* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* (+ 1 n) (log (+ 1 n))) (+ (* (log n) n) 1)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (* (+ n 1) (log (+ n 1))) (* n (log n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ n 1) (log (+ n 1))) (* n (log n))) in n * [misc]taylor: Taking taylor expansion of (* (+ n 1) (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (log n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ n 1) (log (+ n 1))) (* n (log n))) in n * [misc]taylor: Taking taylor expansion of (* (+ n 1) (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (log n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log n))) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log n))) into (- 1 (log n)) * [misc]backup-simplify: Simplify (- 1 (log n)) into (- 1 (log n)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow n 3)) (+ (* 1/2 (sqr n)) (* (- 1 (log n)) n))) into (- (+ (* 1/2 (sqr n)) n) (+ (* n (log n)) (* 1/6 (pow n 3)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 n) 1) (log (+ (/ 1 n) 1))) (* (/ 1 n) (log (/ 1 n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 n) 1) (log (+ (/ 1 n) 1))) (* (/ 1 n) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 n) 1) (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 n) 1) (log (+ (/ 1 n) 1))) (* (/ 1 n) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 n) 1) (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log n))) into (* -1 (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log n))) into (* -1 (log n)) * [misc]backup-simplify: Simplify (- (* -1 (log n))) into (log n) * [misc]backup-simplify: Simplify (+ (* -1 (log n)) (log n)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log n)))) into (- 1 (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1 (log n)) 0) into (- 1 (log n)) * [misc]backup-simplify: Simplify (- 1 (log n)) into (- 1 (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log n))))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log n)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 n))) (+ (* 1/2 (/ 1 n)) (- 1 (log n)))) into (- (+ 1 (* 1/2 (/ 1 n))) (+ (log n) (* 1/6 (/ 1 (sqr n))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) (* (/ 1 (- n)) (log (/ 1 (- n))))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) (* (/ 1 (- n)) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) (* (/ 1 (- n)) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log n)))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log n))) (- (log -1) (log n))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log n)))) into (- (+ 1 (log -1)) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log n)) 0) into (- (+ 1 (log -1)) (log n)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log n)) into (- (+ 1 (log -1)) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log n))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 -1/3) (+ (* 1 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log n)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- n)))) (+ (* -1/2 (/ 1 (- n))) (- (+ 1 (log -1)) (log n)))) into (- (+ 1 (+ (* 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 (- (+ n (* 1/3 (pow n 3))) (* 1/2 (sqr n))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 n) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 n))) (+ (* 1 (/ 1 n)) (- (log n)))) into (- (/ 1 n) (+ (log n) (* 1/2 (/ 1 (sqr n))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- n)))) (+ (* -1 (/ 1 (- n))) (- (log -1) (log n)))) into (- (+ (log -1) (/ 1 n)) (+ (log n) (* 1/2 (/ 1 (sqr n))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* n (log n)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* n (log n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (log n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log n))) into (log n) * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log n) n) into (* n (log n)) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log n))) into (* -1 (log n)) * [misc]backup-simplify: Simplify (* -1 (log n)) into (* -1 (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (log n)) (/ 1 (/ 1 n))) into (* -1 (* n (log n))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (- (log -1) (log n))) (/ 1 (/ 1 (- n)))) into (* 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))) (+ (* n (log n)) (log n))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- n)) 1) (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log n)))) into (- (+ 1 (log -1)) (log n)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log n)) into (- (+ 1 (log -1)) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log n))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- n))) (+ (- (+ 1 (log -1)) (log n)) (* (* -1 (- (log -1) (log n))) (/ 1 (/ 1 (- n)))))) into (- (+ (* n (log -1)) (+ 1 (+ (* 1/2 (/ 1 n)) (log -1)))) (+ (log n) (* n (log n)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr n)) n) (+ (* n (log n)) (* 1/6 (pow n 3)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (- (- (- n (* (log n) n)) (* (sqr n) (- (* 1/6 n) 1/2))) 1) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 n))) (+ (log n) (* 1/6 (/ 1 (sqr n))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 n) (log n)) (/ (/ 1/6 n) n)) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (+ (* 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 (+ (/ 1/2 n) (log -1))) (+ (/ 1/6 (* n n)) (+ (log n) 1))) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ n 1) (- (+ n (* 1/3 (pow n 3))) (* 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 (78 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* n n) (- (* 1/3 n) 1/2)) (+ 1 n)) (- (+ n (* 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 (72 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (* n (- (- (/ 1 n) (log n)) (/ (/ 1/2 n) n))) (- (- (- (/ 1 n) (log n)) (/ (/ 1/2 n) n)) (+ (* n (log n)) 1))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ n 1) (- (+ (log -1) (/ 1 n)) (+ (log n) (* 1/2 (/ 1 (sqr n)))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (+ (/ (+ 1 n) n) (* (- (- (log -1) (log n)) (/ 1/2 (* n n))) (+ 1 n))) (+ (* (log n) n) 1)) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* (+ 1 n) (log (+ 1 n))) (+ (* (log n) n) 1)) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* -1 (* n (log n)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 n)) (+ 1 n)) (+ (* (- n) (log n)) 1)) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* 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 (46 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 n)) (+ 1 n)) (+ 1 (* n (- (log -1) (log n))))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr n)) n) (* 1/6 (pow n 3))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- (- (* (- 1/2 (* 1/6 n)) (sqr n)) (- (* (log n) n) n)) 1) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log n)) (log n))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 n) (log n)) (* (log n) (+ n n))) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* n (log -1)) (+ 1 (+ (* 1/2 (/ 1 n)) (log -1)))) (+ (log n) (* n (log n)))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (- (- (+ (* (log -1) (+ 1 n)) (+ (/ 1/2 n) 1)) (+ (log n) (* (+ n n) (log n)))) 1) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ n 1) (log (+ n 1)))) (exp (* n (log n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (+ n 1) (log (+ n 1))) (* n (log n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (log (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n))) * [exit]simplify: Simplified to (log (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (+ n 1) (log (+ n 1))) (* n (log n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (+ n 1) (log (+ n 1))) (* n (log n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n))) * [exit]simplify: Simplified to (cbrt (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (* (+ n 1) (log (+ n 1))) (* n (log n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cube (- (* (+ 1 n) (log (+ 1 n))) (* (log n) n))) * [exit]simplify: Simplified to (cube (- (* (+ 1 n) (log (+ 1 n))) (* (log n) n))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ n 1) (log (+ n 1))) (* n (log n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n))) * [exit]simplify: Simplified to (sqrt (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (+ n 1) (log (+ n 1))) 3) (pow (* n (log n)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 n)) (+ 1 n))) (cube (* (log n) n))) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 n)) (+ 1 n))) (cube (* (log n) n))) * [enter]simplify: Simplifying (+ (sqr (* (+ n 1) (log (+ n 1)))) (+ (sqr (* n (log n))) (* (* (+ n 1) (log (+ n 1))) (* n (log n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (log (+ 1 n)) (+ 1 n)) (* (log (+ 1 n)) (+ 1 n))) (* (+ (* n (log n)) (* (log (+ 1 n)) (+ 1 n))) (* n (log n)))) * [exit]simplify: Simplified to (+ (* (* (log (+ 1 n)) (+ 1 n)) (* (log (+ 1 n)) (+ 1 n))) (* (+ (* n (log n)) (* (log (+ 1 n)) (+ 1 n))) (* n (log n)))) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* n (log n))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (log n) (- n)) * [exit]simplify: Simplified to (* (log n) (- n)) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (+ n 1) (log (+ n 1)))) (sqr (* n (log n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * [exit]simplify: Simplified to (* (+ (* n (log n)) (* (+ 1 n) (log (+ 1 n)))) (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * [exit]simplify: Simplified to (* (+ (* n (log n)) (* (+ 1 n) (log (+ 1 n)))) (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * [enter]simplify: Simplifying (+ (* (+ n 1) (log (+ n 1))) (* n (log n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (* (log (+ 1 n)) (+ 1 n)) (* (log n) n)) * [exit]simplify: Simplified to (+ (* (log (+ 1 n)) (+ 1 n)) (* (log n) n)) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (* (+ n 1) (log (+ n 1)))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (+ 1 n) (log (+ 1 n)))) (sqrt (* n (log n)))) * [exit]simplify: Simplified to (+ (sqrt (* (+ 1 n) (log (+ 1 n)))) (sqrt (* n (log n)))) * [enter]simplify: Simplifying (- (sqrt (* (+ n 1) (log (+ n 1)))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ 1 n) (log (+ 1 n)))) (sqrt (* n (log n)))) * [exit]simplify: Simplified to (- (sqrt (* (+ 1 n) (log (+ 1 n)))) (sqrt (* n (log n)))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (+ n 1)) (sqrt (log (+ n 1)))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log n) n)) (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n))))) * [exit]simplify: Simplified to (+ (sqrt (* (log n) n)) (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n))))) * [enter]simplify: Simplifying (- (* (sqrt (+ n 1)) (sqrt (log (+ n 1)))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n)))) (sqrt (* (log n) n))) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n)))) (sqrt (* (log n) n))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ n 1) (log (+ n 1))) (* n (log n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n)) * [exit]simplify: Simplified to (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n)) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ n 1)) (+ n 1)) (* n (log n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n)) * [exit]simplify: Simplified to (- (* (log (+ 1 n)) (+ 1 n)) (* (log n) n)) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 n)) * [exit]simplify: Simplified to (log (+ 1 n)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow n 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ 1 (cube n))) * [exit]simplify: Simplified to (log (+ 1 (cube n))) * [enter]simplify: Simplifying (log (+ (sqr n) (- (sqr 1) (* n 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (* n n) (- 1 n))) * [exit]simplify: Simplified to (log (+ (* n n) (- 1 n))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr n) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (* n n) 1)) * [exit]simplify: Simplified to (log (- (* n n) 1)) * [enter]simplify: Simplifying (log (- n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- n 1)) * [exit]simplify: Simplified to (log (- n 1)) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 n)) * [exit]simplify: Simplified to (log (+ 1 n)) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 n))) * [exit]simplify: Simplified to (log (log (+ 1 n))) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 n) * [exit]simplify: Simplified to (+ 1 n) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 n))) * [exit]simplify: Simplified to (cbrt (log (+ 1 n))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 n))) * [exit]simplify: Simplified to (cube (log (+ 1 n))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* n (log n))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (log n) (log (log n))) * [exit]simplify: Simplified to (+ (log n) (log (log n))) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (log n))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (pow n n) * [exit]simplify: Simplified to (pow n n) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* n (log n))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (log n) n)) * [exit]simplify: Simplified to (cbrt (* (log n) n)) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* n (log n))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cube (* (log n) n)) * [exit]simplify: Simplified to (cube (* (log n) n)) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* n (log n))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (* (log n) n)) * [exit]simplify: Simplified to (sqrt (* (log n) n)) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* n 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to n * [exit]simplify: Simplified to n * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n 1) (log (+ n 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ n 1)) (log (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (+ 1 n)) (log (log (+ 1 n)))) * [exit]simplify: Simplified to (+ (log (+ 1 n)) (log (log (+ 1 n)))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (log (* (log (+ 1 n)) (+ 1 n))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (pow (+ 1 n) (+ 1 n)) * [exit]simplify: Simplified to (pow (+ 1 n) (+ 1 n)) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (+ n 1)) (cube (log (+ n 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (* (cube (+ 1 n)) (log (+ 1 n))) (* (log (+ 1 n)) (log (+ 1 n)))) * [exit]simplify: Simplified to (* (* (cube (+ 1 n)) (log (+ 1 n))) (* (log (+ 1 n)) (log (+ 1 n)))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 n)) (+ 1 n))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (cube (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (cube (* (log (+ 1 n)) (+ 1 n))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 n)) (cbrt (log (+ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 n)) (cbrt (log (+ 1 n)))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 n)) (+ 1 n))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ n 1)) (sqrt (log (+ n 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n)))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n 1) (log 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (log 1) (+ 1 n)) * [exit]simplify: Simplified to (* (log 1) (+ 1 n)) * [enter]simplify: Simplifying (* (+ n 1) (log (+ n 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (+ n 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (+ 1 n) (log 1)) * [exit]simplify: Simplified to (* (+ 1 n) (log 1)) * [enter]simplify: Simplifying (* (log (+ n 1)) (+ n 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ 1 n) * [exit]simplify: Simplified to (+ 1 n) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ 1 n) * [exit]simplify: Simplified to (+ 1 n) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n 1) (log (+ n 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * [exit]simplify: Simplified to (* (log (+ 1 n)) (+ 1 n)) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow n 3) (pow 1 3)) (log (+ n 1))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (+ 1 (cube n)) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ 1 (cube n)) (log (+ n 1))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr n) (sqr 1)) (log (+ n 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (log (+ n 1)) (- (* n n) 1)) * [exit]simplify: Simplified to (* (log (+ n 1)) (- (* n n) 1)) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (+ 1 n)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 n)) in n * [misc]taylor: Taking taylor expansion of (+ 1 n) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 n)) in n * [misc]taylor: Taking taylor expansion of (+ 1 n) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow n 3)) (+ (* -1/2 (sqr n)) (* 1 n))) into (- (+ n (* 1/3 (pow n 3))) (* 1/2 (sqr n))) * [misc]approximate: Taking taylor expansion of (log (+ 1 (/ 1 n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 n))) (+ (* 1 (/ 1 n)) (- (log n)))) into (- (/ 1 n) (+ (log n) (* 1/2 (/ 1 (sqr n))))) * [misc]approximate: Taking taylor expansion of (log (+ 1 (/ 1 (- n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- n)))) (+ (* -1 (/ 1 (- n))) (- (log -1) (log n)))) into (- (+ (log -1) (/ 1 n)) (+ (log n) (* 1/2 (/ 1 (sqr n))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [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]taylor: Taking taylor expansion 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]taylor: Taking taylor expansion 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) 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) 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 (+ (* (- -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) 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 (- 0) 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) 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 (- 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 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -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) 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 (- 0) into 0 * [misc]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 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) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 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) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -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 (* -1 (* n (log n))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 n)) (log (/ 1 n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 n)) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 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 (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 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) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log n))) into (log n) * [misc]backup-simplify: Simplify (log n) into (log n) * [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 (/ 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) (* 0 (- (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)) (* 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 (/ 0 1)) (* 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) (+ (* 0 0) (* 0 (- (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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 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) 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 (- 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) 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) 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 (- 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 (- 0) 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) 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 (- 0) into 0 * [misc]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 (- 0) 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 (* (log n) (/ 1 (/ 1 n))) into (* n (log n)) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (- n))) (log (/ 1 (- n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- n))) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) 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 (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- -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 (/ (* (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 (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 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) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (- 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) 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 (- -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (- 0) into 0 * [misc]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 (- 0) 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 (- -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (- 0) 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 (* (- (log -1) (log n)) (/ 1 (/ 1 (- n)))) into (* -1 (* n (- (log -1) (log n)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 n) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 n)) (+ 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 n) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* -1/2 1))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* -1/2 1) (* 1/3 1)))) into -1/6 * [misc]backup-simplify: Simplify -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 (* (log (+ 1 (/ 1 n))) (+ 1 (/ 1 n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (/ 1 n))) (+ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (/ 1 n))) (+ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (- (log n)) 1) 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)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- (log n)) 1) (* 1 1)) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- (log n)) 0) (+ (* 1 1) (* -1/2 1))) into 1/2 * [misc]backup-simplify: Simplify 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))) (+ (* n (log n)) (log n))) * [misc]approximate: Taking taylor expansion of (* (log (+ 1 (/ 1 (- n)))) (+ 1 (/ 1 (- n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (/ 1 (- n)))) (+ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (/ 1 (- n)))) (+ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 0 -1) 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 (+ (* (- 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 1) (* -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 (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* -1 1) (* -1/2 -1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 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 (- (+ (* n (log -1)) (+ 1 (+ (* 1/2 (/ 1 n)) (log -1)))) (+ (log n) (* n (log n)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (+ n (* 1/3 (pow n 3))) (* 1/2 (sqr n))) (+ 1 n)) (+ (* (- n) (log n)) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ 1 n) (* n n)) (- (* 1/3 n) 1/2)) (* (+ 1 n) n)) (+ (* (- n) (log n)) 1)) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (/ 1 n) (+ (log n) (* 1/2 (/ 1 (sqr n))))) (+ 1 n)) (+ (* (- n) (log n)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (+ (* (- (- (/ 1 n) (log n)) (/ 1/2 (sqr n))) n) (- (- (- (/ 1 n) (log n)) (/ 1/2 (sqr n))) (+ 1 (* (- n) (log n))))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (+ (log -1) (/ 1 n)) (+ (log n) (* 1/2 (/ 1 (sqr n))))) (+ 1 n)) (+ (* (- n) (log n)) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (+ (* (+ n 1) (- (- (/ 1 n) (log n)) (/ (/ 1/2 n) n))) (- (- (* (+ n 1) (log -1)) (* (- n) (log n))) 1)) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ 1 n)) (+ 1 n)) (+ (* -1 (* n (log n))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (* (log (+ n 1)) (+ n 1)) (+ (* (- n) (log n)) 1)) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ 1 n)) (+ 1 n)) (+ (* n (log n)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ n 1)) (+ n 1)) (+ (* (log n) n) 1)) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ 1 n)) (+ 1 n)) (+ (* -1 (* n (- (log -1) (log n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (- (* (+ n 1) (log (+ n 1))) 1) (* (- (log -1) (log n)) (- n))) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr n)) n) (* 1/6 (pow n 3))) (+ (* (- n) (log n)) 1)) * * [misc]simplify: iters left: 6 (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 (- (+ (* (sqr n) (- 1/2 (* 1/6 n))) (- n 1)) (* (log n) (- n))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log n)) (log n))) (+ (* (- n) (log n)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 n) (log n)) (* (log n) (+ (- n) n))) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* n (log -1)) (+ 1 (+ (* 1/2 (/ 1 n)) (log -1)))) (+ (log n) (* n (log n)))) (+ (* (- n) (log n)) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (- (+ (* (log -1) (+ 1 n)) (+ (/ 1/2 n) 1)) (+ 1 (* (+ (- n) (+ 1 n)) (log n)))) * * * * [misc]progress: [ 10 / 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 (+ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ n 1)) * [exit]simplify: Simplified to (log (+ n 1)) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ (cube n) 1)) * [exit]simplify: Simplified to (log (+ (cube n) 1)) * [enter]simplify: Simplifying (log (+ (sqr 1) (- (sqr n) (* 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (log (- (* n n) (- n 1))) * [exit]simplify: Simplified to (log (- (* n n) (- n 1))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr 1) (sqr n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- 1 (* n n))) * [exit]simplify: Simplified to (log (- 1 (* n n))) * [enter]simplify: Simplifying (log (- 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- 1 n)) * [exit]simplify: Simplified to (log (- 1 n)) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ n 1)) * [exit]simplify: Simplified to (log (+ n 1)) * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ 1 n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ n 1))) * [exit]simplify: Simplified to (log (log (+ n 1))) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ 1 n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ n 1) * [exit]simplify: Simplified to (+ n 1) * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ 1 n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ n 1))) * [exit]simplify: Simplified to (cbrt (log (+ n 1))) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ 1 n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ n 1))) * [exit]simplify: Simplified to (cube (log (+ n 1))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ 1 n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ n 1))) * [exit]simplify: Simplified to (sqrt (log (+ n 1))) * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- n) (log 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: [ 22 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- n)) (log (log n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (+ (log (log n)) (log (- n))) * [exit]simplify: Simplified to (+ (log (log n)) (log (- n))) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- n) (log 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: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- n) (log n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (pow n (- n)) * [exit]simplify: Simplified to (pow n (- n)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (- n)) (cube (log n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (- (cube n)) (cube (log n))) * [exit]simplify: Simplified to (* (- (cube n)) (cube (log n))) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- n) (log 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: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (- n) (log 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 (91 enodes) * [exit]simplify: Simplified to (cube (* (log n) (- n))) * [exit]simplify: Simplified to (cube (* (log n) (- n))) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- n)) (cbrt (log 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: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- n) (log 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: [ 31 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- n)) (sqrt (log 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: [ 32 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 57 ] simplifiying candidate # * [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) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- n) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- n) * [exit]simplify: Simplified to (- n) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- n) (log 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: [ 36 / 57 ] simplifiying candidate # * [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) * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) (+ 1 n)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log (+ 1 n))) (log (+ 1 n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (+ n 1)) (log (log (+ n 1)))) * [exit]simplify: Simplified to (+ (log (+ n 1)) (log (log (+ n 1)))) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (log (+ 1 n)) (+ 1 n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 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: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log (+ 1 n)) (+ 1 n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (pow (+ n 1) (+ n 1)) * [exit]simplify: Simplified to (pow (+ n 1) (+ n 1)) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (log (+ 1 n))) (cube (+ 1 n))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (* (log (+ n 1)) (cube (+ n 1))) (sqr (log (+ n 1)))) * [exit]simplify: Simplified to (* (* (log (+ n 1)) (cube (+ n 1))) (sqr (log (+ n 1)))) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (log (+ 1 n)) (+ 1 n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ n 1)) (+ n 1))) * [exit]simplify: Simplified to (cbrt (* (log (+ n 1)) (+ n 1))) * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (log (+ 1 n)) (+ 1 n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (cube (* (log (+ n 1)) (+ n 1))) * [exit]simplify: Simplified to (cube (* (log (+ n 1)) (+ n 1))) * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ 1 n))) (cbrt (+ 1 n))) * * [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: [ 47 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (log (+ 1 n)) (+ 1 n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ n 1)) (+ n 1))) * [exit]simplify: Simplified to (sqrt (* (log (+ n 1)) (+ n 1))) * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ 1 n))) (sqrt (+ 1 n))) * * [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: [ 49 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (+ n 1)) * [exit]simplify: Simplified to (log (+ n 1)) * [enter]simplify: Simplifying (* (log (+ 1 n)) n) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (log (+ n 1)) n) * [exit]simplify: Simplified to (* (log (+ n 1)) n) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (+ 1 n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (+ n 1)) * [exit]simplify: Simplified to (log (+ n 1)) * [enter]simplify: Simplifying (* n (log (+ 1 n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (log (+ 1 n)) n) * [exit]simplify: Simplified to (* (log (+ 1 n)) n) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (+ n 1)) * [exit]simplify: Simplified to (log (+ n 1)) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) (+ 1 n)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) (+ 1 n)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) (+ (pow 1 3) (pow n 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ (cube n) 1) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ (cube n) 1) (log (+ n 1))) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 n)) (- (sqr 1) (sqr n))) * * [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 (69 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr n)) (log (+ n 1))) * [exit]simplify: Simplified to (* (- 1 (sqr n)) (log (+ n 1))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n))) in n * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n 1)) in n * [misc]taylor: Rewrote expression to (pow (+ n 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ n 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ n 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (* 1 (pow n 1/3)) into (pow n 1/3) * [misc]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow n 1/3))) into (* 3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow n 1/3)))) into (pow (pow n 1/3) 3) * [misc]taylor: Taking taylor expansion of (* n (log n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n))) in n * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n 1)) in n * [misc]taylor: Rewrote expression to (pow (+ n 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ n 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ n 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (* 1 (pow n 1/3)) into (pow n 1/3) * [misc]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow n 1/3))) into (* 3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow n 1/3)))) into (pow (pow n 1/3) 3) * [misc]taylor: Taking taylor expansion of (* n (log n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (pow n 1/3) 3) 0) into n * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log n))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/6 (pow n 1/3))) (* 1/3 (pow n 1/3))) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (pow n 1/3))) 1)) (pow (pow n 1/3) 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 3 1/6) (* 0 (log (pow n 1/3)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow n 1/3)))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log n))) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- (log n))) into (- (* 1/2 n) (log n)) * [misc]backup-simplify: Simplify (- (* 1/2 n) (log n)) into (- (* 1/2 n) (log n)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log n)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/12 (pow n 1/3))) (+ (* 1/3 (* -1/6 (pow n 1/3))) (* -1/9 (pow n 1/3)))) into (- (* 1/12 (pow n 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (pow n 1/3))) 2)) (pow (pow n 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (pow n 1/3)))) 1)) (pow (pow n 1/3) 1)))) 2) into -7/72 * [misc]backup-simplify: Simplify (+ (* 3 -7/72) (+ (* 0 1/6) (* 0 (log (pow n 1/3))))) into (- 7/24) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow n 1/3)))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 7/24) 1) 1)))) into (* -1/6 n) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 n) 0) into (- (* 1/6 n)) * [misc]backup-simplify: Simplify (- (* 1/6 n)) into (- (* 1/6 n)) * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 n)) (sqr n)) (+ (* (- (* 1/2 n) (log n)) n) n)) into (- (+ (* 1/2 (sqr n)) n) (+ (* n (log n)) (* 1/6 (pow n 3)))) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) (* (/ 1 n) (log (/ 1 n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) (* (/ 1 n) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 n) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 n) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (log (- (log n))) into (log (- (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log n)))) into (* 1/3 (log (- (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log n))))) into (pow (- (log n)) 1/3) * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow (- (log n)) 1/3)) into (pow (/ (* -1 (log n)) n) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* -1 (log n)) n) 1/3)) into (log (pow (* -1 (/ (log n) n)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) into (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) into (pow (pow (* -1 (/ (log n) n)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) (* (/ 1 n) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 n) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 n) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (log (- (log n))) into (log (- (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log n)))) into (* 1/3 (log (- (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log n))))) into (pow (- (log n)) 1/3) * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow (- (log n)) 1/3)) into (pow (/ (* -1 (log n)) n) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* -1 (log n)) n) 1/3)) into (log (pow (* -1 (/ (log n) n)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) into (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) into (pow (pow (* -1 (/ (log n) n)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log n))) into (* -1 (log n)) * [misc]backup-simplify: Simplify (- (* -1 (log n))) into (log n) * [misc]backup-simplify: Simplify (+ 0 (log n)) into (log n) * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (pow (* -1 (/ (log n) n)) 1/3) 3) 0) into (/ (* -1 (log n)) n) * [misc]backup-simplify: Simplify (/ (* -1 (log n)) n) into (* -1 (/ (log n) n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log n)) 1)))) 1) into (/ -1 (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log n))) (* 0 (log (- (log n))))) into (- (* 1/3 (/ 1 (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log n))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log n)))) 1) 1)))) into (* -1/3 (pow (/ -1 (sqr (log n))) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log n)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* -1/3 (pow (/ -1 (sqr (log n))) 1/3))) (* (* 1/3 (pow (/ 1 n) 1/3)) (pow (- (log n)) 1/3))) into (- (* 1/3 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/3 (pow (/ -1 (* n (sqr (log n)))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/3 (pow (/ -1 (* n (sqr (log n)))) 1/3)))) 1)) (pow (pow (/ (* -1 (log n)) n) 1/3) 1)))) 1) into (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (pow (sqr -1) 1/3) (/ 1 (log n))))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (pow (sqr -1) 1/3) (/ 1 (log n)))))) (* 0 (log (pow (* -1 (/ (log n) n)) 1/3)))) into (- 1 (/ 1 (log n))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log n))) 1) 1)))) into (/ (* (- 1 (/ 1 (log n))) (* -1 (log n))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (* (- 1 (/ 1 (log n))) (* -1 (log n))) n) 0) into (- (/ 1 n) (/ (log n) n)) * [misc]backup-simplify: Simplify (- (/ 1 n) (/ (log n) n)) into (- (/ 1 n) (/ (log n) n)) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 n) (/ (log n) n)) (/ 1 n)) (+ (* -1 (/ (log n) n)) (* (log n) (/ 1 (/ 1 n))))) into (- (+ (* n (log n)) (/ 1 (sqr n))) (+ (/ (log n) n) (/ (log n) (sqr n)))) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) (* (/ 1 (- n)) (log (/ 1 (- n))))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) (* (/ 1 (- n)) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- n)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (log (- (log -1) (log n))) into (log (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log n)))) into (* 1/3 (log (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log n))))) into (pow (- (log -1) (log n)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (pow (- (log -1) (log n)) 1/3)) into (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) into (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) into (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) into (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) (* (/ 1 (- n)) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- n)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (log (- (log -1) (log n))) into (log (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log n)))) into (* 1/3 (log (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log n))))) into (pow (- (log -1) (log n)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (pow (- (log -1) (log n)) 1/3)) into (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) into (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) into (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) into (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log n))) into (* -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log n)))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) 0) into (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) into (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log n)) 1)))) 1) into (/ -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log n)))) (* 0 (log (- (log -1) (log n))))) into (- (* 1/3 (/ 1 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log n))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log n))))) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log n)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) (pow (- (log -1) (log n)) 1/3))) into (- (+ (* 1/3 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n))))))))) 1)) (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 1)))) 1) into (* -1 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) 1/3)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) 1/3))) (* 0 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) into (- (+ (/ 1 (- (log -1) (log n))) 1)) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) (+ (* (/ (pow (- (+ (/ 1 (- (log -1) (log n))) 1)) 1) 1)))) into (* -1 (* (+ (/ 1 (- (log -1) (log n))) 1) (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ (/ 1 (- (log -1) (log n))) 1) (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) 0) into (- (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (- (log -1) (log n))) (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n))) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (- (log -1) (log n))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) * [misc]backup-simplify: Simplify (- (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (- (log -1) (log n))) (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n))) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (- (log -1) (log n))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) into (- (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (- (log -1) (log n))) (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n))) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (- (log -1) (log n))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (- (log -1) (log n))) (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n))) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (- (log -1) (log n))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) (/ 1 (- n))) (+ (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (* (- (log -1) (log n)) (/ 1 (/ 1 (- n)))))) into (- (+ (* n (log n)) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) n) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (* n (- (log -1) (log n)))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (* n (- (log -1) (log n)))) (+ (* n (log -1)) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) 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 (- (+ n (* 1/3 (pow n 3))) (* 1/2 (sqr n))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 n) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 n))) (+ (* 1 (/ 1 n)) (- (log n)))) into (- (/ 1 n) (+ (log n) (* 1/2 (/ 1 (sqr n))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- n)))) (+ (* -1 (/ 1 (- n))) (- (log -1) (log n)))) into (- (+ (log -1) (/ 1 n)) (+ (log n) (* 1/2 (/ 1 (sqr n))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n 1)) in n * [misc]taylor: Rewrote expression to (pow (+ n 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ n 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ n 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (* 1 (pow n 1/3)) into (pow n 1/3) * [misc]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow n 1/3))) into (* 3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow n 1/3)))) into (pow (pow n 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n 1)) in n * [misc]taylor: Rewrote expression to (pow (+ n 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ n 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ n 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ n 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (* 1 (pow n 1/3)) into (pow n 1/3) * [misc]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow n 1/3))) into (* 3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow n 1/3)))) into (pow (pow n 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow n 1/3) 3) into (pow (pow n 1/3) 3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log n))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/6 (pow n 1/3))) (* 1/3 (pow n 1/3))) into (* 1/6 (pow n 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (pow n 1/3))) 1)) (pow (pow n 1/3) 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 3 1/6) (* 0 (log (pow n 1/3)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow n 1/3)))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log n)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow n 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/12 (pow n 1/3))) (+ (* 1/3 (* -1/6 (pow n 1/3))) (* -1/9 (pow n 1/3)))) into (- (* 1/12 (pow n 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (pow n 1/3))) 2)) (pow (pow n 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (pow n 1/3)))) 1)) (pow (pow n 1/3) 1)))) 2) into -7/72 * [misc]backup-simplify: Simplify (+ (* 3 -7/72) (+ (* 0 1/6) (* 0 (log (pow n 1/3))))) into (- 7/24) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow n 1/3)))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 7/24) 1) 1)))) into (* -1/6 n) * [misc]backup-simplify: Simplify (* -1/6 n) into (* -1/6 n) * [misc]backup-simplify: Simplify (+ (* (* -1/6 n) (sqr n)) (+ (* (* 1/2 n) n) (pow (pow n 1/3) 3))) into (- (+ (* 1/2 (sqr n)) n) (* 1/6 (pow n 3))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 n) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 n) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (log (- (log n))) into (log (- (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log n)))) into (* 1/3 (log (- (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log n))))) into (pow (- (log n)) 1/3) * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow (- (log n)) 1/3)) into (pow (/ (* -1 (log n)) n) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* -1 (log n)) n) 1/3)) into (log (pow (* -1 (/ (log n) n)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) into (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) into (pow (pow (* -1 (/ (log n) n)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) 1)) (cbrt (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 n) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 n) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 n) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (log (- (log n))) into (log (- (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log n)))) into (* 1/3 (log (- (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log n))))) into (pow (- (log n)) 1/3) * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow (- (log n)) 1/3)) into (pow (/ (* -1 (log n)) n) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* -1 (log n)) n) 1/3)) into (log (pow (* -1 (/ (log n) n)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) into (* 3 (log (pow (* -1 (/ (log n) n)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) into (pow (pow (* -1 (/ (log n) n)) 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow (* -1 (/ (log n) n)) 1/3) 3) into (pow (pow (* -1 (/ (log n) n)) 1/3) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log n)) 1)))) 1) into (/ -1 (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log n))) (* 0 (log (- (log n))))) into (- (* 1/3 (/ 1 (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log n))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log n)))) 1) 1)))) into (* -1/3 (pow (/ -1 (sqr (log n))) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log n)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* -1/3 (pow (/ -1 (sqr (log n))) 1/3))) (* (* 1/3 (pow (/ 1 n) 1/3)) (pow (- (log n)) 1/3))) into (- (* 1/3 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/3 (pow (/ -1 (* n (sqr (log n)))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/3 (pow (/ -1 (* n (sqr (log n)))) 1/3)))) 1)) (pow (pow (/ (* -1 (log n)) n) 1/3) 1)))) 1) into (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (pow (sqr -1) 1/3) (/ 1 (log n))))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (pow (sqr -1) 1/3) (/ 1 (log n)))))) (* 0 (log (pow (* -1 (/ (log n) n)) 1/3)))) into (- 1 (/ 1 (log n))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log n))) 1) 1)))) into (/ (* (- 1 (/ 1 (log n))) (* -1 (log n))) n) * [misc]backup-simplify: Simplify (/ (* (- 1 (/ 1 (log n))) (* -1 (log n))) n) into (* -1 (/ (* (- 1 (/ 1 (log n))) (log n)) n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log n)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log n)) 1)))) 2) into (* 1/2 (- (/ 1 (log n)) (/ 1 (sqr (log n))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log n)) (/ 1 (sqr (log n)))))) (+ (* 0 (/ -1 (log n))) (* 0 (log (- (log n)))))) into (- (* 1/6 (/ 1 (log n))) (* 1/6 (/ 1 (sqr (log n))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log n))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log n)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log n))) (* 1/6 (/ 1 (sqr (log n))))) 1) 1)))) into (* (- (* 1/6 (/ 1 (log n))) (* 1/9 (/ 1 (sqr (log n))))) (pow (* -1 (log n)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log n))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* (- (* 1/6 (/ 1 (log n))) (* 1/9 (/ 1 (sqr (log n))))) (pow (* -1 (log n)) 1/3))) (+ (* (* 1/3 (pow (/ 1 n) 1/3)) (* -1/3 (pow (/ -1 (sqr (log n))) 1/3))) (* (* -1/9 (pow (/ 1 n) 1/3)) (pow (- (log n)) 1/3)))) into (- (* 1/18 (pow (/ -1 (* n (sqr (log n)))) 1/3)) (+ (* 1/9 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/9 (pow (/ -1 (* n (pow (log n) 5))) 1/3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/3 (pow (/ -1 (* n (sqr (log n)))) 1/3)))) 2)) (pow (pow (/ (* -1 (log n)) n) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/18 (pow (/ -1 (* n (sqr (log n)))) 1/3)) (+ (* 1/9 (pow (/ (* -1 (log n)) n) 1/3)) (* 1/9 (pow (/ -1 (* n (pow (log n) 5))) 1/3))))) 1)) (pow (pow (/ (* -1 (log n)) n) 1/3) 1)))) 2) into (* 1/2 (- (* 1/3 (/ 1 (log n))) (+ (* 1/3 (/ 1 (sqr (log n)))) 1/3))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (* 1/3 (/ 1 (log n))) (+ (* 1/3 (/ 1 (sqr (log n)))) 1/3)))) (+ (* 0 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (pow (sqr -1) 1/3) (/ 1 (log n)))))) (* 0 (log (pow (* -1 (/ (log n) n)) 1/3))))) into (- (* 1/2 (/ 1 (log n))) (+ (* 1/2 (/ 1 (sqr (log n)))) 1/2)) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log n) n)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log n))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (log n))) (+ (* 1/2 (/ 1 (sqr (log n)))) 1/2)) 1) 1)))) into (* -1/2 (/ -1 n)) * [misc]backup-simplify: Simplify (* -1/2 (/ -1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 n) (sqr (/ 1 n))) (+ (* (* -1 (/ (* (- 1 (/ 1 (log n))) (log n)) n)) (/ 1 n)) (pow (pow (* -1 (/ (log n) n)) 1/3) 3))) into (- (+ (* 1/2 (/ 1 (pow n 3))) (/ 1 (sqr n))) (+ (/ (log n) (sqr n)) (/ (log n) n))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- n)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (log (- (log -1) (log n))) into (log (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log n)))) into (* 1/3 (log (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log n))))) into (pow (- (log -1) (log n)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (pow (- (log -1) (log n)) 1/3)) into (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) into (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) into (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) into (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) 1)) (cbrt (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- n)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- n)) 1))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (log (- (log -1) (log n))) into (log (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log n)))) into (* 1/3 (log (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log n))))) into (pow (- (log -1) (log n)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (pow (- (log -1) (log n)) 1/3)) into (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) into (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) into (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) into (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) * [misc]backup-simplify: Simplify (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) into (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log n)) 1)))) 1) into (/ -1 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log n)))) (* 0 (log (- (log -1) (log n))))) into (- (* 1/3 (/ 1 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log n))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log n))))) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log n)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) (pow (- (log -1) (log n)) 1/3))) into (- (+ (* 1/3 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n))))))))) 1)) (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 1)))) 1) into (* -1 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) 1/3)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) 1/3))) (* 0 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) into (- (+ (/ 1 (- (log -1) (log n))) 1)) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) (+ (* (/ (pow (- (+ (/ 1 (- (log -1) (log n))) 1)) 1) 1)))) into (* -1 (* (+ (/ 1 (- (log -1) (log n))) 1) (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) * [misc]backup-simplify: Simplify (* -1 (* (+ (/ 1 (- (log -1) (log n))) 1) (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) into (* -1 (* (+ (/ 1 (- (log -1) (log n))) 1) (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log n)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log n)) 1)))) 2) into (* -1/2 (+ (/ 1 (sqr (- (log -1) (log n)))) (/ 1 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (sqr (- (log -1) (log n)))) (/ 1 (- (log -1) (log n)))))) (+ (* 0 (/ -1 (- (log -1) (log n)))) (* 0 (log (- (log -1) (log n)))))) into (- (+ (* 1/6 (/ 1 (sqr (- (log -1) (log n))))) (* 1/6 (/ 1 (- (log -1) (log n)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log n))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log n))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sqr (- (log -1) (log n))))) (* 1/6 (/ 1 (- (log -1) (log n)))))) 1) 1)))) into (* -1 (* (pow (- (log -1) (log n)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log n))))) (* 1/6 (/ 1 (- (log -1) (log n))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log n))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* -1 (* (pow (- (log -1) (log n)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log n))))) (* 1/6 (/ 1 (- (log -1) (log n)))))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log n))))) (pow (- (log -1) (log n)) 1/3)))) into (- (+ (* 1/9 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log n)) 5)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/18 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n))))))))) 2)) (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/9 (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log n)) 5)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))) (* 1/18 (* (pow (/ 1 (sqr (- (log -1) (log n)))) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))))) 1)) (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 1)))) 2) into (* -1/2 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) (+ 1/3 (* 1/3 (/ 1 (sqr (- (log -1) (log n)))))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) (+ 1/3 (* 1/3 (/ 1 (sqr (- (log -1) (log n))))))))) (+ (* 0 (* -1 (+ (* 1/3 (/ 1 (- (log -1) (log n)))) 1/3))) (* 0 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))))))) into (- (+ (* 1/2 (/ 1 (- (log -1) (log n)))) (+ 1/2 (* 1/2 (/ 1 (sqr (- (log -1) (log n)))))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n)))))))) (+ (* (/ (pow (- (+ (/ 1 (- (log -1) (log n))) 1)) 2) 2)) (* (/ (pow (- (+ (* 1/2 (/ 1 (- (log -1) (log n)))) (+ 1/2 (* 1/2 (/ 1 (sqr (- (log -1) (log n)))))))) 1) 1)))) into (* 1/2 (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) * [misc]backup-simplify: Simplify (* 1/2 (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) into (* 1/2 (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (sqr (/ 1 (- n)))) (+ (* (* -1 (* (+ (/ 1 (- (log -1) (log n))) 1) (* (- (log -1) (log n)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)))) (/ 1 (- n))) (pow (* (pow (- (log -1) (log n)) 1/3) (exp (* 1/3 (- (log -1) (log n))))) 3))) into (- (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) n) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (* n (- (log -1) (log n)))) (+ (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (sqr n))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) n) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (* n (- (log -1) (log n)))) (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n 1)) in n * [misc]taylor: Rewrote expression to (pow (+ n 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ n 1)) in n * [misc]taylor: Rewrote expression to (pow (+ n 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ n 1)) in n * [misc]taylor: Taking taylor expansion of (+ n 1) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (sqr n)) (+ (* 1/3 n) 1)) into (- (+ (* 1/3 n) 1) (* 1/9 (sqr n))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]backup-simplify: Simplify (pow n -1/3) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log n)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 n) 1/3)) into (* 1/3 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log n))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 n) 1/3)) into (* -1/9 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 n) 1/3)) (sqr (/ 1 n))) (+ (* (* 1/3 (pow (/ 1 n) 1/3)) (/ 1 n)) (pow n -1/3))) into (- (+ (* 1/3 (pow (/ 1 (pow n 4)) 1/3)) (pow n -1/3)) (* 1/9 (pow (/ 1 (pow n 7)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) 1))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- n)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (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 (+ (* 1/3 -1) (* 0 (- (log -1) (log n)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log n))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log n))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log n))))) (sqr (/ 1 (- n)))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log n))))) (/ 1 (- n))) (exp (* 1/3 (- (log -1) (log n)))))) into (- (+ (exp (* 1/3 (- (log -1) (log n)))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) n))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (sqr n)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr n)) n) (+ (* n (log n)) (* 1/6 (pow n 3)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (- (- (- n (* (log n) n)) (* (sqr n) (- (* 1/6 n) 1/2))) 1) * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* n (log n)) (/ 1 (sqr n))) (+ (/ (log n) n) (/ (log n) (sqr n)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (- (+ (* (log n) n) (/ (/ 1 n) n)) (/ (log n) n)) (+ (/ (log n) (* n n)) 1)) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* n (log n)) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) n) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (* n (- (log -1) (log n)))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (* n (- (log -1) (log n)))) (+ (* n (log -1)) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) n))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (exp (* (- (log -1) (log n)) (+ (+ 1/3 1/3) 1/3))) (+ (/ (log -1) n) (log -1))) (* (log n) n)) (* (/ (exp (* (- (log -1) (log n)) (+ (+ 1/3 1/3) 1/3))) (- (log -1) (log n))) (- (/ (log -1) n) (/ (log n) n)))) (+ (+ 1 (* n (log -1))) (+ (* (exp (* (- (log -1) (log n)) (+ (+ 1/3 1/3) 1/3))) (log n)) (* (/ (log n) n) (exp (* (- (log -1) (log n)) (+ (+ 1/3 1/3) 1/3))))))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ n 1)) (cbrt (- (+ n (* 1/3 (pow n 3))) (* 1/2 (sqr n)))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 n) (* (* n n) (- (* n 1/3) 1/2))) (- (* n (- (+ 1 n) (log n))) 1)) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ n 1)) (cbrt (- (/ 1 n) (+ (log n) (* 1/2 (/ 1 (sqr n)))))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (* (+ 1 n) (- (- (/ 1 n) (log n)) (/ (/ 1/2 n) n))) (+ (* (log n) n) 1)) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ n 1)) (cbrt (- (+ (log -1) (/ 1 n)) (+ (log n) (* 1/2 (/ 1 (sqr n)))))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (- (* (+ 1 n) (- (- (/ 1 n) (/ (/ 1/2 n) n)) (- (log n) (log -1)))) (+ 1 (* n (log n)))) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr n)) n) (* 1/6 (pow n 3))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- (- (* (- 1/2 (* 1/6 n)) (sqr n)) (- (* (log n) n) n)) 1) * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (/ 1 (pow n 3))) (/ 1 (sqr n))) (+ (/ (log n) (sqr 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 (55 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (- (- (- (/ (/ 1 n) n) (/ (log n) n)) (+ (/ (log n) (* n n)) 1)) (- (* n (log n)) (/ (/ 1/2 n) (* n n)))) * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) n) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3)) (* n (- (log -1) (log n)))) (+ (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (sqr n))) (* (log -1) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) n) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n)) (* n (- (log -1) (log n)))) (* (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (log n))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (* (cube (pow (exp 1/3) (- (log -1) (log n)))) (+ (/ (log -1) (- (log -1) (log n))) (/ 1/2 n))) n) (* (cube (pow (exp 1/3) (- (log -1) (log n)))) (log -1))) (+ (/ (* (cube (pow (exp 1/3) (- (log -1) (log n)))) (+ (/ (log n) (- (log -1) (log n))) (log n))) n) (* (cube (pow (exp 1/3) (- (log -1) (log n)))) (- (log n) (/ (log -1) n))))) (+ (* n (log n)) 1)) * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (- (+ (* 1/3 n) 1) (* 1/9 (sqr n))) (cbrt (log (+ n 1))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (- (* (cube (- (+ 1 (* n 1/3)) (* n (* 1/9 n)))) (log (+ 1 n))) (+ (* (log n) n) 1)) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (- (+ (* 1/3 (pow (/ 1 (pow n 4)) 1/3)) (pow n -1/3)) (* 1/9 (pow (/ 1 (pow n 7)) 1/3))) (cbrt (log (+ n 1))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (- (* (* (log (+ 1 n)) (- (+ (pow n -1/3) (* 1/3 (cbrt (/ 1 (pow n 4))))) (* 1/9 (cbrt (/ 1 (pow n 7)))))) (* (- (+ (pow n -1/3) (* 1/3 (cbrt (/ 1 (pow n 4))))) (* 1/9 (cbrt (/ 1 (pow n 7))))) (- (+ (pow n -1/3) (* 1/3 (cbrt (/ 1 (pow n 4))))) (* 1/9 (cbrt (/ 1 (pow n 7))))))) (+ 1 (* (log n) n))) * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (- (+ (exp (* 1/3 (- (log -1) (log n)))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) n))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (sqr n)))) (cbrt (log (+ n 1))))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (- (* (cube (* (pow (exp 1/3) (- (log -1) (log n))) (- (+ 1 (/ 1/3 n)) (/ (/ 1/9 n) n)))) (log (+ 1 n))) (+ 1 (* n (log n)))) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) (exp (* n (log n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * [exit]simplify: Simplified to (log (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * [exit]simplify: Simplified to (/ (pow (+ 1 n) (+ 1 n)) (pow n n)) * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * [exit]simplify: Simplified to (cbrt (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (cube (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * [exit]simplify: Simplified to (cube (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * [exit]simplify: Simplified to (sqrt (- (* (+ 1 n) (log (+ 1 n))) (* n (log n)))) * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) 3) (pow (* n (log n)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 n)) (+ 1 n))) (cube (* n (log n)))) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 n)) (+ 1 n))) (cube (* n (log n)))) * [enter]simplify: Simplifying (+ (sqr (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) (+ (sqr (* n (log n))) (* (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (log n) n) (* (log n) n)) (* (* (+ 1 n) (log (+ 1 n))) (+ (* (log n) n) (* (+ 1 n) (log (+ 1 n)))))) * [exit]simplify: Simplified to (+ (* (* (log n) n) (* (log n) n)) (* (* (+ 1 n) (log (+ 1 n))) (+ (* (log n) n) (* (+ 1 n) (log (+ 1 n)))))) * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* n (log n))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (log n) (- n)) * [exit]simplify: Simplified to (* (log n) (- n)) * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) (sqr (* n (log n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (- (* (* (log (+ 1 n)) (+ 1 n)) (* (log (+ 1 n)) (+ 1 n))) (* (* (log n) n) (* (log n) n))) * [exit]simplify: Simplified to (- (* (* (log (+ 1 n)) (+ 1 n)) (* (log (+ 1 n)) (+ 1 n))) (* (* (log n) n) (* (log n) n))) * [enter]simplify: Simplifying (+ (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) (* n (log n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (+ (* n (log n)) (* (+ 1 n) (log (+ 1 n)))) * [exit]simplify: Simplified to (+ (* n (log n)) (* (+ 1 n) (log (+ 1 n)))) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log n) n)) (sqrt (* (log (+ 1 n)) (+ 1 n)))) * [exit]simplify: Simplified to (+ (sqrt (* (log n) n)) (sqrt (* (log (+ 1 n)) (+ 1 n)))) * [enter]simplify: Simplifying (- (sqrt (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (sqrt (* (log (+ 1 n)) (+ 1 n))) (sqrt (* (log n) n))) * [exit]simplify: Simplified to (- (sqrt (* (log (+ 1 n)) (+ 1 n))) (sqrt (* (log n) n))) * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 n)) * [exit]simplify: Simplified to (log (+ 1 n)) * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow n 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ 1 (cube n))) * [exit]simplify: Simplified to (log (+ 1 (cube n))) * [enter]simplify: Simplifying (log (+ (sqr n) (- (sqr 1) (* n 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (* n n) (- 1 n))) * [exit]simplify: Simplified to (log (+ (* n n) (- 1 n))) * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr n) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (* n n) 1)) * [exit]simplify: Simplified to (log (- (* n n) 1)) * [enter]simplify: Simplifying (log (- n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- n 1)) * [exit]simplify: Simplified to (log (- n 1)) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 n)) * [exit]simplify: Simplified to (log (+ 1 n)) * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 n))) * [exit]simplify: Simplified to (log (log (+ 1 n))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 n) * [exit]simplify: Simplified to (+ 1 n) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 n))) * [exit]simplify: Simplified to (cbrt (log (+ 1 n))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 n))) * [exit]simplify: Simplified to (cube (log (+ 1 n))) * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (log (* (+ 1 n) (log (+ 1 n)))) * [exit]simplify: Simplified to (log (* (+ 1 n) (log (+ 1 n)))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (pow (+ 1 n) (+ 1 n)) * [exit]simplify: Simplified to (pow (+ 1 n) (+ 1 n)) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 1 n) (log (+ 1 n)))) * [exit]simplify: Simplified to (cbrt (* (+ 1 n) (log (+ 1 n)))) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (cube (* (+ 1 n) (log (+ 1 n)))) * [exit]simplify: Simplified to (cube (* (+ 1 n) (log (+ 1 n)))) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ 1 n) * [exit]simplify: Simplified to (+ 1 n) * [enter]simplify: Simplifying (cube (cbrt (log (+ n 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (+ 1 n)) * [exit]simplify: Simplified to (log (+ 1 n)) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cbrt (+ (pow n 3) (pow 1 3))) (cbrt (log (+ n 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (+ 1 (cube n)) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ 1 (cube n)) (log (+ n 1))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr n) (- (sqr 1) (* n 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (* n n) (- 1 n)) * [exit]simplify: Simplified to (+ (* n n) (- 1 n)) * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cbrt (- (sqr n) (sqr 1))) (cbrt (log (+ n 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (- (* n n) 1) (log (+ n 1))) * [exit]simplify: Simplified to (* (- (* n n) 1) (log (+ n 1))) * [enter]simplify: Simplifying (cube (cbrt (- n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- n 1) * [exit]simplify: Simplified to (- n 1) * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))) (* (cbrt (+ n 1)) (cbrt (log (+ n 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (* (cbrt (+ 1 n)) (cbrt (log (+ 1 n)))) (* (cbrt (+ 1 n)) (cbrt (log (+ 1 n))))) * [exit]simplify: Simplified to (* (* (cbrt (+ 1 n)) (cbrt (log (+ 1 n)))) (* (cbrt (+ 1 n)) (cbrt (log (+ 1 n))))) * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (* (cbrt (+ n 1)) (cbrt (log (+ n 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 1 n) (log (+ 1 n)))) * [exit]simplify: Simplified to (sqrt (* (+ 1 n) (log (+ 1 n)))) * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 n))) * [exit]simplify: Simplified to (log (cbrt (+ 1 n))) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 n))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 n))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 n)) * [exit]simplify: Simplified to (cbrt (+ 1 n)) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (cube n))) * [exit]simplify: Simplified to (cbrt (+ 1 (cube n))) * [enter]simplify: Simplifying (cbrt (+ (sqr n) (- (sqr 1) (* n 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (+ (* n n) (- 1 n))) * [exit]simplify: Simplified to (cbrt (+ (* n n) (- 1 n))) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr n) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) 1)) * [exit]simplify: Simplified to (cbrt (- (* n n) 1)) * [enter]simplify: Simplifying (cbrt (- n 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- n 1)) * [exit]simplify: Simplified to (cbrt (- n 1)) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 n))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 n))) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ 1 n) * [exit]simplify: Simplified to (+ 1 n) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 n))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 n))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 n +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* 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 (* (+ 1 n) (log (+ 1 n))) * * [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 (cbrt (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 n))) * [exit]simplify: Simplified to (log (cbrt (+ 1 n))) * [enter]simplify: Simplifying (cbrt (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 n)) (+ 1 n))) * [enter]simplify: Simplifying (sqrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * [enter]simplify: Simplifying (log (* n (log n))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (log n) (log (log n))) * [exit]simplify: Simplified to (+ (log n) (log (log n))) * [enter]simplify: Simplifying (log (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (log (* (log (+ 1 n)) (+ 1 n))) * [enter]simplify: Simplifying (cbrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 n))) * [exit]simplify: Simplified to (cbrt (log (+ 1 n))) * [enter]simplify: Simplifying (cube (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 n))) * [exit]simplify: Simplified to (cube (log (+ 1 n))) * [enter]simplify: Simplifying (cube (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (cube (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (cube (* (log (+ 1 n)) (+ 1 n))) * [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 (+ (* n n) (- 1 n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (+ (- 1 n) (* n n)) * [exit]simplify: Simplified to (+ (- 1 n) (* n n)) * [enter]simplify: Simplifying (log (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 n))) * [exit]simplify: Simplified to (log (log (+ 1 n))) * [enter]simplify: Simplifying (* (log (+ 1 n)) (+ 1 n)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * [exit]simplify: Simplified to (* (+ n 1) (log (+ n 1))) * [enter]simplify: Simplifying (+ (* (- n) (log 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 (+ (* (log n) (- n)) 1) * [exit]simplify: Simplified to (+ (* (log n) (- n)) 1) * [enter]simplify: Simplifying (+ (* n n) (- 1 n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (+ (- 1 n) (* n n)) * [exit]simplify: Simplified to (+ (- 1 n) (* n n)) * [enter]simplify: Simplifying (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 (sqrt (* (+ n 1) (log (+ n 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 n)) (+ 1 n))) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 n)) (+ 1 n))) * [enter]simplify: Simplifying (+ (* (sqrt (+ n 1)) (sqrt (log (+ n 1)))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log n) n)) (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n))))) * [exit]simplify: Simplified to (+ (sqrt (* (log n) n)) (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n))))) * [enter]simplify: Simplifying (- (* (sqrt (+ n 1)) (sqrt (log (+ n 1)))) (sqrt (* n (log n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n)))) (sqrt (* (log n) n))) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 n)) (sqrt (log (+ 1 n)))) (sqrt (* (log n) n))) * [enter]simplify: Simplifying (sqrt (log (+ n 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 n))) * [exit]simplify: Simplified to (sqrt (log (+ 1 n)))