1548149201.978 * [misc]progress: [Phase 1 of 3] Setting up. 1548149201.978 * * * [misc]progress: [1/2] Preparing points 1548149202.044 * * * [misc]progress: [2/2] Setting up program. 1548149202.046 * [misc]progress: [Phase 2 of 3] Improving. 1548149202.046 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1548149202.047 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1548149202.047 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.048 * * [misc]simplify: iters left: 4 (11 enodes) 1548149202.049 * * [misc]simplify: iters left: 3 (13 enodes) 1548149202.050 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.050 * [misc]simplify: Simplified (2) to (λ (N) (- (log1p N) (log N))) 1548149202.056 * * [misc]progress: iteration 1 / 4 1548149202.056 * * * [misc]progress: picking best candidate 1548149202.058 * * * * [misc]pick: Picked # 1548149202.058 * * * [misc]progress: localizing error 1548149202.069 * * * [misc]progress: generating rewritten candidates 1548149202.069 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1548149202.089 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1548149202.091 * * * [misc]progress: generating series expansions 1548149202.091 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1548149202.091 * [misc]backup-simplify: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 1548149202.091 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1548149202.091 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1548149202.091 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548149202.091 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149202.091 * [misc]taylor: Taking taylor expansion of N in N 1548149202.091 * [misc]backup-simplify: Simplify 0 into 0 1548149202.091 * [misc]backup-simplify: Simplify 1 into 1 1548149202.091 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.091 * [misc]backup-simplify: Simplify 1 into 1 1548149202.091 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149202.091 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.091 * [misc]taylor: Taking taylor expansion of (log N) in N 1548149202.091 * [misc]taylor: Taking taylor expansion of N in N 1548149202.091 * [misc]backup-simplify: Simplify 0 into 0 1548149202.092 * [misc]backup-simplify: Simplify 1 into 1 1548149202.092 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.092 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1548149202.092 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548149202.092 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149202.092 * [misc]taylor: Taking taylor expansion of N in N 1548149202.092 * [misc]backup-simplify: Simplify 0 into 0 1548149202.092 * [misc]backup-simplify: Simplify 1 into 1 1548149202.092 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.092 * [misc]backup-simplify: Simplify 1 into 1 1548149202.092 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149202.092 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.092 * [misc]taylor: Taking taylor expansion of (log N) in N 1548149202.092 * [misc]taylor: Taking taylor expansion of N in N 1548149202.092 * [misc]backup-simplify: Simplify 0 into 0 1548149202.092 * [misc]backup-simplify: Simplify 1 into 1 1548149202.092 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.092 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1548149202.093 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548149202.093 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1548149202.093 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548149202.093 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548149202.096 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548149202.096 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.097 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.097 * [misc]backup-simplify: Simplify 1 into 1 1548149202.097 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.100 * [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 1548149202.102 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548149202.102 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.102 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548149202.102 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149202.102 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548149202.103 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1548149202.103 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1548149202.103 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of N in N 1548149202.103 * [misc]backup-simplify: Simplify 0 into 0 1548149202.103 * [misc]backup-simplify: Simplify 1 into 1 1548149202.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.103 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.103 * [misc]backup-simplify: Simplify 1 into 1 1548149202.103 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.103 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.103 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of N in N 1548149202.103 * [misc]backup-simplify: Simplify 0 into 0 1548149202.103 * [misc]backup-simplify: Simplify 1 into 1 1548149202.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.103 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.103 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.103 * [misc]taylor: Taking taylor expansion of N in N 1548149202.103 * [misc]backup-simplify: Simplify 0 into 0 1548149202.104 * [misc]backup-simplify: Simplify 1 into 1 1548149202.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.104 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.104 * [misc]backup-simplify: Simplify 1 into 1 1548149202.104 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.104 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.104 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1548149202.104 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.104 * [misc]taylor: Taking taylor expansion of N in N 1548149202.104 * [misc]backup-simplify: Simplify 0 into 0 1548149202.104 * [misc]backup-simplify: Simplify 1 into 1 1548149202.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.104 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.104 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548149202.104 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548149202.104 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1548149202.105 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1548149202.105 * [misc]backup-simplify: Simplify 0 into 0 1548149202.105 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149202.105 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149202.107 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548149202.107 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149202.108 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548149202.108 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.108 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.108 * [misc]backup-simplify: Simplify 1 into 1 1548149202.108 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.112 * [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 1548149202.112 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.116 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548149202.116 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.116 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548149202.116 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149202.117 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.123 * [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 1548149202.123 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.129 * [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 1548149202.129 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.130 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548149202.130 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149202.130 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149202.130 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1548149202.130 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1548149202.130 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1548149202.130 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548149202.130 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149202.130 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.130 * [misc]backup-simplify: Simplify 1 into 1 1548149202.130 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.130 * [misc]taylor: Taking taylor expansion of N in N 1548149202.130 * [misc]backup-simplify: Simplify 0 into 0 1548149202.130 * [misc]backup-simplify: Simplify 1 into 1 1548149202.131 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.131 * [misc]backup-simplify: Simplify (- 1) into -1 1548149202.131 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149202.131 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548149202.131 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1548149202.131 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1548149202.131 * [misc]taylor: Taking taylor expansion of -1 in N 1548149202.131 * [misc]backup-simplify: Simplify -1 into -1 1548149202.131 * [misc]taylor: Taking taylor expansion of N in N 1548149202.131 * [misc]backup-simplify: Simplify 0 into 0 1548149202.131 * [misc]backup-simplify: Simplify 1 into 1 1548149202.131 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548149202.132 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548149202.132 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1548149202.132 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548149202.132 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149202.132 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.132 * [misc]backup-simplify: Simplify 1 into 1 1548149202.132 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.132 * [misc]taylor: Taking taylor expansion of N in N 1548149202.132 * [misc]backup-simplify: Simplify 0 into 0 1548149202.132 * [misc]backup-simplify: Simplify 1 into 1 1548149202.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.132 * [misc]backup-simplify: Simplify (- 1) into -1 1548149202.132 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149202.132 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548149202.132 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1548149202.132 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1548149202.132 * [misc]taylor: Taking taylor expansion of -1 in N 1548149202.132 * [misc]backup-simplify: Simplify -1 into -1 1548149202.132 * [misc]taylor: Taking taylor expansion of N in N 1548149202.132 * [misc]backup-simplify: Simplify 0 into 0 1548149202.132 * [misc]backup-simplify: Simplify 1 into 1 1548149202.133 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548149202.133 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548149202.133 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1548149202.133 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1548149202.134 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1548149202.134 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1548149202.134 * [misc]backup-simplify: Simplify 0 into 0 1548149202.134 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149202.134 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.135 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.137 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1548149202.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548149202.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1548149202.139 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.139 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1548149202.139 * [misc]backup-simplify: Simplify -1 into -1 1548149202.140 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.140 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.140 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.142 * [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 1548149202.143 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.145 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1548149202.145 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.145 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548149202.145 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149202.145 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.145 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.149 * [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 1548149202.149 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.153 * [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 1548149202.153 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.153 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1548149202.153 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548149202.154 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149202.154 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1548149202.154 * [misc]backup-simplify: Simplify (log (+ N 1)) into (log (+ N 1)) 1548149202.154 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1548149202.154 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548149202.154 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149202.154 * [misc]taylor: Taking taylor expansion of N in N 1548149202.154 * [misc]backup-simplify: Simplify 0 into 0 1548149202.154 * [misc]backup-simplify: Simplify 1 into 1 1548149202.154 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.154 * [misc]backup-simplify: Simplify 1 into 1 1548149202.154 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149202.154 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.154 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548149202.154 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149202.154 * [misc]taylor: Taking taylor expansion of N in N 1548149202.154 * [misc]backup-simplify: Simplify 0 into 0 1548149202.154 * [misc]backup-simplify: Simplify 1 into 1 1548149202.154 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.154 * [misc]backup-simplify: Simplify 1 into 1 1548149202.154 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149202.154 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.154 * [misc]backup-simplify: Simplify 0 into 0 1548149202.155 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.156 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548149202.156 * [misc]backup-simplify: Simplify 1 into 1 1548149202.156 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.159 * [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 1548149202.159 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149202.159 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.163 * [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 1548149202.163 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149202.163 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1548149202.163 * [misc]backup-simplify: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1548149202.163 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1548149202.163 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548149202.163 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149202.163 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.163 * [misc]taylor: Taking taylor expansion of N in N 1548149202.163 * [misc]backup-simplify: Simplify 0 into 0 1548149202.163 * [misc]backup-simplify: Simplify 1 into 1 1548149202.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.163 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.163 * [misc]backup-simplify: Simplify 1 into 1 1548149202.163 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.163 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.163 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548149202.163 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149202.164 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.164 * [misc]taylor: Taking taylor expansion of N in N 1548149202.164 * [misc]backup-simplify: Simplify 0 into 0 1548149202.164 * [misc]backup-simplify: Simplify 1 into 1 1548149202.164 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.164 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.164 * [misc]backup-simplify: Simplify 1 into 1 1548149202.164 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.164 * [misc]backup-simplify: Simplify (log 1) into 0 1548149202.164 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548149202.164 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548149202.164 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149202.164 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149202.166 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548149202.166 * [misc]backup-simplify: Simplify 1 into 1 1548149202.166 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.169 * [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 1548149202.169 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149202.169 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1548149202.169 * [misc]backup-simplify: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1548149202.169 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1548149202.169 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548149202.169 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149202.169 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.169 * [misc]backup-simplify: Simplify 1 into 1 1548149202.169 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.169 * [misc]taylor: Taking taylor expansion of N in N 1548149202.169 * [misc]backup-simplify: Simplify 0 into 0 1548149202.169 * [misc]backup-simplify: Simplify 1 into 1 1548149202.169 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.169 * [misc]backup-simplify: Simplify (- 1) into -1 1548149202.170 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149202.170 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548149202.170 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548149202.170 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149202.170 * [misc]taylor: Taking taylor expansion of 1 in N 1548149202.170 * [misc]backup-simplify: Simplify 1 into 1 1548149202.170 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149202.170 * [misc]taylor: Taking taylor expansion of N in N 1548149202.170 * [misc]backup-simplify: Simplify 0 into 0 1548149202.170 * [misc]backup-simplify: Simplify 1 into 1 1548149202.170 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149202.170 * [misc]backup-simplify: Simplify (- 1) into -1 1548149202.170 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149202.170 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548149202.171 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1548149202.171 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1548149202.171 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149202.171 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.171 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149202.173 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1548149202.173 * [misc]backup-simplify: Simplify -1 into -1 1548149202.173 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149202.174 * [misc]backup-simplify: Simplify (- 0) into 0 1548149202.174 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149202.178 * [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 1548149202.178 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149202.178 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1548149202.178 * * * [misc]progress: simplifying candidates 1548149202.178 * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # 1548149202.179 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1548149202.179 * * [misc]simplify: iters left: 6 (10 enodes) 1548149202.182 * * [misc]simplify: iters left: 5 (22 enodes) 1548149202.189 * * [misc]simplify: iters left: 4 (30 enodes) 1548149202.198 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.210 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.210 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1548149202.210 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1548149202.210 * * [misc]simplify: iters left: 6 (7 enodes) 1548149202.212 * * [misc]simplify: iters left: 5 (12 enodes) 1548149202.215 * * [misc]simplify: iters left: 4 (19 enodes) 1548149202.221 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.227 * * [misc]simplify: iters left: 2 (46 enodes) 1548149202.230 * [exit]simplify: Simplified to 0 1548149202.230 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.230 * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # 1548149202.231 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) 1548149202.231 * * [misc]simplify: iters left: 6 (9 enodes) 1548149202.232 * * [misc]simplify: iters left: 5 (17 enodes) 1548149202.234 * * [misc]simplify: iters left: 4 (22 enodes) 1548149202.238 * * [misc]simplify: iters left: 3 (28 enodes) 1548149202.241 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.241 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1548149202.241 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1548149202.241 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.242 * * [misc]simplify: iters left: 4 (8 enodes) 1548149202.244 * * [misc]simplify: iters left: 3 (14 enodes) 1548149202.246 * * [misc]simplify: iters left: 2 (20 enodes) 1548149202.248 * * [misc]simplify: iters left: 1 (22 enodes) 1548149202.250 * [exit]simplify: Simplified to 0 1548149202.250 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.250 * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # 1548149202.250 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) 1548149202.250 * * [misc]simplify: iters left: 6 (8 enodes) 1548149202.252 * * [misc]simplify: iters left: 5 (19 enodes) 1548149202.255 * * [misc]simplify: iters left: 4 (27 enodes) 1548149202.259 * * [misc]simplify: iters left: 3 (37 enodes) 1548149202.263 * * [misc]simplify: iters left: 2 (40 enodes) 1548149202.267 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.267 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1548149202.267 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1548149202.267 * * [misc]simplify: iters left: 4 (6 enodes) 1548149202.268 * * [misc]simplify: iters left: 3 (11 enodes) 1548149202.270 * * [misc]simplify: iters left: 2 (21 enodes) 1548149202.274 * * [misc]simplify: iters left: 1 (30 enodes) 1548149202.279 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1548149202.279 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1548149202.279 * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # 1548149202.279 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1548149202.279 * * [misc]simplify: iters left: 6 (12 enodes) 1548149202.282 * * [misc]simplify: iters left: 5 (24 enodes) 1548149202.288 * * [misc]simplify: iters left: 4 (32 enodes) 1548149202.295 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.303 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.303 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1548149202.304 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1548149202.304 * * [misc]simplify: iters left: 6 (7 enodes) 1548149202.306 * * [misc]simplify: iters left: 5 (12 enodes) 1548149202.309 * * [misc]simplify: iters left: 4 (19 enodes) 1548149202.314 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.320 * * [misc]simplify: iters left: 2 (46 enodes) 1548149202.324 * [exit]simplify: Simplified to 0 1548149202.324 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.324 * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # 1548149202.324 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) 1548149202.324 * * [misc]simplify: iters left: 6 (11 enodes) 1548149202.326 * * [misc]simplify: iters left: 5 (19 enodes) 1548149202.328 * * [misc]simplify: iters left: 4 (24 enodes) 1548149202.331 * * [misc]simplify: iters left: 3 (29 enodes) 1548149202.334 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.334 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1548149202.334 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1548149202.334 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.335 * * [misc]simplify: iters left: 4 (8 enodes) 1548149202.336 * * [misc]simplify: iters left: 3 (14 enodes) 1548149202.338 * * [misc]simplify: iters left: 2 (20 enodes) 1548149202.340 * * [misc]simplify: iters left: 1 (22 enodes) 1548149202.342 * [exit]simplify: Simplified to 0 1548149202.342 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.342 * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # 1548149202.342 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) 1548149202.342 * * [misc]simplify: iters left: 6 (10 enodes) 1548149202.344 * * [misc]simplify: iters left: 5 (21 enodes) 1548149202.347 * * [misc]simplify: iters left: 4 (29 enodes) 1548149202.355 * * [misc]simplify: iters left: 3 (40 enodes) 1548149202.364 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.364 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1548149202.364 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1548149202.364 * * [misc]simplify: iters left: 4 (6 enodes) 1548149202.366 * * [misc]simplify: iters left: 3 (11 enodes) 1548149202.371 * * [misc]simplify: iters left: 2 (21 enodes) 1548149202.376 * * [misc]simplify: iters left: 1 (30 enodes) 1548149202.381 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1548149202.381 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1548149202.381 * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # 1548149202.381 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1548149202.381 * * [misc]simplify: iters left: 6 (11 enodes) 1548149202.384 * * [misc]simplify: iters left: 5 (23 enodes) 1548149202.390 * * [misc]simplify: iters left: 4 (30 enodes) 1548149202.395 * * [misc]simplify: iters left: 3 (35 enodes) 1548149202.398 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.398 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1548149202.398 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1548149202.399 * * [misc]simplify: iters left: 6 (7 enodes) 1548149202.400 * * [misc]simplify: iters left: 5 (12 enodes) 1548149202.401 * * [misc]simplify: iters left: 4 (19 enodes) 1548149202.406 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.410 * * [misc]simplify: iters left: 2 (46 enodes) 1548149202.414 * [exit]simplify: Simplified to 0 1548149202.414 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.414 * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # 1548149202.414 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) 1548149202.414 * * [misc]simplify: iters left: 6 (10 enodes) 1548149202.416 * * [misc]simplify: iters left: 5 (18 enodes) 1548149202.418 * * [misc]simplify: iters left: 4 (22 enodes) 1548149202.421 * * [misc]simplify: iters left: 3 (28 enodes) 1548149202.426 * * [misc]simplify: iters left: 2 (31 enodes) 1548149202.433 * * [misc]simplify: iters left: 1 (46 enodes) 1548149202.446 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.446 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1548149202.446 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1548149202.446 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.448 * * [misc]simplify: iters left: 4 (8 enodes) 1548149202.450 * * [misc]simplify: iters left: 3 (14 enodes) 1548149202.453 * * [misc]simplify: iters left: 2 (20 enodes) 1548149202.457 * * [misc]simplify: iters left: 1 (22 enodes) 1548149202.460 * [exit]simplify: Simplified to 0 1548149202.460 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.460 * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # 1548149202.460 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) 1548149202.460 * * [misc]simplify: iters left: 6 (9 enodes) 1548149202.464 * * [misc]simplify: iters left: 5 (20 enodes) 1548149202.469 * * [misc]simplify: iters left: 4 (27 enodes) 1548149202.476 * * [misc]simplify: iters left: 3 (36 enodes) 1548149202.482 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.482 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1548149202.482 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1548149202.482 * * [misc]simplify: iters left: 4 (6 enodes) 1548149202.484 * * [misc]simplify: iters left: 3 (11 enodes) 1548149202.487 * * [misc]simplify: iters left: 2 (21 enodes) 1548149202.492 * * [misc]simplify: iters left: 1 (30 enodes) 1548149202.497 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1548149202.497 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1548149202.497 * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # 1548149202.497 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1548149202.497 * * [misc]simplify: iters left: 6 (10 enodes) 1548149202.500 * * [misc]simplify: iters left: 5 (22 enodes) 1548149202.506 * * [misc]simplify: iters left: 4 (30 enodes) 1548149202.513 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.523 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.523 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1548149202.523 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1548149202.523 * * [misc]simplify: iters left: 6 (7 enodes) 1548149202.525 * * [misc]simplify: iters left: 5 (12 enodes) 1548149202.528 * * [misc]simplify: iters left: 4 (19 enodes) 1548149202.534 * * [misc]simplify: iters left: 3 (38 enodes) 1548149202.542 * * [misc]simplify: iters left: 2 (46 enodes) 1548149202.548 * [exit]simplify: Simplified to 0 1548149202.548 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.548 * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # 1548149202.549 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) 1548149202.549 * * [misc]simplify: iters left: 6 (9 enodes) 1548149202.551 * * [misc]simplify: iters left: 5 (17 enodes) 1548149202.555 * * [misc]simplify: iters left: 4 (22 enodes) 1548149202.560 * * [misc]simplify: iters left: 3 (28 enodes) 1548149202.565 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.565 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1548149202.565 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1548149202.565 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.567 * * [misc]simplify: iters left: 4 (8 enodes) 1548149202.569 * * [misc]simplify: iters left: 3 (14 enodes) 1548149202.572 * * [misc]simplify: iters left: 2 (20 enodes) 1548149202.576 * * [misc]simplify: iters left: 1 (22 enodes) 1548149202.579 * [exit]simplify: Simplified to 0 1548149202.579 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1548149202.579 * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # 1548149202.579 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) 1548149202.579 * * [misc]simplify: iters left: 6 (8 enodes) 1548149202.582 * * [misc]simplify: iters left: 5 (19 enodes) 1548149202.586 * * [misc]simplify: iters left: 4 (27 enodes) 1548149202.593 * * [misc]simplify: iters left: 3 (37 enodes) 1548149202.596 * * [misc]simplify: iters left: 2 (40 enodes) 1548149202.600 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.600 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1548149202.600 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1548149202.600 * * [misc]simplify: iters left: 4 (6 enodes) 1548149202.601 * * [misc]simplify: iters left: 3 (11 enodes) 1548149202.603 * * [misc]simplify: iters left: 2 (21 enodes) 1548149202.606 * * [misc]simplify: iters left: 1 (30 enodes) 1548149202.608 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1548149202.608 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1548149202.608 * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # 1548149202.608 * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # 1548149202.608 * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # 1548149202.608 * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # 1548149202.609 * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) 1548149202.609 * * [misc]simplify: iters left: 6 (6 enodes) 1548149202.610 * * [misc]simplify: iters left: 5 (9 enodes) 1548149202.611 * * [misc]simplify: iters left: 4 (10 enodes) 1548149202.612 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1548149202.612 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log (+ N 1))) (- (log N)))) 1548149202.612 * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # 1548149202.612 * [enter]simplify: Simplifying (sqrt (log (+ N 1))) 1548149202.612 * * [misc]simplify: iters left: 4 (5 enodes) 1548149202.613 * * [misc]simplify: iters left: 3 (8 enodes) 1548149202.614 * * [misc]simplify: iters left: 2 (9 enodes) 1548149202.614 * [exit]simplify: Simplified to (sqrt (log1p N)) 1548149202.614 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log (+ N 1))) (- (log N)))) 1548149202.615 * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # 1548149202.615 * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # 1548149202.615 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548149202.615 * * [misc]simplify: iters left: 4 (4 enodes) 1548149202.615 * * [misc]simplify: iters left: 3 (7 enodes) 1548149202.616 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548149202.616 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1548149202.616 * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # 1548149202.616 * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # 1548149202.617 * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # 1548149202.617 * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # 1548149202.617 * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 1548149202.617 * * [misc]simplify: iters left: 6 (8 enodes) 1548149202.618 * * [misc]simplify: iters left: 5 (12 enodes) 1548149202.619 * * [misc]simplify: iters left: 4 (13 enodes) 1548149202.621 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) 1548149202.621 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1548149202.621 * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 1548149202.621 * * [misc]simplify: iters left: 6 (8 enodes) 1548149202.622 * * [misc]simplify: iters left: 5 (13 enodes) 1548149202.625 * * [misc]simplify: iters left: 4 (15 enodes) 1548149202.627 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1548149202.627 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1548149202.627 * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # 1548149202.627 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1548149202.627 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.628 * * [misc]simplify: iters left: 4 (11 enodes) 1548149202.629 * * [misc]simplify: iters left: 3 (13 enodes) 1548149202.631 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.631 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1548149202.631 * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # 1548149202.631 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1548149202.631 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.632 * * [misc]simplify: iters left: 4 (11 enodes) 1548149202.633 * * [misc]simplify: iters left: 3 (13 enodes) 1548149202.635 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1548149202.635 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1548149202.635 * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # 1548149202.635 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1548149202.635 * * [misc]simplify: iters left: 6 (6 enodes) 1548149202.636 * * [misc]simplify: iters left: 5 (11 enodes) 1548149202.637 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1548149202.637 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 1548149202.637 * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # 1548149202.637 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548149202.638 * * [misc]simplify: iters left: 4 (5 enodes) 1548149202.638 * * [misc]simplify: iters left: 3 (8 enodes) 1548149202.639 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548149202.639 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 1548149202.639 * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # 1548149202.639 * [enter]simplify: Simplifying (log 1) 1548149202.639 * * [misc]simplify: iters left: 1 (2 enodes) 1548149202.640 * [exit]simplify: Simplified to 0 1548149202.640 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 1548149202.640 * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # 1548149202.640 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1548149202.640 * * [misc]simplify: iters left: 4 (7 enodes) 1548149202.642 * * [misc]simplify: iters left: 3 (15 enodes) 1548149202.643 * * [misc]simplify: iters left: 2 (18 enodes) 1548149202.645 * [exit]simplify: Simplified to (log1p (pow N 3)) 1548149202.645 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p (pow N 3)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 1548149202.645 * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # 1548149202.645 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1548149202.645 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.647 * * [misc]simplify: iters left: 4 (13 enodes) 1548149202.649 * * [misc]simplify: iters left: 3 (20 enodes) 1548149202.651 * * [misc]simplify: iters left: 2 (27 enodes) 1548149202.654 * * [misc]simplify: iters left: 1 (45 enodes) 1548149202.663 * [exit]simplify: Simplified to (log (fma N N -1)) 1548149202.663 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (fma N N -1)) (+ (log (- N 1)) (log N)))) 1548149202.663 * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # 1548149202.663 * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # 1548149202.663 * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # 1548149202.663 * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # 1548149202.663 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1548149202.663 * * [misc]simplify: iters left: 6 (6 enodes) 1548149202.664 * * [misc]simplify: iters left: 5 (11 enodes) 1548149202.665 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1548149202.665 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 1548149202.665 * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # 1548149202.666 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548149202.666 * * [misc]simplify: iters left: 4 (5 enodes) 1548149202.666 * * [misc]simplify: iters left: 3 (8 enodes) 1548149202.667 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548149202.667 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 1548149202.667 * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # 1548149202.667 * [enter]simplify: Simplifying (log 1) 1548149202.667 * * [misc]simplify: iters left: 1 (2 enodes) 1548149202.668 * [exit]simplify: Simplified to 0 1548149202.668 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 1548149202.668 * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # 1548149202.668 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1548149202.668 * * [misc]simplify: iters left: 4 (7 enodes) 1548149202.670 * * [misc]simplify: iters left: 3 (15 enodes) 1548149202.671 * * [misc]simplify: iters left: 2 (18 enodes) 1548149202.674 * [exit]simplify: Simplified to (log1p (pow N 3)) 1548149202.674 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log1p (pow N 3)) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 1548149202.674 * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # 1548149202.674 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1548149202.674 * * [misc]simplify: iters left: 5 (6 enodes) 1548149202.675 * * [misc]simplify: iters left: 4 (13 enodes) 1548149202.678 * * [misc]simplify: iters left: 3 (20 enodes) 1548149202.682 * * [misc]simplify: iters left: 2 (27 enodes) 1548149202.687 * * [misc]simplify: iters left: 1 (45 enodes) 1548149202.705 * [exit]simplify: Simplified to (log (fma N N -1)) 1548149202.705 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (fma N N -1)) (log (- N 1))) (log N))) 1548149202.705 * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # 1548149202.705 * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # 1548149202.705 * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # 1548149202.705 * [enter]simplify: Simplifying (+ N 1) 1548149202.705 * * [misc]simplify: iters left: 2 (3 enodes) 1548149202.706 * * [misc]simplify: iters left: 1 (6 enodes) 1548149202.708 * [exit]simplify: Simplified to (+ 1 N) 1548149202.708 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 1548149202.708 * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # 1548149202.708 * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # 1548149202.708 * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # 1548149202.708 * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # 1548149202.708 * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # 1548149202.708 * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # 1548149202.708 * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # 1548149202.708 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548149202.708 * * [misc]simplify: iters left: 6 (8 enodes) 1548149202.711 * * [misc]simplify: iters left: 5 (15 enodes) 1548149202.715 * * [misc]simplify: iters left: 4 (29 enodes) 1548149202.721 * * [misc]simplify: iters left: 3 (55 enodes) 1548149202.731 * * [misc]simplify: iters left: 2 (104 enodes) 1548149202.744 * * [misc]simplify: iters left: 1 (143 enodes) 1548149202.789 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1548149202.789 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1548149202.789 * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # 1548149202.789 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149202.789 * * [misc]simplify: iters left: 6 (15 enodes) 1548149202.797 * * [misc]simplify: iters left: 5 (32 enodes) 1548149202.808 * * [misc]simplify: iters left: 4 (61 enodes) 1548149202.828 * * [misc]simplify: iters left: 3 (103 enodes) 1548149202.866 * * [misc]simplify: iters left: 2 (168 enodes) 1548149202.899 * * [misc]simplify: iters left: 1 (248 enodes) 1548149202.956 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1548149202.956 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149202.956 * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # 1548149202.956 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149202.956 * * [misc]simplify: iters left: 6 (15 enodes) 1548149202.960 * * [misc]simplify: iters left: 5 (32 enodes) 1548149202.974 * * [misc]simplify: iters left: 4 (61 enodes) 1548149202.994 * * [misc]simplify: iters left: 3 (103 enodes) 1548149203.025 * * [misc]simplify: iters left: 2 (168 enodes) 1548149203.052 * * [misc]simplify: iters left: 1 (248 enodes) 1548149203.131 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1548149203.131 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149203.131 * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # 1548149203.131 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1548149203.131 * * [misc]simplify: iters left: 6 (11 enodes) 1548149203.133 * * [misc]simplify: iters left: 5 (21 enodes) 1548149203.138 * * [misc]simplify: iters left: 4 (55 enodes) 1548149203.153 * * [misc]simplify: iters left: 3 (107 enodes) 1548149203.188 * * [misc]simplify: iters left: 2 (184 enodes) 1548149203.235 * * [misc]simplify: iters left: 1 (247 enodes) 1548149203.450 * [exit]simplify: Simplified to (fma (* N N) (fma N 1/3 -1/2) N) 1548149203.450 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (* N N) (fma N 1/3 -1/2) N) (log N))) 1548149203.450 * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # 1548149203.450 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1548149203.450 * * [misc]simplify: iters left: 6 (11 enodes) 1548149203.453 * * [misc]simplify: iters left: 5 (27 enodes) 1548149203.457 * * [misc]simplify: iters left: 4 (40 enodes) 1548149203.466 * * [misc]simplify: iters left: 3 (81 enodes) 1548149203.499 * * [misc]simplify: iters left: 2 (176 enodes) 1548149203.544 * * [misc]simplify: iters left: 1 (289 enodes) 1548149203.683 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (log N))) 1548149203.683 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (log N))) (log N))) 1548149203.683 * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # 1548149203.683 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1548149203.683 * * [misc]simplify: iters left: 6 (15 enodes) 1548149203.686 * * [misc]simplify: iters left: 5 (32 enodes) 1548149203.691 * * [misc]simplify: iters left: 4 (66 enodes) 1548149203.707 * * [misc]simplify: iters left: 3 (161 enodes) 1548149203.757 * * [misc]simplify: iters left: 2 (416 enodes) 1548149203.997 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) -1/2 (+ (log N) (/ 1 N))) 1548149203.997 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (/ (/ 1 N) N) -1/2 (+ (log N) (/ 1 N))) (log N))) 1548149203.998 * * * [misc]progress: adding candidates to table 1548149204.392 * * [misc]progress: iteration 2 / 4 1548149204.392 * * * [misc]progress: picking best candidate 1548149204.401 * * * * [misc]pick: Picked # 1548149204.401 * * * [misc]progress: localizing error 1548149204.423 * * * [misc]progress: generating rewritten candidates 1548149204.424 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1548149204.425 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) 1548149204.426 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1548149204.427 * * * [misc]progress: generating series expansions 1548149204.427 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1548149204.427 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1548149204.427 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1548149204.427 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1548149204.427 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.427 * [misc]taylor: Taking taylor expansion of N in N 1548149204.427 * [misc]backup-simplify: Simplify 0 into 0 1548149204.427 * [misc]backup-simplify: Simplify 1 into 1 1548149204.428 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.428 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1548149204.428 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.428 * [misc]taylor: Taking taylor expansion of N in N 1548149204.428 * [misc]backup-simplify: Simplify 0 into 0 1548149204.428 * [misc]backup-simplify: Simplify 1 into 1 1548149204.428 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.429 * [misc]backup-simplify: Simplify 1 into 1 1548149204.429 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1548149204.429 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149204.429 * [misc]backup-simplify: Simplify 0 into 0 1548149204.429 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1548149204.430 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.430 * [misc]backup-simplify: Simplify 0 into 0 1548149204.430 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548149204.430 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.431 * [misc]backup-simplify: Simplify 0 into 0 1548149204.431 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548149204.431 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.432 * [misc]backup-simplify: Simplify 0 into 0 1548149204.432 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548149204.432 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.433 * [misc]backup-simplify: Simplify 0 into 0 1548149204.433 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548149204.434 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.434 * [misc]backup-simplify: Simplify 0 into 0 1548149204.434 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1548149204.434 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1548149204.434 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1548149204.434 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.434 * [misc]taylor: Taking taylor expansion of N in N 1548149204.434 * [misc]backup-simplify: Simplify 0 into 0 1548149204.435 * [misc]backup-simplify: Simplify 1 into 1 1548149204.435 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.435 * [misc]taylor: Taking taylor expansion of N in N 1548149204.435 * [misc]backup-simplify: Simplify 0 into 0 1548149204.435 * [misc]backup-simplify: Simplify 1 into 1 1548149204.435 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.435 * [misc]backup-simplify: Simplify 1 into 1 1548149204.435 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1548149204.436 * [misc]backup-simplify: Simplify 0 into 0 1548149204.436 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1548149204.436 * [misc]backup-simplify: Simplify 0 into 0 1548149204.437 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548149204.437 * [misc]backup-simplify: Simplify 0 into 0 1548149204.437 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548149204.437 * [misc]backup-simplify: Simplify 0 into 0 1548149204.438 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548149204.438 * [misc]backup-simplify: Simplify 0 into 0 1548149204.438 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548149204.438 * [misc]backup-simplify: Simplify 0 into 0 1548149204.438 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1548149204.438 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1548149204.439 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1548149204.439 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.439 * [misc]taylor: Taking taylor expansion of N in N 1548149204.439 * [misc]backup-simplify: Simplify 0 into 0 1548149204.439 * [misc]backup-simplify: Simplify 1 into 1 1548149204.439 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.439 * [misc]taylor: Taking taylor expansion of N in N 1548149204.439 * [misc]backup-simplify: Simplify 0 into 0 1548149204.439 * [misc]backup-simplify: Simplify 1 into 1 1548149204.439 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.439 * [misc]backup-simplify: Simplify 1 into 1 1548149204.439 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1548149204.439 * [misc]backup-simplify: Simplify 0 into 0 1548149204.440 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1548149204.440 * [misc]backup-simplify: Simplify 0 into 0 1548149204.440 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548149204.440 * [misc]backup-simplify: Simplify 0 into 0 1548149204.440 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548149204.441 * [misc]backup-simplify: Simplify 0 into 0 1548149204.441 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548149204.441 * [misc]backup-simplify: Simplify 0 into 0 1548149204.442 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548149204.442 * [misc]backup-simplify: Simplify 0 into 0 1548149204.442 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1548149204.442 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) 1548149204.442 * [misc]backup-simplify: Simplify (/ 1/3 N) into (/ 1/3 N) 1548149204.442 * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 1548149204.442 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1548149204.442 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.442 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.442 * [misc]taylor: Taking taylor expansion of N in N 1548149204.443 * [misc]backup-simplify: Simplify 0 into 0 1548149204.443 * [misc]backup-simplify: Simplify 1 into 1 1548149204.443 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1548149204.443 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1548149204.443 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.443 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.443 * [misc]taylor: Taking taylor expansion of N in N 1548149204.443 * [misc]backup-simplify: Simplify 0 into 0 1548149204.443 * [misc]backup-simplify: Simplify 1 into 1 1548149204.443 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1548149204.443 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.443 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1548149204.444 * [misc]backup-simplify: Simplify 0 into 0 1548149204.444 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.444 * [misc]backup-simplify: Simplify 0 into 0 1548149204.444 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.444 * [misc]backup-simplify: Simplify 0 into 0 1548149204.445 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.445 * [misc]backup-simplify: Simplify 0 into 0 1548149204.445 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.445 * [misc]backup-simplify: Simplify 0 into 0 1548149204.446 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.446 * [misc]backup-simplify: Simplify 0 into 0 1548149204.446 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1548149204.446 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 1548149204.446 * [misc]approximate: Taking taylor expansion of (* 1/3 N) in (N) around 0 1548149204.446 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1548149204.446 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.446 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.446 * [misc]taylor: Taking taylor expansion of N in N 1548149204.446 * [misc]backup-simplify: Simplify 0 into 0 1548149204.446 * [misc]backup-simplify: Simplify 1 into 1 1548149204.446 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1548149204.446 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.446 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.447 * [misc]taylor: Taking taylor expansion of N in N 1548149204.447 * [misc]backup-simplify: Simplify 0 into 0 1548149204.447 * [misc]backup-simplify: Simplify 1 into 1 1548149204.447 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1548149204.447 * [misc]backup-simplify: Simplify 0 into 0 1548149204.447 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1548149204.447 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.447 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1548149204.447 * [misc]backup-simplify: Simplify 0 into 0 1548149204.448 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548149204.448 * [misc]backup-simplify: Simplify 0 into 0 1548149204.448 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1548149204.448 * [misc]backup-simplify: Simplify 0 into 0 1548149204.449 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1548149204.449 * [misc]backup-simplify: Simplify 0 into 0 1548149204.449 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1548149204.449 * [misc]backup-simplify: Simplify 0 into 0 1548149204.450 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1548149204.450 * [misc]backup-simplify: Simplify 0 into 0 1548149204.450 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1548149204.450 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 1548149204.450 * [misc]approximate: Taking taylor expansion of (* -1/3 N) in (N) around 0 1548149204.450 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1548149204.450 * [misc]taylor: Taking taylor expansion of -1/3 in N 1548149204.450 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548149204.450 * [misc]taylor: Taking taylor expansion of N in N 1548149204.450 * [misc]backup-simplify: Simplify 0 into 0 1548149204.450 * [misc]backup-simplify: Simplify 1 into 1 1548149204.450 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1548149204.450 * [misc]taylor: Taking taylor expansion of -1/3 in N 1548149204.450 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548149204.450 * [misc]taylor: Taking taylor expansion of N in N 1548149204.450 * [misc]backup-simplify: Simplify 0 into 0 1548149204.450 * [misc]backup-simplify: Simplify 1 into 1 1548149204.451 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 1548149204.451 * [misc]backup-simplify: Simplify 0 into 0 1548149204.451 * [misc]backup-simplify: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 1548149204.451 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548149204.451 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 1548149204.451 * [misc]backup-simplify: Simplify 0 into 0 1548149204.452 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548149204.452 * [misc]backup-simplify: Simplify 0 into 0 1548149204.452 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1548149204.452 * [misc]backup-simplify: Simplify 0 into 0 1548149204.452 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1548149204.452 * [misc]backup-simplify: Simplify 0 into 0 1548149204.453 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1548149204.453 * [misc]backup-simplify: Simplify 0 into 0 1548149204.454 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1548149204.454 * [misc]backup-simplify: Simplify 0 into 0 1548149204.454 * [misc]backup-simplify: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 1548149204.454 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1548149204.454 * [misc]backup-simplify: Simplify (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) into (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1548149204.454 * [misc]approximate: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in (N) around 0 1548149204.454 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1548149204.454 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1548149204.454 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1548149204.454 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1548149204.454 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.454 * [misc]taylor: Taking taylor expansion of N in N 1548149204.454 * [misc]backup-simplify: Simplify 0 into 0 1548149204.454 * [misc]backup-simplify: Simplify 1 into 1 1548149204.455 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.455 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.455 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1548149204.455 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1548149204.455 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.455 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.455 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149204.455 * [misc]taylor: Taking taylor expansion of N in N 1548149204.455 * [misc]backup-simplify: Simplify 0 into 0 1548149204.455 * [misc]backup-simplify: Simplify 1 into 1 1548149204.455 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.455 * [misc]taylor: Taking taylor expansion of 1/2 in N 1548149204.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149204.455 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149204.455 * [misc]taylor: Taking taylor expansion of N in N 1548149204.455 * [misc]backup-simplify: Simplify 0 into 0 1548149204.455 * [misc]backup-simplify: Simplify 1 into 1 1548149204.455 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.455 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1548149204.456 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1548149204.456 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1548149204.456 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1548149204.456 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.456 * [misc]taylor: Taking taylor expansion of N in N 1548149204.456 * [misc]backup-simplify: Simplify 0 into 0 1548149204.456 * [misc]backup-simplify: Simplify 1 into 1 1548149204.456 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.456 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.456 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1548149204.456 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1548149204.456 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.456 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.456 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149204.456 * [misc]taylor: Taking taylor expansion of N in N 1548149204.456 * [misc]backup-simplify: Simplify 0 into 0 1548149204.456 * [misc]backup-simplify: Simplify 1 into 1 1548149204.456 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.456 * [misc]taylor: Taking taylor expansion of 1/2 in N 1548149204.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149204.457 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149204.457 * [misc]taylor: Taking taylor expansion of N in N 1548149204.457 * [misc]backup-simplify: Simplify 0 into 0 1548149204.457 * [misc]backup-simplify: Simplify 1 into 1 1548149204.457 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149204.457 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1548149204.457 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548149204.457 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1548149204.457 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548149204.457 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.458 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149204.458 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1548149204.458 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548149204.458 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548149204.458 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1548149204.459 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149204.459 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1548149204.459 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548149204.459 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149204.459 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.460 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1548149204.460 * [misc]backup-simplify: Simplify (- 0) into 0 1548149204.460 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149204.460 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1548149204.461 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149204.461 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1548149204.461 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149204.461 * [misc]backup-simplify: Simplify 1 into 1 1548149204.461 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1548149204.462 * [misc]backup-simplify: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) into (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1548149204.462 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in (N) around 0 1548149204.462 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1548149204.462 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1548149204.462 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1548149204.462 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.462 * [misc]taylor: Taking taylor expansion of N in N 1548149204.462 * [misc]backup-simplify: Simplify 0 into 0 1548149204.462 * [misc]backup-simplify: Simplify 1 into 1 1548149204.462 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1548149204.462 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1548149204.462 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.462 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.462 * [misc]taylor: Taking taylor expansion of N in N 1548149204.462 * [misc]backup-simplify: Simplify 0 into 0 1548149204.462 * [misc]backup-simplify: Simplify 1 into 1 1548149204.462 * [misc]taylor: Taking taylor expansion of 1/2 in N 1548149204.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149204.462 * [misc]taylor: Taking taylor expansion of N in N 1548149204.462 * [misc]backup-simplify: Simplify 0 into 0 1548149204.462 * [misc]backup-simplify: Simplify 1 into 1 1548149204.462 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1548149204.462 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1548149204.463 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1548149204.463 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.463 * [misc]taylor: Taking taylor expansion of N in N 1548149204.463 * [misc]backup-simplify: Simplify 0 into 0 1548149204.463 * [misc]backup-simplify: Simplify 1 into 1 1548149204.463 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1548149204.463 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1548149204.463 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.463 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.463 * [misc]taylor: Taking taylor expansion of N in N 1548149204.463 * [misc]backup-simplify: Simplify 0 into 0 1548149204.463 * [misc]backup-simplify: Simplify 1 into 1 1548149204.463 * [misc]taylor: Taking taylor expansion of 1/2 in N 1548149204.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149204.463 * [misc]taylor: Taking taylor expansion of N in N 1548149204.463 * [misc]backup-simplify: Simplify 0 into 0 1548149204.463 * [misc]backup-simplify: Simplify 1 into 1 1548149204.463 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149204.463 * [misc]backup-simplify: Simplify 0 into 0 1548149204.463 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149204.463 * [misc]backup-simplify: Simplify 1 into 1 1548149204.464 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.464 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1548149204.464 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548149204.464 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548149204.464 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1548149204.464 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548149204.464 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149204.465 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1548149204.465 * [misc]backup-simplify: Simplify (- 0) into 0 1548149204.465 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548149204.465 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1548149204.465 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1548149204.466 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548149204.466 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.466 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149204.466 * [misc]backup-simplify: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1548149204.466 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in (N) around 0 1548149204.466 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1548149204.466 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1548149204.466 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of N in N 1548149204.467 * [misc]backup-simplify: Simplify 0 into 0 1548149204.467 * [misc]backup-simplify: Simplify 1 into 1 1548149204.467 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.467 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.467 * [misc]taylor: Taking taylor expansion of N in N 1548149204.467 * [misc]backup-simplify: Simplify 0 into 0 1548149204.467 * [misc]backup-simplify: Simplify 1 into 1 1548149204.467 * [misc]taylor: Taking taylor expansion of 1/2 in N 1548149204.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149204.467 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of -1 in N 1548149204.467 * [misc]backup-simplify: Simplify -1 into -1 1548149204.467 * [misc]taylor: Taking taylor expansion of N in N 1548149204.467 * [misc]backup-simplify: Simplify 0 into 0 1548149204.467 * [misc]backup-simplify: Simplify 1 into 1 1548149204.467 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1548149204.467 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1548149204.467 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of N in N 1548149204.467 * [misc]backup-simplify: Simplify 0 into 0 1548149204.467 * [misc]backup-simplify: Simplify 1 into 1 1548149204.467 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1548149204.467 * [misc]taylor: Taking taylor expansion of 1/3 in N 1548149204.467 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149204.467 * [misc]taylor: Taking taylor expansion of N in N 1548149204.467 * [misc]backup-simplify: Simplify 0 into 0 1548149204.467 * [misc]backup-simplify: Simplify 1 into 1 1548149204.468 * [misc]taylor: Taking taylor expansion of 1/2 in N 1548149204.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149204.468 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1548149204.468 * [misc]taylor: Taking taylor expansion of -1 in N 1548149204.468 * [misc]backup-simplify: Simplify -1 into -1 1548149204.468 * [misc]taylor: Taking taylor expansion of N in N 1548149204.468 * [misc]backup-simplify: Simplify 0 into 0 1548149204.468 * [misc]backup-simplify: Simplify 1 into 1 1548149204.468 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149204.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149204.468 * [misc]backup-simplify: Simplify 0 into 0 1548149204.468 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1548149204.469 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149204.469 * [misc]backup-simplify: Simplify -1 into -1 1548149204.469 * [misc]backup-simplify: Simplify (* 1 1) into 1 1548149204.469 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1548149204.469 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1548149204.469 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548149204.469 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1548149204.470 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1548149204.470 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548149204.470 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149204.470 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1548149204.470 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548149204.470 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1548149204.471 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1548149204.471 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548149204.471 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1548149204.471 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548149204.471 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1548149204.472 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548149204.472 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149204.472 * * * [misc]progress: simplifying candidates 1548149204.472 * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # 1548149204.472 * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # 1548149204.472 * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # 1548149204.472 * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # 1548149204.473 * [enter]simplify: Simplifying (- 2) 1548149204.473 * * [misc]simplify: iters left: 2 (2 enodes) 1548149204.474 * * [misc]simplify: iters left: 1 (3 enodes) 1548149204.475 * [exit]simplify: Simplified to -2 1548149204.475 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.475 * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # 1548149204.475 * [enter]simplify: Simplifying (- 1) 1548149204.475 * * [misc]simplify: iters left: 2 (2 enodes) 1548149204.476 * * [misc]simplify: iters left: 1 (5 enodes) 1548149204.477 * [exit]simplify: Simplified to -1 1548149204.477 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.477 * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # 1548149204.477 * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # 1548149204.477 * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # 1548149204.477 * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # 1548149204.477 * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # 1548149204.477 * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # 1548149204.477 * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # 1548149204.478 * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # 1548149204.479 * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # 1548149204.479 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1548149204.480 * * [misc]simplify: iters left: 3 (5 enodes) 1548149204.481 * * [misc]simplify: iters left: 2 (8 enodes) 1548149204.483 * * [misc]simplify: iters left: 1 (10 enodes) 1548149204.486 * [exit]simplify: Simplified to (/ 1 (* N N)) 1548149204.486 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.486 * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # 1548149204.486 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1548149204.486 * * [misc]simplify: iters left: 3 (5 enodes) 1548149204.488 * * [misc]simplify: iters left: 2 (8 enodes) 1548149204.491 * * [misc]simplify: iters left: 1 (10 enodes) 1548149204.494 * [exit]simplify: Simplified to (/ 1 (* N N)) 1548149204.494 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.494 * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # 1548149204.495 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1548149204.495 * * [misc]simplify: iters left: 3 (5 enodes) 1548149204.496 * * [misc]simplify: iters left: 2 (8 enodes) 1548149204.499 * * [misc]simplify: iters left: 1 (10 enodes) 1548149204.501 * [exit]simplify: Simplified to (/ 1 (* N N)) 1548149204.501 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.501 * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # 1548149204.501 * [enter]simplify: Simplifying (/ 1/3 N) 1548149204.501 * * [misc]simplify: iters left: 2 (3 enodes) 1548149204.502 * [exit]simplify: Simplified to (/ 1/3 N) 1548149204.502 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.502 * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # 1548149204.503 * [enter]simplify: Simplifying (/ 1/3 N) 1548149204.503 * * [misc]simplify: iters left: 2 (3 enodes) 1548149204.503 * [exit]simplify: Simplified to (/ 1/3 N) 1548149204.503 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.504 * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # 1548149204.504 * [enter]simplify: Simplifying (/ 1/3 N) 1548149204.504 * * [misc]simplify: iters left: 2 (3 enodes) 1548149204.504 * [exit]simplify: Simplified to (/ 1/3 N) 1548149204.505 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.505 * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # 1548149204.505 * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1548149204.505 * * [misc]simplify: iters left: 6 (15 enodes) 1548149204.511 * * [misc]simplify: iters left: 5 (31 enodes) 1548149204.521 * * [misc]simplify: iters left: 4 (61 enodes) 1548149204.538 * * [misc]simplify: iters left: 3 (105 enodes) 1548149204.574 * * [misc]simplify: iters left: 2 (172 enodes) 1548149204.601 * * [misc]simplify: iters left: 1 (230 enodes) 1548149204.641 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) 1548149204.641 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1548149204.641 * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # 1548149204.641 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149204.642 * * [misc]simplify: iters left: 6 (15 enodes) 1548149204.645 * * [misc]simplify: iters left: 5 (32 enodes) 1548149204.653 * * [misc]simplify: iters left: 4 (61 enodes) 1548149204.664 * * [misc]simplify: iters left: 3 (103 enodes) 1548149204.684 * * [misc]simplify: iters left: 2 (168 enodes) 1548149204.712 * * [misc]simplify: iters left: 1 (248 enodes) 1548149204.794 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1548149204.794 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.794 * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # 1548149204.794 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149204.794 * * [misc]simplify: iters left: 6 (15 enodes) 1548149204.801 * * [misc]simplify: iters left: 5 (32 enodes) 1548149204.814 * * [misc]simplify: iters left: 4 (61 enodes) 1548149204.836 * * [misc]simplify: iters left: 3 (103 enodes) 1548149204.872 * * [misc]simplify: iters left: 2 (168 enodes) 1548149204.901 * * [misc]simplify: iters left: 1 (248 enodes) 1548149204.988 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1548149204.988 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149204.988 * * * [misc]progress: adding candidates to table 1548149205.340 * * [misc]progress: iteration 3 / 4 1548149205.340 * * * [misc]progress: picking best candidate 1548149205.359 * * * * [misc]pick: Picked # 1548149205.359 * * * [misc]progress: localizing error 1548149205.370 * * * [misc]progress: generating rewritten candidates 1548149205.370 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1548149205.373 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1548149205.378 * * * [misc]progress: generating series expansions 1548149205.378 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1548149205.379 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1548149205.379 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548149205.379 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548149205.379 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149205.379 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149205.379 * [misc]taylor: Taking taylor expansion of N in N 1548149205.379 * [misc]backup-simplify: Simplify 0 into 0 1548149205.379 * [misc]backup-simplify: Simplify 1 into 1 1548149205.379 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.379 * [misc]backup-simplify: Simplify 1 into 1 1548149205.379 * [misc]taylor: Taking taylor expansion of N in N 1548149205.379 * [misc]backup-simplify: Simplify 0 into 0 1548149205.379 * [misc]backup-simplify: Simplify 1 into 1 1548149205.379 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.379 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.380 * [misc]backup-simplify: Simplify (log 1) into 0 1548149205.380 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548149205.380 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149205.380 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149205.380 * [misc]taylor: Taking taylor expansion of N in N 1548149205.380 * [misc]backup-simplify: Simplify 0 into 0 1548149205.380 * [misc]backup-simplify: Simplify 1 into 1 1548149205.380 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.380 * [misc]backup-simplify: Simplify 1 into 1 1548149205.380 * [misc]taylor: Taking taylor expansion of N in N 1548149205.380 * [misc]backup-simplify: Simplify 0 into 0 1548149205.380 * [misc]backup-simplify: Simplify 1 into 1 1548149205.380 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.380 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.380 * [misc]backup-simplify: Simplify (log 1) into 0 1548149205.381 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548149205.381 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548149205.381 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.381 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548149205.384 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548149205.384 * [misc]backup-simplify: Simplify 1 into 1 1548149205.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.384 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548149205.389 * [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 1548149205.389 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149205.389 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548149205.389 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1548149205.390 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548149205.390 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548149205.390 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149205.390 * [misc]taylor: Taking taylor expansion of N in N 1548149205.390 * [misc]backup-simplify: Simplify 0 into 0 1548149205.390 * [misc]backup-simplify: Simplify 1 into 1 1548149205.390 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149205.390 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.390 * [misc]taylor: Taking taylor expansion of N in N 1548149205.390 * [misc]backup-simplify: Simplify 0 into 0 1548149205.390 * [misc]backup-simplify: Simplify 1 into 1 1548149205.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.390 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.390 * [misc]backup-simplify: Simplify 1 into 1 1548149205.391 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.391 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149205.391 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149205.391 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.392 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149205.392 * [misc]backup-simplify: Simplify (log 1) into 0 1548149205.392 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548149205.392 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149205.392 * [misc]taylor: Taking taylor expansion of N in N 1548149205.392 * [misc]backup-simplify: Simplify 0 into 0 1548149205.392 * [misc]backup-simplify: Simplify 1 into 1 1548149205.392 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149205.392 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.392 * [misc]taylor: Taking taylor expansion of N in N 1548149205.392 * [misc]backup-simplify: Simplify 0 into 0 1548149205.392 * [misc]backup-simplify: Simplify 1 into 1 1548149205.392 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.392 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.392 * [misc]backup-simplify: Simplify 1 into 1 1548149205.393 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.393 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149205.393 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149205.393 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.393 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149205.394 * [misc]backup-simplify: Simplify (log 1) into 0 1548149205.394 * [misc]backup-simplify: Simplify 0 into 0 1548149205.394 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.394 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149205.397 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548149205.397 * [misc]backup-simplify: Simplify 1 into 1 1548149205.398 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.398 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.398 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548149205.403 * [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 1548149205.403 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149205.403 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.404 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548149205.410 * [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 1548149205.410 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548149205.410 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149205.411 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548149205.411 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548149205.411 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548149205.411 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149205.411 * [misc]taylor: Taking taylor expansion of -1 in N 1548149205.411 * [misc]backup-simplify: Simplify -1 into -1 1548149205.411 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149205.411 * [misc]taylor: Taking taylor expansion of N in N 1548149205.411 * [misc]backup-simplify: Simplify 0 into 0 1548149205.411 * [misc]backup-simplify: Simplify 1 into 1 1548149205.411 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149205.411 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.411 * [misc]backup-simplify: Simplify 1 into 1 1548149205.411 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.411 * [misc]taylor: Taking taylor expansion of N in N 1548149205.411 * [misc]backup-simplify: Simplify 0 into 0 1548149205.411 * [misc]backup-simplify: Simplify 1 into 1 1548149205.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.411 * [misc]backup-simplify: Simplify (- 1) into -1 1548149205.411 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149205.412 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149205.412 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149205.412 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149205.412 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.412 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.412 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149205.412 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149205.413 * [misc]backup-simplify: Simplify (log 1) into 0 1548149205.413 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548149205.413 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149205.413 * [misc]taylor: Taking taylor expansion of -1 in N 1548149205.413 * [misc]backup-simplify: Simplify -1 into -1 1548149205.413 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149205.413 * [misc]taylor: Taking taylor expansion of N in N 1548149205.413 * [misc]backup-simplify: Simplify 0 into 0 1548149205.413 * [misc]backup-simplify: Simplify 1 into 1 1548149205.413 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149205.413 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.413 * [misc]backup-simplify: Simplify 1 into 1 1548149205.413 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.413 * [misc]taylor: Taking taylor expansion of N in N 1548149205.413 * [misc]backup-simplify: Simplify 0 into 0 1548149205.413 * [misc]backup-simplify: Simplify 1 into 1 1548149205.413 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.413 * [misc]backup-simplify: Simplify (- 1) into -1 1548149205.413 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149205.413 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149205.414 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149205.414 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149205.414 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.414 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.414 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149205.414 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149205.415 * [misc]backup-simplify: Simplify (log 1) into 0 1548149205.415 * [misc]backup-simplify: Simplify 0 into 0 1548149205.415 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.415 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.415 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149205.416 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149205.418 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548149205.418 * [misc]backup-simplify: Simplify -1 into -1 1548149205.418 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.418 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.419 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.419 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548149205.419 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548149205.423 * [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 1548149205.423 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149205.423 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.423 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.423 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548149205.424 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548149205.430 * [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 1548149205.430 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548149205.430 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149205.430 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1548149205.430 * [misc]backup-simplify: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 1548149205.430 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1548149205.430 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149205.430 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149205.430 * [misc]taylor: Taking taylor expansion of N in N 1548149205.430 * [misc]backup-simplify: Simplify 0 into 0 1548149205.430 * [misc]backup-simplify: Simplify 1 into 1 1548149205.430 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.430 * [misc]backup-simplify: Simplify 1 into 1 1548149205.430 * [misc]taylor: Taking taylor expansion of N in N 1548149205.430 * [misc]backup-simplify: Simplify 0 into 0 1548149205.430 * [misc]backup-simplify: Simplify 1 into 1 1548149205.431 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.431 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149205.431 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149205.431 * [misc]taylor: Taking taylor expansion of N in N 1548149205.431 * [misc]backup-simplify: Simplify 0 into 0 1548149205.431 * [misc]backup-simplify: Simplify 1 into 1 1548149205.431 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.431 * [misc]backup-simplify: Simplify 1 into 1 1548149205.431 * [misc]taylor: Taking taylor expansion of N in N 1548149205.431 * [misc]backup-simplify: Simplify 0 into 0 1548149205.431 * [misc]backup-simplify: Simplify 1 into 1 1548149205.431 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.431 * [misc]backup-simplify: Simplify 1 into 1 1548149205.431 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.432 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548149205.432 * [misc]backup-simplify: Simplify 1 into 1 1548149205.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548149205.432 * [misc]backup-simplify: Simplify 0 into 0 1548149205.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.433 * [misc]backup-simplify: Simplify 0 into 0 1548149205.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.433 * [misc]backup-simplify: Simplify 0 into 0 1548149205.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.434 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.434 * [misc]backup-simplify: Simplify 0 into 0 1548149205.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.434 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.434 * [misc]backup-simplify: Simplify 0 into 0 1548149205.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.435 * [misc]backup-simplify: Simplify 0 into 0 1548149205.435 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1548149205.435 * [misc]backup-simplify: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1548149205.435 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1548149205.435 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149205.435 * [misc]taylor: Taking taylor expansion of N in N 1548149205.435 * [misc]backup-simplify: Simplify 0 into 0 1548149205.435 * [misc]backup-simplify: Simplify 1 into 1 1548149205.435 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149205.435 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.436 * [misc]taylor: Taking taylor expansion of N in N 1548149205.436 * [misc]backup-simplify: Simplify 0 into 0 1548149205.436 * [misc]backup-simplify: Simplify 1 into 1 1548149205.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.436 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.436 * [misc]backup-simplify: Simplify 1 into 1 1548149205.436 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149205.436 * [misc]taylor: Taking taylor expansion of N in N 1548149205.436 * [misc]backup-simplify: Simplify 0 into 0 1548149205.436 * [misc]backup-simplify: Simplify 1 into 1 1548149205.436 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149205.436 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.436 * [misc]taylor: Taking taylor expansion of N in N 1548149205.436 * [misc]backup-simplify: Simplify 0 into 0 1548149205.436 * [misc]backup-simplify: Simplify 1 into 1 1548149205.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.436 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.436 * [misc]backup-simplify: Simplify 1 into 1 1548149205.436 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.436 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149205.436 * [misc]backup-simplify: Simplify 0 into 0 1548149205.437 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149205.437 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149205.437 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149205.437 * [misc]backup-simplify: Simplify 1 into 1 1548149205.437 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149205.438 * [misc]backup-simplify: Simplify 1 into 1 1548149205.438 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548149205.438 * [misc]backup-simplify: Simplify 0 into 0 1548149205.439 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.439 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.439 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548149205.439 * [misc]backup-simplify: Simplify 0 into 0 1548149205.440 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1548149205.440 * [misc]backup-simplify: Simplify 0 into 0 1548149205.441 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.441 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.441 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1548149205.441 * [misc]backup-simplify: Simplify 0 into 0 1548149205.442 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1548149205.443 * [misc]backup-simplify: Simplify 0 into 0 1548149205.443 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.444 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1548149205.444 * [misc]backup-simplify: Simplify 0 into 0 1548149205.444 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1548149205.445 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1548149205.445 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1548149205.445 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149205.445 * [misc]taylor: Taking taylor expansion of -1 in N 1548149205.445 * [misc]backup-simplify: Simplify -1 into -1 1548149205.445 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149205.445 * [misc]taylor: Taking taylor expansion of N in N 1548149205.445 * [misc]backup-simplify: Simplify 0 into 0 1548149205.445 * [misc]backup-simplify: Simplify 1 into 1 1548149205.445 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149205.445 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.445 * [misc]backup-simplify: Simplify 1 into 1 1548149205.445 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.445 * [misc]taylor: Taking taylor expansion of N in N 1548149205.445 * [misc]backup-simplify: Simplify 0 into 0 1548149205.445 * [misc]backup-simplify: Simplify 1 into 1 1548149205.445 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.445 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149205.445 * [misc]taylor: Taking taylor expansion of -1 in N 1548149205.446 * [misc]backup-simplify: Simplify -1 into -1 1548149205.446 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149205.446 * [misc]taylor: Taking taylor expansion of N in N 1548149205.446 * [misc]backup-simplify: Simplify 0 into 0 1548149205.446 * [misc]backup-simplify: Simplify 1 into 1 1548149205.446 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149205.446 * [misc]taylor: Taking taylor expansion of 1 in N 1548149205.446 * [misc]backup-simplify: Simplify 1 into 1 1548149205.446 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149205.446 * [misc]taylor: Taking taylor expansion of N in N 1548149205.446 * [misc]backup-simplify: Simplify 0 into 0 1548149205.446 * [misc]backup-simplify: Simplify 1 into 1 1548149205.446 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149205.446 * [misc]backup-simplify: Simplify (- 1) into -1 1548149205.446 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149205.446 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149205.447 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149205.447 * [misc]backup-simplify: Simplify 0 into 0 1548149205.447 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149205.447 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.447 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149205.447 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149205.448 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149205.448 * [misc]backup-simplify: Simplify 1 into 1 1548149205.448 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.448 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.449 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149205.449 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149205.449 * [misc]backup-simplify: Simplify -1 into -1 1548149205.449 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.450 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.450 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548149205.450 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548149205.450 * [misc]backup-simplify: Simplify 0 into 0 1548149205.451 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.451 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.452 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548149205.452 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548149205.452 * [misc]backup-simplify: Simplify 0 into 0 1548149205.452 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.453 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.453 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1548149205.453 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1548149205.453 * [misc]backup-simplify: Simplify 0 into 0 1548149205.453 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.454 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.454 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1548149205.454 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1548149205.454 * [misc]backup-simplify: Simplify 0 into 0 1548149205.455 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.455 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.455 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1548149205.455 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1548149205.455 * [misc]backup-simplify: Simplify 0 into 0 1548149205.456 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149205.456 * [misc]backup-simplify: Simplify (- 0) into 0 1548149205.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149205.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1548149205.457 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1548149205.457 * [misc]backup-simplify: Simplify 0 into 0 1548149205.457 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1548149205.457 * * * [misc]progress: simplifying candidates 1548149205.457 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1548149205.457 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1548149205.457 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1548149205.457 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548149205.457 * * [misc]simplify: iters left: 6 (7 enodes) 1548149205.458 * * [misc]simplify: iters left: 5 (12 enodes) 1548149205.460 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1548149205.460 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) 1548149205.460 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1548149205.460 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1548149205.460 * * [misc]simplify: iters left: 6 (6 enodes) 1548149205.461 * * [misc]simplify: iters left: 5 (9 enodes) 1548149205.462 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1548149205.462 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1548149205.462 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1548149205.463 * [enter]simplify: Simplifying (log 1) 1548149205.463 * * [misc]simplify: iters left: 1 (2 enodes) 1548149205.463 * [exit]simplify: Simplified to 0 1548149205.464 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 1548149205.464 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1548149205.464 * [enter]simplify: Simplifying (log (+ N 1)) 1548149205.464 * * [misc]simplify: iters left: 3 (4 enodes) 1548149205.464 * * [misc]simplify: iters left: 2 (7 enodes) 1548149205.465 * * [misc]simplify: iters left: 1 (8 enodes) 1548149205.466 * [exit]simplify: Simplified to (log1p N) 1548149205.466 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1548149205.466 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1548149205.466 * [enter]simplify: Simplifying (log (+ N 1)) 1548149205.466 * * [misc]simplify: iters left: 3 (4 enodes) 1548149205.467 * * [misc]simplify: iters left: 2 (7 enodes) 1548149205.468 * * [misc]simplify: iters left: 1 (8 enodes) 1548149205.469 * [exit]simplify: Simplified to (log1p N) 1548149205.469 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1548149205.469 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1548149205.469 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1548149205.469 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1548149205.469 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548149205.469 * * [misc]simplify: iters left: 4 (4 enodes) 1548149205.469 * * [misc]simplify: iters left: 3 (7 enodes) 1548149205.470 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548149205.470 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1548149205.470 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1548149205.470 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1548149205.470 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1548149205.470 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1548149205.471 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1548149205.471 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1548149205.471 * * [misc]simplify: iters left: 5 (5 enodes) 1548149205.472 * * [misc]simplify: iters left: 4 (8 enodes) 1548149205.473 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1548149205.473 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))) 1548149205.473 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1548149205.473 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1548149205.473 * * [misc]simplify: iters left: 3 (4 enodes) 1548149205.476 * * [misc]simplify: iters left: 2 (7 enodes) 1548149205.476 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1548149205.476 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))) 1548149205.477 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1548149205.477 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1548149205.477 * [enter]simplify: Simplifying (+ (pow N 3) (pow 1 3)) 1548149205.477 * * [misc]simplify: iters left: 3 (6 enodes) 1548149205.478 * * [misc]simplify: iters left: 2 (14 enodes) 1548149205.480 * * [misc]simplify: iters left: 1 (16 enodes) 1548149205.481 * [exit]simplify: Simplified to (fma (* N N) N 1) 1548149205.481 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* N N) (- (* 1 1) (* N 1))))))) 1548149205.481 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1548149205.481 * [enter]simplify: Simplifying (- (* N N) (* 1 1)) 1548149205.481 * * [misc]simplify: iters left: 4 (5 enodes) 1548149205.483 * * [misc]simplify: iters left: 3 (12 enodes) 1548149205.484 * * [misc]simplify: iters left: 2 (19 enodes) 1548149205.486 * * [misc]simplify: iters left: 1 (23 enodes) 1548149205.489 * [exit]simplify: Simplified to (fma N N -1) 1548149205.489 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma N N -1) (* N (- N 1))))) 1548149205.489 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1548149205.489 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548149205.489 * * [misc]simplify: iters left: 6 (8 enodes) 1548149205.490 * * [misc]simplify: iters left: 5 (15 enodes) 1548149205.493 * * [misc]simplify: iters left: 4 (29 enodes) 1548149205.497 * * [misc]simplify: iters left: 3 (55 enodes) 1548149205.508 * * [misc]simplify: iters left: 2 (104 enodes) 1548149205.530 * * [misc]simplify: iters left: 1 (143 enodes) 1548149205.561 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1548149205.561 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1548149205.561 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1548149205.561 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149205.561 * * [misc]simplify: iters left: 6 (15 enodes) 1548149205.564 * * [misc]simplify: iters left: 5 (32 enodes) 1548149205.570 * * [misc]simplify: iters left: 4 (61 enodes) 1548149205.580 * * [misc]simplify: iters left: 3 (103 enodes) 1548149205.599 * * [misc]simplify: iters left: 2 (168 enodes) 1548149205.633 * * [misc]simplify: iters left: 1 (248 enodes) 1548149205.705 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1548149205.705 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149205.705 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1548149205.706 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548149205.706 * * [misc]simplify: iters left: 6 (15 enodes) 1548149205.712 * * [misc]simplify: iters left: 5 (32 enodes) 1548149205.727 * * [misc]simplify: iters left: 4 (61 enodes) 1548149205.749 * * [misc]simplify: iters left: 3 (103 enodes) 1548149205.775 * * [misc]simplify: iters left: 2 (168 enodes) 1548149205.807 * * [misc]simplify: iters left: 1 (248 enodes) 1548149205.912 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1548149205.912 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1548149205.912 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1548149205.913 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1548149205.913 * * [misc]simplify: iters left: 4 (4 enodes) 1548149205.914 * * [misc]simplify: iters left: 3 (7 enodes) 1548149205.916 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1548149205.916 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1548149205.916 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1548149205.916 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1548149205.916 * * [misc]simplify: iters left: 4 (4 enodes) 1548149205.917 * * [misc]simplify: iters left: 3 (7 enodes) 1548149205.919 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1548149205.919 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1548149205.919 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1548149205.919 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1548149205.919 * * [misc]simplify: iters left: 4 (4 enodes) 1548149205.921 * * [misc]simplify: iters left: 3 (7 enodes) 1548149205.922 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1548149205.922 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1548149205.922 * * * [misc]progress: adding candidates to table 1548149206.191 * * [misc]progress: iteration 4 / 4 1548149206.191 * * * [misc]progress: picking best candidate 1548149206.207 * * * * [misc]pick: Picked # 1548149206.207 * * * [misc]progress: localizing error 1548149206.224 * * * [misc]progress: generating rewritten candidates 1548149206.224 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1548149206.225 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1548149206.226 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1548149206.227 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1548149206.229 * * * [misc]progress: generating series expansions 1548149206.229 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1548149206.229 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 1548149206.229 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1548149206.229 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1548149206.229 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.229 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.229 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.229 * [misc]taylor: Taking taylor expansion of N in N 1548149206.229 * [misc]backup-simplify: Simplify 0 into 0 1548149206.229 * [misc]backup-simplify: Simplify 1 into 1 1548149206.229 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.229 * [misc]backup-simplify: Simplify 1 into 1 1548149206.229 * [misc]taylor: Taking taylor expansion of N in N 1548149206.229 * [misc]backup-simplify: Simplify 0 into 0 1548149206.229 * [misc]backup-simplify: Simplify 1 into 1 1548149206.229 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.230 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.230 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.230 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.230 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1548149206.230 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1548149206.230 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.230 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.230 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.230 * [misc]taylor: Taking taylor expansion of N in N 1548149206.230 * [misc]backup-simplify: Simplify 0 into 0 1548149206.230 * [misc]backup-simplify: Simplify 1 into 1 1548149206.230 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.230 * [misc]backup-simplify: Simplify 1 into 1 1548149206.230 * [misc]taylor: Taking taylor expansion of N in N 1548149206.230 * [misc]backup-simplify: Simplify 0 into 0 1548149206.230 * [misc]backup-simplify: Simplify 1 into 1 1548149206.231 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.231 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.231 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.231 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1548149206.231 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1548149206.231 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.232 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548149206.232 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548149206.234 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1548149206.234 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.234 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.234 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548149206.235 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548149206.237 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1548149206.237 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.237 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1548149206.237 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1548149206.237 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1548149206.237 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1548149206.237 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.237 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.237 * [misc]taylor: Taking taylor expansion of N in N 1548149206.237 * [misc]backup-simplify: Simplify 0 into 0 1548149206.237 * [misc]backup-simplify: Simplify 1 into 1 1548149206.237 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.237 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.237 * [misc]taylor: Taking taylor expansion of N in N 1548149206.237 * [misc]backup-simplify: Simplify 0 into 0 1548149206.237 * [misc]backup-simplify: Simplify 1 into 1 1548149206.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.238 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.238 * [misc]backup-simplify: Simplify 1 into 1 1548149206.238 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.238 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.238 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.238 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.238 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.238 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.238 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.239 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.239 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.239 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.239 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1548149206.239 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.239 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.239 * [misc]taylor: Taking taylor expansion of N in N 1548149206.239 * [misc]backup-simplify: Simplify 0 into 0 1548149206.239 * [misc]backup-simplify: Simplify 1 into 1 1548149206.239 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.239 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.239 * [misc]taylor: Taking taylor expansion of N in N 1548149206.239 * [misc]backup-simplify: Simplify 0 into 0 1548149206.239 * [misc]backup-simplify: Simplify 1 into 1 1548149206.239 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.239 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.239 * [misc]backup-simplify: Simplify 1 into 1 1548149206.239 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.239 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.240 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.240 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.240 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.240 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.240 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.240 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.240 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.240 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.241 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.241 * [misc]backup-simplify: Simplify 0 into 0 1548149206.242 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1548149206.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149206.243 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.243 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.243 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548149206.244 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1548149206.246 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1548149206.246 * [misc]backup-simplify: Simplify -1/4 into -1/4 1548149206.246 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548149206.247 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1548149206.251 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1548149206.251 * [misc]backup-simplify: Simplify 1/6 into 1/6 1548149206.251 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.251 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1548149206.251 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1548149206.251 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1548149206.251 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.251 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.251 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.251 * [misc]backup-simplify: Simplify -1 into -1 1548149206.251 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.251 * [misc]taylor: Taking taylor expansion of N in N 1548149206.251 * [misc]backup-simplify: Simplify 0 into 0 1548149206.251 * [misc]backup-simplify: Simplify 1 into 1 1548149206.251 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.251 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.251 * [misc]backup-simplify: Simplify 1 into 1 1548149206.251 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.251 * [misc]taylor: Taking taylor expansion of N in N 1548149206.251 * [misc]backup-simplify: Simplify 0 into 0 1548149206.251 * [misc]backup-simplify: Simplify 1 into 1 1548149206.251 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.252 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.252 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.252 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.252 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.252 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.252 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.252 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.252 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.253 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.253 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.253 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.253 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.254 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.254 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.254 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.254 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.254 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1548149206.254 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.254 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.254 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.254 * [misc]backup-simplify: Simplify -1 into -1 1548149206.255 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.255 * [misc]taylor: Taking taylor expansion of N in N 1548149206.255 * [misc]backup-simplify: Simplify 0 into 0 1548149206.255 * [misc]backup-simplify: Simplify 1 into 1 1548149206.255 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.255 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.255 * [misc]backup-simplify: Simplify 1 into 1 1548149206.255 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.255 * [misc]taylor: Taking taylor expansion of N in N 1548149206.255 * [misc]backup-simplify: Simplify 0 into 0 1548149206.255 * [misc]backup-simplify: Simplify 1 into 1 1548149206.255 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.255 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.255 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.255 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.256 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.256 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.256 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.256 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.256 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.257 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.257 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.257 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.257 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.258 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.258 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.258 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.258 * [misc]backup-simplify: Simplify 0 into 0 1548149206.261 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1548149206.261 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149206.261 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.261 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.262 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548149206.262 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548149206.263 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1548149206.267 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1548149206.267 * [misc]backup-simplify: Simplify -1/4 into -1/4 1548149206.268 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.268 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.268 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548149206.269 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548149206.269 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1548149206.276 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1548149206.276 * [misc]backup-simplify: Simplify -1/6 into -1/6 1548149206.276 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.277 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1548149206.277 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 1548149206.277 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1548149206.277 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1548149206.277 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.277 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.277 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.277 * [misc]taylor: Taking taylor expansion of N in N 1548149206.277 * [misc]backup-simplify: Simplify 0 into 0 1548149206.277 * [misc]backup-simplify: Simplify 1 into 1 1548149206.277 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.277 * [misc]backup-simplify: Simplify 1 into 1 1548149206.277 * [misc]taylor: Taking taylor expansion of N in N 1548149206.277 * [misc]backup-simplify: Simplify 0 into 0 1548149206.277 * [misc]backup-simplify: Simplify 1 into 1 1548149206.277 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.277 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.278 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.278 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1548149206.278 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1548149206.278 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.278 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.278 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.279 * [misc]taylor: Taking taylor expansion of N in N 1548149206.279 * [misc]backup-simplify: Simplify 0 into 0 1548149206.279 * [misc]backup-simplify: Simplify 1 into 1 1548149206.279 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.279 * [misc]backup-simplify: Simplify 1 into 1 1548149206.279 * [misc]taylor: Taking taylor expansion of N in N 1548149206.279 * [misc]backup-simplify: Simplify 0 into 0 1548149206.279 * [misc]backup-simplify: Simplify 1 into 1 1548149206.279 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.279 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.279 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.280 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.280 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1548149206.280 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1548149206.280 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.281 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548149206.282 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548149206.284 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1548149206.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.285 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548149206.286 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548149206.290 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1548149206.291 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.291 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1548149206.291 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1548149206.291 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1548149206.291 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1548149206.291 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.291 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.291 * [misc]taylor: Taking taylor expansion of N in N 1548149206.291 * [misc]backup-simplify: Simplify 0 into 0 1548149206.291 * [misc]backup-simplify: Simplify 1 into 1 1548149206.291 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.291 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.291 * [misc]taylor: Taking taylor expansion of N in N 1548149206.291 * [misc]backup-simplify: Simplify 0 into 0 1548149206.291 * [misc]backup-simplify: Simplify 1 into 1 1548149206.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.292 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.292 * [misc]backup-simplify: Simplify 1 into 1 1548149206.292 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.292 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.292 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.292 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.293 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.293 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.293 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.293 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.294 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.294 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.294 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1548149206.294 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.294 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.294 * [misc]taylor: Taking taylor expansion of N in N 1548149206.294 * [misc]backup-simplify: Simplify 0 into 0 1548149206.294 * [misc]backup-simplify: Simplify 1 into 1 1548149206.294 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.294 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.294 * [misc]taylor: Taking taylor expansion of N in N 1548149206.294 * [misc]backup-simplify: Simplify 0 into 0 1548149206.294 * [misc]backup-simplify: Simplify 1 into 1 1548149206.294 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.294 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.294 * [misc]backup-simplify: Simplify 1 into 1 1548149206.294 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.295 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.295 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.295 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.295 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.295 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.296 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.296 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.296 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.296 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.296 * [misc]backup-simplify: Simplify 0 into 0 1548149206.299 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1548149206.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149206.299 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548149206.301 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1548149206.305 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1548149206.305 * [misc]backup-simplify: Simplify -1/4 into -1/4 1548149206.305 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.305 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548149206.306 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1548149206.312 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1548149206.313 * [misc]backup-simplify: Simplify 1/6 into 1/6 1548149206.313 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.313 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1548149206.313 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1548149206.313 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1548149206.313 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.314 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.314 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.314 * [misc]backup-simplify: Simplify -1 into -1 1548149206.314 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.314 * [misc]taylor: Taking taylor expansion of N in N 1548149206.314 * [misc]backup-simplify: Simplify 0 into 0 1548149206.314 * [misc]backup-simplify: Simplify 1 into 1 1548149206.314 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.314 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.314 * [misc]backup-simplify: Simplify 1 into 1 1548149206.314 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.314 * [misc]taylor: Taking taylor expansion of N in N 1548149206.314 * [misc]backup-simplify: Simplify 0 into 0 1548149206.314 * [misc]backup-simplify: Simplify 1 into 1 1548149206.314 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.314 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.314 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.315 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.315 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.315 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.315 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.315 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.316 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.316 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.316 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.316 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.317 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.317 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.317 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.318 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1548149206.318 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.318 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.318 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.318 * [misc]backup-simplify: Simplify -1 into -1 1548149206.318 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.318 * [misc]taylor: Taking taylor expansion of N in N 1548149206.318 * [misc]backup-simplify: Simplify 0 into 0 1548149206.318 * [misc]backup-simplify: Simplify 1 into 1 1548149206.318 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.318 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.318 * [misc]backup-simplify: Simplify 1 into 1 1548149206.318 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.318 * [misc]taylor: Taking taylor expansion of N in N 1548149206.318 * [misc]backup-simplify: Simplify 0 into 0 1548149206.318 * [misc]backup-simplify: Simplify 1 into 1 1548149206.318 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.318 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.318 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.319 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.319 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.319 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.319 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.319 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.319 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.320 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.320 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.320 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.320 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.321 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.321 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.321 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.321 * [misc]backup-simplify: Simplify (log 1) into 0 1548149206.321 * [misc]backup-simplify: Simplify 0 into 0 1548149206.324 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1548149206.324 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149206.325 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.325 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.325 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548149206.326 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548149206.327 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1548149206.337 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1548149206.338 * [misc]backup-simplify: Simplify -1/4 into -1/4 1548149206.338 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.338 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548149206.340 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548149206.340 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1548149206.348 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1548149206.348 * [misc]backup-simplify: Simplify -1/6 into -1/6 1548149206.349 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.349 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1548149206.349 * [misc]backup-simplify: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 1548149206.349 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1548149206.349 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.349 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.349 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.349 * [misc]taylor: Taking taylor expansion of N in N 1548149206.349 * [misc]backup-simplify: Simplify 0 into 0 1548149206.349 * [misc]backup-simplify: Simplify 1 into 1 1548149206.349 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.349 * [misc]backup-simplify: Simplify 1 into 1 1548149206.349 * [misc]taylor: Taking taylor expansion of N in N 1548149206.349 * [misc]backup-simplify: Simplify 0 into 0 1548149206.349 * [misc]backup-simplify: Simplify 1 into 1 1548149206.350 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.350 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.350 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.351 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.351 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.351 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.351 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.351 * [misc]taylor: Taking taylor expansion of N in N 1548149206.351 * [misc]backup-simplify: Simplify 0 into 0 1548149206.351 * [misc]backup-simplify: Simplify 1 into 1 1548149206.351 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.351 * [misc]backup-simplify: Simplify 1 into 1 1548149206.351 * [misc]taylor: Taking taylor expansion of N in N 1548149206.351 * [misc]backup-simplify: Simplify 0 into 0 1548149206.351 * [misc]backup-simplify: Simplify 1 into 1 1548149206.351 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.351 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.352 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.352 * [misc]backup-simplify: Simplify 0 into 0 1548149206.352 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.352 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.352 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548149206.354 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548149206.354 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548149206.355 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548149206.355 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.356 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1548149206.356 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1548149206.356 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1548149206.356 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.356 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.356 * [misc]taylor: Taking taylor expansion of N in N 1548149206.356 * [misc]backup-simplify: Simplify 0 into 0 1548149206.356 * [misc]backup-simplify: Simplify 1 into 1 1548149206.356 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.356 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.356 * [misc]taylor: Taking taylor expansion of N in N 1548149206.356 * [misc]backup-simplify: Simplify 0 into 0 1548149206.356 * [misc]backup-simplify: Simplify 1 into 1 1548149206.356 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.356 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.356 * [misc]backup-simplify: Simplify 1 into 1 1548149206.356 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.357 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.357 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.357 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.357 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.357 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.357 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.357 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.357 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.358 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.358 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.358 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.358 * [misc]taylor: Taking taylor expansion of N in N 1548149206.358 * [misc]backup-simplify: Simplify 0 into 0 1548149206.358 * [misc]backup-simplify: Simplify 1 into 1 1548149206.358 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.358 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.358 * [misc]taylor: Taking taylor expansion of N in N 1548149206.358 * [misc]backup-simplify: Simplify 0 into 0 1548149206.358 * [misc]backup-simplify: Simplify 1 into 1 1548149206.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.358 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.358 * [misc]backup-simplify: Simplify 1 into 1 1548149206.358 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.358 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.358 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.358 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.358 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.358 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.359 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.359 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.359 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.359 * [misc]backup-simplify: Simplify 1 into 1 1548149206.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149206.359 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548149206.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1548149206.360 * [misc]backup-simplify: Simplify -1/8 into -1/8 1548149206.360 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149206.361 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1548149206.361 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548149206.361 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.361 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.361 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.361 * [misc]backup-simplify: Simplify -1 into -1 1548149206.361 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.361 * [misc]taylor: Taking taylor expansion of N in N 1548149206.361 * [misc]backup-simplify: Simplify 0 into 0 1548149206.361 * [misc]backup-simplify: Simplify 1 into 1 1548149206.361 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.361 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.361 * [misc]backup-simplify: Simplify 1 into 1 1548149206.361 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.361 * [misc]taylor: Taking taylor expansion of N in N 1548149206.361 * [misc]backup-simplify: Simplify 0 into 0 1548149206.361 * [misc]backup-simplify: Simplify 1 into 1 1548149206.361 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.361 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.361 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.361 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.361 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.361 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.362 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.362 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.362 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.362 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.362 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.362 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.362 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.362 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.363 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.363 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.363 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.363 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.363 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.363 * [misc]backup-simplify: Simplify -1 into -1 1548149206.363 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.363 * [misc]taylor: Taking taylor expansion of N in N 1548149206.363 * [misc]backup-simplify: Simplify 0 into 0 1548149206.363 * [misc]backup-simplify: Simplify 1 into 1 1548149206.363 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.363 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.363 * [misc]backup-simplify: Simplify 1 into 1 1548149206.363 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.363 * [misc]taylor: Taking taylor expansion of N in N 1548149206.363 * [misc]backup-simplify: Simplify 0 into 0 1548149206.363 * [misc]backup-simplify: Simplify 1 into 1 1548149206.363 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.363 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.363 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.363 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.363 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.364 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.364 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.364 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.364 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.364 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.364 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.364 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.364 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.365 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.365 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.365 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.365 * [misc]backup-simplify: Simplify 1 into 1 1548149206.365 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149206.365 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.365 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.366 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548149206.366 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548149206.367 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1548149206.367 * [misc]backup-simplify: Simplify -1/8 into -1/8 1548149206.367 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149206.367 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1548149206.367 * [misc]backup-simplify: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 1548149206.367 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1548149206.367 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.367 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.367 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.367 * [misc]taylor: Taking taylor expansion of N in N 1548149206.367 * [misc]backup-simplify: Simplify 0 into 0 1548149206.367 * [misc]backup-simplify: Simplify 1 into 1 1548149206.367 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.367 * [misc]backup-simplify: Simplify 1 into 1 1548149206.367 * [misc]taylor: Taking taylor expansion of N in N 1548149206.367 * [misc]backup-simplify: Simplify 0 into 0 1548149206.367 * [misc]backup-simplify: Simplify 1 into 1 1548149206.367 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.368 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.368 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.368 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1548149206.368 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548149206.368 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548149206.368 * [misc]taylor: Taking taylor expansion of N in N 1548149206.368 * [misc]backup-simplify: Simplify 0 into 0 1548149206.368 * [misc]backup-simplify: Simplify 1 into 1 1548149206.368 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.368 * [misc]backup-simplify: Simplify 1 into 1 1548149206.368 * [misc]taylor: Taking taylor expansion of N in N 1548149206.368 * [misc]backup-simplify: Simplify 0 into 0 1548149206.368 * [misc]backup-simplify: Simplify 1 into 1 1548149206.368 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.368 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548149206.369 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548149206.369 * [misc]backup-simplify: Simplify 0 into 0 1548149206.369 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.369 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.369 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548149206.370 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548149206.370 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.370 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548149206.371 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548149206.371 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548149206.371 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1548149206.371 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1548149206.371 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1548149206.371 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.371 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.371 * [misc]taylor: Taking taylor expansion of N in N 1548149206.371 * [misc]backup-simplify: Simplify 0 into 0 1548149206.371 * [misc]backup-simplify: Simplify 1 into 1 1548149206.371 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.371 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.371 * [misc]taylor: Taking taylor expansion of N in N 1548149206.371 * [misc]backup-simplify: Simplify 0 into 0 1548149206.371 * [misc]backup-simplify: Simplify 1 into 1 1548149206.371 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.371 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.371 * [misc]backup-simplify: Simplify 1 into 1 1548149206.372 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.372 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.372 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.372 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.372 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.372 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.372 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.373 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.373 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.373 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1548149206.373 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548149206.373 * [misc]taylor: Taking taylor expansion of N in N 1548149206.373 * [misc]backup-simplify: Simplify 0 into 0 1548149206.373 * [misc]backup-simplify: Simplify 1 into 1 1548149206.373 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548149206.373 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.373 * [misc]taylor: Taking taylor expansion of N in N 1548149206.373 * [misc]backup-simplify: Simplify 0 into 0 1548149206.373 * [misc]backup-simplify: Simplify 1 into 1 1548149206.373 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.373 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.373 * [misc]backup-simplify: Simplify 1 into 1 1548149206.373 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.373 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548149206.373 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.374 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548149206.374 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548149206.374 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.374 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.374 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548149206.375 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1548149206.375 * [misc]backup-simplify: Simplify 1 into 1 1548149206.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548149206.375 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.375 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.375 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548149206.376 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1548149206.376 * [misc]backup-simplify: Simplify -1/8 into -1/8 1548149206.376 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149206.376 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1548149206.376 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548149206.376 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.376 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.376 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.376 * [misc]backup-simplify: Simplify -1 into -1 1548149206.376 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.376 * [misc]taylor: Taking taylor expansion of N in N 1548149206.376 * [misc]backup-simplify: Simplify 0 into 0 1548149206.376 * [misc]backup-simplify: Simplify 1 into 1 1548149206.376 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.376 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.376 * [misc]backup-simplify: Simplify 1 into 1 1548149206.376 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.376 * [misc]taylor: Taking taylor expansion of N in N 1548149206.376 * [misc]backup-simplify: Simplify 0 into 0 1548149206.377 * [misc]backup-simplify: Simplify 1 into 1 1548149206.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.377 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.377 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.377 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.377 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.377 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.377 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.377 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.377 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.378 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.378 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.378 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.378 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.378 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.378 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.378 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.378 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.378 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1548149206.379 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548149206.379 * [misc]taylor: Taking taylor expansion of -1 in N 1548149206.379 * [misc]backup-simplify: Simplify -1 into -1 1548149206.379 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548149206.379 * [misc]taylor: Taking taylor expansion of N in N 1548149206.379 * [misc]backup-simplify: Simplify 0 into 0 1548149206.379 * [misc]backup-simplify: Simplify 1 into 1 1548149206.379 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548149206.379 * [misc]taylor: Taking taylor expansion of 1 in N 1548149206.379 * [misc]backup-simplify: Simplify 1 into 1 1548149206.379 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548149206.379 * [misc]taylor: Taking taylor expansion of N in N 1548149206.379 * [misc]backup-simplify: Simplify 0 into 0 1548149206.379 * [misc]backup-simplify: Simplify 1 into 1 1548149206.379 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548149206.379 * [misc]backup-simplify: Simplify (- 1) into -1 1548149206.379 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548149206.379 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548149206.379 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548149206.379 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548149206.379 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.380 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548149206.380 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548149206.380 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548149206.380 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1548149206.380 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.380 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.380 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548149206.381 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548149206.381 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1548149206.381 * [misc]backup-simplify: Simplify 1 into 1 1548149206.381 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548149206.381 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548149206.381 * [misc]backup-simplify: Simplify (- 0) into 0 1548149206.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548149206.381 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548149206.382 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548149206.382 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1548149206.382 * [misc]backup-simplify: Simplify -1/8 into -1/8 1548149206.383 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149206.383 * * * [misc]progress: simplifying candidates 1548149206.383 * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # 1548149206.383 * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # 1548149206.383 * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # 1548149206.383 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1548149206.383 * * [misc]simplify: iters left: 6 (8 enodes) 1548149206.384 * * [misc]simplify: iters left: 5 (13 enodes) 1548149206.388 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1548149206.389 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))))) 1548149206.389 * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # 1548149206.389 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 1548149206.389 * * [misc]simplify: iters left: 6 (8 enodes) 1548149206.392 * * [misc]simplify: iters left: 5 (12 enodes) 1548149206.395 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 1548149206.395 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))))) 1548149206.395 * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # 1548149206.395 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1548149206.395 * * [misc]simplify: iters left: 6 (7 enodes) 1548149206.397 * * [misc]simplify: iters left: 5 (10 enodes) 1548149206.399 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1548149206.400 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 1548149206.400 * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # 1548149206.400 * [enter]simplify: Simplifying (log (sqrt 1)) 1548149206.400 * * [misc]simplify: iters left: 2 (3 enodes) 1548149206.402 * * [misc]simplify: iters left: 1 (5 enodes) 1548149206.402 * [exit]simplify: Simplified to 0 1548149206.403 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 1548149206.403 * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # 1548149206.403 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548149206.403 * * [misc]simplify: iters left: 4 (5 enodes) 1548149206.404 * * [misc]simplify: iters left: 3 (8 enodes) 1548149206.406 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548149206.406 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))))) 1548149206.406 * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # 1548149206.407 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1548149206.407 * * [misc]simplify: iters left: 6 (7 enodes) 1548149206.409 * * [misc]simplify: iters left: 5 (10 enodes) 1548149206.411 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1548149206.411 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 1548149206.411 * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # 1548149206.412 * [enter]simplify: Simplifying (log 1) 1548149206.412 * * [misc]simplify: iters left: 1 (2 enodes) 1548149206.413 * [exit]simplify: Simplified to 0 1548149206.413 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 1548149206.413 * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # 1548149206.413 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548149206.413 * * [misc]simplify: iters left: 4 (5 enodes) 1548149206.415 * * [misc]simplify: iters left: 3 (8 enodes) 1548149206.417 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548149206.417 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))))) 1548149206.417 * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # 1548149206.417 * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # 1548149206.417 * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # 1548149206.417 * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # 1548149206.417 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1548149206.417 * * [misc]simplify: iters left: 5 (5 enodes) 1548149206.419 * * [misc]simplify: iters left: 4 (8 enodes) 1548149206.421 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1548149206.421 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1548149206.421 * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # 1548149206.421 * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # 1548149206.421 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1548149206.422 * * [misc]simplify: iters left: 6 (8 enodes) 1548149206.424 * * [misc]simplify: iters left: 5 (13 enodes) 1548149206.426 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1548149206.426 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1548149206.426 * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # 1548149206.426 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 1548149206.426 * * [misc]simplify: iters left: 6 (8 enodes) 1548149206.427 * * [misc]simplify: iters left: 5 (12 enodes) 1548149206.429 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 1548149206.429 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1548149206.429 * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # 1548149206.429 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1548149206.429 * * [misc]simplify: iters left: 6 (7 enodes) 1548149206.430 * * [misc]simplify: iters left: 5 (10 enodes) 1548149206.431 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1548149206.431 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1548149206.431 * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # 1548149206.431 * [enter]simplify: Simplifying (log (sqrt 1)) 1548149206.431 * * [misc]simplify: iters left: 2 (3 enodes) 1548149206.432 * * [misc]simplify: iters left: 1 (5 enodes) 1548149206.433 * [exit]simplify: Simplified to 0 1548149206.433 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1548149206.433 * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # 1548149206.433 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548149206.433 * * [misc]simplify: iters left: 4 (5 enodes) 1548149206.434 * * [misc]simplify: iters left: 3 (8 enodes) 1548149206.435 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548149206.435 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 1548149206.435 * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # 1548149206.435 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1548149206.435 * * [misc]simplify: iters left: 6 (7 enodes) 1548149206.436 * * [misc]simplify: iters left: 5 (10 enodes) 1548149206.437 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1548149206.437 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1548149206.437 * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # 1548149206.437 * [enter]simplify: Simplifying (log 1) 1548149206.437 * * [misc]simplify: iters left: 1 (2 enodes) 1548149206.438 * [exit]simplify: Simplified to 0 1548149206.438 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1548149206.438 * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # 1548149206.439 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548149206.439 * * [misc]simplify: iters left: 4 (5 enodes) 1548149206.439 * * [misc]simplify: iters left: 3 (8 enodes) 1548149206.440 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548149206.440 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (/ (+ N 1) N))))) 1548149206.440 * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # 1548149206.440 * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # 1548149206.440 * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # 1548149206.440 * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # 1548149206.440 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1548149206.441 * * [misc]simplify: iters left: 5 (5 enodes) 1548149206.441 * * [misc]simplify: iters left: 4 (8 enodes) 1548149206.442 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1548149206.442 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1548149206.442 * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # 1548149206.443 * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # 1548149206.443 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548149206.443 * * [misc]simplify: iters left: 6 (7 enodes) 1548149206.444 * * [misc]simplify: iters left: 5 (11 enodes) 1548149206.446 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 1548149206.446 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))))) 1548149206.446 * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # 1548149206.446 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 1548149206.446 * * [misc]simplify: iters left: 6 (6 enodes) 1548149206.447 * * [misc]simplify: iters left: 5 (9 enodes) 1548149206.448 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 1548149206.448 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))))) 1548149206.448 * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # 1548149206.448 * [enter]simplify: Simplifying (sqrt 1) 1548149206.448 * * [misc]simplify: iters left: 1 (2 enodes) 1548149206.449 * [exit]simplify: Simplified to 1 1548149206.449 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 1548149206.449 * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # 1548149206.449 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1548149206.449 * * [misc]simplify: iters left: 3 (4 enodes) 1548149206.449 * * [misc]simplify: iters left: 2 (7 enodes) 1548149206.450 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1548149206.450 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))))) 1548149206.450 * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # 1548149206.452 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1548149206.452 * * [misc]simplify: iters left: 3 (4 enodes) 1548149206.452 * * [misc]simplify: iters left: 2 (7 enodes) 1548149206.454 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1548149206.454 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (/ (sqrt (+ 1 N)) (sqrt N))))) 1548149206.454 * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # 1548149206.454 * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # 1548149206.454 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1548149206.454 * * [misc]simplify: iters left: 5 (5 enodes) 1548149206.456 * * [misc]simplify: iters left: 4 (8 enodes) 1548149206.458 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1548149206.458 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (fabs (sqrt (/ (+ 1 N) N)))))) 1548149206.458 * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # 1548149206.458 * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # 1548149206.459 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548149206.459 * * [misc]simplify: iters left: 6 (7 enodes) 1548149206.461 * * [misc]simplify: iters left: 5 (11 enodes) 1548149206.464 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 1548149206.464 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1548149206.464 * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # 1548149206.464 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 1548149206.464 * * [misc]simplify: iters left: 6 (6 enodes) 1548149206.466 * * [misc]simplify: iters left: 5 (9 enodes) 1548149206.468 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 1548149206.468 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1548149206.468 * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # 1548149206.468 * [enter]simplify: Simplifying (sqrt 1) 1548149206.468 * * [misc]simplify: iters left: 1 (2 enodes) 1548149206.470 * [exit]simplify: Simplified to 1 1548149206.470 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1548149206.470 * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # 1548149206.470 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1548149206.470 * * [misc]simplify: iters left: 3 (4 enodes) 1548149206.471 * * [misc]simplify: iters left: 2 (7 enodes) 1548149206.473 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1548149206.473 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 1548149206.473 * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # 1548149206.473 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1548149206.473 * * [misc]simplify: iters left: 3 (4 enodes) 1548149206.475 * * [misc]simplify: iters left: 2 (7 enodes) 1548149206.477 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1548149206.477 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (/ (+ N 1) N))))) 1548149206.477 * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # 1548149206.477 * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # 1548149206.477 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1548149206.477 * * [misc]simplify: iters left: 5 (5 enodes) 1548149206.478 * * [misc]simplify: iters left: 4 (8 enodes) 1548149206.480 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1548149206.480 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ N 1) N))))) 1548149206.481 * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # 1548149206.481 * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # 1548149206.481 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1548149206.481 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) +nan.0)) 1548149206.481 * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # 1548149206.481 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.481 * * [misc]simplify: iters left: 6 (17 enodes) 1548149206.489 * * [misc]simplify: iters left: 5 (37 enodes) 1548149206.505 * * [misc]simplify: iters left: 4 (72 enodes) 1548149206.528 * * [misc]simplify: iters left: 3 (126 enodes) 1548149206.569 * * [misc]simplify: iters left: 2 (206 enodes) 1548149206.608 * * [misc]simplify: iters left: 1 (294 enodes) 1548149206.689 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1548149206.689 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1548149206.689 * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # 1548149206.689 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.690 * * [misc]simplify: iters left: 6 (17 enodes) 1548149206.694 * * [misc]simplify: iters left: 5 (37 enodes) 1548149206.703 * * [misc]simplify: iters left: 4 (72 enodes) 1548149206.721 * * [misc]simplify: iters left: 3 (126 enodes) 1548149206.747 * * [misc]simplify: iters left: 2 (206 enodes) 1548149206.792 * * [misc]simplify: iters left: 1 (294 enodes) 1548149206.873 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1548149206.873 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1548149206.873 * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # 1548149206.873 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1548149206.873 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ N 1) N))))) 1548149206.873 * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # 1548149206.873 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149206.873 * * [misc]simplify: iters left: 6 (17 enodes) 1548149206.877 * * [misc]simplify: iters left: 5 (37 enodes) 1548149206.885 * * [misc]simplify: iters left: 4 (72 enodes) 1548149206.903 * * [misc]simplify: iters left: 3 (126 enodes) 1548149206.950 * * [misc]simplify: iters left: 2 (206 enodes) 1548149206.982 * * [misc]simplify: iters left: 1 (294 enodes) 1548149207.068 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1548149207.068 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ N 1) N))))) 1548149207.068 * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # 1548149207.069 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1548149207.069 * * [misc]simplify: iters left: 6 (17 enodes) 1548149207.076 * * [misc]simplify: iters left: 5 (37 enodes) 1548149207.091 * * [misc]simplify: iters left: 4 (72 enodes) 1548149207.114 * * [misc]simplify: iters left: 3 (126 enodes) 1548149207.138 * * [misc]simplify: iters left: 2 (206 enodes) 1548149207.178 * * [misc]simplify: iters left: 1 (294 enodes) 1548149207.272 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1548149207.272 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ N 1) N))))) 1548149207.273 * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # 1548149207.273 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1548149207.273 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log +nan.0))) 1548149207.273 * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # 1548149207.273 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149207.273 * * [misc]simplify: iters left: 6 (12 enodes) 1548149207.278 * * [misc]simplify: iters left: 5 (27 enodes) 1548149207.288 * * [misc]simplify: iters left: 4 (52 enodes) 1548149207.302 * * [misc]simplify: iters left: 3 (90 enodes) 1548149207.330 * * [misc]simplify: iters left: 2 (135 enodes) 1548149207.352 * * [misc]simplify: iters left: 1 (181 enodes) 1548149207.394 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1548149207.394 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1548149207.394 * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # 1548149207.394 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149207.394 * * [misc]simplify: iters left: 6 (12 enodes) 1548149207.399 * * [misc]simplify: iters left: 5 (27 enodes) 1548149207.409 * * [misc]simplify: iters left: 4 (52 enodes) 1548149207.433 * * [misc]simplify: iters left: 3 (90 enodes) 1548149207.451 * * [misc]simplify: iters left: 2 (135 enodes) 1548149207.476 * * [misc]simplify: iters left: 1 (181 enodes) 1548149207.519 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1548149207.519 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1548149207.519 * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # 1548149207.520 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1548149207.520 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ N 1) N))))) 1548149207.520 * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # 1548149207.520 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149207.520 * * [misc]simplify: iters left: 6 (12 enodes) 1548149207.526 * * [misc]simplify: iters left: 5 (27 enodes) 1548149207.536 * * [misc]simplify: iters left: 4 (52 enodes) 1548149207.556 * * [misc]simplify: iters left: 3 (90 enodes) 1548149207.572 * * [misc]simplify: iters left: 2 (135 enodes) 1548149207.593 * * [misc]simplify: iters left: 1 (181 enodes) 1548149207.628 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1548149207.628 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ N 1) N))))) 1548149207.628 * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # 1548149207.629 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1548149207.629 * * [misc]simplify: iters left: 6 (12 enodes) 1548149207.633 * * [misc]simplify: iters left: 5 (27 enodes) 1548149207.639 * * [misc]simplify: iters left: 4 (52 enodes) 1548149207.650 * * [misc]simplify: iters left: 3 (90 enodes) 1548149207.680 * * [misc]simplify: iters left: 2 (135 enodes) 1548149207.697 * * [misc]simplify: iters left: 1 (181 enodes) 1548149207.732 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1548149207.732 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ N 1) N))))) 1548149207.732 * * * [misc]progress: adding candidates to table 1548149208.416 * [misc]progress: [Phase 3 of 3] Extracting. 1548149208.416 * * [misc]regime: Finding splitpoints for: (# # # #) 1548149208.418 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1548149208.418 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1548149208.476 * * * [misc]regime: Found split indices: #