 7/18 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (pow (log N) 3) (pow N 4)))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (pow (log N) 4) (pow N 4)))) (+ (* 1/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (sqr (log N)) (sqr N)))) (+ (* 5/18 (/ (cube (/ (log (/ 1 N)) N)) (* (pow (log N) 3) (pow N 4)))) (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (* (sqr (log N)) (pow N 3)))))))))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (* (sqr (log N)) (sqr N)))) (+ (* 2/3 (/ (cube (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) (* (pow (log N) 3) (pow N 4)))) (+ (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (sqr (log N)) (pow N 4)))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (* (pow (log N) 4) (pow N 4)))) (+ (* 1/3 (/ (cube (/ (log (/ 1 N)) N)) (* (pow (log N) 3) (pow N 3)))) (+ (* 1/3 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (sqr (log N)) (pow N 3)))) (+ (* 2/9 (/ (cube (/ (log (/ 1 N)) N)) (* (sqr (log N)) (pow N 4)))) (* 1/9 (/ (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (pow (log N) 4) (pow N 4)))))))))))) 1) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (* 1/3 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (* (pow N 4) (log N)) (log N))) (* (/ 1/3 (cube N)) (/ (cube (log (+ 1 (/ 1 N)))) (/ (cube (log N)) (cube (+ 1 (/ 1 N))))))) (+ (+ (+ (* (/ 1/3 (cube N)) (/ (cube (/ (- (log N)) N)) (* (log N) (log N)))) (* (/ 5/18 (pow N 4)) (/ (- (cube (log N))) (* (cube N) (cube (log N)))))) (/ (* (* 1/3 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (* (* N N) (log N)) (log N)))) (+ (* 1/3 (/ (cube (log (+ 1 (/ 1 N)))) (/ (* (pow N 4) (pow (log N) 4)) (cube (+ 1 (/ 1 N)))))) (* 7/18 (/ (cube (log (+ 1 (/ 1 N)))) (/ (* (pow N 4) (cube (log N))) (cube (+ 1 (/ 1 N))))))))) (+ (+ (+ (/ (* (cube (/ (- (log N)) N)) 1/3) (* (* (* N N) (log N)) (log N))) (+ (* (/ (cube (log (+ 1 (/ 1 N)))) (/ (* (pow N 4) (cube (log N))) (cube (+ 1 (/ 1 N))))) 2/3) (/ (* (* 1/9 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (* (pow N 4) (log N)) (log N))))) (+ (* (/ 2/9 (pow N 4)) (/ (- (cube (log N))) (* (pow (log N) 4) (cube N)))) (+ (+ (* (/ 1/3 (cube N)) (/ (- (cube (log N))) (* (cube N) (cube (log N))))) (/ (* (* 1/3 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (cube N) (* (log N) (log N))))) (+ (* (/ (cube (/ (- (log N)) N)) (* (* (pow N 4) (log N)) (log N))) 2/9) (/ (* (* 1/9 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (pow N 4) (pow (log N) 4))))))) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (/ (* (* 1/3 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (* (pow N 4) (log N)) (log N))) (* (/ 1/3 (cube N)) (/ (cube (log (+ 1 (/ 1 N)))) (/ (cube (log N)) (cube (+ 1 (/ 1 N))))))) (+ (+ (+ (* (/ 1/3 (cube N)) (/ (cube (/ (- (log N)) N)) (* (log N) (log N)))) (* (/ 5/18 (pow N 4)) (/ (- (cube (log N))) (* (cube N) (cube (log N)))))) (/ (* (* 1/3 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (* (* N N) (log N)) (log N)))) (+ (* 1/3 (/ (cube (log (+ 1 (/ 1 N)))) (/ (* (pow N 4) (pow (log N) 4)) (cube (+ 1 (/ 1 N)))))) (* 7/18 (/ (cube (log (+ 1 (/ 1 N)))) (/ (* (pow N 4) (cube (log N))) (cube (+ 1 (/ 1 N))))))))) (+ (+ (+ (/ (* (cube (/ (- (log N)) N)) 1/3) (* (* (* N N) (log N)) (log N))) (+ (* (/ (cube (log (+ 1 (/ 1 N)))) (/ (* (pow N 4) (cube (log N))) (cube (+ 1 (/ 1 N))))) 2/3) (/ (* (* 1/9 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (* (pow N 4) (log N)) (log N))))) (+ (* (/ 2/9 (pow N 4)) (/ (- (cube (log N))) (* (pow (log N) 4) (cube N)))) (+ (+ (* (/ 1/3 (cube N)) (/ (- (cube (log N))) (* (cube N) (cube (log N))))) (/ (* (* 1/3 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (cube N) (* (log N) (log N))))) (+ (* (/ (cube (/ (- (log N)) N)) (* (* (pow N 4) (log N)) (log N))) 2/9) (/ (* (* 1/9 (cube (+ 1 (/ 1 N)))) (cube (log (+ 1 (/ 1 N))))) (* (pow N 4) (pow (log N) 4))))))) 1))) * * * [misc]progress: simplifying alt 147 of 264 * [enter]simplify: Simplifying (- (- (+ (* 27 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (* (log N) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 2 (/ (* (log N) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (* 27 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1)))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (cube (* -1 (/ (log (/ -1 N)) N))) (sqr (log -1))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 3)))) (+ (* 18 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 3)) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 7/2 (/ (* (log N) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (sqr (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (* 54 (/ (* (sqr (log N)) (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (sqr (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 9 (/ (* (log N) (* (cube (* -1 (/ (log (/ -1 N)) N))) (log -1))) (* (pow (- (+ (* 3 (sqr (log N))) (* 3 (sqr (log -1)))) (* 6 (* (log N) (log -1)))) 3) (pow N 4)))) (+ (* 3 (/ (* (sqr (log N)) (cube (* -1 (/ (log (/ -1 N)) N)))) (* (sqr (- (+ (* 3 (sqr (log N))) 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N)) N) -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (cube (* (/ (log (/ -1 N)) N) -1)) (* (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))) (* N N)))) (+ (/ (* 9 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log -1) (* (log N) (log N))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (/ (* 9 (* (pow (log -1) 4) (cube (* (/ (log (/ -1 N)) N) -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 45 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (* (log -1) (log -1)) (* (log N) (log N))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))))))))))))))))) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (/ (* 27 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (* (log -1) (log -1)) (log N)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* 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(+ (* (* (/ (* (log N) (log N)) (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))) (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (pow N 4))) 54) (/ (* 9 (* (* (log -1) (log -1)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (/ (* 9 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log N) (log -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (+ (/ (* 3 (* (* (log N) (log N)) (cube (* (/ (log (/ -1 N)) N) -1)))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N))) (/ (* 36 (* (* (cube (* (/ (log (/ -1 N)) N) -1)) (cube (log N))) (log -1))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (* 9 (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log N) 4))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 18 (* (cube (* (/ (log (/ -1 N)) N) -1)) (cube (log N)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (* 3 (* (cube (* (/ (log (/ -1 N)) N) -1)) (log -1))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N))) (/ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (* (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))) (* N N)))) (+ (+ (* (/ (* (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log N)) (log -1)) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N))) 6) (/ (* 18 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log N) (cube (log -1))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (/ (* 3 (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log N))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N))) (+ (+ (* (/ (cube (* (/ (log (/ -1 N)) N) -1)) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))) (/ (* (log -1) (log -1)) (pow N 4))) (/ (* 9 (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (pow (log -1) 4))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (cube (* (/ (log (/ -1 N)) N) -1)) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))))) (/ (* 9 (* (* (log N) (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (* 9 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log N) (log -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (* (/ (* (log N) (log N)) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))) (/ (cube (* (/ (log (/ -1 N)) N) -1)) (pow N 4)))) (+ (/ (* 18 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log N) (cube (log -1))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 7/2 (* (cube (* (/ (log (/ -1 N)) N) -1)) (log -1))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))))))))))))))))) (/ (* 27 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (* (log -1) (log -1)) (log N)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))))) (+ (+ (+ (* (* (/ (log N) (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))) (/ (* (* (log -1) (log -1)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (pow N 4))) 54) (/ (* 3 (* (* (log -1) (log -1)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N)))) (+ (+ (/ (* 6 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log N) (log -1)))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N))) (/ (* (* (log -1) (log -1)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))))) (+ (+ (* 36 (* (/ (cube (log N)) (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))) (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1)) (pow N 4)))) (/ (* 9 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (* (log -1) (log -1)) (* (log N) (log N))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (* 9 (* (pow (log N) 4) (cube (* (/ (log (/ -1 N)) N) -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 3 (* (cube (* (/ (log (/ -1 N)) N) -1)) (log N))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N)))) (+ (/ (* 7/2 (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))))) (+ (+ (/ (* 9 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log -1) (log -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 18 (* (cube (* (/ (log (/ -1 N)) N) -1)) (cube (log -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (* 2 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log N) (log -1)))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))))) (/ (* 18 (* (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log N)) (log -1))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (* 36 (* (/ (log N) (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))) (/ (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (log -1))) (pow N 4)))) (/ (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))))) (+ (+ (/ (* 45 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log -1) (* (log N) (log N))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 3 (* (* (log N) (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N)))) (+ (+ (/ (* 3 (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (log -1))) (* (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (cube N))) (/ (* 7/2 (* (cube (* (/ (log (/ -1 N)) N) -1)) (log N))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))))))) (+ (+ (/ (* (* (log N) (log N)) (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))))) (* (pow N 4) (sqr (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))))) (/ (* 18 (* (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (log N)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4)))) (+ (+ (/ (* 9 (* (* (log N) (log N)) (cube (* (/ (log (/ -1 N)) N) -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (cube (* (/ (log (/ -1 N)) N) -1)) (* (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1)))) (* N N)))) (+ (/ (* 9 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (log -1) (* (log N) (log N))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (+ (/ (* 9 (* (pow (log -1) 4) (cube (* (/ (log (/ -1 N)) N) -1)))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))) (/ (* 45 (* (cube (* (/ (log (/ -1 N)) N) -1)) (* (* (log -1) (log -1)) (* (log N) (log N))))) (* (cube (- (* 3 (+ (* (log N) (log N)) (* (log -1) (log -1)))) (* 6 (* (log N) (log -1))))) (pow N 4))))))))))))))))) 1))) * * * [misc]progress: simplifying alt 148 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* (log N) N))) (+ (* (* (log N) N) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* (log N) N))) (+ (* (* (log N) N) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))))) 1)) * * * [misc]progress: simplifying alt 149 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (cube (/ (log (/ 1 N)) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (sqr (/ (log N) N)) (- (/ (log N) N)))) (+ (* (* N (log N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* N (log N)))) (sqr (* (log (+ 1 N)) (+ 1 N))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (* (sqr (/ (log N) N)) (- (/ (log N) N)))) (+ (* (* N (log N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* N (log N)))) (sqr (* (log (+ 1 N)) (+ 1 N))))) 1)) * * * [misc]progress: simplifying alt 150 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (* -1 (/ (log (/ -1 N)) N)))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (/ (log (/ -1 N)) (/ N -1)))) (+ (* (* N (log N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* N (log N)))) (sqr (* (log (+ 1 N)) (+ 1 N))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (cube (/ (log (/ -1 N)) (/ N -1)))) (+ (* (* N (log N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* N (log N)))) (sqr (* (log (+ 1 N)) (+ 1 N))))) 1)) * * * [misc]progress: simplifying alt 151 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (+ (* 1/3 (cube N)) (- N (* (sqr N) 1/2))) (* (* (+ N 1) N) (log N))) (+ (* (* N (log N)) (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1))))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (+ (* 1/3 (cube N)) (- N (* (sqr N) 1/2))) (* (* (+ N 1) N) (log N))) (+ (* (* N (log N)) (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1))))))) 1)) * * * [misc]progress: simplifying alt 152 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (* (* (+ N 1) (log N)) N)) (+ (* (* N (log N)) (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1))))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (* (* (+ N 1) (log N)) N)) (+ (* (* N (log N)) (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1))))))) 1)) * * * [misc]progress: simplifying alt 153 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* N (log N)))) (+ (+ (* (* N (log N)) (* N (log N))) (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1)))) (* (- (+ (/ 1 N) (log -1)) (+ (log N) (/ 1/2 (sqr N)))) (* (* (+ N 1) (log N)) N)))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* N (log N)))) (+ (+ (* (* N (log N)) (* N (log N))) (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1)))) (* (- (+ (/ 1 N) (log -1)) (+ (log N) (/ 1/2 (sqr N)))) (* (* (+ N 1) (log N)) N)))) 1)) * * * [misc]progress: simplifying alt 154 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (* (+ N (- (* 1/3 (cube N)) (* 1/2 (sqr N)))) (+ N 1)) (* (+ N (- (* 1/3 (cube N)) (* 1/2 (sqr N)))) (+ N 1))) (* (* N (log N)) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (* (+ N (- (* 1/3 (cube N)) (* 1/2 (sqr N)))) (+ N 1)) (* (+ N (- (* 1/3 (cube N)) (* 1/2 (sqr N)))) (+ N 1))) (* (* N (log N)) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))))) 1)) * * * [misc]progress: simplifying alt 155 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))))) (* (* N (log N)) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) (+ (* (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))))) (* (* N (log N)) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))))) 1)) * * * [misc]progress: simplifying alt 156 of 264 * [enter]simplify: Simplifying (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) (+ (sqr (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N)))))) 1) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* N (log N)))) (+ (sqr (* (+ N 1) (- (- (log -1) (/ (/ 1/2 N) N)) (- (log N) (/ 1 N))))) (* (* N (log N)) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1)))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* N (log N)))) (+ (sqr (* (+ N 1) (- (- (log -1) (/ (/ 1/2 N) N)) (- (log N) (/ 1 N))))) (* (* N (log N)) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1)))))) 1)) * * * [misc]progress: simplifying alt 157 of 264 * [enter]simplify: Simplifying (- (- (* (+ 1 N) (log (+ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 N)) (+ 1 N)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 158 of 264 * [enter]simplify: Simplifying (- (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 159 of 264 * [enter]simplify: Simplifying (- (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 160 of 264 * [enter]simplify: Simplifying (- (- (+ (log (+ 1 N)) (* N (log (+ 1 N)))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 161 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (+ (/ (log (+ 1 (/ 1 N))) N) (log (+ 1 (/ 1 N))))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (+ (* (log N) N) (+ (/ (log (+ (/ 1 N) 1)) N) (- (log (+ (/ 1 N) 1)) 1))) * [misc]none: prog is (λ (N) (+ (* (log N) N) (+ (/ (log (+ (/ 1 N) 1)) N) (- (log (+ (/ 1 N) 1)) 1)))) * * * [misc]progress: simplifying alt 162 of 264 * [enter]simplify: Simplifying (- (- (+ (* (log N) N) (log (- 1 (/ 1 N)))) (+ (/ (log (- 1 (/ 1 N))) N) (* (log -1) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (- (+ (log (- 1 (/ 1 N))) (- (* (log N) N) (* N (log -1)))) (/ (log (- 1 (/ 1 N))) N)) 1) * [misc]none: prog is (λ (N) (- (- (+ (log (- 1 (/ 1 N))) (- (* (log N) N) (* N (log -1)))) (/ (log (- 1 (/ 1 N))) N)) 1)) * * * [misc]progress: simplifying alt 163 of 264 * [enter]simplify: Simplifying (- (- (cbrt (cube (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 164 of 264 * [enter]simplify: Simplifying (- (- (cbrt (cube (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 165 of 264 * [enter]simplify: Simplifying (- (- (cbrt (cube (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (/ 1/2 (sqr N))) (- (log N) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (/ 1/2 (sqr N))) (- (log N) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 166 of 264 * [enter]simplify: Simplifying (- (- (cbrt (cube (* (+ N 1) (log (+ N 1))))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 167 of 264 * [enter]simplify: Simplifying (- (- (cbrt (cube (* (+ N 1) (log (+ N 1))))) (* -1 (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (- N) (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (- N) (log N)) 1))) * * * [misc]progress: simplifying alt 168 of 264 * [enter]simplify: Simplifying (- (- (cbrt (cube (* (+ N 1) (log (+ N 1))))) (* N (- (log -1) (log N)))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (- (log -1) (log N))) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* N (- (log -1) (log N))) 1))) * * * [misc]progress: simplifying alt 169 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (* (sqr (log N)) (sqr N))) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))) 1) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (/ (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* N N) (* (log N) (log N)))) (+ (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) 1) * [misc]none: prog is (λ (N) (- (/ (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* N N) (* (log N) (log N)))) (+ (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) 1)) * * * [misc]progress: simplifying alt 170 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (* (sqr (log N)) (sqr N))) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))) 1) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (/ (* (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) (+ (/ (* (* (* N N) (log N)) (log N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 1)) * [misc]none: prog is (λ (N) (- (/ (* (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N)))) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) (+ (/ (* (* (* N N) (log N)) (log N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 1))) * * * [misc]progress: simplifying alt 171 of 264 * [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)))) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))) 1) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (/ (- (sqr (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N))))) (- (* (+ (* (log -1) (log -1)) (* (log N) (log N))) (* N N)) (* (* (log N) 2) (* (log -1) (* N N))))) (+ (* (log (+ N 1)) (+ N 1)) (* N (log N)))) 1) * [misc]none: prog is (λ (N) (- (/ (- (sqr (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N))))) (- (* (+ (* (log -1) (log -1)) (* (log N) (log N))) (* N N)) (* (* (log N) 2) (* (log -1) (* N N))))) (+ (* (log (+ N 1)) (+ N 1)) (* N (log N)))) 1)) * * * [misc]progress: simplifying alt 172 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) 1) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (- (/ (- (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (+ (* (- (+ (* (cube N) 1/3) N) (* (sqr N) 1/2)) (+ N 1)) (* (log N) N))) 1) * [misc]none: prog is (λ (N) (- (/ (- (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (+ (* (- (+ (* (cube N) 1/3) N) (* (sqr N) 1/2)) (+ N 1)) (* (log N) N))) 1)) * * * [misc]progress: simplifying alt 173 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) 1) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (/ (- (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (+ (* (log N) N) (* (+ N 1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))))) 1) * [misc]none: prog is (λ (N) (- (/ (- (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (+ (* (log N) N) (* (+ N 1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))))) 1)) * * * [misc]progress: simplifying alt 174 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) 1) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (/ (- (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (+ (* (log N) N) (* (- (+ (/ 1 N) (log -1)) (+ (log N) (/ (/ 1/2 N) N))) (+ N 1)))) 1) * [misc]none: prog is (λ (N) (- (/ (- (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (+ (* (log N) N) (* (- (+ (/ 1 N) (log -1)) (+ (log N) (/ (/ 1/2 N) N))) (+ N 1)))) 1)) * * * [misc]progress: simplifying alt 175 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))) 1) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (/ (sqr (* (+ (* (* 1/3 N) (sqr N)) (- N (* 1/2 (sqr N)))) (+ N 1))) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1)))) (+ (/ (sqr (* N (log N))) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1)))) 1)) * [misc]none: prog is (λ (N) (- (/ (sqr (* (+ (* (* 1/3 N) (sqr N)) (- N (* 1/2 (sqr N)))) (+ N 1))) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1)))) (+ (/ (sqr (* N (log N))) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1)))) 1))) * * * [misc]progress: simplifying alt 176 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))) 1) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (/ (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (/ (+ (* (+ N 1) (log (+ N 1))) (* N (log N))) (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)))) (+ 1 (/ (sqr (* N (log N))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))))) * [misc]none: prog is (λ (N) (- (/ (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (/ (+ (* (+ N 1) (log (+ N 1))) (* N (log N))) (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)))) (+ 1 (/ (sqr (* N (log N))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N))))))) * * * [misc]progress: simplifying alt 177 of 264 * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ N 1) (log (+ N 1))))) 1) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (- (/ (* (* (- (- (+ (/ 1 N) (log -1)) (/ (/ 1/2 N) N)) (log N)) (+ N 1)) (* (- (- (+ (/ 1 N) (log -1)) (/ (/ 1/2 N) N)) (log N)) (+ N 1))) (+ (* (log (+ N 1)) (+ N 1)) (* N (log N)))) (+ (/ (* (* N (log N)) (* N (log N))) (+ (* (log (+ N 1)) (+ N 1)) (* N (log N)))) 1)) * [misc]none: prog is (λ (N) (- (/ (* (* (- (- (+ (/ 1 N) (log -1)) (/ (/ 1/2 N) N)) (log N)) (+ N 1)) (* (- (- (+ (/ 1 N) (log -1)) (/ (/ 1/2 N) N)) (log N)) (+ N 1))) (+ (* (log (+ N 1)) (+ N 1)) (* N (log N)))) (+ (/ (* (* N (log N)) (* N (log N))) (+ (* (log (+ N 1)) (+ N 1)) (* N (log N)))) 1))) * * * [misc]progress: simplifying alt 178 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/4 (/ (* (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) N) (pow (+ (log N) 1) 3))) (+ (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (* (+ (log N) 1) N)) (* 1/6 (/ (* (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) N) (sqr (+ (log N) 1)))))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N))))) (sqr (+ (log N) 1)))) (/ (* (sqr (log N)) N) (+ (log N) 1)))) 1) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (/ (+ (log N) 1) N)) (/ 1/4 (* (+ (log N) 1) (+ (log N) 1)))) (+ (/ (* 1/6 (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1))))) (/ (+ (log N) 1) (/ N (+ (log N) 1)))) (- (/ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (+ N (* (log N) N))) (/ (* (* (* 1/2 (+ N 1)) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (* (+ (log N) 1) (+ (log N) 1)))))) (+ 1 (* (/ (sqr (log N)) (+ (log N) 1)) N))) * [misc]none: prog is (λ (N) (- (+ (* (/ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (/ (+ (log N) 1) N)) (/ 1/4 (* (+ (log N) 1) (+ (log N) 1)))) (+ (/ (* 1/6 (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1))))) (/ (+ (log N) 1) (/ N (+ (log N) 1)))) (- (/ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (+ N (* (log N) N))) (/ (* (* (* 1/2 (+ N 1)) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (* (+ (log N) 1) (+ (log N) 1)))))) (+ 1 (* (/ (sqr (log N)) (+ (log N) 1)) N)))) * * * [misc]progress: simplifying alt 179 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (* (log N) N)) (+ (* 1/8 (/ 1 (* (log N) N))) (+ 1/4 (* 1/8 (/ (log N) N))))) (+ (* 1/2 (/ (sqr (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) (* (log N) N))) (+ (* 1/4 (log N)) (* 1/8 (/ 1 N))))) 1) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (- (- (+ (+ (/ (log N) (/ N 1/8)) 1/4) (+ (* (* 1/2 N) (log N)) (/ (/ 1/8 N) (log N)))) (/ (* (* 1/2 (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (/ (/ (* N (log N)) (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))))) (+ (* 1/4 (log N)) (+ (/ 1/8 N) 1))) * [misc]none: prog is (λ (N) (- (- (+ (+ (/ (log N) (/ N 1/8)) 1/4) (+ (* (* 1/2 N) (log N)) (/ (/ 1/8 N) (log N)))) (/ (* (* 1/2 (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (/ (/ (* N (log N)) (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))))) (+ (* 1/4 (log N)) (+ (/ 1/8 N) 1)))) * * * [misc]progress: simplifying alt 180 of 264 * [enter]simplify: Simplifying (- (- (+ (/ (pow (log N) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (sqr (log N)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (* (sqr (log N)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 1/2 (/ (sqr (log N)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (* (sqr (log -1)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log -1) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))))))))))))))))) (+ (* 2 (/ (pow (log N) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 2 (/ (* (log N) (* (log -1) N)) (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (* (log N) (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N)) (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) 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))) (+ (* 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 (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (* (- (* 2 (log N)) (* 2 (log -1))) N))))))))))))) 1) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (- (+ (+ (+ (/ (* (log -1) (log -1)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (/ (/ (* (* 1/2 (log -1)) (log -1)) N) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))) (+ (+ (+ (/ (* (* (log -1) (log -1)) N) (* (- (log N) (log -1)) 2)) (+ (/ (cube (log -1)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (/ (/ (* 2 (cube (log -1))) N) (cube (* (- (log N) (log -1)) 2))))) (+ (+ (+ (/ (* (log N) (log N)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (* (/ (log -1) (cube (* (- (log N) (log -1)) 2))) (/ (log -1) N))) (* 6 (* (/ (* (log N) (log N)) (cube (* (- (log N) (log -1)) 2))) (+ (/ (log -1) N) (/ (* (log -1) (log -1)) N))))) (+ (/ (pow (log -1) 4) (* (cube (* (- (log N) (log -1)) 2)) N)) (/ (* (* (* (log N) (log -1)) (log N)) 3) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))))) (+ (/ (/ (* (* 1/2 (log N)) (log N)) N) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (* (/ N 2) (/ (* (log N) (log N)) (- (log N) (log -1))))))) (+ (/ (pow (log N) 4) (* (cube (* (- (log N) (log -1)) 2)) N)) (* (/ (log N) (cube (* (- (log N) (log -1)) 2))) (/ (log N) N)))) (+ (+ (+ (/ (/ (* (cube (log N)) 2) N) (cube (* (- (log N) (log -1)) 2))) (/ (* (* (* (log N) (log -1)) (log -1)) 3) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))) (+ (+ (/ (* 6 (* (* (log N) (log -1)) (log -1))) (* (cube (* (- (log N) (log -1)) 2)) N)) (/ (* (* (log N) 2) (* (log -1) N)) (* (- (log N) (log -1)) 2))) (+ (+ (/ (/ (* (log N) (log -1)) N) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (/ (/ (* (* 4 (log N)) (cube (log -1))) N) (cube (* (- (log N) (log -1)) 2)))) (+ (+ (+ (/ (/ (* (* (log N) 2) (log -1)) N) (cube (* (- (log N) (log -1)) 2))) (/ (cube (log N)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))) (* (/ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (* (- (log N) (log -1)) 2)) (/ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) N))) (+ (/ (/ (* (* 4 (log -1)) (cube (log N))) N) (cube (* (- (log N) (log -1)) 2))) (/ (* (* (log N) (log -1)) 2) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))))))) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (+ (/ (* (log -1) (log -1)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (/ (/ (* (* 1/2 (log -1)) (log -1)) N) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))) (+ (+ (+ (/ (* (* (log -1) (log -1)) N) (* (- (log N) (log -1)) 2)) (+ (/ (cube (log -1)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (/ (/ (* 2 (cube (log -1))) N) (cube (* (- (log N) (log -1)) 2))))) (+ (+ (+ (/ (* (log N) (log N)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (* (/ (log -1) (cube (* (- (log N) (log -1)) 2))) (/ (log -1) N))) (* 6 (* (/ (* (log N) (log N)) (cube (* (- (log N) (log -1)) 2))) (+ (/ (log -1) N) (/ (* (log -1) (log -1)) N))))) (+ (/ (pow (log -1) 4) (* (cube (* (- (log N) (log -1)) 2)) N)) (/ (* (* (* (log N) (log -1)) (log N)) 3) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))))) (+ (/ (/ (* (* 1/2 (log N)) (log N)) N) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (* (/ N 2) (/ (* (log N) (log N)) (- (log N) (log -1))))))) (+ (/ (pow (log N) 4) (* (cube (* (- (log N) (log -1)) 2)) N)) (* (/ (log N) (cube (* (- (log N) (log -1)) 2))) (/ (log N) N)))) (+ (+ (+ (/ (/ (* (cube (log N)) 2) N) (cube (* (- (log N) (log -1)) 2))) (/ (* (* (* (log N) (log -1)) (log -1)) 3) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))) (+ (+ (/ (* 6 (* (* (log N) (log -1)) (log -1))) (* (cube (* (- (log N) (log -1)) 2)) N)) (/ (* (* (log N) 2) (* (log -1) N)) (* (- (log N) (log -1)) 2))) (+ (+ (/ (/ (* (log N) (log -1)) N) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2))) (/ (/ (* (* 4 (log N)) (cube (log -1))) N) (cube (* (- (log N) (log -1)) 2)))) (+ (+ (+ (/ (/ (* (* (log N) 2) (log -1)) N) (cube (* (- (log N) (log -1)) 2))) (/ (cube (log N)) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))) (* (/ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (* (- (log N) (log -1)) 2)) (/ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) N))) (+ (/ (/ (* (* 4 (log -1)) (cube (log N))) N) (cube (* (- (log N) (log -1)) 2))) (/ (* (* (log N) (log -1)) 2) (* (* (- (log N) (log -1)) 2) (* (- (log N) (log -1)) 2)))))))) 1))) * * * [misc]progress: simplifying alt 181 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 182 of 264 * [enter]simplify: Simplifying (- (+ (* (log N) N) (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N)))))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (- 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (- 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 183 of 264 * [enter]simplify: Simplifying (- (- (+ (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (log N) N)) (* (log -1) N)) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (- (* N (- (log N) (log -1))) 1)) * [misc]none: prog is (λ (N) (+ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (- (* N (- (log N) (log -1))) 1))) * * * [misc]progress: simplifying alt 184 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (+ (- N (* 1/2 (sqr N))) (* 1/3 (cube N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ (- N (* 1/2 (sqr N))) (* 1/3 (cube N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 185 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 186 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cube (cbrt (cbrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (* (- (- (log -1) (log N)) (- (/ 1/2 (sqr N)) (/ 1 N))) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (- (- (log -1) (log N)) (- (/ 1/2 (sqr N)) (/ 1 N))) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 187 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 N))) (cbrt (+ 1 N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ 1 N) (log (+ 1 N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 188 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ 1 (/ 1 N))) (+ 1 (/ 1 N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 189 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 190 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 191 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ (/ 1 N) 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ (/ 1 N) 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 192 of 264 * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (- 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (- 1 (/ 1 N)))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (- 1 (/ 1 N)))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 193 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (- (- N (* N (log N))) (+ (* (cube N) 1/6) 1)) (* (* N N) 1/2)) * [misc]none: prog is (λ (N) (+ (- (- N (* N (log N))) (+ (* (cube N) 1/6) 1)) (* (* N N) 1/2))) * * * [misc]progress: simplifying alt 194 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (- (- (/ 1/2 N) (/ 1/6 (* N N))) (+ (log N) 1)) 1) * [misc]none: prog is (λ (N) (+ (- (- (/ 1/2 N) (/ 1/6 (* N N))) (+ (log N) 1)) 1)) * * * [misc]progress: simplifying alt 195 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1))) * * * [misc]progress: simplifying alt 196 of 264 * [enter]simplify: Simplifying (- (- (/ (* (- (sqr N) 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (- N 1)) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (* (- N (- (* N (* 1/2 N)) (* (* 1/3 N) (sqr N)))) (/ (- (sqr N) 1) (- N 1))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (- N (- (* N (* 1/2 N)) (* (* 1/3 N) (sqr N)))) (/ (- (sqr N) 1) (- N 1))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 197 of 264 * [enter]simplify: Simplifying (- (- (/ (* (- (sqr N) 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (- N 1)) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (/ (- (sqr N) 1) (- N 1)) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (/ (- (sqr N) 1) (- N 1)) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 198 of 264 * [enter]simplify: Simplifying (- (- (/ (* (- (sqr N) 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (- N 1)) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (* (- (+ (/ 1 N) (log -1)) (+ (log N) (/ 1/2 (sqr N)))) (/ (- (sqr N) 1) (- N 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (/ 1 N) (log -1)) (+ (log N) (/ 1/2 (sqr N)))) (/ (- (sqr N) 1) (- N 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 199 of 264 * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (+ N (* (* N N) 1/2)) (+ (+ (* (cube N) 1/6) (* (log N) N)) 1)) * [misc]none: prog is (λ (N) (- (+ N (* (* N N) 1/2)) (+ (+ (* (cube N) 1/6) (* (log N) N)) 1))) * * * [misc]progress: simplifying alt 200 of 264 * [enter]simplify: Simplifying (- (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* (log N) N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1/2 N) 1) (* (log N) (+ 1 N))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (- (+ (/ 1/2 N) 1) (* (log N) (+ 1 N))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 201 of 264 * [enter]simplify: Simplifying (- (- (- (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1)))) (+ (log N) (* (log N) N))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (log -1) N) 1) (- (+ (log -1) (/ 1/2 N)) (* (log N) (+ N 1)))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (+ (+ (* (log -1) N) 1) (- (+ (log -1) (/ 1/2 N)) (* (log N) (+ N 1)))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 202 of 264 * [enter]simplify: Simplifying (- (- (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (/ (+ N 1) (/ (- N 1) (- N 1)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (/ (+ N 1) (/ (- N 1) (- N 1)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 203 of 264 * [enter]simplify: Simplifying (- (- (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) (* -1 (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (/ (- N 1) (/ (- N 1) (+ N 1))) (log (+ N 1))) (+ 1 (* (log N) (- N)))) * [misc]none: prog is (λ (N) (- (* (/ (- N 1) (/ (- N 1) (+ N 1))) (log (+ N 1))) (+ 1 (* (log N) (- N))))) * * * [misc]progress: simplifying alt 204 of 264 * [enter]simplify: Simplifying (- (- (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) (* N (- (log -1) (log N)))) 1) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (/ (+ N 1) (/ (- N 1) (- N 1)))) (+ 1 (* N (- (log -1) (log N))))) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (/ (+ N 1) (/ (- N 1) (- N 1)))) (+ 1 (* N (- (log -1) (log N)))))) * * * [misc]progress: simplifying alt 205 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (+ N (* (* N N) 1/2)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (+ N (* (* N N) 1/2)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 206 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (+ (/ (log (/ 1 N)) N) (* (log N) N)))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1/2 N) 1) (log N)) (+ (- (/ (log N) N)) (+ 1 (* N (log N))))) * [misc]none: prog is (λ (N) (- (- (+ (/ 1/2 N) 1) (log N)) (+ (- (/ (log N) N)) (+ 1 (* N (log N)))))) * * * [misc]progress: simplifying alt 207 of 264 * [enter]simplify: Simplifying (- (- (+ (/ (log (/ -1 N)) N) (+ 1 (+ (* (log -1) N) (+ (* 1/2 (/ 1 N)) (log -1))))) (+ (* (log N) N) (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (+ (/ (log (/ -1 N)) N) (+ (log -1) (+ (+ 1 (/ 1/2 N)) (* (log -1) N)))) (+ (* N (log N)) (+ (log N) 1))) * [misc]none: prog is (λ (N) (- (+ (/ (log (/ -1 N)) N) (+ (log -1) (+ (+ 1 (/ 1/2 N)) (* (log -1) N)))) (+ (* N (log N)) (+ (log N) 1)))) * * * [misc]progress: simplifying alt 208 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (cube (cbrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 209 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (cube (cbrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 210 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (cube (cbrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ 1/2 (sqr N))) (log N))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ 1/2 (sqr N))) (log N))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 211 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (cube (cbrt (* (log N) N)))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 212 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (cube (cbrt (/ (log (/ 1 N)) N)))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (- (/ (log N) N))) 1) * [misc]none: prog is (λ (N) (- (- (* (log (+ N 1)) (+ N 1)) (- (/ (log N) N))) 1)) * * * [misc]progress: simplifying alt 213 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (cube (cbrt (* -1 (/ (log (/ -1 N)) N))))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (/ -1 N) (log (/ -1 N))) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (/ -1 N) (log (/ -1 N))) 1))) * * * [misc]progress: simplifying alt 214 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 215 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (/ (log (/ 1 N)) N)) 1) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ N 1)) (+ N 1)) (- (/ (log N) N))) 1) * [misc]none: prog is (λ (N) (- (- (* (log (+ N 1)) (+ N 1)) (- (/ (log N) N))) 1)) * * * [misc]progress: simplifying alt 216 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* -1 (/ (log (/ -1 N)) N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ 1 (/ (log (/ -1 N)) (/ N -1)))) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ 1 (/ (log (/ -1 N)) (/ N -1))))) * * * [misc]progress: simplifying alt 217 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (* (log N) N)) (- (+ (* +nan.0 (* (pow (log N) 3) (pow N 3))) (- (* +nan.0 (sqr N)))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 218 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ 1 (* (sqrt (- (log N))) N))) (- (+ (* +nan.0 (/ (sqrt (- (log N))) N)) (- (+ (* +nan.0 (sqrt (- (log N)))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqrt (- (log N))) (sqr N))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt (- (log N))) 3) (sqr N)))) (- (* +nan.0 (/ 1 (* (sqrt (- (log N))) (sqr N)))))))))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 219 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (log -1)) (- (+ (* +nan.0 (sqrt (- (log -1) (log N)))) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (* (/ 1 N) (sqrt (/ 1 (- (log -1) (log N)))))) (- (+ (* +nan.0 (* (/ 1 (sqr N)) (sqrt (/ 1 (pow (- (log -1) (log N)) 3))))) (- (+ (* +nan.0 (* (/ 1 (sqr N)) (sqrt (- (log -1) (log N))))) (- (+ (* +nan.0 (* (/ 1 N) (sqrt (- (log -1) (log N))))) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (* (/ 1 (sqr N)) (sqrt (/ 1 (- (log -1) (log N)))))) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N))))))))))))))))))))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 220 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))))) (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (- (* (sqrt (+ (- N (* 1/2 (sqr N))) (* (* 1/3 N) (sqr N)))) (sqrt (+ N 1))) (sqrt (* (log N) N))) (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))))) 1) * [misc]none: prog is (λ (N) (- (* (- (* (sqrt (+ (- N (* 1/2 (sqr N))) (* (* 1/3 N) (sqr N)))) (sqrt (+ N 1))) (sqrt (* (log N) N))) (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))))) 1)) * * * [misc]progress: simplifying alt 221 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* (- (* (sqrt (+ N 1)) (sqrt (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)))) (sqrt (* (log N) N))) (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))))) 1) * [misc]none: prog is (λ (N) (- (* (- (* (sqrt (+ N 1)) (sqrt (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)))) (sqrt (* (log N) N))) (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))))) 1)) * * * [misc]progress: simplifying alt 222 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (* (- (* (sqrt (+ N 1)) (sqrt (- (- (log -1) (/ (/ 1/2 N) N)) (- (log N) (/ 1 N))))) (sqrt (* (log N) N))) (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))))) 1) * [misc]none: prog is (λ (N) (- (* (- (* (sqrt (+ N 1)) (sqrt (- (- (log -1) (/ (/ 1/2 N) N)) (- (log N) (/ 1 N))))) (sqrt (* (log N) N))) (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))))) 1)) * * * [misc]progress: simplifying alt 223 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (+ N 1)) (* (sqrt (- (+ N (* 1/3 (cube N))) (* 1/2 (sqr N)))) (- (* (sqrt (log (+ N 1))) (sqrt (+ N 1))) (sqrt (* (log N) N))))) (- (* (sqrt (* (log N) N)) (- (* (sqrt (log (+ N 1))) (sqrt (+ N 1))) (sqrt (* (log N) N)))) 1)) * [misc]none: prog is (λ (N) (+ (* (sqrt (+ N 1)) (* (sqrt (- (+ N (* 1/3 (cube N))) (* 1/2 (sqr N)))) (- (* (sqrt (log (+ N 1))) (sqrt (+ N 1))) (sqrt (* (log N) N))))) (- (* (sqrt (* (log N) N)) (- (* (sqrt (log (+ N 1))) (sqrt (+ N 1))) (sqrt (* (log N) N)))) 1))) * * * [misc]progress: simplifying alt 224 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* (+ (* (sqrt (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (sqrt (+ N 1))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1) * [misc]none: prog is (λ (N) (- (* (+ (* (sqrt (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (sqrt (+ N 1))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1)) * * * [misc]progress: simplifying alt 225 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N))))))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (+ N 1)) (* (sqrt (+ (- (- (log -1) (log N)) (/ (/ 1/2 N) N)) (/ 1 N))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))))) (- (* (sqrt (* N (log N))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1)) * [misc]none: prog is (λ (N) (+ (* (sqrt (+ N 1)) (* (sqrt (+ (- (- (log -1) (log N)) (/ (/ 1/2 N) N)) (/ 1 N))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))))) (- (* (sqrt (* N (log N))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N))))) 1))) * * * [misc]progress: simplifying alt 226 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (- (+ (* +nan.0 (* (sqr (log N)) (sqr N))) (- (+ (* +nan.0 (* (log N) N)) (- (* +nan.0 (* (pow (log N) 3) (pow N 3)))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 227 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (log N)) (- (* +nan.0 (/ (pow (log N) 3) (sqr N)))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 228 of 264 * [enter]simplify: Simplifying (- (* (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (- (+ (* +nan.0 (/ (pow (log -1) 3) (sqr N))) (- (+ (* +nan.0 (/ (sqr (log N)) N)) (- (+ (* +nan.0 (/ (* (log N) (log -1)) N)) (- (+ (* +nan.0 (/ (sqr (log -1)) N)) (- (+ (* +nan.0 (/ (* (sqr (log N)) (log -1)) (sqr N))) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (/ (pow (log N) 3) (sqr N))) (- (+ (* +nan.0 (log -1)) (- (* +nan.0 (/ (* (log N) (sqr (log -1))) (sqr N)))))))))))))))))))))) 1) * [misc]none: prog is (λ (N) +nan.0) * * * [misc]progress: simplifying alt 229 of 264 * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (- (- N (* N (log N))) (+ (* (cube N) 1/6) 1)) (* (* N N) 1/2)) * [misc]none: prog is (λ (N) (+ (- (- N (* N (log N))) (+ (* (cube N) 1/6) 1)) (* (* N N) 1/2))) * * * [misc]progress: simplifying alt 230 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (- (- (/ 1/2 N) (/ 1/6 (* N N))) (+ (log N) 1)) 1) * [misc]none: prog is (λ (N) (+ (- (- (/ 1/2 N) (/ 1/6 (* N N))) (+ (log N) 1)) 1)) * * * [misc]progress: simplifying alt 231 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1))) * * * [misc]progress: simplifying alt 232 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (exp (log (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N)))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N)))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 233 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (exp (log (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 234 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (exp (log (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (log -1) (log N)) (- (/ (/ 1/2 N) N) (/ 1 N)))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 235 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (- (+ (* 1/3 (cube N)) N) (* 1/2 (sqr N))) (+ N 1)) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 236 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 237 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ 1/2 (sqr N))) (log N))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (- (- (+ (log -1) (/ 1 N)) (/ 1/2 (sqr N))) (log N))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 238 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (exp (log (log (+ N 1))))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 239 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (exp (log (log (+ N 1))))) (* -1 (* (log N) N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1))) * * * [misc]progress: simplifying alt 240 of 264 * [enter]simplify: Simplifying (- (- (* (+ N 1) (exp (log (log (+ N 1))))) (* N (- (log -1) (log N)))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (- (log -1) (log N))) 1)) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ (* N (- (log -1) (log N))) 1))) * * * [misc]progress: simplifying alt 241 of 264 * [enter]simplify: Simplifying (- (exp (log (- (+ (* 1/2 (sqr N)) N) (+ (* 1/6 (pow N 3)) (* (log N) N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* (* N N) 1/2) (- (- N (* (cube N) 1/6)) (+ (* N (log N)) 1))) * [misc]none: prog is (λ (N) (+ (* (* N N) 1/2) (- (- N (* (cube N) 1/6)) (+ (* N (log N)) 1)))) * * * [misc]progress: simplifying alt 242 of 264 * [enter]simplify: Simplifying (- (exp (log (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))))) 1) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ 1 (- (- (- (/ 1/2 N) (log N)) (/ 1/6 (* N N))) 1)) * [misc]none: prog is (λ (N) (+ 1 (- (- (- (/ 1/2 N) (log N)) (/ 1/6 (* N N))) 1))) * * * [misc]progress: simplifying alt 243 of 264 * [enter]simplify: Simplifying (- (exp (log (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 N) 1) (log -1)) (+ (/ (/ 1/6 N) N) (+ (log N) 1))) * [misc]none: prog is (λ (N) (- (+ (+ (/ 1/2 N) 1) (log -1)) (+ (/ (/ 1/6 N) N) (+ (log N) 1)))) * * * [misc]progress: simplifying alt 244 of 264 * [enter]simplify: Simplifying (- (exp (log (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N)))) (+ N 1)) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (* (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N)))) (+ N 1)) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 245 of 264 * [enter]simplify: Simplifying (- (exp (log (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 246 of 264 * [enter]simplify: Simplifying (- (exp (log (- (* (+ N 1) (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (+ (/ 1 N) (- (- (log -1) (log N)) (/ (/ 1/2 N) N)))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (+ (/ 1 N) (- (- (log -1) (log N)) (/ (/ 1/2 N) N)))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 247 of 264 * [enter]simplify: Simplifying (- (- (+ (exp (+ (log (- 1 (log N))) (log N))) (* 1/2 (/ (* (exp (+ (log (- 1 (log N))) (log N))) N) (- 1 (log N))))) (* 1/6 (/ (* (exp (+ (log (- 1 (log N))) (log N))) (sqr N)) (- 1 (log N))))) 1) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (/ (* (- 1 (log N)) N) (/ (- 1 (log N)) N))) (- (- (* (- 1 (log N)) N) 1) (* (/ (* (- 1 (log N)) N) (/ (- 1 (log N)) (* N N))) 1/6))) * [misc]none: prog is (λ (N) (+ (* 1/2 (/ (* (- 1 (log N)) N) (/ (- 1 (log N)) N))) (- (- (* (- 1 (log N)) N) 1) (* (/ (* (- 1 (log N)) N) (/ (- 1 (log N)) (* N N))) 1/6)))) * * * [misc]progress: simplifying alt 248 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (- (- (/ 1/2 N) (/ 1/6 (* N N))) (+ (log N) 1)) 1) * [misc]none: prog is (λ (N) (+ (- (- (/ 1/2 N) (/ 1/6 (* N N))) (+ (log N) 1)) 1)) * * * [misc]progress: simplifying alt 249 of 264 * [enter]simplify: Simplifying (- (- (+ 1 (+ (* 1/2 (/ 1 N)) (log -1))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1)) * [misc]none: prog is (λ (N) (- (+ (+ (/ 1/2 N) 1) (- (log -1) (log N))) (+ (/ (/ 1/6 N) N) 1))) * * * [misc]progress: simplifying alt 250 of 264 * [enter]simplify: Simplifying (- (exp (log (- (* (+ N 1) (log (+ N 1))) (* (log N) N)))) 1) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 251 of 264 * [enter]simplify: Simplifying (- (exp (log (- (* (+ N 1) (log (+ N 1))) (* -1 (* (log N) N))))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* (- N) (log N)) 1)) * [misc]none: prog is (λ (N) (- (* (+ N 1) (log (+ N 1))) (+ (* (- N) (log N)) 1))) * * * [misc]progress: simplifying alt 252 of 264 * [enter]simplify: Simplifying (- (exp (log (- (* (+ N 1) (log (+ N 1))) (* N (- (log -1) (log N)))))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ 1 (* N (- (log -1) (log N))))) * [misc]none: prog is (λ (N) (- (* (log (+ N 1)) (+ N 1)) (+ 1 (* N (- (log -1) (log N)))))) * * * [misc]progress: simplifying alt 253 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 254 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 255 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (cbrt (* (* (cube (- 1 (/ 1 N))) (log (- 1 (/ 1 N)))) (* (log (- 1 (/ 1 N))) (log (- 1 (/ 1 N)))))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (cbrt (* (* (cube (- 1 (/ 1 N))) (log (- 1 (/ 1 N)))) (* (log (- 1 (/ 1 N))) (log (- 1 (/ 1 N)))))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 256 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (cbrt (* (cube (+ 1 N)) (cube (log (+ 1 N))))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 257 of 264 * [enter]simplify: Simplifying (- (+ (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (* (log N) N)) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (- (* N (log N)) 1)) * [misc]none: prog is (λ (N) (+ (cbrt (* (cube (+ 1 (/ 1 N))) (cube (log (+ 1 (/ 1 N)))))) (- (* N (log N)) 1))) * * * [misc]progress: simplifying alt 258 of 264 * [enter]simplify: Simplifying (- (- (+ (* (log N) N) (cbrt (* (cube (log (- 1 (/ 1 N)))) (cube (- 1 (/ 1 N)))))) (* (log -1) N)) 1) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (cbrt (* (* (cube (- 1 (/ 1 N))) (log (- 1 (/ 1 N)))) (sqr (log (- 1 (/ 1 N)))))) (- (* (log N) N) (+ (* (log -1) N) 1))) * [misc]none: prog is (λ (N) (+ (cbrt (* (* (cube (- 1 (/ 1 N))) (log (- 1 (/ 1 N)))) (sqr (log (- 1 (/ 1 N)))))) (- (* (log N) N) (+ (* (log -1) N) 1)))) * * * [misc]progress: simplifying alt 259 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ N 1)) (cube (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (cbrt (* (* (cube (+ N 1)) (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N))))) (* (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N)))) (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N))))))) (+ 1 (* (log N) N))) * [misc]none: prog is (λ (N) (- (cbrt (* (* (cube (+ N 1)) (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N))))) (* (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N)))) (- N (- (* 1/2 (sqr N)) (* 1/3 (cube N))))))) (+ 1 (* (log N) N)))) * * * [misc]progress: simplifying alt 260 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ N 1)) (cube (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (cbrt (* (cube (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (cube (+ N 1)))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (cbrt (* (cube (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N)))) (cube (+ N 1)))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 261 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ N 1)) (cube (- (+ (/ 1 N) (log -1)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (cbrt (* (* (cube (+ N 1)) (- (+ (/ 1 N) (log -1)) (+ (log N) (/ (/ 1/2 N) N)))) (sqr (- (+ (/ 1 N) (log -1)) (+ (log N) (/ (/ 1/2 N) N)))))) (+ 1 (* N (log N)))) * [misc]none: prog is (λ (N) (- (cbrt (* (* (cube (+ N 1)) (- (+ (/ 1 N) (log -1)) (+ (log N) (/ (/ 1/2 N) N)))) (sqr (- (+ (/ 1 N) (log -1)) (+ (log N) (/ (/ 1/2 N) N)))))) (+ 1 (* N (log N))))) * * * [misc]progress: simplifying alt 262 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ N 1)) (cube (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (cbrt (* (* (cube (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1))))) (+ (* (log N) N) 1)) * [misc]none: prog is (λ (N) (- (cbrt (* (* (cube (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1))))) (+ (* (log N) N) 1))) * * * [misc]progress: simplifying alt 263 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ N 1)) (cube (log (+ 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (cbrt (* (cube (+ N 1)) (cube (log (+ (/ 1 N) 1))))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (cbrt (* (cube (+ N 1)) (cube (log (+ (/ 1 N) 1))))) (+ (* N (log N)) 1))) * * * [misc]progress: simplifying alt 264 of 264 * [enter]simplify: Simplifying (- (- (cbrt (* (cube (+ N 1)) (cube (log (- 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (cbrt (* (cube (+ N 1)) (cube (log (- 1 (/ 1 N)))))) (+ (* N (log N)) 1)) * [misc]none: prog is (λ (N) (- (cbrt (* (cube (+ N 1)) (cube (log (- 1 (/ 1 N)))))) (+ (* N (log N)) 1))) * [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 (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 (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ 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 (45 enodes) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * [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 (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ N 1))) * [exit]simplify: Simplified to (cube (log (+ N 1))) * [enter]simplify: Simplifying (- (/ (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* N N) (* (log N) (log N)))) (+ (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (- (/ (* (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 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 (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [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 (log N)) (log N)) * [exit]simplify: Simplified to (+ (log (log 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 (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [enter]simplify: Simplifying (+ (* (log N) (- N)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (+ 1 (* (log N) (- N))) * [exit]simplify: Simplified to (+ 1 (* (log N) (- N))) * [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)))) * [enter]simplify: Simplifying (cube (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [enter]simplify: Simplifying (* N (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (log N) N) * [exit]simplify: Simplified to (* (log N) N) * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (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 (- (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 (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 (cbrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * [enter]simplify: Simplifying (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (* (sqrt (+ N 1)) (sqrt (log (+ N 1))))) * [exit]simplify: Simplified to (+ (sqrt (* (log N) 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 (* (log N) N))) * [exit]simplify: Simplified to (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (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) (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 (47 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)))) * [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 (93 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (cube (+ N 1)) (cube (log (+ N 1)))) * [exit]simplify: Simplified to (* (cube (+ N 1)) (cube (log (+ N 1)))) * [enter]simplify: Simplifying (- (/ (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)) (/ (+ (* (+ N 1) (log (+ N 1))) (* N (log N))) (* (- (- (/ 1 N) (log N)) (/ 1/2 (sqr N))) (+ N 1)))) (+ 1 (/ (sqr (* N (log N))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (- (/ (* (* (- (- (/ 1 N) (log N)) (/ 1/2 (* N N))) (+ 1 N)) (* (- (- (/ 1 N) (log N)) (/ 1/2 (* N N))) (+ 1 N))) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) (+ (/ (sqr (* (log N) N)) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) 1))