1545381365.028 * [misc]progress: [Phase 1 of 3] Setting up. 1545381365.028 * * * [misc]progress: [1/2] Preparing points 1545381365.028 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545381365.065 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.065 * * * * [misc]points: Sampling 119 additional inputs, on iter 1 have 137 / 256 1545381365.079 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.079 * * * * [misc]points: Sampling 60 additional inputs, on iter 2 have 196 / 256 1545381365.094 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.094 * * * * [misc]points: Sampling 30 additional inputs, on iter 3 have 226 / 256 1545381365.103 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.103 * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 1545381365.108 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.108 * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 1545381365.110 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.110 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 1545381365.112 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.112 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 1545381365.113 * * * * [misc]points: Filtering points with unrepresentable outputs 1545381365.113 * * * * [exit]points: Sampled 256 points with exact outputs 1545381365.113 * * * [misc]progress: [2/2] Setting up program. 1545381365.116 * [misc]progress: [Phase 2 of 3] Improving. 1545381365.116 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1545381365.116 * * [misc]simplify: iters left: 5 (6 enodes) 1545381365.117 * * [misc]simplify: iters left: 4 (11 enodes) 1545381365.118 * * [misc]simplify: iters left: 3 (12 enodes) 1545381365.120 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) 1545381365.126 * * [misc]progress: iteration 1 / 4 1545381365.126 * * * [misc]progress: picking best candidate 1545381365.129 * * * * [misc]pick: Picked # 1545381365.129 * * * [misc]progress: localizing error 1545381365.175 * * * [misc]progress: generating rewritten candidates 1545381365.175 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) 1545381365.177 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) 1545381365.193 * * * [misc]progress: generating series expansions 1545381365.193 * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) 1545381365.194 * [misc]backup-simplify: Simplify (log (+ 1 N)) into (log (+ N 1)) 1545381365.194 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1545381365.194 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545381365.194 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381365.194 * [misc]taylor: Taking taylor expansion of N in N 1545381365.194 * [misc]backup-simplify: Simplify 0 into 0 1545381365.194 * [misc]backup-simplify: Simplify 1 into 1 1545381365.194 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.194 * [misc]backup-simplify: Simplify 1 into 1 1545381365.194 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381365.194 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.194 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545381365.195 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381365.195 * [misc]taylor: Taking taylor expansion of N in N 1545381365.195 * [misc]backup-simplify: Simplify 0 into 0 1545381365.195 * [misc]backup-simplify: Simplify 1 into 1 1545381365.195 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.195 * [misc]backup-simplify: Simplify 1 into 1 1545381365.195 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381365.195 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.195 * [misc]backup-simplify: Simplify 0 into 0 1545381365.195 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.198 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545381365.198 * [misc]backup-simplify: Simplify 1 into 1 1545381365.198 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.203 * [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 1545381365.203 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381365.204 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.211 * [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 1545381365.211 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545381365.211 * [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))) 1545381365.211 * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (log (+ (/ 1 N) 1)) 1545381365.211 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1545381365.211 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545381365.211 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381365.211 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.211 * [misc]taylor: Taking taylor expansion of N in N 1545381365.211 * [misc]backup-simplify: Simplify 0 into 0 1545381365.211 * [misc]backup-simplify: Simplify 1 into 1 1545381365.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.212 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.212 * [misc]backup-simplify: Simplify 1 into 1 1545381365.212 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.212 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.212 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545381365.212 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381365.212 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.212 * [misc]taylor: Taking taylor expansion of N in N 1545381365.212 * [misc]backup-simplify: Simplify 0 into 0 1545381365.212 * [misc]backup-simplify: Simplify 1 into 1 1545381365.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.213 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.213 * [misc]backup-simplify: Simplify 1 into 1 1545381365.213 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.213 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.213 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545381365.213 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545381365.214 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381365.214 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381365.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545381365.216 * [misc]backup-simplify: Simplify 1 into 1 1545381365.217 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.221 * [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 1545381365.221 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381365.222 * [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)))) 1545381365.222 * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 (- N)))) into (log (- 1 (/ 1 N))) 1545381365.222 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1545381365.222 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545381365.222 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381365.222 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.222 * [misc]backup-simplify: Simplify 1 into 1 1545381365.222 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.222 * [misc]taylor: Taking taylor expansion of N in N 1545381365.222 * [misc]backup-simplify: Simplify 0 into 0 1545381365.222 * [misc]backup-simplify: Simplify 1 into 1 1545381365.222 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.222 * [misc]backup-simplify: Simplify (- 1) into -1 1545381365.223 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381365.223 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545381365.223 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545381365.223 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381365.223 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.223 * [misc]backup-simplify: Simplify 1 into 1 1545381365.223 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.223 * [misc]taylor: Taking taylor expansion of N in N 1545381365.223 * [misc]backup-simplify: Simplify 0 into 0 1545381365.223 * [misc]backup-simplify: Simplify 1 into 1 1545381365.223 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.223 * [misc]backup-simplify: Simplify (- 1) into -1 1545381365.223 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381365.224 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545381365.224 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545381365.224 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1545381365.225 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381365.225 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.225 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.228 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1545381365.228 * [misc]backup-simplify: Simplify -1 into -1 1545381365.228 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.228 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.233 * [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 1545381365.233 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381365.233 * [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)))) 1545381365.234 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) 1545381365.234 * [misc]backup-simplify: Simplify (- (log (+ 1 N)) (log N)) into (- (log (+ N 1)) (log N)) 1545381365.234 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1545381365.234 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1545381365.234 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545381365.234 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381365.234 * [misc]taylor: Taking taylor expansion of N in N 1545381365.234 * [misc]backup-simplify: Simplify 0 into 0 1545381365.234 * [misc]backup-simplify: Simplify 1 into 1 1545381365.234 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.234 * [misc]backup-simplify: Simplify 1 into 1 1545381365.234 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381365.234 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.234 * [misc]taylor: Taking taylor expansion of (log N) in N 1545381365.234 * [misc]taylor: Taking taylor expansion of N in N 1545381365.234 * [misc]backup-simplify: Simplify 0 into 0 1545381365.234 * [misc]backup-simplify: Simplify 1 into 1 1545381365.235 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.235 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1545381365.235 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545381365.235 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381365.235 * [misc]taylor: Taking taylor expansion of N in N 1545381365.235 * [misc]backup-simplify: Simplify 0 into 0 1545381365.235 * [misc]backup-simplify: Simplify 1 into 1 1545381365.235 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.235 * [misc]backup-simplify: Simplify 1 into 1 1545381365.235 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381365.235 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.235 * [misc]taylor: Taking taylor expansion of (log N) in N 1545381365.235 * [misc]taylor: Taking taylor expansion of N in N 1545381365.235 * [misc]backup-simplify: Simplify 0 into 0 1545381365.235 * [misc]backup-simplify: Simplify 1 into 1 1545381365.235 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.236 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545381365.236 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545381365.236 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1545381365.236 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545381365.236 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.239 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545381365.241 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545381365.241 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.241 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.241 * [misc]backup-simplify: Simplify 1 into 1 1545381365.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.246 * [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 1545381365.250 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545381365.250 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.250 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545381365.250 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381365.251 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545381365.251 * [misc]backup-simplify: Simplify (- (log (+ 1 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1545381365.251 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1545381365.251 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1545381365.251 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545381365.251 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381365.251 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.251 * [misc]taylor: Taking taylor expansion of N in N 1545381365.251 * [misc]backup-simplify: Simplify 0 into 0 1545381365.251 * [misc]backup-simplify: Simplify 1 into 1 1545381365.251 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.251 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.251 * [misc]backup-simplify: Simplify 1 into 1 1545381365.251 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.252 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.252 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545381365.252 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.252 * [misc]taylor: Taking taylor expansion of N in N 1545381365.252 * [misc]backup-simplify: Simplify 0 into 0 1545381365.252 * [misc]backup-simplify: Simplify 1 into 1 1545381365.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.252 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.252 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1545381365.252 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545381365.252 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381365.252 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.252 * [misc]taylor: Taking taylor expansion of N in N 1545381365.252 * [misc]backup-simplify: Simplify 0 into 0 1545381365.252 * [misc]backup-simplify: Simplify 1 into 1 1545381365.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.252 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.252 * [misc]backup-simplify: Simplify 1 into 1 1545381365.253 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.253 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.253 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545381365.253 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.253 * [misc]taylor: Taking taylor expansion of N in N 1545381365.253 * [misc]backup-simplify: Simplify 0 into 0 1545381365.253 * [misc]backup-simplify: Simplify 1 into 1 1545381365.253 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.253 * [misc]backup-simplify: Simplify (log 1) into 0 1545381365.254 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545381365.254 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545381365.254 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1545381365.254 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1545381365.254 * [misc]backup-simplify: Simplify 0 into 0 1545381365.254 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381365.254 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381365.257 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545381365.257 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381365.259 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545381365.259 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.260 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.260 * [misc]backup-simplify: Simplify 1 into 1 1545381365.260 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.264 * [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 1545381365.264 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.266 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545381365.266 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.267 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545381365.267 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381365.267 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.271 * [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 1545381365.271 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.275 * [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 1545381365.275 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.275 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545381365.275 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545381365.276 * [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)))) 1545381365.276 * [misc]backup-simplify: Simplify (- (log (+ 1 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1545381365.276 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1545381365.276 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1545381365.276 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545381365.276 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381365.276 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.276 * [misc]backup-simplify: Simplify 1 into 1 1545381365.276 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.276 * [misc]taylor: Taking taylor expansion of N in N 1545381365.276 * [misc]backup-simplify: Simplify 0 into 0 1545381365.276 * [misc]backup-simplify: Simplify 1 into 1 1545381365.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.276 * [misc]backup-simplify: Simplify (- 1) into -1 1545381365.276 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381365.276 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545381365.276 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545381365.276 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545381365.276 * [misc]taylor: Taking taylor expansion of -1 in N 1545381365.276 * [misc]backup-simplify: Simplify -1 into -1 1545381365.276 * [misc]taylor: Taking taylor expansion of N in N 1545381365.276 * [misc]backup-simplify: Simplify 0 into 0 1545381365.276 * [misc]backup-simplify: Simplify 1 into 1 1545381365.277 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545381365.277 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545381365.277 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1545381365.277 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545381365.277 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381365.277 * [misc]taylor: Taking taylor expansion of 1 in N 1545381365.277 * [misc]backup-simplify: Simplify 1 into 1 1545381365.277 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381365.277 * [misc]taylor: Taking taylor expansion of N in N 1545381365.277 * [misc]backup-simplify: Simplify 0 into 0 1545381365.277 * [misc]backup-simplify: Simplify 1 into 1 1545381365.277 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381365.277 * [misc]backup-simplify: Simplify (- 1) into -1 1545381365.277 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381365.277 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545381365.277 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545381365.277 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545381365.277 * [misc]taylor: Taking taylor expansion of -1 in N 1545381365.277 * [misc]backup-simplify: Simplify -1 into -1 1545381365.277 * [misc]taylor: Taking taylor expansion of N in N 1545381365.277 * [misc]backup-simplify: Simplify 0 into 0 1545381365.277 * [misc]backup-simplify: Simplify 1 into 1 1545381365.278 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545381365.278 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545381365.278 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545381365.278 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545381365.278 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1545381365.279 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1545381365.279 * [misc]backup-simplify: Simplify 0 into 0 1545381365.279 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381365.279 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.279 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381365.281 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1545381365.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545381365.282 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545381365.282 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.282 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1545381365.282 * [misc]backup-simplify: Simplify -1 into -1 1545381365.283 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.283 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.285 * [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 1545381365.286 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.288 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545381365.288 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.288 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545381365.288 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381365.289 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.289 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.289 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381365.293 * [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 1545381365.293 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381365.297 * [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 1545381365.297 * [misc]backup-simplify: Simplify (- 0) into 0 1545381365.297 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545381365.297 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545381365.298 * [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)))) 1545381365.298 * * * [misc]progress: simplifying candidates 1545381365.298 * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # 1545381365.298 * [enter]simplify: Simplifying (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1545381365.298 * * [misc]simplify: iters left: 6 (6 enodes) 1545381365.299 * * [misc]simplify: iters left: 5 (11 enodes) 1545381365.301 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1545381365.301 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ 1 N)))) (log N))) 1545381365.301 * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # 1545381365.301 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381365.301 * * [misc]simplify: iters left: 4 (5 enodes) 1545381365.302 * * [misc]simplify: iters left: 3 (8 enodes) 1545381365.305 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381365.305 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ N 1))) (log (sqrt (+ 1 N)))) (log N))) 1545381365.305 * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # 1545381365.306 * [enter]simplify: Simplifying (log 1) 1545381365.306 * * [misc]simplify: iters left: 1 (2 enodes) 1545381365.307 * [exit]simplify: Simplified to 0 1545381365.307 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ 1 N))) (log N))) 1545381365.307 * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # 1545381365.307 * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) 1545381365.307 * * [misc]simplify: iters left: 4 (7 enodes) 1545381365.310 * * [misc]simplify: iters left: 3 (15 enodes) 1545381365.312 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1545381365.312 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (pow N 3))) (log (+ (* 1 1) (- (* N N) (* 1 N))))) (log N))) 1545381365.312 * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # 1545381365.312 * [enter]simplify: Simplifying (log (- (* 1 1) (* N N))) 1545381365.312 * * [misc]simplify: iters left: 5 (6 enodes) 1545381365.313 * * [misc]simplify: iters left: 4 (10 enodes) 1545381365.314 * * [misc]simplify: iters left: 3 (14 enodes) 1545381365.316 * [exit]simplify: Simplified to (log (- 1 (* N N))) 1545381365.316 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- 1 (* N N))) (log (- 1 N))) (log N))) 1545381365.316 * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # 1545381365.316 * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # 1545381365.316 * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # 1545381365.317 * [enter]simplify: Simplifying (+ 1 N) 1545381365.317 * * [misc]simplify: iters left: 2 (3 enodes) 1545381365.317 * * [misc]simplify: iters left: 1 (6 enodes) 1545381365.318 * [exit]simplify: Simplified to (+ N 1) 1545381365.318 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ N 1)) (log N))) 1545381365.318 * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # 1545381365.318 * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # 1545381365.318 * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # 1545381365.318 * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # 1545381365.318 * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # 1545381365.318 * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # 1545381365.318 * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # 1545381365.318 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545381365.318 * * [misc]simplify: iters left: 4 (4 enodes) 1545381365.319 * * [misc]simplify: iters left: 3 (7 enodes) 1545381365.320 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545381365.320 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545381365.320 * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # 1545381365.320 * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # 1545381365.320 * [enter]simplify: Simplifying (+ (sqrt (log (+ 1 N))) (sqrt (log N))) 1545381365.320 * * [misc]simplify: iters left: 6 (8 enodes) 1545381365.322 * * [misc]simplify: iters left: 5 (12 enodes) 1545381365.323 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) 1545381365.323 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ N 1)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 1545381365.323 * [enter]simplify: Simplifying (- (sqrt (log (+ 1 N))) (sqrt (log N))) 1545381365.323 * * [misc]simplify: iters left: 6 (8 enodes) 1545381365.324 * * [misc]simplify: iters left: 5 (13 enodes) 1545381365.326 * * [misc]simplify: iters left: 4 (14 enodes) 1545381365.328 * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) 1545381365.328 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1545381365.328 * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # 1545381365.328 * [enter]simplify: Simplifying (- (log (+ 1 N)) (log N)) 1545381365.328 * * [misc]simplify: iters left: 5 (6 enodes) 1545381365.329 * * [misc]simplify: iters left: 4 (11 enodes) 1545381365.330 * * [misc]simplify: iters left: 3 (12 enodes) 1545381365.332 * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) 1545381365.332 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ N 1)) (log N)))) 1545381365.332 * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # 1545381365.332 * [enter]simplify: Simplifying (- (log (+ 1 N)) (log N)) 1545381365.332 * * [misc]simplify: iters left: 5 (6 enodes) 1545381365.333 * * [misc]simplify: iters left: 4 (11 enodes) 1545381365.335 * * [misc]simplify: iters left: 3 (12 enodes) 1545381365.337 * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) 1545381365.337 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ N 1)) (log N)))) 1545381365.337 * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # 1545381365.337 * [enter]simplify: Simplifying (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1545381365.337 * * [misc]simplify: iters left: 6 (6 enodes) 1545381365.338 * * [misc]simplify: iters left: 5 (11 enodes) 1545381365.340 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1545381365.340 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ 1 N))) (log N)))) 1545381365.340 * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # 1545381365.340 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381365.340 * * [misc]simplify: iters left: 4 (5 enodes) 1545381365.341 * * [misc]simplify: iters left: 3 (8 enodes) 1545381365.342 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381365.342 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ 1 N))) (log N)))) 1545381365.342 * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # 1545381365.342 * [enter]simplify: Simplifying (log 1) 1545381365.342 * * [misc]simplify: iters left: 1 (2 enodes) 1545381365.343 * [exit]simplify: Simplified to 0 1545381365.343 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ 1 N)) (log N)))) 1545381365.343 * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # 1545381365.343 * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) 1545381365.343 * * [misc]simplify: iters left: 4 (7 enodes) 1545381365.345 * * [misc]simplify: iters left: 3 (15 enodes) 1545381365.346 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1545381365.346 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 (pow N 3))) (+ (log (+ (* 1 1) (- (* N N) (* 1 N)))) (log N)))) 1545381365.346 * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # 1545381365.346 * [enter]simplify: Simplifying (log (- (* 1 1) (* N N))) 1545381365.346 * * [misc]simplify: iters left: 5 (6 enodes) 1545381365.348 * * [misc]simplify: iters left: 4 (10 enodes) 1545381365.349 * * [misc]simplify: iters left: 3 (14 enodes) 1545381365.351 * [exit]simplify: Simplified to (log (- 1 (* N N))) 1545381365.351 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- 1 (* N N))) (+ (log (- 1 N)) (log N)))) 1545381365.351 * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # 1545381365.351 * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # 1545381365.351 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1545381365.351 * * [misc]simplify: iters left: 6 (11 enodes) 1545381365.353 * * [misc]simplify: iters left: 5 (21 enodes) 1545381365.357 * * [misc]simplify: iters left: 4 (51 enodes) 1545381365.366 * * [misc]simplify: iters left: 3 (83 enodes) 1545381365.377 * * [misc]simplify: iters left: 2 (112 enodes) 1545381365.405 * * [misc]simplify: iters left: 1 (143 enodes) 1545381365.467 * [exit]simplify: Simplified to (+ (* (- (* N 1/3) 1/2) (* N N)) N) 1545381365.468 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (* (- (* N 1/3) 1/2) (* N N)) N) (log N))) 1545381365.468 * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # 1545381365.468 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1545381365.468 * * [misc]simplify: iters left: 6 (11 enodes) 1545381365.471 * * [misc]simplify: iters left: 5 (26 enodes) 1545381365.475 * * [misc]simplify: iters left: 4 (38 enodes) 1545381365.483 * * [misc]simplify: iters left: 3 (75 enodes) 1545381365.499 * * [misc]simplify: iters left: 2 (133 enodes) 1545381365.520 * * [misc]simplify: iters left: 1 (187 enodes) 1545381365.596 * [exit]simplify: Simplified to (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) 1545381365.596 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) (log N))) 1545381365.596 * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # 1545381365.597 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1545381365.597 * * [misc]simplify: iters left: 6 (15 enodes) 1545381365.600 * * [misc]simplify: iters left: 5 (31 enodes) 1545381365.606 * * [misc]simplify: iters left: 4 (64 enodes) 1545381365.621 * * [misc]simplify: iters left: 3 (156 enodes) 1545381365.711 * * [misc]simplify: iters left: 2 (389 enodes) 1545381365.876 * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) 1545381365.876 * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (log N))) 1545381365.876 * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # 1545381365.876 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545381365.876 * * [misc]simplify: iters left: 6 (8 enodes) 1545381365.879 * * [misc]simplify: iters left: 5 (15 enodes) 1545381365.883 * * [misc]simplify: iters left: 4 (27 enodes) 1545381365.891 * * [misc]simplify: iters left: 3 (52 enodes) 1545381365.905 * * [misc]simplify: iters left: 2 (73 enodes) 1545381365.924 * * [misc]simplify: iters left: 1 (90 enodes) 1545381365.953 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545381365.953 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1545381365.953 * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # 1545381365.953 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545381365.953 * * [misc]simplify: iters left: 6 (15 enodes) 1545381365.960 * * [misc]simplify: iters left: 5 (31 enodes) 1545381365.972 * * [misc]simplify: iters left: 4 (57 enodes) 1545381365.994 * * [misc]simplify: iters left: 3 (89 enodes) 1545381366.021 * * [misc]simplify: iters left: 2 (137 enodes) 1545381366.057 * * [misc]simplify: iters left: 1 (207 enodes) 1545381366.104 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545381366.104 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545381366.104 * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # 1545381366.104 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545381366.104 * * [misc]simplify: iters left: 6 (15 enodes) 1545381366.108 * * [misc]simplify: iters left: 5 (31 enodes) 1545381366.116 * * [misc]simplify: iters left: 4 (57 enodes) 1545381366.126 * * [misc]simplify: iters left: 3 (89 enodes) 1545381366.148 * * [misc]simplify: iters left: 2 (137 enodes) 1545381366.176 * * [misc]simplify: iters left: 1 (207 enodes) 1545381366.214 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545381366.214 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545381366.214 * * * [misc]progress: adding candidates to table 1545381366.514 * * [misc]progress: iteration 2 / 4 1545381366.514 * * * [misc]progress: picking best candidate 1545381366.532 * * * * [misc]pick: Picked # 1545381366.532 * * * [misc]progress: localizing error 1545381366.537 * * * [misc]progress: generating rewritten candidates 1545381366.537 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1545381366.538 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1545381366.540 * * * [misc]progress: generating series expansions 1545381366.540 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1545381366.541 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545381366.541 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545381366.541 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545381366.541 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381366.541 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381366.541 * [misc]taylor: Taking taylor expansion of N in N 1545381366.541 * [misc]backup-simplify: Simplify 0 into 0 1545381366.541 * [misc]backup-simplify: Simplify 1 into 1 1545381366.541 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.541 * [misc]backup-simplify: Simplify 1 into 1 1545381366.541 * [misc]taylor: Taking taylor expansion of N in N 1545381366.541 * [misc]backup-simplify: Simplify 0 into 0 1545381366.541 * [misc]backup-simplify: Simplify 1 into 1 1545381366.541 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.541 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.541 * [misc]backup-simplify: Simplify (log 1) into 0 1545381366.541 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545381366.541 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381366.541 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381366.541 * [misc]taylor: Taking taylor expansion of N in N 1545381366.541 * [misc]backup-simplify: Simplify 0 into 0 1545381366.541 * [misc]backup-simplify: Simplify 1 into 1 1545381366.541 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.541 * [misc]backup-simplify: Simplify 1 into 1 1545381366.541 * [misc]taylor: Taking taylor expansion of N in N 1545381366.541 * [misc]backup-simplify: Simplify 0 into 0 1545381366.541 * [misc]backup-simplify: Simplify 1 into 1 1545381366.542 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.542 * [misc]backup-simplify: Simplify (log 1) into 0 1545381366.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545381366.542 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545381366.542 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.542 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381366.544 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545381366.544 * [misc]backup-simplify: Simplify 1 into 1 1545381366.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381366.547 * [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 1545381366.547 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381366.547 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545381366.547 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545381366.547 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545381366.547 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545381366.547 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381366.547 * [misc]taylor: Taking taylor expansion of N in N 1545381366.547 * [misc]backup-simplify: Simplify 0 into 0 1545381366.547 * [misc]backup-simplify: Simplify 1 into 1 1545381366.547 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381366.547 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.547 * [misc]taylor: Taking taylor expansion of N in N 1545381366.547 * [misc]backup-simplify: Simplify 0 into 0 1545381366.547 * [misc]backup-simplify: Simplify 1 into 1 1545381366.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.547 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.547 * [misc]backup-simplify: Simplify 1 into 1 1545381366.547 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.548 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381366.548 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381366.548 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.548 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381366.548 * [misc]backup-simplify: Simplify (log 1) into 0 1545381366.548 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545381366.548 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381366.548 * [misc]taylor: Taking taylor expansion of N in N 1545381366.548 * [misc]backup-simplify: Simplify 0 into 0 1545381366.548 * [misc]backup-simplify: Simplify 1 into 1 1545381366.548 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381366.548 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.548 * [misc]taylor: Taking taylor expansion of N in N 1545381366.548 * [misc]backup-simplify: Simplify 0 into 0 1545381366.548 * [misc]backup-simplify: Simplify 1 into 1 1545381366.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.549 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.549 * [misc]backup-simplify: Simplify 1 into 1 1545381366.549 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.549 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381366.549 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381366.549 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.549 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381366.549 * [misc]backup-simplify: Simplify (log 1) into 0 1545381366.549 * [misc]backup-simplify: Simplify 0 into 0 1545381366.550 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.550 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.550 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381366.551 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545381366.551 * [misc]backup-simplify: Simplify 1 into 1 1545381366.552 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.552 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.554 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381366.557 * [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 1545381366.557 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381366.557 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.558 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381366.561 * [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 1545381366.561 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545381366.562 * [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)))) 1545381366.562 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545381366.562 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545381366.562 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545381366.562 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381366.562 * [misc]taylor: Taking taylor expansion of -1 in N 1545381366.562 * [misc]backup-simplify: Simplify -1 into -1 1545381366.562 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381366.562 * [misc]taylor: Taking taylor expansion of N in N 1545381366.562 * [misc]backup-simplify: Simplify 0 into 0 1545381366.562 * [misc]backup-simplify: Simplify 1 into 1 1545381366.562 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381366.562 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.562 * [misc]backup-simplify: Simplify 1 into 1 1545381366.562 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.562 * [misc]taylor: Taking taylor expansion of N in N 1545381366.562 * [misc]backup-simplify: Simplify 0 into 0 1545381366.562 * [misc]backup-simplify: Simplify 1 into 1 1545381366.562 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.562 * [misc]backup-simplify: Simplify (- 1) into -1 1545381366.562 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381366.562 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381366.563 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381366.563 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381366.563 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.563 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.563 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381366.563 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381366.563 * [misc]backup-simplify: Simplify (log 1) into 0 1545381366.563 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545381366.563 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381366.563 * [misc]taylor: Taking taylor expansion of -1 in N 1545381366.563 * [misc]backup-simplify: Simplify -1 into -1 1545381366.563 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381366.563 * [misc]taylor: Taking taylor expansion of N in N 1545381366.563 * [misc]backup-simplify: Simplify 0 into 0 1545381366.563 * [misc]backup-simplify: Simplify 1 into 1 1545381366.563 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381366.563 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.563 * [misc]backup-simplify: Simplify 1 into 1 1545381366.563 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.564 * [misc]taylor: Taking taylor expansion of N in N 1545381366.564 * [misc]backup-simplify: Simplify 0 into 0 1545381366.564 * [misc]backup-simplify: Simplify 1 into 1 1545381366.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.564 * [misc]backup-simplify: Simplify (- 1) into -1 1545381366.564 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381366.564 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381366.564 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381366.564 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381366.564 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.564 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.565 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381366.565 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381366.565 * [misc]backup-simplify: Simplify (log 1) into 0 1545381366.565 * [misc]backup-simplify: Simplify 0 into 0 1545381366.565 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.565 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.565 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381366.566 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381366.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545381366.567 * [misc]backup-simplify: Simplify -1 into -1 1545381366.567 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.568 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.568 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381366.568 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381366.572 * [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 1545381366.572 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381366.573 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.573 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381366.574 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381366.580 * [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 1545381366.580 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545381366.581 * [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)))) 1545381366.581 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1545381366.581 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1545381366.581 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1545381366.581 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381366.581 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381366.581 * [misc]taylor: Taking taylor expansion of N in N 1545381366.581 * [misc]backup-simplify: Simplify 0 into 0 1545381366.581 * [misc]backup-simplify: Simplify 1 into 1 1545381366.581 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.581 * [misc]backup-simplify: Simplify 1 into 1 1545381366.581 * [misc]taylor: Taking taylor expansion of N in N 1545381366.581 * [misc]backup-simplify: Simplify 0 into 0 1545381366.581 * [misc]backup-simplify: Simplify 1 into 1 1545381366.582 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.582 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381366.582 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381366.582 * [misc]taylor: Taking taylor expansion of N in N 1545381366.582 * [misc]backup-simplify: Simplify 0 into 0 1545381366.582 * [misc]backup-simplify: Simplify 1 into 1 1545381366.582 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.582 * [misc]backup-simplify: Simplify 1 into 1 1545381366.582 * [misc]taylor: Taking taylor expansion of N in N 1545381366.582 * [misc]backup-simplify: Simplify 0 into 0 1545381366.582 * [misc]backup-simplify: Simplify 1 into 1 1545381366.582 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.582 * [misc]backup-simplify: Simplify 1 into 1 1545381366.583 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.583 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381366.583 * [misc]backup-simplify: Simplify 1 into 1 1545381366.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.583 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381366.583 * [misc]backup-simplify: Simplify 0 into 0 1545381366.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.584 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.584 * [misc]backup-simplify: Simplify 0 into 0 1545381366.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.585 * [misc]backup-simplify: Simplify 0 into 0 1545381366.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.585 * [misc]backup-simplify: Simplify 0 into 0 1545381366.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.586 * [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 1545381366.586 * [misc]backup-simplify: Simplify 0 into 0 1545381366.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.587 * [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 1545381366.587 * [misc]backup-simplify: Simplify 0 into 0 1545381366.587 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1545381366.587 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1545381366.587 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1545381366.587 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381366.587 * [misc]taylor: Taking taylor expansion of N in N 1545381366.587 * [misc]backup-simplify: Simplify 0 into 0 1545381366.587 * [misc]backup-simplify: Simplify 1 into 1 1545381366.587 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381366.587 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.587 * [misc]taylor: Taking taylor expansion of N in N 1545381366.587 * [misc]backup-simplify: Simplify 0 into 0 1545381366.587 * [misc]backup-simplify: Simplify 1 into 1 1545381366.588 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.588 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.588 * [misc]backup-simplify: Simplify 1 into 1 1545381366.588 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381366.588 * [misc]taylor: Taking taylor expansion of N in N 1545381366.588 * [misc]backup-simplify: Simplify 0 into 0 1545381366.588 * [misc]backup-simplify: Simplify 1 into 1 1545381366.588 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381366.588 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.588 * [misc]taylor: Taking taylor expansion of N in N 1545381366.588 * [misc]backup-simplify: Simplify 0 into 0 1545381366.588 * [misc]backup-simplify: Simplify 1 into 1 1545381366.588 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.588 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.588 * [misc]backup-simplify: Simplify 1 into 1 1545381366.588 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.588 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381366.588 * [misc]backup-simplify: Simplify 0 into 0 1545381366.589 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381366.589 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381366.589 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381366.589 * [misc]backup-simplify: Simplify 1 into 1 1545381366.589 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.590 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381366.590 * [misc]backup-simplify: Simplify 1 into 1 1545381366.590 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.591 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381366.591 * [misc]backup-simplify: Simplify 0 into 0 1545381366.591 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.592 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381366.592 * [misc]backup-simplify: Simplify 0 into 0 1545381366.592 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.593 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1545381366.593 * [misc]backup-simplify: Simplify 0 into 0 1545381366.593 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.594 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1545381366.594 * [misc]backup-simplify: Simplify 0 into 0 1545381366.594 * [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 1545381366.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.595 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1545381366.595 * [misc]backup-simplify: Simplify 0 into 0 1545381366.596 * [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 1545381366.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.596 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1545381366.596 * [misc]backup-simplify: Simplify 0 into 0 1545381366.596 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1545381366.596 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1545381366.596 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1545381366.596 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381366.596 * [misc]taylor: Taking taylor expansion of -1 in N 1545381366.596 * [misc]backup-simplify: Simplify -1 into -1 1545381366.596 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381366.596 * [misc]taylor: Taking taylor expansion of N in N 1545381366.596 * [misc]backup-simplify: Simplify 0 into 0 1545381366.596 * [misc]backup-simplify: Simplify 1 into 1 1545381366.596 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381366.596 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.596 * [misc]backup-simplify: Simplify 1 into 1 1545381366.596 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.596 * [misc]taylor: Taking taylor expansion of N in N 1545381366.596 * [misc]backup-simplify: Simplify 0 into 0 1545381366.596 * [misc]backup-simplify: Simplify 1 into 1 1545381366.597 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.597 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381366.597 * [misc]taylor: Taking taylor expansion of -1 in N 1545381366.597 * [misc]backup-simplify: Simplify -1 into -1 1545381366.597 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381366.597 * [misc]taylor: Taking taylor expansion of N in N 1545381366.597 * [misc]backup-simplify: Simplify 0 into 0 1545381366.597 * [misc]backup-simplify: Simplify 1 into 1 1545381366.597 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381366.597 * [misc]taylor: Taking taylor expansion of 1 in N 1545381366.597 * [misc]backup-simplify: Simplify 1 into 1 1545381366.597 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381366.597 * [misc]taylor: Taking taylor expansion of N in N 1545381366.597 * [misc]backup-simplify: Simplify 0 into 0 1545381366.597 * [misc]backup-simplify: Simplify 1 into 1 1545381366.597 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381366.597 * [misc]backup-simplify: Simplify (- 1) into -1 1545381366.597 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381366.597 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381366.597 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381366.597 * [misc]backup-simplify: Simplify 0 into 0 1545381366.597 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381366.598 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.598 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381366.598 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381366.598 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381366.598 * [misc]backup-simplify: Simplify 1 into 1 1545381366.598 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.598 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.598 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381366.599 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381366.599 * [misc]backup-simplify: Simplify -1 into -1 1545381366.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.599 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.599 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381366.599 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381366.599 * [misc]backup-simplify: Simplify 0 into 0 1545381366.600 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.600 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.600 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381366.600 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381366.600 * [misc]backup-simplify: Simplify 0 into 0 1545381366.601 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.601 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.601 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1545381366.601 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1545381366.601 * [misc]backup-simplify: Simplify 0 into 0 1545381366.602 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381366.602 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.602 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1545381366.602 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1545381366.602 * [misc]backup-simplify: Simplify 0 into 0 1545381366.603 * [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 1545381366.603 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.603 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1545381366.603 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1545381366.604 * [misc]backup-simplify: Simplify 0 into 0 1545381366.604 * [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 1545381366.604 * [misc]backup-simplify: Simplify (- 0) into 0 1545381366.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381366.604 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1545381366.605 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1545381366.605 * [misc]backup-simplify: Simplify 0 into 0 1545381366.605 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1545381366.605 * * * [misc]progress: simplifying candidates 1545381366.605 * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # 1545381366.605 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545381366.605 * * [misc]simplify: iters left: 6 (7 enodes) 1545381366.606 * * [misc]simplify: iters left: 5 (12 enodes) 1545381366.608 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545381366.608 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1545381366.608 * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # 1545381366.608 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545381366.608 * * [misc]simplify: iters left: 6 (6 enodes) 1545381366.609 * * [misc]simplify: iters left: 5 (9 enodes) 1545381366.610 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545381366.610 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1545381366.610 * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # 1545381366.610 * [enter]simplify: Simplifying (log 1) 1545381366.610 * * [misc]simplify: iters left: 1 (2 enodes) 1545381366.611 * [exit]simplify: Simplified to 0 1545381366.611 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1545381366.611 * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # 1545381366.611 * [enter]simplify: Simplifying (log (+ 1 N)) 1545381366.611 * * [misc]simplify: iters left: 3 (4 enodes) 1545381366.612 * * [misc]simplify: iters left: 2 (7 enodes) 1545381366.613 * [exit]simplify: Simplified to (log (+ N 1)) 1545381366.613 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (+ N 1)) (log (/ 1 N)))) 1545381366.613 * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # 1545381366.613 * [enter]simplify: Simplifying (log (+ 1 N)) 1545381366.613 * * [misc]simplify: iters left: 3 (4 enodes) 1545381366.614 * * [misc]simplify: iters left: 2 (7 enodes) 1545381366.614 * [exit]simplify: Simplified to (log (+ N 1)) 1545381366.614 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ N 1)) (log N))) 1545381366.615 * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # 1545381366.615 * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # 1545381366.615 * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # 1545381366.615 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545381366.615 * * [misc]simplify: iters left: 4 (4 enodes) 1545381366.615 * * [misc]simplify: iters left: 3 (7 enodes) 1545381366.616 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545381366.616 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545381366.616 * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # 1545381366.616 * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # 1545381366.616 * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # 1545381366.616 * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # 1545381366.616 * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # 1545381366.616 * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # 1545381366.617 * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # 1545381366.617 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1545381366.617 * * [misc]simplify: iters left: 5 (5 enodes) 1545381366.618 * * [misc]simplify: iters left: 4 (8 enodes) 1545381366.619 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1545381366.619 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1545381366.619 * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # 1545381366.619 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545381366.619 * * [misc]simplify: iters left: 3 (4 enodes) 1545381366.620 * * [misc]simplify: iters left: 2 (7 enodes) 1545381366.620 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545381366.620 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1545381366.620 * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # 1545381366.621 * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # 1545381366.621 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1545381366.621 * * [misc]simplify: iters left: 3 (6 enodes) 1545381366.622 * * [misc]simplify: iters left: 2 (14 enodes) 1545381366.625 * [exit]simplify: Simplified to (+ 1 (pow N 3)) 1545381366.625 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (+ 1 (pow N 3)) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1545381366.625 * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # 1545381366.625 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1545381366.625 * * [misc]simplify: iters left: 4 (5 enodes) 1545381366.627 * * [misc]simplify: iters left: 3 (9 enodes) 1545381366.629 * * [misc]simplify: iters left: 2 (13 enodes) 1545381366.632 * [exit]simplify: Simplified to (- 1 (* N N)) 1545381366.633 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1545381366.633 * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # 1545381366.633 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545381366.633 * * [misc]simplify: iters left: 6 (8 enodes) 1545381366.635 * * [misc]simplify: iters left: 5 (15 enodes) 1545381366.640 * * [misc]simplify: iters left: 4 (27 enodes) 1545381366.649 * * [misc]simplify: iters left: 3 (52 enodes) 1545381366.664 * * [misc]simplify: iters left: 2 (73 enodes) 1545381366.684 * * [misc]simplify: iters left: 1 (90 enodes) 1545381366.708 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545381366.708 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1545381366.708 * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # 1545381366.709 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545381366.709 * * [misc]simplify: iters left: 6 (15 enodes) 1545381366.713 * * [misc]simplify: iters left: 5 (31 enodes) 1545381366.721 * * [misc]simplify: iters left: 4 (57 enodes) 1545381366.731 * * [misc]simplify: iters left: 3 (89 enodes) 1545381366.749 * * [misc]simplify: iters left: 2 (137 enodes) 1545381366.792 * * [misc]simplify: iters left: 1 (207 enodes) 1545381366.837 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545381366.837 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545381366.837 * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # 1545381366.837 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545381366.837 * * [misc]simplify: iters left: 6 (15 enodes) 1545381366.841 * * [misc]simplify: iters left: 5 (31 enodes) 1545381366.854 * * [misc]simplify: iters left: 4 (57 enodes) 1545381366.873 * * [misc]simplify: iters left: 3 (89 enodes) 1545381366.899 * * [misc]simplify: iters left: 2 (137 enodes) 1545381366.937 * * [misc]simplify: iters left: 1 (207 enodes) 1545381366.990 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545381366.990 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545381366.990 * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # 1545381366.991 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545381366.991 * * [misc]simplify: iters left: 4 (4 enodes) 1545381366.991 * * [misc]simplify: iters left: 3 (7 enodes) 1545381366.992 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545381366.992 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545381366.992 * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # 1545381366.992 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545381366.992 * * [misc]simplify: iters left: 4 (4 enodes) 1545381366.993 * * [misc]simplify: iters left: 3 (7 enodes) 1545381366.994 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545381366.994 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545381366.994 * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # 1545381366.994 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545381366.994 * * [misc]simplify: iters left: 4 (4 enodes) 1545381366.995 * * [misc]simplify: iters left: 3 (7 enodes) 1545381366.996 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545381366.996 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545381366.996 * * * [misc]progress: adding candidates to table 1545381367.270 * * [misc]progress: iteration 3 / 4 1545381367.270 * * * [misc]progress: picking best candidate 1545381367.276 * * * * [misc]pick: Picked # 1545381367.276 * * * [misc]progress: localizing error 1545381367.285 * * * [misc]progress: generating rewritten candidates 1545381367.285 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1545381367.286 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545381367.287 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1545381367.288 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1545381367.289 * * * [misc]progress: generating series expansions 1545381367.289 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1545381367.290 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545381367.290 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545381367.290 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381367.290 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.290 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.290 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.290 * [misc]taylor: Taking taylor expansion of N in N 1545381367.290 * [misc]backup-simplify: Simplify 0 into 0 1545381367.290 * [misc]backup-simplify: Simplify 1 into 1 1545381367.290 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.290 * [misc]backup-simplify: Simplify 1 into 1 1545381367.290 * [misc]taylor: Taking taylor expansion of N in N 1545381367.290 * [misc]backup-simplify: Simplify 0 into 0 1545381367.290 * [misc]backup-simplify: Simplify 1 into 1 1545381367.290 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.290 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.291 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.291 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381367.291 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381367.291 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.291 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.291 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.291 * [misc]taylor: Taking taylor expansion of N in N 1545381367.291 * [misc]backup-simplify: Simplify 0 into 0 1545381367.291 * [misc]backup-simplify: Simplify 1 into 1 1545381367.291 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.291 * [misc]backup-simplify: Simplify 1 into 1 1545381367.291 * [misc]taylor: Taking taylor expansion of N in N 1545381367.291 * [misc]backup-simplify: Simplify 0 into 0 1545381367.291 * [misc]backup-simplify: Simplify 1 into 1 1545381367.291 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.292 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.292 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.292 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381367.292 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381367.292 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.292 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381367.293 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381367.295 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545381367.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.295 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.295 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381367.296 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381367.298 * [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 1545381367.298 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.298 * [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))))) 1545381367.299 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545381367.299 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545381367.299 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381367.299 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.299 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.299 * [misc]taylor: Taking taylor expansion of N in N 1545381367.299 * [misc]backup-simplify: Simplify 0 into 0 1545381367.299 * [misc]backup-simplify: Simplify 1 into 1 1545381367.299 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.299 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.299 * [misc]taylor: Taking taylor expansion of N in N 1545381367.299 * [misc]backup-simplify: Simplify 0 into 0 1545381367.299 * [misc]backup-simplify: Simplify 1 into 1 1545381367.299 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.299 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.299 * [misc]backup-simplify: Simplify 1 into 1 1545381367.299 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.299 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.299 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.300 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.300 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.300 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.300 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.300 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.300 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.300 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.300 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381367.300 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.301 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.301 * [misc]taylor: Taking taylor expansion of N in N 1545381367.301 * [misc]backup-simplify: Simplify 0 into 0 1545381367.301 * [misc]backup-simplify: Simplify 1 into 1 1545381367.301 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.301 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.301 * [misc]taylor: Taking taylor expansion of N in N 1545381367.301 * [misc]backup-simplify: Simplify 0 into 0 1545381367.301 * [misc]backup-simplify: Simplify 1 into 1 1545381367.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.301 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.301 * [misc]backup-simplify: Simplify 1 into 1 1545381367.301 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.301 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.301 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.301 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.301 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.301 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.302 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.302 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.302 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.302 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.302 * [misc]backup-simplify: Simplify 0 into 0 1545381367.304 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545381367.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381367.304 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.304 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381367.305 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381367.307 * [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 1545381367.308 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381367.308 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.308 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381367.308 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545381367.312 * [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 1545381367.312 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545381367.313 * [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)))) 1545381367.313 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545381367.313 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545381367.313 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381367.313 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.313 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.313 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.313 * [misc]backup-simplify: Simplify -1 into -1 1545381367.313 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.313 * [misc]taylor: Taking taylor expansion of N in N 1545381367.313 * [misc]backup-simplify: Simplify 0 into 0 1545381367.313 * [misc]backup-simplify: Simplify 1 into 1 1545381367.313 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.313 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.313 * [misc]backup-simplify: Simplify 1 into 1 1545381367.313 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.313 * [misc]taylor: Taking taylor expansion of N in N 1545381367.313 * [misc]backup-simplify: Simplify 0 into 0 1545381367.313 * [misc]backup-simplify: Simplify 1 into 1 1545381367.313 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.313 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.313 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.314 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.314 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.314 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.314 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.314 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.314 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.314 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.314 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.315 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.315 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.315 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.315 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.315 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381367.315 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.315 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.315 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.315 * [misc]backup-simplify: Simplify -1 into -1 1545381367.315 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.315 * [misc]taylor: Taking taylor expansion of N in N 1545381367.315 * [misc]backup-simplify: Simplify 0 into 0 1545381367.316 * [misc]backup-simplify: Simplify 1 into 1 1545381367.316 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.316 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.316 * [misc]backup-simplify: Simplify 1 into 1 1545381367.316 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.316 * [misc]taylor: Taking taylor expansion of N in N 1545381367.316 * [misc]backup-simplify: Simplify 0 into 0 1545381367.316 * [misc]backup-simplify: Simplify 1 into 1 1545381367.316 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.316 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.316 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.316 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.316 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.316 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.316 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.316 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.317 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.317 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.317 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.317 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.317 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.318 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.318 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.318 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.318 * [misc]backup-simplify: Simplify 0 into 0 1545381367.319 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545381367.320 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381367.320 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.320 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.320 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381367.321 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381367.322 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381367.325 * [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 1545381367.326 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381367.326 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.326 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.327 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381367.327 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381367.327 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545381367.332 * [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 1545381367.332 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545381367.332 * [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)))) 1545381367.332 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545381367.332 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545381367.332 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545381367.332 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381367.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.332 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.332 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.332 * [misc]taylor: Taking taylor expansion of N in N 1545381367.332 * [misc]backup-simplify: Simplify 0 into 0 1545381367.332 * [misc]backup-simplify: Simplify 1 into 1 1545381367.332 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.332 * [misc]backup-simplify: Simplify 1 into 1 1545381367.332 * [misc]taylor: Taking taylor expansion of N in N 1545381367.332 * [misc]backup-simplify: Simplify 0 into 0 1545381367.332 * [misc]backup-simplify: Simplify 1 into 1 1545381367.333 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.333 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.333 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.333 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.333 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381367.333 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381367.333 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.333 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.333 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.333 * [misc]taylor: Taking taylor expansion of N in N 1545381367.333 * [misc]backup-simplify: Simplify 0 into 0 1545381367.333 * [misc]backup-simplify: Simplify 1 into 1 1545381367.334 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.334 * [misc]backup-simplify: Simplify 1 into 1 1545381367.334 * [misc]taylor: Taking taylor expansion of N in N 1545381367.334 * [misc]backup-simplify: Simplify 0 into 0 1545381367.334 * [misc]backup-simplify: Simplify 1 into 1 1545381367.334 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.334 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.334 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.334 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.334 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381367.334 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381367.335 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.335 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381367.335 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381367.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545381367.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.337 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381367.338 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381367.340 * [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 1545381367.340 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.341 * [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))))) 1545381367.341 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545381367.341 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545381367.341 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381367.341 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.341 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.341 * [misc]taylor: Taking taylor expansion of N in N 1545381367.341 * [misc]backup-simplify: Simplify 0 into 0 1545381367.341 * [misc]backup-simplify: Simplify 1 into 1 1545381367.341 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.341 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.341 * [misc]taylor: Taking taylor expansion of N in N 1545381367.341 * [misc]backup-simplify: Simplify 0 into 0 1545381367.341 * [misc]backup-simplify: Simplify 1 into 1 1545381367.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.341 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.341 * [misc]backup-simplify: Simplify 1 into 1 1545381367.342 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.342 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.342 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.342 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.342 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.342 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.342 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.342 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.343 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.343 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.343 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.343 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381367.343 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.343 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.343 * [misc]taylor: Taking taylor expansion of N in N 1545381367.343 * [misc]backup-simplify: Simplify 0 into 0 1545381367.343 * [misc]backup-simplify: Simplify 1 into 1 1545381367.343 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.343 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.343 * [misc]taylor: Taking taylor expansion of N in N 1545381367.343 * [misc]backup-simplify: Simplify 0 into 0 1545381367.343 * [misc]backup-simplify: Simplify 1 into 1 1545381367.343 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.343 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.343 * [misc]backup-simplify: Simplify 1 into 1 1545381367.344 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.344 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.344 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.344 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.344 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.344 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.345 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.345 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.345 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.345 * [misc]backup-simplify: Simplify 0 into 0 1545381367.347 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545381367.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381367.347 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381367.349 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381367.353 * [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 1545381367.353 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381367.354 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.354 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381367.355 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545381367.361 * [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 1545381367.362 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545381367.362 * [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)))) 1545381367.362 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545381367.362 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545381367.362 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381367.362 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.362 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.362 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.363 * [misc]backup-simplify: Simplify -1 into -1 1545381367.363 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.363 * [misc]taylor: Taking taylor expansion of N in N 1545381367.363 * [misc]backup-simplify: Simplify 0 into 0 1545381367.363 * [misc]backup-simplify: Simplify 1 into 1 1545381367.363 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.363 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.363 * [misc]backup-simplify: Simplify 1 into 1 1545381367.363 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.363 * [misc]taylor: Taking taylor expansion of N in N 1545381367.363 * [misc]backup-simplify: Simplify 0 into 0 1545381367.363 * [misc]backup-simplify: Simplify 1 into 1 1545381367.363 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.363 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.363 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.363 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.364 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.364 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.364 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.364 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.364 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.365 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.365 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.365 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.365 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.366 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.366 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.366 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.366 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.366 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381367.366 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.366 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.366 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.366 * [misc]backup-simplify: Simplify -1 into -1 1545381367.366 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.367 * [misc]taylor: Taking taylor expansion of N in N 1545381367.367 * [misc]backup-simplify: Simplify 0 into 0 1545381367.367 * [misc]backup-simplify: Simplify 1 into 1 1545381367.367 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.367 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.367 * [misc]backup-simplify: Simplify 1 into 1 1545381367.367 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.367 * [misc]taylor: Taking taylor expansion of N in N 1545381367.367 * [misc]backup-simplify: Simplify 0 into 0 1545381367.367 * [misc]backup-simplify: Simplify 1 into 1 1545381367.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.367 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.367 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.367 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.368 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.368 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.368 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.368 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.368 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.369 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.369 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.369 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.369 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.370 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.370 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.370 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.370 * [misc]backup-simplify: Simplify (log 1) into 0 1545381367.370 * [misc]backup-simplify: Simplify 0 into 0 1545381367.376 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545381367.376 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381367.377 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.377 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381367.378 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381367.379 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381367.383 * [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 1545381367.383 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381367.384 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.384 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.384 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381367.385 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381367.385 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545381367.392 * [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 1545381367.392 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545381367.392 * [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)))) 1545381367.392 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1545381367.392 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1545381367.393 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1545381367.393 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.393 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.393 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.393 * [misc]taylor: Taking taylor expansion of N in N 1545381367.393 * [misc]backup-simplify: Simplify 0 into 0 1545381367.393 * [misc]backup-simplify: Simplify 1 into 1 1545381367.393 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.393 * [misc]backup-simplify: Simplify 1 into 1 1545381367.393 * [misc]taylor: Taking taylor expansion of N in N 1545381367.393 * [misc]backup-simplify: Simplify 0 into 0 1545381367.393 * [misc]backup-simplify: Simplify 1 into 1 1545381367.393 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.393 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.393 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.394 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.394 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.394 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.394 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.394 * [misc]taylor: Taking taylor expansion of N in N 1545381367.394 * [misc]backup-simplify: Simplify 0 into 0 1545381367.394 * [misc]backup-simplify: Simplify 1 into 1 1545381367.394 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.394 * [misc]backup-simplify: Simplify 1 into 1 1545381367.394 * [misc]taylor: Taking taylor expansion of N in N 1545381367.394 * [misc]backup-simplify: Simplify 0 into 0 1545381367.394 * [misc]backup-simplify: Simplify 1 into 1 1545381367.394 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.395 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.395 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.395 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.395 * [misc]backup-simplify: Simplify 0 into 0 1545381367.395 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.396 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.396 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381367.397 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381367.397 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.398 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381367.399 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381367.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.399 * [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))))) 1545381367.399 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1545381367.399 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1545381367.399 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.399 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.399 * [misc]taylor: Taking taylor expansion of N in N 1545381367.399 * [misc]backup-simplify: Simplify 0 into 0 1545381367.400 * [misc]backup-simplify: Simplify 1 into 1 1545381367.400 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.400 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.400 * [misc]taylor: Taking taylor expansion of N in N 1545381367.400 * [misc]backup-simplify: Simplify 0 into 0 1545381367.400 * [misc]backup-simplify: Simplify 1 into 1 1545381367.400 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.400 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.400 * [misc]backup-simplify: Simplify 1 into 1 1545381367.400 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.400 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.400 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.401 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.401 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.401 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.401 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.402 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.402 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.402 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.402 * [misc]taylor: Taking taylor expansion of N in N 1545381367.402 * [misc]backup-simplify: Simplify 0 into 0 1545381367.402 * [misc]backup-simplify: Simplify 1 into 1 1545381367.402 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.402 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.402 * [misc]taylor: Taking taylor expansion of N in N 1545381367.402 * [misc]backup-simplify: Simplify 0 into 0 1545381367.402 * [misc]backup-simplify: Simplify 1 into 1 1545381367.402 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.402 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.402 * [misc]backup-simplify: Simplify 1 into 1 1545381367.403 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.403 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.403 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.403 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.403 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.403 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.404 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.404 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.404 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.404 * [misc]backup-simplify: Simplify 1 into 1 1545381367.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381367.405 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.405 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381367.407 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381367.407 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545381367.407 * [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)))) 1545381367.407 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1545381367.407 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545381367.407 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.407 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.407 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.407 * [misc]backup-simplify: Simplify -1 into -1 1545381367.407 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.407 * [misc]taylor: Taking taylor expansion of N in N 1545381367.407 * [misc]backup-simplify: Simplify 0 into 0 1545381367.407 * [misc]backup-simplify: Simplify 1 into 1 1545381367.407 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.407 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.407 * [misc]backup-simplify: Simplify 1 into 1 1545381367.407 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.407 * [misc]taylor: Taking taylor expansion of N in N 1545381367.408 * [misc]backup-simplify: Simplify 0 into 0 1545381367.408 * [misc]backup-simplify: Simplify 1 into 1 1545381367.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.408 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.408 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.408 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.408 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.409 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.409 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.409 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.409 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.409 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.409 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.410 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.410 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.410 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.410 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.411 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.411 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.411 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.411 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.411 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.411 * [misc]backup-simplify: Simplify -1 into -1 1545381367.411 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.411 * [misc]taylor: Taking taylor expansion of N in N 1545381367.411 * [misc]backup-simplify: Simplify 0 into 0 1545381367.411 * [misc]backup-simplify: Simplify 1 into 1 1545381367.411 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.411 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.411 * [misc]backup-simplify: Simplify 1 into 1 1545381367.411 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.411 * [misc]taylor: Taking taylor expansion of N in N 1545381367.411 * [misc]backup-simplify: Simplify 0 into 0 1545381367.411 * [misc]backup-simplify: Simplify 1 into 1 1545381367.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.412 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.412 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.412 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.412 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.412 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.412 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.412 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.413 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.413 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.413 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.413 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.414 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.414 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.414 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.415 * [misc]backup-simplify: Simplify 1 into 1 1545381367.415 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381367.415 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.415 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381367.416 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381367.418 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381367.418 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545381367.418 * [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)))) 1545381367.418 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1545381367.418 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1545381367.418 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1545381367.418 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.418 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.418 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.418 * [misc]taylor: Taking taylor expansion of N in N 1545381367.418 * [misc]backup-simplify: Simplify 0 into 0 1545381367.418 * [misc]backup-simplify: Simplify 1 into 1 1545381367.418 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.418 * [misc]backup-simplify: Simplify 1 into 1 1545381367.418 * [misc]taylor: Taking taylor expansion of N in N 1545381367.418 * [misc]backup-simplify: Simplify 0 into 0 1545381367.418 * [misc]backup-simplify: Simplify 1 into 1 1545381367.419 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.419 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.419 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.420 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.420 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381367.420 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381367.420 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381367.420 * [misc]taylor: Taking taylor expansion of N in N 1545381367.420 * [misc]backup-simplify: Simplify 0 into 0 1545381367.420 * [misc]backup-simplify: Simplify 1 into 1 1545381367.420 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.420 * [misc]backup-simplify: Simplify 1 into 1 1545381367.420 * [misc]taylor: Taking taylor expansion of N in N 1545381367.420 * [misc]backup-simplify: Simplify 0 into 0 1545381367.420 * [misc]backup-simplify: Simplify 1 into 1 1545381367.420 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.420 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381367.421 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381367.421 * [misc]backup-simplify: Simplify 0 into 0 1545381367.421 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.421 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.421 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381367.423 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381367.423 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.423 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.423 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381367.424 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381367.424 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381367.424 * [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))))) 1545381367.425 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1545381367.425 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1545381367.425 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.425 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.425 * [misc]taylor: Taking taylor expansion of N in N 1545381367.425 * [misc]backup-simplify: Simplify 0 into 0 1545381367.425 * [misc]backup-simplify: Simplify 1 into 1 1545381367.425 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.425 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.425 * [misc]taylor: Taking taylor expansion of N in N 1545381367.425 * [misc]backup-simplify: Simplify 0 into 0 1545381367.425 * [misc]backup-simplify: Simplify 1 into 1 1545381367.425 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.425 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.425 * [misc]backup-simplify: Simplify 1 into 1 1545381367.425 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.426 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.426 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.426 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.426 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.426 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.427 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.427 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.427 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.427 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381367.427 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381367.427 * [misc]taylor: Taking taylor expansion of N in N 1545381367.427 * [misc]backup-simplify: Simplify 0 into 0 1545381367.427 * [misc]backup-simplify: Simplify 1 into 1 1545381367.427 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381367.427 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.427 * [misc]taylor: Taking taylor expansion of N in N 1545381367.428 * [misc]backup-simplify: Simplify 0 into 0 1545381367.428 * [misc]backup-simplify: Simplify 1 into 1 1545381367.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.428 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.428 * [misc]backup-simplify: Simplify 1 into 1 1545381367.428 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.428 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381367.428 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.428 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381367.429 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381367.429 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.429 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.430 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381367.430 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381367.430 * [misc]backup-simplify: Simplify 1 into 1 1545381367.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381367.430 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.430 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.431 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381367.432 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381367.432 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545381367.432 * [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)))) 1545381367.432 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1545381367.432 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545381367.432 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.433 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.433 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.433 * [misc]backup-simplify: Simplify -1 into -1 1545381367.433 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.433 * [misc]taylor: Taking taylor expansion of N in N 1545381367.433 * [misc]backup-simplify: Simplify 0 into 0 1545381367.433 * [misc]backup-simplify: Simplify 1 into 1 1545381367.433 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.433 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.433 * [misc]backup-simplify: Simplify 1 into 1 1545381367.433 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.433 * [misc]taylor: Taking taylor expansion of N in N 1545381367.433 * [misc]backup-simplify: Simplify 0 into 0 1545381367.433 * [misc]backup-simplify: Simplify 1 into 1 1545381367.433 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.433 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.433 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.433 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.434 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.434 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.434 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.434 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.434 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.435 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.435 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.435 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.435 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.436 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.436 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.436 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.436 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381367.436 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381367.436 * [misc]taylor: Taking taylor expansion of -1 in N 1545381367.436 * [misc]backup-simplify: Simplify -1 into -1 1545381367.436 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381367.436 * [misc]taylor: Taking taylor expansion of N in N 1545381367.436 * [misc]backup-simplify: Simplify 0 into 0 1545381367.436 * [misc]backup-simplify: Simplify 1 into 1 1545381367.436 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381367.436 * [misc]taylor: Taking taylor expansion of 1 in N 1545381367.436 * [misc]backup-simplify: Simplify 1 into 1 1545381367.436 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381367.436 * [misc]taylor: Taking taylor expansion of N in N 1545381367.436 * [misc]backup-simplify: Simplify 0 into 0 1545381367.437 * [misc]backup-simplify: Simplify 1 into 1 1545381367.437 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381367.437 * [misc]backup-simplify: Simplify (- 1) into -1 1545381367.437 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381367.437 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381367.437 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381367.438 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381367.438 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.438 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381367.438 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381367.439 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381367.439 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381367.439 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.439 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.439 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381367.440 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381367.440 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381367.440 * [misc]backup-simplify: Simplify 1 into 1 1545381367.440 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381367.441 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381367.441 * [misc]backup-simplify: Simplify (- 0) into 0 1545381367.441 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381367.441 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381367.442 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381367.443 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381367.443 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545381367.443 * [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)))) 1545381367.443 * * * [misc]progress: simplifying candidates 1545381367.443 * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # 1545381367.444 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545381367.444 * * [misc]simplify: iters left: 6 (8 enodes) 1545381367.445 * * [misc]simplify: iters left: 5 (13 enodes) 1545381367.447 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545381367.447 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) 1545381367.447 * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # 1545381367.447 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545381367.447 * * [misc]simplify: iters left: 6 (8 enodes) 1545381367.448 * * [misc]simplify: iters left: 5 (12 enodes) 1545381367.450 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545381367.450 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) 1545381367.450 * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # 1545381367.450 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381367.450 * * [misc]simplify: iters left: 6 (7 enodes) 1545381367.451 * * [misc]simplify: iters left: 5 (10 enodes) 1545381367.452 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381367.452 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1545381367.452 * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # 1545381367.453 * [enter]simplify: Simplifying (log (sqrt 1)) 1545381367.453 * * [misc]simplify: iters left: 2 (3 enodes) 1545381367.454 * * [misc]simplify: iters left: 1 (5 enodes) 1545381367.454 * [exit]simplify: Simplified to 0 1545381367.454 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1545381367.454 * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # 1545381367.455 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381367.455 * * [misc]simplify: iters left: 4 (5 enodes) 1545381367.455 * * [misc]simplify: iters left: 3 (8 enodes) 1545381367.456 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381367.456 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) 1545381367.456 * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # 1545381367.457 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381367.457 * * [misc]simplify: iters left: 6 (7 enodes) 1545381367.458 * * [misc]simplify: iters left: 5 (10 enodes) 1545381367.459 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381367.459 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1545381367.459 * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # 1545381367.459 * [enter]simplify: Simplifying (log 1) 1545381367.459 * * [misc]simplify: iters left: 1 (2 enodes) 1545381367.460 * [exit]simplify: Simplified to 0 1545381367.460 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1545381367.460 * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # 1545381367.460 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381367.460 * * [misc]simplify: iters left: 4 (5 enodes) 1545381367.461 * * [misc]simplify: iters left: 3 (8 enodes) 1545381367.462 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381367.462 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (- (log (sqrt (+ N 1))) (log (sqrt N))))) 1545381367.462 * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # 1545381367.462 * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # 1545381367.462 * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # 1545381367.462 * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # 1545381367.462 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381367.462 * * [misc]simplify: iters left: 5 (5 enodes) 1545381367.463 * * [misc]simplify: iters left: 4 (8 enodes) 1545381367.464 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381367.464 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1545381367.464 * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # 1545381367.464 * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # 1545381367.464 * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # 1545381367.465 * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # 1545381367.465 * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # 1545381367.465 * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # 1545381367.465 * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # 1545381367.465 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545381367.465 * * [misc]simplify: iters left: 6 (8 enodes) 1545381367.466 * * [misc]simplify: iters left: 5 (13 enodes) 1545381367.468 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545381367.468 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.468 * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # 1545381367.468 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545381367.468 * * [misc]simplify: iters left: 6 (8 enodes) 1545381367.469 * * [misc]simplify: iters left: 5 (12 enodes) 1545381367.471 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545381367.471 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.471 * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # 1545381367.471 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381367.471 * * [misc]simplify: iters left: 6 (7 enodes) 1545381367.472 * * [misc]simplify: iters left: 5 (10 enodes) 1545381367.474 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381367.474 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.474 * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # 1545381367.474 * [enter]simplify: Simplifying (log (sqrt 1)) 1545381367.474 * * [misc]simplify: iters left: 2 (3 enodes) 1545381367.475 * * [misc]simplify: iters left: 1 (5 enodes) 1545381367.476 * [exit]simplify: Simplified to 0 1545381367.476 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.476 * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # 1545381367.476 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381367.476 * * [misc]simplify: iters left: 4 (5 enodes) 1545381367.477 * * [misc]simplify: iters left: 3 (8 enodes) 1545381367.478 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381367.478 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.478 * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # 1545381367.478 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381367.478 * * [misc]simplify: iters left: 6 (7 enodes) 1545381367.479 * * [misc]simplify: iters left: 5 (10 enodes) 1545381367.480 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381367.480 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.480 * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # 1545381367.481 * [enter]simplify: Simplifying (log 1) 1545381367.481 * * [misc]simplify: iters left: 1 (2 enodes) 1545381367.481 * [exit]simplify: Simplified to 0 1545381367.482 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.482 * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # 1545381367.482 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381367.482 * * [misc]simplify: iters left: 4 (5 enodes) 1545381367.482 * * [misc]simplify: iters left: 3 (8 enodes) 1545381367.483 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381367.484 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.484 * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # 1545381367.484 * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # 1545381367.484 * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # 1545381367.484 * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # 1545381367.484 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381367.484 * * [misc]simplify: iters left: 5 (5 enodes) 1545381367.485 * * [misc]simplify: iters left: 4 (8 enodes) 1545381367.486 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381367.486 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.486 * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # 1545381367.486 * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # 1545381367.486 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545381367.486 * * [misc]simplify: iters left: 6 (7 enodes) 1545381367.488 * * [misc]simplify: iters left: 5 (11 enodes) 1545381367.491 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1545381367.491 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))))) 1545381367.491 * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # 1545381367.491 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1545381367.491 * * [misc]simplify: iters left: 6 (6 enodes) 1545381367.493 * * [misc]simplify: iters left: 5 (9 enodes) 1545381367.495 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1545381367.495 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))))) 1545381367.495 * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # 1545381367.495 * [enter]simplify: Simplifying (sqrt 1) 1545381367.495 * * [misc]simplify: iters left: 1 (2 enodes) 1545381367.498 * [exit]simplify: Simplified to 1 1545381367.498 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* 1 (sqrt (/ (+ 1 N) N)))))) 1545381367.498 * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # 1545381367.498 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545381367.498 * * [misc]simplify: iters left: 3 (4 enodes) 1545381367.499 * * [misc]simplify: iters left: 2 (7 enodes) 1545381367.500 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545381367.500 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))))) 1545381367.500 * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # 1545381367.500 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545381367.500 * * [misc]simplify: iters left: 3 (4 enodes) 1545381367.501 * * [misc]simplify: iters left: 2 (7 enodes) 1545381367.502 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545381367.502 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 1545381367.502 * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # 1545381367.502 * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # 1545381367.502 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381367.502 * * [misc]simplify: iters left: 5 (5 enodes) 1545381367.503 * * [misc]simplify: iters left: 4 (8 enodes) 1545381367.504 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381367.504 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (fabs (sqrt (/ (+ N 1) N)))))) 1545381367.504 * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # 1545381367.504 * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # 1545381367.504 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545381367.504 * * [misc]simplify: iters left: 6 (7 enodes) 1545381367.505 * * [misc]simplify: iters left: 5 (11 enodes) 1545381367.507 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1545381367.507 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.507 * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # 1545381367.507 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1545381367.507 * * [misc]simplify: iters left: 6 (6 enodes) 1545381367.508 * * [misc]simplify: iters left: 5 (9 enodes) 1545381367.509 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1545381367.509 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.509 * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # 1545381367.509 * [enter]simplify: Simplifying (sqrt 1) 1545381367.509 * * [misc]simplify: iters left: 1 (2 enodes) 1545381367.510 * [exit]simplify: Simplified to 1 1545381367.510 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.510 * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # 1545381367.510 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545381367.510 * * [misc]simplify: iters left: 3 (4 enodes) 1545381367.511 * * [misc]simplify: iters left: 2 (7 enodes) 1545381367.512 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545381367.512 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.512 * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # 1545381367.512 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545381367.512 * * [misc]simplify: iters left: 3 (4 enodes) 1545381367.513 * * [misc]simplify: iters left: 2 (7 enodes) 1545381367.514 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545381367.514 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.514 * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # 1545381367.514 * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # 1545381367.514 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381367.514 * * [misc]simplify: iters left: 5 (5 enodes) 1545381367.515 * * [misc]simplify: iters left: 4 (8 enodes) 1545381367.516 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381367.516 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.516 * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # 1545381367.516 * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # 1545381367.516 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545381367.516 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) +nan.0)) 1545381367.516 * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # 1545381367.516 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381367.516 * * [misc]simplify: iters left: 6 (17 enodes) 1545381367.521 * * [misc]simplify: iters left: 5 (36 enodes) 1545381367.530 * * [misc]simplify: iters left: 4 (64 enodes) 1545381367.545 * * [misc]simplify: iters left: 3 (100 enodes) 1545381367.573 * * [misc]simplify: iters left: 2 (153 enodes) 1545381367.592 * * [misc]simplify: iters left: 1 (211 enodes) 1545381367.628 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381367.628 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))) 1545381367.628 * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # 1545381367.628 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381367.628 * * [misc]simplify: iters left: 6 (17 enodes) 1545381367.637 * * [misc]simplify: iters left: 5 (36 enodes) 1545381367.652 * * [misc]simplify: iters left: 4 (64 enodes) 1545381367.667 * * [misc]simplify: iters left: 3 (100 enodes) 1545381367.684 * * [misc]simplify: iters left: 2 (153 enodes) 1545381367.706 * * [misc]simplify: iters left: 1 (211 enodes) 1545381367.739 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381367.739 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))) 1545381367.739 * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # 1545381367.739 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545381367.739 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ 1 N) N))))) 1545381367.739 * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # 1545381367.739 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381367.739 * * [misc]simplify: iters left: 6 (17 enodes) 1545381367.744 * * [misc]simplify: iters left: 5 (36 enodes) 1545381367.758 * * [misc]simplify: iters left: 4 (64 enodes) 1545381367.779 * * [misc]simplify: iters left: 3 (100 enodes) 1545381367.801 * * [misc]simplify: iters left: 2 (153 enodes) 1545381367.819 * * [misc]simplify: iters left: 1 (211 enodes) 1545381367.853 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381367.853 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.853 * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # 1545381367.853 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381367.854 * * [misc]simplify: iters left: 6 (17 enodes) 1545381367.858 * * [misc]simplify: iters left: 5 (36 enodes) 1545381367.872 * * [misc]simplify: iters left: 4 (64 enodes) 1545381367.894 * * [misc]simplify: iters left: 3 (100 enodes) 1545381367.914 * * [misc]simplify: iters left: 2 (153 enodes) 1545381367.933 * * [misc]simplify: iters left: 1 (211 enodes) 1545381367.973 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381367.974 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381367.974 * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # 1545381367.974 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1545381367.974 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log +nan.0))) 1545381367.974 * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # 1545381367.974 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545381367.974 * * [misc]simplify: iters left: 6 (12 enodes) 1545381367.978 * * [misc]simplify: iters left: 5 (26 enodes) 1545381367.984 * * [misc]simplify: iters left: 4 (48 enodes) 1545381367.993 * * [misc]simplify: iters left: 3 (76 enodes) 1545381368.006 * * [misc]simplify: iters left: 2 (103 enodes) 1545381368.023 * * [misc]simplify: iters left: 1 (142 enodes) 1545381368.063 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545381368.063 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1545381368.063 * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # 1545381368.064 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545381368.064 * * [misc]simplify: iters left: 6 (12 enodes) 1545381368.069 * * [misc]simplify: iters left: 5 (26 enodes) 1545381368.075 * * [misc]simplify: iters left: 4 (48 enodes) 1545381368.084 * * [misc]simplify: iters left: 3 (76 enodes) 1545381368.101 * * [misc]simplify: iters left: 2 (103 enodes) 1545381368.130 * * [misc]simplify: iters left: 1 (142 enodes) 1545381368.170 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545381368.170 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1545381368.170 * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # 1545381368.170 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1545381368.170 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ 1 N) N))))) 1545381368.170 * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # 1545381368.171 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545381368.171 * * [misc]simplify: iters left: 6 (12 enodes) 1545381368.176 * * [misc]simplify: iters left: 5 (26 enodes) 1545381368.182 * * [misc]simplify: iters left: 4 (48 enodes) 1545381368.193 * * [misc]simplify: iters left: 3 (76 enodes) 1545381368.206 * * [misc]simplify: iters left: 2 (103 enodes) 1545381368.234 * * [misc]simplify: iters left: 1 (142 enodes) 1545381368.273 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545381368.273 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381368.274 * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # 1545381368.274 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545381368.274 * * [misc]simplify: iters left: 6 (12 enodes) 1545381368.280 * * [misc]simplify: iters left: 5 (26 enodes) 1545381368.290 * * [misc]simplify: iters left: 4 (48 enodes) 1545381368.308 * * [misc]simplify: iters left: 3 (76 enodes) 1545381368.323 * * [misc]simplify: iters left: 2 (103 enodes) 1545381368.338 * * [misc]simplify: iters left: 1 (142 enodes) 1545381368.358 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545381368.358 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1545381368.358 * * * [misc]progress: adding candidates to table 1545381369.052 * * [misc]progress: iteration 4 / 4 1545381369.052 * * * [misc]progress: picking best candidate 1545381369.058 * * * * [misc]pick: Picked # 1545381369.058 * * * [misc]progress: localizing error 1545381369.070 * * * [misc]progress: generating rewritten candidates 1545381369.070 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1545381369.071 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1545381369.072 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1545381369.073 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1545381369.078 * * * [misc]progress: generating series expansions 1545381369.078 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1545381369.078 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545381369.078 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545381369.078 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.078 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.078 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.078 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.078 * [misc]taylor: Taking taylor expansion of N in N 1545381369.078 * [misc]backup-simplify: Simplify 0 into 0 1545381369.078 * [misc]backup-simplify: Simplify 1 into 1 1545381369.078 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.078 * [misc]backup-simplify: Simplify 1 into 1 1545381369.078 * [misc]taylor: Taking taylor expansion of N in N 1545381369.078 * [misc]backup-simplify: Simplify 0 into 0 1545381369.078 * [misc]backup-simplify: Simplify 1 into 1 1545381369.079 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.079 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.079 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.079 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.079 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.079 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.079 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.079 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.080 * [misc]taylor: Taking taylor expansion of N in N 1545381369.080 * [misc]backup-simplify: Simplify 0 into 0 1545381369.080 * [misc]backup-simplify: Simplify 1 into 1 1545381369.080 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.080 * [misc]backup-simplify: Simplify 1 into 1 1545381369.080 * [misc]taylor: Taking taylor expansion of N in N 1545381369.080 * [misc]backup-simplify: Simplify 0 into 0 1545381369.080 * [misc]backup-simplify: Simplify 1 into 1 1545381369.080 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.080 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.080 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.080 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.080 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.081 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.081 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.081 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381369.082 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381369.083 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545381369.083 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.083 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381369.084 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381369.086 * [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 1545381369.086 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.087 * [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))))) 1545381369.087 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545381369.087 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545381369.087 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.087 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.087 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.087 * [misc]taylor: Taking taylor expansion of N in N 1545381369.087 * [misc]backup-simplify: Simplify 0 into 0 1545381369.087 * [misc]backup-simplify: Simplify 1 into 1 1545381369.087 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.087 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.087 * [misc]taylor: Taking taylor expansion of N in N 1545381369.087 * [misc]backup-simplify: Simplify 0 into 0 1545381369.087 * [misc]backup-simplify: Simplify 1 into 1 1545381369.087 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.087 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.087 * [misc]backup-simplify: Simplify 1 into 1 1545381369.087 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.087 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.088 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.088 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.088 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.088 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.088 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.088 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.088 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.089 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.089 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.089 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.089 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.089 * [misc]taylor: Taking taylor expansion of N in N 1545381369.089 * [misc]backup-simplify: Simplify 0 into 0 1545381369.089 * [misc]backup-simplify: Simplify 1 into 1 1545381369.089 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.089 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.089 * [misc]taylor: Taking taylor expansion of N in N 1545381369.089 * [misc]backup-simplify: Simplify 0 into 0 1545381369.089 * [misc]backup-simplify: Simplify 1 into 1 1545381369.089 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.089 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.089 * [misc]backup-simplify: Simplify 1 into 1 1545381369.089 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.089 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.089 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.089 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.090 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.090 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.090 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.090 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.090 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.090 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.090 * [misc]backup-simplify: Simplify 0 into 0 1545381369.092 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545381369.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381369.092 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.092 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.092 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381369.093 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381369.096 * [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 1545381369.096 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.096 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.097 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381369.097 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545381369.105 * [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 1545381369.105 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545381369.105 * [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)))) 1545381369.105 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545381369.105 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545381369.105 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.106 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.106 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.106 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.106 * [misc]backup-simplify: Simplify -1 into -1 1545381369.106 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.106 * [misc]taylor: Taking taylor expansion of N in N 1545381369.106 * [misc]backup-simplify: Simplify 0 into 0 1545381369.106 * [misc]backup-simplify: Simplify 1 into 1 1545381369.106 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.106 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.106 * [misc]backup-simplify: Simplify 1 into 1 1545381369.106 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.106 * [misc]taylor: Taking taylor expansion of N in N 1545381369.106 * [misc]backup-simplify: Simplify 0 into 0 1545381369.106 * [misc]backup-simplify: Simplify 1 into 1 1545381369.106 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.106 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.106 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.107 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.107 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.107 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.107 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.107 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.107 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.108 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.108 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.108 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.108 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.108 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.109 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.109 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.109 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.109 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.109 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.109 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.109 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.109 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.109 * [misc]backup-simplify: Simplify -1 into -1 1545381369.109 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.109 * [misc]taylor: Taking taylor expansion of N in N 1545381369.109 * [misc]backup-simplify: Simplify 0 into 0 1545381369.109 * [misc]backup-simplify: Simplify 1 into 1 1545381369.109 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.110 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.110 * [misc]backup-simplify: Simplify 1 into 1 1545381369.110 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.110 * [misc]taylor: Taking taylor expansion of N in N 1545381369.110 * [misc]backup-simplify: Simplify 0 into 0 1545381369.110 * [misc]backup-simplify: Simplify 1 into 1 1545381369.110 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.110 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.110 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.110 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.110 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.111 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.111 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.111 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.111 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.111 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.111 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.112 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.112 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.112 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.112 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.112 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.112 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.112 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.112 * [misc]backup-simplify: Simplify 0 into 0 1545381369.114 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545381369.114 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381369.114 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.114 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.114 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381369.115 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381369.115 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381369.118 * [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 1545381369.118 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.118 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.118 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.119 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381369.119 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381369.119 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545381369.123 * [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 1545381369.123 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545381369.123 * [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)))) 1545381369.123 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1) 1545381369.123 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545381369.123 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545381369.123 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.123 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.123 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.123 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.123 * [misc]taylor: Taking taylor expansion of N in N 1545381369.123 * [misc]backup-simplify: Simplify 0 into 0 1545381369.123 * [misc]backup-simplify: Simplify 1 into 1 1545381369.123 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.123 * [misc]backup-simplify: Simplify 1 into 1 1545381369.123 * [misc]taylor: Taking taylor expansion of N in N 1545381369.123 * [misc]backup-simplify: Simplify 0 into 0 1545381369.123 * [misc]backup-simplify: Simplify 1 into 1 1545381369.123 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.124 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.124 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.124 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.124 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.124 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.124 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.124 * [misc]taylor: Taking taylor expansion of N in N 1545381369.124 * [misc]backup-simplify: Simplify 0 into 0 1545381369.124 * [misc]backup-simplify: Simplify 1 into 1 1545381369.124 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.124 * [misc]backup-simplify: Simplify 1 into 1 1545381369.124 * [misc]taylor: Taking taylor expansion of N in N 1545381369.124 * [misc]backup-simplify: Simplify 0 into 0 1545381369.124 * [misc]backup-simplify: Simplify 1 into 1 1545381369.124 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.125 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.125 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.125 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.125 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.125 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.125 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.126 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381369.126 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381369.128 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545381369.128 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381369.129 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381369.131 * [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 1545381369.131 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.131 * [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))))) 1545381369.131 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545381369.131 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545381369.131 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.131 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.131 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.131 * [misc]taylor: Taking taylor expansion of N in N 1545381369.131 * [misc]backup-simplify: Simplify 0 into 0 1545381369.131 * [misc]backup-simplify: Simplify 1 into 1 1545381369.131 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.131 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.131 * [misc]taylor: Taking taylor expansion of N in N 1545381369.131 * [misc]backup-simplify: Simplify 0 into 0 1545381369.131 * [misc]backup-simplify: Simplify 1 into 1 1545381369.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.132 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.132 * [misc]backup-simplify: Simplify 1 into 1 1545381369.132 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.132 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.132 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.132 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.132 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.132 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.132 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.133 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.133 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.133 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.133 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.133 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.133 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.133 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.133 * [misc]taylor: Taking taylor expansion of N in N 1545381369.133 * [misc]backup-simplify: Simplify 0 into 0 1545381369.133 * [misc]backup-simplify: Simplify 1 into 1 1545381369.133 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.133 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.133 * [misc]taylor: Taking taylor expansion of N in N 1545381369.133 * [misc]backup-simplify: Simplify 0 into 0 1545381369.133 * [misc]backup-simplify: Simplify 1 into 1 1545381369.133 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.133 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.133 * [misc]backup-simplify: Simplify 1 into 1 1545381369.133 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.134 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.134 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.134 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.134 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.134 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.134 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.134 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.134 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.135 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.135 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.135 * [misc]backup-simplify: Simplify 0 into 0 1545381369.136 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545381369.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381369.136 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381369.137 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381369.140 * [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 1545381369.140 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.140 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.140 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.140 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381369.141 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545381369.144 * [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 1545381369.144 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545381369.145 * [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)))) 1545381369.145 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545381369.145 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545381369.145 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.145 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.145 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.145 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.145 * [misc]backup-simplify: Simplify -1 into -1 1545381369.145 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.145 * [misc]taylor: Taking taylor expansion of N in N 1545381369.145 * [misc]backup-simplify: Simplify 0 into 0 1545381369.145 * [misc]backup-simplify: Simplify 1 into 1 1545381369.145 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.145 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.145 * [misc]backup-simplify: Simplify 1 into 1 1545381369.145 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.145 * [misc]taylor: Taking taylor expansion of N in N 1545381369.145 * [misc]backup-simplify: Simplify 0 into 0 1545381369.145 * [misc]backup-simplify: Simplify 1 into 1 1545381369.145 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.145 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.145 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.145 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.146 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.146 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.146 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.146 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.146 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.146 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.146 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.146 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.146 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.147 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.147 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.147 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.147 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.147 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.147 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.147 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.147 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.147 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.147 * [misc]backup-simplify: Simplify -1 into -1 1545381369.147 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.147 * [misc]taylor: Taking taylor expansion of N in N 1545381369.147 * [misc]backup-simplify: Simplify 0 into 0 1545381369.147 * [misc]backup-simplify: Simplify 1 into 1 1545381369.147 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.147 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.147 * [misc]backup-simplify: Simplify 1 into 1 1545381369.147 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.147 * [misc]taylor: Taking taylor expansion of N in N 1545381369.147 * [misc]backup-simplify: Simplify 0 into 0 1545381369.147 * [misc]backup-simplify: Simplify 1 into 1 1545381369.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.148 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.148 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.148 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.148 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.148 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.148 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.148 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.148 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.149 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.149 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.149 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.149 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.149 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.149 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.149 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.150 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.150 * [misc]backup-simplify: Simplify 0 into 0 1545381369.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545381369.151 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381369.151 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.151 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.152 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.152 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381369.152 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381369.153 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381369.155 * [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 1545381369.155 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.155 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.155 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.155 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381369.156 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381369.156 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545381369.160 * [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 1545381369.160 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545381369.160 * [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)))) 1545381369.160 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) 1545381369.160 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545381369.160 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545381369.161 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.161 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.161 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.161 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.161 * [misc]taylor: Taking taylor expansion of N in N 1545381369.161 * [misc]backup-simplify: Simplify 0 into 0 1545381369.161 * [misc]backup-simplify: Simplify 1 into 1 1545381369.161 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.161 * [misc]backup-simplify: Simplify 1 into 1 1545381369.161 * [misc]taylor: Taking taylor expansion of N in N 1545381369.161 * [misc]backup-simplify: Simplify 0 into 0 1545381369.161 * [misc]backup-simplify: Simplify 1 into 1 1545381369.161 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.161 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.161 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.161 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.161 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.162 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.162 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.162 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.162 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.162 * [misc]taylor: Taking taylor expansion of N in N 1545381369.162 * [misc]backup-simplify: Simplify 0 into 0 1545381369.162 * [misc]backup-simplify: Simplify 1 into 1 1545381369.162 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.162 * [misc]backup-simplify: Simplify 1 into 1 1545381369.162 * [misc]taylor: Taking taylor expansion of N in N 1545381369.162 * [misc]backup-simplify: Simplify 0 into 0 1545381369.162 * [misc]backup-simplify: Simplify 1 into 1 1545381369.162 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.162 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.162 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.162 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.162 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.163 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.163 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.163 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381369.163 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381369.165 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545381369.165 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381369.166 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381369.170 * [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 1545381369.170 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.170 * [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))))) 1545381369.170 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545381369.170 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545381369.170 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.171 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.171 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.171 * [misc]taylor: Taking taylor expansion of N in N 1545381369.171 * [misc]backup-simplify: Simplify 0 into 0 1545381369.171 * [misc]backup-simplify: Simplify 1 into 1 1545381369.171 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.171 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.171 * [misc]taylor: Taking taylor expansion of N in N 1545381369.171 * [misc]backup-simplify: Simplify 0 into 0 1545381369.171 * [misc]backup-simplify: Simplify 1 into 1 1545381369.171 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.171 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.171 * [misc]backup-simplify: Simplify 1 into 1 1545381369.171 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.171 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.171 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.171 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.172 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.172 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.172 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.172 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.172 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.172 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.172 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.172 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.172 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.172 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.172 * [misc]taylor: Taking taylor expansion of N in N 1545381369.172 * [misc]backup-simplify: Simplify 0 into 0 1545381369.173 * [misc]backup-simplify: Simplify 1 into 1 1545381369.173 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.173 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.173 * [misc]taylor: Taking taylor expansion of N in N 1545381369.173 * [misc]backup-simplify: Simplify 0 into 0 1545381369.173 * [misc]backup-simplify: Simplify 1 into 1 1545381369.173 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.173 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.173 * [misc]backup-simplify: Simplify 1 into 1 1545381369.173 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.173 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.173 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.173 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.173 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.173 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.174 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.174 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.174 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.174 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.174 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.174 * [misc]backup-simplify: Simplify 0 into 0 1545381369.176 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545381369.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381369.176 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.176 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381369.177 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381369.180 * [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 1545381369.181 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.181 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.181 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381369.181 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545381369.185 * [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 1545381369.185 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545381369.185 * [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)))) 1545381369.186 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545381369.186 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545381369.186 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.186 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.186 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.186 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.186 * [misc]backup-simplify: Simplify -1 into -1 1545381369.186 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.186 * [misc]taylor: Taking taylor expansion of N in N 1545381369.186 * [misc]backup-simplify: Simplify 0 into 0 1545381369.186 * [misc]backup-simplify: Simplify 1 into 1 1545381369.186 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.186 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.186 * [misc]backup-simplify: Simplify 1 into 1 1545381369.186 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.186 * [misc]taylor: Taking taylor expansion of N in N 1545381369.186 * [misc]backup-simplify: Simplify 0 into 0 1545381369.186 * [misc]backup-simplify: Simplify 1 into 1 1545381369.186 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.186 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.186 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.186 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.186 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.187 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.187 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.187 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.187 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.187 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.187 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.187 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.187 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.188 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.188 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.188 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.188 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.188 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.188 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.188 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.188 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.188 * [misc]backup-simplify: Simplify -1 into -1 1545381369.188 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.188 * [misc]taylor: Taking taylor expansion of N in N 1545381369.188 * [misc]backup-simplify: Simplify 0 into 0 1545381369.188 * [misc]backup-simplify: Simplify 1 into 1 1545381369.188 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.188 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.188 * [misc]backup-simplify: Simplify 1 into 1 1545381369.188 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.188 * [misc]taylor: Taking taylor expansion of N in N 1545381369.188 * [misc]backup-simplify: Simplify 0 into 0 1545381369.188 * [misc]backup-simplify: Simplify 1 into 1 1545381369.188 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.189 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.189 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.189 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.189 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.189 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.189 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.189 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.189 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.189 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.189 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.190 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.190 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.190 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.190 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.190 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.190 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.190 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.190 * [misc]backup-simplify: Simplify 0 into 0 1545381369.192 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545381369.192 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381369.192 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.192 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.192 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381369.193 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381369.193 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381369.196 * [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 1545381369.196 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.196 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.196 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.196 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.196 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381369.197 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381369.197 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545381369.201 * [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 1545381369.201 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545381369.201 * [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)))) 1545381369.201 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1545381369.201 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545381369.201 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545381369.201 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.201 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.201 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.201 * [misc]taylor: Taking taylor expansion of N in N 1545381369.201 * [misc]backup-simplify: Simplify 0 into 0 1545381369.201 * [misc]backup-simplify: Simplify 1 into 1 1545381369.201 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.201 * [misc]backup-simplify: Simplify 1 into 1 1545381369.201 * [misc]taylor: Taking taylor expansion of N in N 1545381369.201 * [misc]backup-simplify: Simplify 0 into 0 1545381369.201 * [misc]backup-simplify: Simplify 1 into 1 1545381369.201 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.202 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.202 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.202 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.202 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545381369.202 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545381369.202 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545381369.202 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545381369.202 * [misc]taylor: Taking taylor expansion of N in N 1545381369.202 * [misc]backup-simplify: Simplify 0 into 0 1545381369.202 * [misc]backup-simplify: Simplify 1 into 1 1545381369.202 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.202 * [misc]backup-simplify: Simplify 1 into 1 1545381369.202 * [misc]taylor: Taking taylor expansion of N in N 1545381369.202 * [misc]backup-simplify: Simplify 0 into 0 1545381369.202 * [misc]backup-simplify: Simplify 1 into 1 1545381369.203 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.203 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.203 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545381369.203 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545381369.203 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.203 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545381369.203 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.204 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545381369.204 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545381369.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545381369.206 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545381369.207 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545381369.210 * [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 1545381369.210 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545381369.210 * [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))))) 1545381369.210 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545381369.210 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545381369.210 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.210 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.210 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.210 * [misc]taylor: Taking taylor expansion of N in N 1545381369.210 * [misc]backup-simplify: Simplify 0 into 0 1545381369.210 * [misc]backup-simplify: Simplify 1 into 1 1545381369.210 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.210 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.210 * [misc]taylor: Taking taylor expansion of N in N 1545381369.210 * [misc]backup-simplify: Simplify 0 into 0 1545381369.210 * [misc]backup-simplify: Simplify 1 into 1 1545381369.210 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.210 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.210 * [misc]backup-simplify: Simplify 1 into 1 1545381369.210 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.211 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.211 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.211 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.211 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.211 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.211 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.211 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.211 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.212 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.212 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.212 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545381369.212 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545381369.212 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545381369.212 * [misc]taylor: Taking taylor expansion of N in N 1545381369.212 * [misc]backup-simplify: Simplify 0 into 0 1545381369.212 * [misc]backup-simplify: Simplify 1 into 1 1545381369.212 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545381369.212 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.212 * [misc]taylor: Taking taylor expansion of N in N 1545381369.212 * [misc]backup-simplify: Simplify 0 into 0 1545381369.212 * [misc]backup-simplify: Simplify 1 into 1 1545381369.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.212 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.212 * [misc]backup-simplify: Simplify 1 into 1 1545381369.212 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.212 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545381369.212 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.213 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545381369.213 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545381369.213 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.213 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.213 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545381369.213 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545381369.213 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.214 * [misc]backup-simplify: Simplify 0 into 0 1545381369.215 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545381369.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545381369.215 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.215 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.216 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545381369.216 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545381369.219 * [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 1545381369.219 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.219 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.220 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545381369.220 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545381369.228 * [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 1545381369.228 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545381369.228 * [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)))) 1545381369.229 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545381369.229 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545381369.229 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.229 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.229 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.229 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.229 * [misc]backup-simplify: Simplify -1 into -1 1545381369.229 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.229 * [misc]taylor: Taking taylor expansion of N in N 1545381369.229 * [misc]backup-simplify: Simplify 0 into 0 1545381369.229 * [misc]backup-simplify: Simplify 1 into 1 1545381369.229 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.229 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.229 * [misc]backup-simplify: Simplify 1 into 1 1545381369.229 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.229 * [misc]taylor: Taking taylor expansion of N in N 1545381369.229 * [misc]backup-simplify: Simplify 0 into 0 1545381369.229 * [misc]backup-simplify: Simplify 1 into 1 1545381369.229 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.229 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.230 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.230 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.230 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.230 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.230 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.230 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.231 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.231 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.231 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.231 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.232 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.232 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.232 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.232 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.233 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.233 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545381369.233 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545381369.233 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545381369.233 * [misc]taylor: Taking taylor expansion of -1 in N 1545381369.233 * [misc]backup-simplify: Simplify -1 into -1 1545381369.233 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545381369.233 * [misc]taylor: Taking taylor expansion of N in N 1545381369.233 * [misc]backup-simplify: Simplify 0 into 0 1545381369.233 * [misc]backup-simplify: Simplify 1 into 1 1545381369.233 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545381369.233 * [misc]taylor: Taking taylor expansion of 1 in N 1545381369.233 * [misc]backup-simplify: Simplify 1 into 1 1545381369.233 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545381369.233 * [misc]taylor: Taking taylor expansion of N in N 1545381369.233 * [misc]backup-simplify: Simplify 0 into 0 1545381369.233 * [misc]backup-simplify: Simplify 1 into 1 1545381369.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545381369.233 * [misc]backup-simplify: Simplify (- 1) into -1 1545381369.234 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545381369.234 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545381369.234 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545381369.234 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545381369.234 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.234 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545381369.235 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545381369.235 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545381369.235 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545381369.235 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.235 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.236 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545381369.236 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545381369.236 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545381369.236 * [misc]backup-simplify: Simplify (log 1) into 0 1545381369.237 * [misc]backup-simplify: Simplify 0 into 0 1545381369.240 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545381369.240 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545381369.240 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.240 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.240 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.241 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545381369.241 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545381369.242 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545381369.247 * [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 1545381369.247 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545381369.247 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545381369.247 * [misc]backup-simplify: Simplify (- 0) into 0 1545381369.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545381369.248 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545381369.248 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545381369.248 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545381369.255 * [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 1545381369.255 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545381369.255 * [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)))) 1545381369.256 * * * [misc]progress: simplifying candidates 1545381369.256 * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # 1545381369.256 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545381369.256 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.259 * * [misc]simplify: iters left: 5 (13 enodes) 1545381369.262 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545381369.262 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))))) 1545381369.262 * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # 1545381369.262 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545381369.262 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.264 * * [misc]simplify: iters left: 5 (12 enodes) 1545381369.267 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545381369.267 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))))) 1545381369.267 * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # 1545381369.268 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.268 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.270 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.273 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.273 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))))) 1545381369.273 * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # 1545381369.273 * [enter]simplify: Simplifying (log (sqrt 1)) 1545381369.273 * * [misc]simplify: iters left: 2 (3 enodes) 1545381369.275 * * [misc]simplify: iters left: 1 (5 enodes) 1545381369.276 * [exit]simplify: Simplified to 0 1545381369.276 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))))) 1545381369.276 * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # 1545381369.276 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.276 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.277 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.279 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.279 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))))) 1545381369.279 * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # 1545381369.279 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.279 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.281 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.283 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.283 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))))) 1545381369.283 * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # 1545381369.284 * [enter]simplify: Simplifying (log 1) 1545381369.284 * * [misc]simplify: iters left: 1 (2 enodes) 1545381369.285 * [exit]simplify: Simplified to 0 1545381369.285 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))))) 1545381369.285 * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # 1545381369.285 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.285 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.287 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.288 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.288 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N))))))) 1545381369.288 * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # 1545381369.288 * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # 1545381369.288 * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # 1545381369.288 * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # 1545381369.288 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381369.288 * * [misc]simplify: iters left: 5 (5 enodes) 1545381369.289 * * [misc]simplify: iters left: 4 (8 enodes) 1545381369.290 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381369.290 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ N 1) N))))))) 1545381369.290 * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # 1545381369.290 * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # 1545381369.290 * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # 1545381369.290 * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # 1545381369.290 * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # 1545381369.290 * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # 1545381369.290 * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # 1545381369.291 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545381369.291 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.292 * * [misc]simplify: iters left: 5 (13 enodes) 1545381369.294 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545381369.294 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.294 * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # 1545381369.294 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545381369.294 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.295 * * [misc]simplify: iters left: 5 (12 enodes) 1545381369.297 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545381369.297 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.297 * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # 1545381369.297 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.297 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.298 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.300 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.300 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.300 * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # 1545381369.300 * [enter]simplify: Simplifying (log (sqrt 1)) 1545381369.300 * * [misc]simplify: iters left: 2 (3 enodes) 1545381369.302 * * [misc]simplify: iters left: 1 (5 enodes) 1545381369.302 * [exit]simplify: Simplified to 0 1545381369.302 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.302 * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # 1545381369.302 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.302 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.303 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.304 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.304 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.304 * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # 1545381369.304 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.304 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.305 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.306 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.306 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.306 * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # 1545381369.307 * [enter]simplify: Simplifying (log 1) 1545381369.307 * * [misc]simplify: iters left: 1 (2 enodes) 1545381369.307 * [exit]simplify: Simplified to 0 1545381369.307 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.307 * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # 1545381369.308 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.308 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.308 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.310 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.310 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.310 * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # 1545381369.310 * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # 1545381369.310 * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # 1545381369.310 * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # 1545381369.310 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381369.310 * * [misc]simplify: iters left: 5 (5 enodes) 1545381369.311 * * [misc]simplify: iters left: 4 (8 enodes) 1545381369.312 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381369.312 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.312 * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # 1545381369.312 * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # 1545381369.312 * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # 1545381369.312 * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # 1545381369.312 * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # 1545381369.312 * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # 1545381369.312 * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # 1545381369.312 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545381369.312 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.313 * * [misc]simplify: iters left: 5 (13 enodes) 1545381369.315 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545381369.315 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.315 * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # 1545381369.315 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545381369.315 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.317 * * [misc]simplify: iters left: 5 (12 enodes) 1545381369.318 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545381369.318 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.318 * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # 1545381369.318 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.318 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.319 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.321 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.321 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.321 * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # 1545381369.321 * [enter]simplify: Simplifying (log (sqrt 1)) 1545381369.321 * * [misc]simplify: iters left: 2 (3 enodes) 1545381369.322 * * [misc]simplify: iters left: 1 (5 enodes) 1545381369.323 * [exit]simplify: Simplified to 0 1545381369.323 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.323 * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # 1545381369.323 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.323 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.324 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.324 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.325 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.325 * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # 1545381369.325 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.325 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.326 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.327 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.327 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.327 * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # 1545381369.327 * [enter]simplify: Simplifying (log 1) 1545381369.327 * * [misc]simplify: iters left: 1 (2 enodes) 1545381369.329 * [exit]simplify: Simplified to 0 1545381369.329 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.329 * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # 1545381369.329 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.329 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.331 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.332 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.332 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.332 * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # 1545381369.333 * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # 1545381369.333 * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # 1545381369.333 * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # 1545381369.333 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381369.333 * * [misc]simplify: iters left: 5 (5 enodes) 1545381369.335 * * [misc]simplify: iters left: 4 (8 enodes) 1545381369.336 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381369.336 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.337 * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # 1545381369.337 * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # 1545381369.337 * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # 1545381369.337 * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # 1545381369.337 * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # 1545381369.337 * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # 1545381369.337 * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # 1545381369.337 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545381369.337 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.340 * * [misc]simplify: iters left: 5 (13 enodes) 1545381369.343 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545381369.343 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.343 * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # 1545381369.343 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545381369.344 * * [misc]simplify: iters left: 6 (8 enodes) 1545381369.346 * * [misc]simplify: iters left: 5 (12 enodes) 1545381369.349 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545381369.349 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.349 * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # 1545381369.349 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.349 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.351 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.354 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.354 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.354 * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # 1545381369.354 * [enter]simplify: Simplifying (log (sqrt 1)) 1545381369.354 * * [misc]simplify: iters left: 2 (3 enodes) 1545381369.356 * * [misc]simplify: iters left: 1 (5 enodes) 1545381369.357 * [exit]simplify: Simplified to 0 1545381369.357 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.357 * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # 1545381369.357 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.357 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.359 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.360 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.360 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.360 * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # 1545381369.360 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545381369.360 * * [misc]simplify: iters left: 6 (7 enodes) 1545381369.361 * * [misc]simplify: iters left: 5 (10 enodes) 1545381369.362 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545381369.363 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.363 * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # 1545381369.363 * [enter]simplify: Simplifying (log 1) 1545381369.363 * * [misc]simplify: iters left: 1 (2 enodes) 1545381369.363 * [exit]simplify: Simplified to 0 1545381369.364 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.364 * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # 1545381369.364 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545381369.364 * * [misc]simplify: iters left: 4 (5 enodes) 1545381369.365 * * [misc]simplify: iters left: 3 (8 enodes) 1545381369.365 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545381369.366 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ N 1))) (log (sqrt N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.366 * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # 1545381369.366 * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # 1545381369.366 * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # 1545381369.366 * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # 1545381369.366 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545381369.366 * * [misc]simplify: iters left: 5 (5 enodes) 1545381369.367 * * [misc]simplify: iters left: 4 (8 enodes) 1545381369.368 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545381369.368 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.368 * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # 1545381369.368 * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # 1545381369.368 * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # 1545381369.368 * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # 1545381369.368 * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # 1545381369.368 * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # 1545381369.368 * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # 1545381369.368 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545381369.368 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt +nan.0)))) 1545381369.368 * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # 1545381369.368 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381369.368 * * [misc]simplify: iters left: 6 (17 enodes) 1545381369.373 * * [misc]simplify: iters left: 5 (36 enodes) 1545381369.381 * * [misc]simplify: iters left: 4 (64 enodes) 1545381369.393 * * [misc]simplify: iters left: 3 (100 enodes) 1545381369.416 * * [misc]simplify: iters left: 2 (153 enodes) 1545381369.440 * * [misc]simplify: iters left: 1 (211 enodes) 1545381369.482 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381369.482 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))))) 1545381369.482 * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # 1545381369.482 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381369.483 * * [misc]simplify: iters left: 6 (17 enodes) 1545381369.491 * * [misc]simplify: iters left: 5 (36 enodes) 1545381369.509 * * [misc]simplify: iters left: 4 (64 enodes) 1545381369.531 * * [misc]simplify: iters left: 3 (100 enodes) 1545381369.548 * * [misc]simplify: iters left: 2 (153 enodes) 1545381369.566 * * [misc]simplify: iters left: 1 (211 enodes) 1545381369.600 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381369.600 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))))) 1545381369.600 * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # 1545381369.600 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545381369.600 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt +nan.0)) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.600 * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # 1545381369.600 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381369.600 * * [misc]simplify: iters left: 6 (17 enodes) 1545381369.605 * * [misc]simplify: iters left: 5 (36 enodes) 1545381369.613 * * [misc]simplify: iters left: 4 (64 enodes) 1545381369.625 * * [misc]simplify: iters left: 3 (100 enodes) 1545381369.642 * * [misc]simplify: iters left: 2 (153 enodes) 1545381369.661 * * [misc]simplify: iters left: 1 (211 enodes) 1545381369.695 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381369.696 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.696 * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # 1545381369.696 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381369.696 * * [misc]simplify: iters left: 6 (17 enodes) 1545381369.700 * * [misc]simplify: iters left: 5 (36 enodes) 1545381369.712 * * [misc]simplify: iters left: 4 (64 enodes) 1545381369.733 * * [misc]simplify: iters left: 3 (100 enodes) 1545381369.765 * * [misc]simplify: iters left: 2 (153 enodes) 1545381369.803 * * [misc]simplify: iters left: 1 (211 enodes) 1545381369.854 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381369.854 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.854 * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # 1545381369.854 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545381369.854 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt +nan.0) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.854 * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # 1545381369.854 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381369.854 * * [misc]simplify: iters left: 6 (17 enodes) 1545381369.859 * * [misc]simplify: iters left: 5 (36 enodes) 1545381369.867 * * [misc]simplify: iters left: 4 (64 enodes) 1545381369.878 * * [misc]simplify: iters left: 3 (100 enodes) 1545381369.897 * * [misc]simplify: iters left: 2 (153 enodes) 1545381369.915 * * [misc]simplify: iters left: 1 (211 enodes) 1545381369.953 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381369.954 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381369.954 * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # 1545381369.954 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381369.954 * * [misc]simplify: iters left: 6 (17 enodes) 1545381369.962 * * [misc]simplify: iters left: 5 (36 enodes) 1545381369.977 * * [misc]simplify: iters left: 4 (64 enodes) 1545381370.001 * * [misc]simplify: iters left: 3 (100 enodes) 1545381370.021 * * [misc]simplify: iters left: 2 (153 enodes) 1545381370.040 * * [misc]simplify: iters left: 1 (211 enodes) 1545381370.074 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381370.074 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* (* (cbrt (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381370.074 * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # 1545381370.075 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545381370.075 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381370.075 * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # 1545381370.075 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381370.075 * * [misc]simplify: iters left: 6 (17 enodes) 1545381370.079 * * [misc]simplify: iters left: 5 (36 enodes) 1545381370.087 * * [misc]simplify: iters left: 4 (64 enodes) 1545381370.108 * * [misc]simplify: iters left: 3 (100 enodes) 1545381370.134 * * [misc]simplify: iters left: 2 (153 enodes) 1545381370.154 * * [misc]simplify: iters left: 1 (211 enodes) 1545381370.192 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381370.192 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381370.192 * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # 1545381370.192 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545381370.192 * * [misc]simplify: iters left: 6 (17 enodes) 1545381370.197 * * [misc]simplify: iters left: 5 (36 enodes) 1545381370.205 * * [misc]simplify: iters left: 4 (64 enodes) 1545381370.224 * * [misc]simplify: iters left: 3 (100 enodes) 1545381370.254 * * [misc]simplify: iters left: 2 (153 enodes) 1545381370.295 * * [misc]simplify: iters left: 1 (211 enodes) 1545381370.346 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1545381370.346 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))))) 1545381370.346 * * * [misc]progress: adding candidates to table 1545381371.310 * [misc]progress: [Phase 3 of 3] Extracting. 1545381371.310 * * [misc]regime: Finding splitpoints for: (# # # #) 1545381371.311 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1545381371.311 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1545381371.367 * * * [misc]regime: Found split indices: #