29.590 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0: 6 enodes 0.057 * * [simplify]: iteration 1: 9 enodes 0.058 * * [simplify]: iteration 2: 10 enodes 0.060 * * [simplify]: iteration complete: 10 enodes 0.060 * * [simplify]: Extracting #0: cost 1 inf + 0 0.060 * * [simplify]: Extracting #1: cost 4 inf + 0 0.060 * * [simplify]: Extracting #2: cost 6 inf + 0 0.060 * * [simplify]: Extracting #3: cost 6 inf + 1 0.060 * * [simplify]: Extracting #4: cost 0 inf + 21 0.060 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.097 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.110 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.110 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.111 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.111 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [backup-simplify]: Simplify 1.0 into 1.0 0.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.116 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.123 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.124 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.124 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.124 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (log 1) into 0 0.126 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.126 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.138 * [backup-simplify]: Simplify -0.5 into -0.5 0.138 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.138 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.138 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (- 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.140 * [backup-simplify]: Simplify (log -1) into (log -1) 0.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.141 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.146 * [backup-simplify]: Simplify -1.0 into -1.0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.155 * [backup-simplify]: Simplify -0.5 into -0.5 0.156 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.156 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.156 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.156 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.156 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.156 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.156 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.157 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.157 * [taylor]: Taking taylor expansion of (log N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.157 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.157 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.158 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.158 * [taylor]: Taking taylor expansion of (log N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.159 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.160 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.160 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.201 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.204 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.205 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.205 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.207 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.210 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.210 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.236 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.263 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.263 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.264 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.264 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.264 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.264 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.264 * [taylor]: Taking taylor expansion of 1.0 in N 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (- 1) into -1 0.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.265 * [backup-simplify]: Simplify (log -1) into (log -1) 0.265 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.265 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.265 * [taylor]: Taking taylor expansion of -1 in N 0.265 * [backup-simplify]: Simplify -1 into -1 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ -1 1) into -1 0.266 * [backup-simplify]: Simplify (log -1) into (log -1) 0.266 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.268 * [backup-simplify]: Simplify (log -1) into (log -1) 0.268 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.268 * [taylor]: Taking taylor expansion of -1 in N 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ -1 1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.271 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.271 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.282 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.298 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [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 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.328 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.329 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.329 * * * [progress]: simplifying candidates 0.331 * [simplify]: Simplifying: (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.333 * * [simplify]: iteration 0: 126 enodes 0.372 * * [simplify]: iteration 1: 287 enodes 0.568 * * [simplify]: iteration 2: 1091 enodes 1.341 * * [simplify]: iteration complete: 5000 enodes 1.341 * * [simplify]: Extracting #0: cost 45 inf + 0 1.345 * * [simplify]: Extracting #1: cost 843 inf + 1 1.354 * * [simplify]: Extracting #2: cost 1511 inf + 118 1.366 * * [simplify]: Extracting #3: cost 1039 inf + 3068 1.377 * * [simplify]: Extracting #4: cost 293 inf + 8168 1.387 * * [simplify]: Extracting #5: cost 38 inf + 10913 1.393 * * [simplify]: Extracting #6: cost 5 inf + 11181 1.404 * * [simplify]: Extracting #7: cost 0 inf + 11206 1.411 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (fma 1.0 1.0 (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma 1.0 1.0 (* N (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (fma -1/2 (/ N (/ (* 1.0 1.0) N)) (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (+ (/ 1.0 N) (- (log -1) (/ (/ 0.5 N) N))) (log (/ -1 N))) (fma N 1.0 (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 1.412 * * * [progress]: adding candidates to table 1.667 * * [progress]: iteration 2 / 4 1.667 * * * [progress]: picking best candidate 1.677 * * * * [pick]: Picked # 1.677 * * * [progress]: localizing error 1.690 * * * [progress]: generating rewritten candidates 1.690 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.696 * * * [progress]: generating series expansions 1.696 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.696 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.696 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.696 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.696 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.696 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.696 * [taylor]: Taking taylor expansion of N in N 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [taylor]: Taking taylor expansion of 1.0 in N 1.696 * [backup-simplify]: Simplify 1.0 into 1.0 1.696 * [taylor]: Taking taylor expansion of N in N 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.697 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.697 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.697 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.697 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.697 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.697 * [taylor]: Taking taylor expansion of N in N 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [taylor]: Taking taylor expansion of 1.0 in N 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [taylor]: Taking taylor expansion of N in N 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.698 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.698 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.699 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.699 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.699 * [backup-simplify]: Simplify (+ 1 0) into 1 1.700 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.703 * [backup-simplify]: Simplify 1.0 into 1.0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.709 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.711 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.711 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.711 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.711 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.711 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.711 * [taylor]: Taking taylor expansion of N in N 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.711 * [taylor]: Taking taylor expansion of N in N 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.711 * [taylor]: Taking taylor expansion of 1.0 in N 1.711 * [backup-simplify]: Simplify 1.0 into 1.0 1.711 * [backup-simplify]: Simplify (+ 1 0) into 1 1.712 * [backup-simplify]: Simplify (* 0 1) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.713 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.713 * [backup-simplify]: Simplify (log 1) into 0 1.713 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.713 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.713 * [taylor]: Taking taylor expansion of N in N 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.713 * [taylor]: Taking taylor expansion of N in N 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [taylor]: Taking taylor expansion of 1.0 in N 1.713 * [backup-simplify]: Simplify 1.0 into 1.0 1.714 * [backup-simplify]: Simplify (+ 1 0) into 1 1.714 * [backup-simplify]: Simplify (* 0 1) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.715 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.715 * [backup-simplify]: Simplify (log 1) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.739 * [backup-simplify]: Simplify -0.5 into -0.5 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.766 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.766 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.767 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.767 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.767 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.767 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.767 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.767 * [taylor]: Taking taylor expansion of -1 in N 1.767 * [backup-simplify]: Simplify -1 into -1 1.767 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.767 * [taylor]: Taking taylor expansion of N in N 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.767 * [taylor]: Taking taylor expansion of 1.0 in N 1.768 * [backup-simplify]: Simplify 1.0 into 1.0 1.768 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.768 * [taylor]: Taking taylor expansion of N in N 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (/ 1 1) into 1 1.768 * [backup-simplify]: Simplify (- 1) into -1 1.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.770 * [backup-simplify]: Simplify (* 0 -1) into 0 1.770 * [backup-simplify]: Simplify (* -1 0) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.772 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.773 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.773 * [backup-simplify]: Simplify (log 1) into 0 1.773 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.773 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.773 * [taylor]: Taking taylor expansion of -1 in N 1.773 * [backup-simplify]: Simplify -1 into -1 1.773 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.773 * [taylor]: Taking taylor expansion of N in N 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.773 * [taylor]: Taking taylor expansion of 1.0 in N 1.773 * [backup-simplify]: Simplify 1.0 into 1.0 1.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.773 * [taylor]: Taking taylor expansion of N in N 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (- 1) into -1 1.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.775 * [backup-simplify]: Simplify (* 0 -1) into 0 1.775 * [backup-simplify]: Simplify (* -1 0) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.778 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.778 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.778 * [backup-simplify]: Simplify (log 1) into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.783 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.788 * [backup-simplify]: Simplify -1.0 into -1.0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.791 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.797 * [backup-simplify]: Simplify -0.5 into -0.5 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.800 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.810 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 1.810 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.811 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.811 * * * [progress]: simplifying candidates 1.811 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.812 * * [simplify]: iteration 0: 86 enodes 1.826 * * [simplify]: iteration 1: 173 enodes 1.870 * * [simplify]: iteration 2: 467 enodes 2.139 * * [simplify]: iteration 3: 1934 enodes 2.744 * * [simplify]: iteration complete: 5001 enodes 2.744 * * [simplify]: Extracting #0: cost 33 inf + 0 2.746 * * [simplify]: Extracting #1: cost 507 inf + 1 2.754 * * [simplify]: Extracting #2: cost 1450 inf + 168 2.764 * * [simplify]: Extracting #3: cost 946 inf + 3120 2.774 * * [simplify]: Extracting #4: cost 377 inf + 7248 2.791 * * [simplify]: Extracting #5: cost 73 inf + 10064 2.801 * * [simplify]: Extracting #6: cost 10 inf + 10463 2.811 * * [simplify]: Extracting #7: cost 0 inf + 10515 2.822 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (* (log (cbrt (/ (+ 1.0 N) N))) 2) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (fma 2 (log (cbrt (+ 1.0 N))) (- (log (sqrt N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (* (- 2) (log (cbrt N))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (* (- 2) (log (cbrt N))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma N 1.0 (log 1.0))) (log N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 2.822 * * * [progress]: adding candidates to table 2.967 * * [progress]: iteration 3 / 4 2.967 * * * [progress]: picking best candidate 2.974 * * * * [pick]: Picked # 2.974 * * * [progress]: localizing error 2.987 * * * [progress]: generating rewritten candidates 2.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.002 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.017 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.040 * * * [progress]: generating series expansions 3.040 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.041 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.041 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.041 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.041 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.041 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.041 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [taylor]: Taking taylor expansion of 1.0 in N 3.041 * [backup-simplify]: Simplify 1.0 into 1.0 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.042 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.043 * [backup-simplify]: Simplify (sqrt 0) into 0 3.044 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.045 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.045 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.045 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.045 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.045 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.045 * [taylor]: Taking taylor expansion of N in N 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [taylor]: Taking taylor expansion of 1.0 in N 3.045 * [backup-simplify]: Simplify 1.0 into 1.0 3.045 * [taylor]: Taking taylor expansion of N in N 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.046 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.046 * [backup-simplify]: Simplify (sqrt 0) into 0 3.047 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.048 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.048 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.049 * [backup-simplify]: Simplify (+ 1 0) into 1 3.050 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.053 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.058 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.069 * [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 3.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.069 * [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))))) 3.070 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.070 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.070 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.070 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.070 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.070 * [taylor]: Taking taylor expansion of N in N 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.070 * [taylor]: Taking taylor expansion of N in N 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.070 * [backup-simplify]: Simplify (/ 1 1) into 1 3.070 * [taylor]: Taking taylor expansion of 1.0 in N 3.070 * [backup-simplify]: Simplify 1.0 into 1.0 3.070 * [backup-simplify]: Simplify (+ 1 0) into 1 3.071 * [backup-simplify]: Simplify (* 0 1) into 0 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.072 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.072 * [backup-simplify]: Simplify (sqrt 1) into 1 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.075 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.075 * [backup-simplify]: Simplify (log 1) into 0 3.075 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.075 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.075 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.075 * [taylor]: Taking taylor expansion of N in N 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.075 * [taylor]: Taking taylor expansion of N in N 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [taylor]: Taking taylor expansion of 1.0 in N 3.076 * [backup-simplify]: Simplify 1.0 into 1.0 3.076 * [backup-simplify]: Simplify (+ 1 0) into 1 3.076 * [backup-simplify]: Simplify (* 0 1) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.081 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.081 * [backup-simplify]: Simplify (sqrt 1) into 1 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.084 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.084 * [backup-simplify]: Simplify (log 1) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.088 * [backup-simplify]: Simplify 0.5 into 0.5 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.107 * [backup-simplify]: Simplify -0.25 into -0.25 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.139 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.139 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.139 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.140 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.140 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.140 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.140 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.140 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.140 * [taylor]: Taking taylor expansion of -1 in N 3.140 * [backup-simplify]: Simplify -1 into -1 3.140 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.140 * [taylor]: Taking taylor expansion of N in N 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.140 * [taylor]: Taking taylor expansion of 1.0 in N 3.140 * [backup-simplify]: Simplify 1.0 into 1.0 3.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.140 * [taylor]: Taking taylor expansion of N in N 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.141 * [backup-simplify]: Simplify (- 1) into -1 3.141 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.141 * [backup-simplify]: Simplify (* 0 -1) into 0 3.142 * [backup-simplify]: Simplify (* -1 0) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.144 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.144 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.145 * [backup-simplify]: Simplify (sqrt 1) into 1 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.152 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.153 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.154 * [backup-simplify]: Simplify (log 1) into 0 3.154 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.154 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.154 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.154 * [taylor]: Taking taylor expansion of -1 in N 3.154 * [backup-simplify]: Simplify -1 into -1 3.154 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.154 * [taylor]: Taking taylor expansion of N in N 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.154 * [taylor]: Taking taylor expansion of 1.0 in N 3.154 * [backup-simplify]: Simplify 1.0 into 1.0 3.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.154 * [taylor]: Taking taylor expansion of N in N 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [backup-simplify]: Simplify (- 1) into -1 3.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.156 * [backup-simplify]: Simplify (* 0 -1) into 0 3.156 * [backup-simplify]: Simplify (* -1 0) into 0 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.159 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.159 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.160 * [backup-simplify]: Simplify (sqrt 1) into 1 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.161 * [backup-simplify]: Simplify (- 0) into 0 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.168 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.170 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.170 * [backup-simplify]: Simplify (log 1) into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.174 * [backup-simplify]: Simplify -0.5 into -0.5 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.178 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.186 * [backup-simplify]: Simplify -0.25 into -0.25 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.210 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.210 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.210 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.210 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.210 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.210 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.210 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.210 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.210 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.210 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.210 * [taylor]: Taking taylor expansion of N in N 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [taylor]: Taking taylor expansion of 1.0 in N 3.210 * [backup-simplify]: Simplify 1.0 into 1.0 3.210 * [taylor]: Taking taylor expansion of N in N 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.211 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.211 * [backup-simplify]: Simplify (sqrt 0) into 0 3.212 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.212 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.212 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.212 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.212 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.212 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.213 * [taylor]: Taking taylor expansion of N in N 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [taylor]: Taking taylor expansion of 1.0 in N 3.213 * [backup-simplify]: Simplify 1.0 into 1.0 3.213 * [taylor]: Taking taylor expansion of N in N 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.213 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.213 * [backup-simplify]: Simplify (sqrt 0) into 0 3.214 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.214 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.215 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.215 * [backup-simplify]: Simplify (+ 1 0) into 1 3.216 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.217 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.221 * [backup-simplify]: Simplify (+ 0 0) into 0 3.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.241 * [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 3.241 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.242 * [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))))) 3.242 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.242 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.242 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.242 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.242 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.242 * [taylor]: Taking taylor expansion of N in N 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.242 * [taylor]: Taking taylor expansion of N in N 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [taylor]: Taking taylor expansion of 1.0 in N 3.243 * [backup-simplify]: Simplify 1.0 into 1.0 3.243 * [backup-simplify]: Simplify (+ 1 0) into 1 3.244 * [backup-simplify]: Simplify (* 0 1) into 0 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.245 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.246 * [backup-simplify]: Simplify (sqrt 1) into 1 3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (+ 0 0) into 0 3.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.251 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.251 * [backup-simplify]: Simplify (log 1) into 0 3.251 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.251 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.251 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.251 * [taylor]: Taking taylor expansion of N in N 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.252 * [taylor]: Taking taylor expansion of N in N 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.252 * [taylor]: Taking taylor expansion of 1.0 in N 3.252 * [backup-simplify]: Simplify 1.0 into 1.0 3.253 * [backup-simplify]: Simplify (+ 1 0) into 1 3.253 * [backup-simplify]: Simplify (* 0 1) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.255 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.255 * [backup-simplify]: Simplify (sqrt 1) into 1 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.260 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.261 * [backup-simplify]: Simplify (log 1) into 0 3.261 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.267 * [backup-simplify]: Simplify 0.5 into 0.5 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.287 * [backup-simplify]: Simplify -0.25 into -0.25 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.311 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.311 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.311 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.312 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.312 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.312 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.312 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.312 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.312 * [taylor]: Taking taylor expansion of -1 in N 3.312 * [backup-simplify]: Simplify -1 into -1 3.312 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.312 * [taylor]: Taking taylor expansion of N in N 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.312 * [taylor]: Taking taylor expansion of 1.0 in N 3.312 * [backup-simplify]: Simplify 1.0 into 1.0 3.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.312 * [taylor]: Taking taylor expansion of N in N 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [backup-simplify]: Simplify (- 1) into -1 3.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.318 * [backup-simplify]: Simplify (* 0 -1) into 0 3.318 * [backup-simplify]: Simplify (* -1 0) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (- 0) into 0 3.319 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.320 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.320 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.320 * [backup-simplify]: Simplify (sqrt 1) into 1 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.324 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.325 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.326 * [backup-simplify]: Simplify (log 1) into 0 3.326 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.326 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.326 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.326 * [taylor]: Taking taylor expansion of -1 in N 3.326 * [backup-simplify]: Simplify -1 into -1 3.326 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.326 * [taylor]: Taking taylor expansion of N in N 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.326 * [taylor]: Taking taylor expansion of 1.0 in N 3.326 * [backup-simplify]: Simplify 1.0 into 1.0 3.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.326 * [taylor]: Taking taylor expansion of N in N 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (/ 1 1) into 1 3.327 * [backup-simplify]: Simplify (- 1) into -1 3.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.328 * [backup-simplify]: Simplify (* 0 -1) into 0 3.329 * [backup-simplify]: Simplify (* -1 0) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.333 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.334 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.334 * [backup-simplify]: Simplify (sqrt 1) into 1 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.341 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.343 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.343 * [backup-simplify]: Simplify (log 1) into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.349 * [backup-simplify]: Simplify -0.5 into -0.5 3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (- 0) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.357 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.371 * [backup-simplify]: Simplify -0.25 into -0.25 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.376 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.405 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.405 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.405 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.406 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 N) N)) into (sqrt (/ (+ N 1.0) N)) 3.406 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.406 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.406 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.406 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.406 * [taylor]: Taking taylor expansion of N in N 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [taylor]: Taking taylor expansion of 1.0 in N 3.406 * [backup-simplify]: Simplify 1.0 into 1.0 3.406 * [taylor]: Taking taylor expansion of N in N 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.407 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.407 * [backup-simplify]: Simplify (sqrt 0) into 0 3.408 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.408 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.408 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.408 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.408 * [taylor]: Taking taylor expansion of N in N 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [taylor]: Taking taylor expansion of 1.0 in N 3.409 * [backup-simplify]: Simplify 1.0 into 1.0 3.409 * [taylor]: Taking taylor expansion of N in N 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.409 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.410 * [backup-simplify]: Simplify (sqrt 0) into 0 3.411 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.411 * [backup-simplify]: Simplify (+ 1 0) into 1 3.412 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.415 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.421 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.421 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.421 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.422 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.422 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [taylor]: Taking taylor expansion of 1.0 in N 3.422 * [backup-simplify]: Simplify 1.0 into 1.0 3.423 * [backup-simplify]: Simplify (+ 1 0) into 1 3.423 * [backup-simplify]: Simplify (* 0 1) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.426 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.426 * [backup-simplify]: Simplify (sqrt 1) into 1 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.432 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.432 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.432 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.432 * [taylor]: Taking taylor expansion of N in N 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.432 * [taylor]: Taking taylor expansion of N in N 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [taylor]: Taking taylor expansion of 1.0 in N 3.432 * [backup-simplify]: Simplify 1.0 into 1.0 3.433 * [backup-simplify]: Simplify (+ 1 0) into 1 3.433 * [backup-simplify]: Simplify (* 0 1) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.435 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.436 * [backup-simplify]: Simplify (sqrt 1) into 1 3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.441 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify 0.5 into 0.5 3.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.447 * [backup-simplify]: Simplify -0.125 into -0.125 3.447 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.447 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.448 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.448 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.448 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.448 * [taylor]: Taking taylor expansion of -1 in N 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.448 * [taylor]: Taking taylor expansion of N in N 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.448 * [taylor]: Taking taylor expansion of 1.0 in N 3.448 * [backup-simplify]: Simplify 1.0 into 1.0 3.448 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.448 * [taylor]: Taking taylor expansion of N in N 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [backup-simplify]: Simplify (- 1) into -1 3.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.450 * [backup-simplify]: Simplify (* 0 -1) into 0 3.450 * [backup-simplify]: Simplify (* -1 0) into 0 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify (- 0) into 0 3.452 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.453 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.459 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.460 * [backup-simplify]: Simplify (sqrt 1) into 1 3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.468 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.469 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.469 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.469 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.469 * [taylor]: Taking taylor expansion of -1 in N 3.469 * [backup-simplify]: Simplify -1 into -1 3.469 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.469 * [taylor]: Taking taylor expansion of N in N 3.469 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.470 * [taylor]: Taking taylor expansion of 1.0 in N 3.470 * [backup-simplify]: Simplify 1.0 into 1.0 3.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.470 * [taylor]: Taking taylor expansion of N in N 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [backup-simplify]: Simplify (- 1) into -1 3.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.471 * [backup-simplify]: Simplify (* 0 -1) into 0 3.472 * [backup-simplify]: Simplify (* -1 0) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (- 0) into 0 3.473 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.474 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.475 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.475 * [backup-simplify]: Simplify (sqrt 1) into 1 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.482 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.484 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.484 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify -0.5 into -0.5 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.491 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.492 * [backup-simplify]: Simplify -0.125 into -0.125 3.492 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.492 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 N) N)) into (sqrt (/ (+ N 1.0) N)) 3.493 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.493 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.493 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [taylor]: Taking taylor expansion of 1.0 in N 3.493 * [backup-simplify]: Simplify 1.0 into 1.0 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.494 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.494 * [backup-simplify]: Simplify (sqrt 0) into 0 3.496 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.496 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.496 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [taylor]: Taking taylor expansion of 1.0 in N 3.496 * [backup-simplify]: Simplify 1.0 into 1.0 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.497 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.497 * [backup-simplify]: Simplify (sqrt 0) into 0 3.500 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.501 * [backup-simplify]: Simplify (+ 1 0) into 1 3.501 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.503 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.504 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.507 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.507 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.507 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.508 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.508 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.508 * [taylor]: Taking taylor expansion of N in N 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.508 * [taylor]: Taking taylor expansion of N in N 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [taylor]: Taking taylor expansion of 1.0 in N 3.508 * [backup-simplify]: Simplify 1.0 into 1.0 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [backup-simplify]: Simplify (* 0 1) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.510 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.510 * [backup-simplify]: Simplify (sqrt 1) into 1 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.513 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.513 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.513 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.513 * [taylor]: Taking taylor expansion of N in N 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.513 * [taylor]: Taking taylor expansion of N in N 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (/ 1 1) into 1 3.513 * [taylor]: Taking taylor expansion of 1.0 in N 3.513 * [backup-simplify]: Simplify 1.0 into 1.0 3.514 * [backup-simplify]: Simplify (+ 1 0) into 1 3.514 * [backup-simplify]: Simplify (* 0 1) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.515 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.515 * [backup-simplify]: Simplify (sqrt 1) into 1 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.518 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify 0.5 into 0.5 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.522 * [backup-simplify]: Simplify -0.125 into -0.125 3.522 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.522 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.522 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.522 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.522 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.522 * [taylor]: Taking taylor expansion of -1 in N 3.522 * [backup-simplify]: Simplify -1 into -1 3.522 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.522 * [taylor]: Taking taylor expansion of N in N 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.522 * [taylor]: Taking taylor expansion of 1.0 in N 3.523 * [backup-simplify]: Simplify 1.0 into 1.0 3.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.523 * [taylor]: Taking taylor expansion of N in N 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (/ 1 1) into 1 3.523 * [backup-simplify]: Simplify (- 1) into -1 3.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.524 * [backup-simplify]: Simplify (* 0 -1) into 0 3.524 * [backup-simplify]: Simplify (* -1 0) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (- 0) into 0 3.525 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.525 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.526 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.526 * [backup-simplify]: Simplify (sqrt 1) into 1 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (- 0) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.533 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.535 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.535 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.535 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.536 * [taylor]: Taking taylor expansion of -1 in N 3.536 * [backup-simplify]: Simplify -1 into -1 3.536 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.536 * [taylor]: Taking taylor expansion of N in N 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.536 * [taylor]: Taking taylor expansion of 1.0 in N 3.536 * [backup-simplify]: Simplify 1.0 into 1.0 3.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.536 * [taylor]: Taking taylor expansion of N in N 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [backup-simplify]: Simplify (- 1) into -1 3.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.538 * [backup-simplify]: Simplify (* 0 -1) into 0 3.539 * [backup-simplify]: Simplify (* -1 0) into 0 3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.541 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.542 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.543 * [backup-simplify]: Simplify (sqrt 1) into 1 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (- 0) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.550 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.551 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.551 * [backup-simplify]: Simplify 1 into 1 3.551 * [backup-simplify]: Simplify -0.5 into -0.5 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [backup-simplify]: Simplify (- 0) into 0 3.553 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.559 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.559 * [backup-simplify]: Simplify -0.125 into -0.125 3.559 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.559 * * * [progress]: simplifying candidates 3.563 * [simplify]: Simplifying: (expm1 (log (sqrt (/ (+ 1.0 N) N)))) (log1p (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ 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(cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (expm1 (sqrt (/ (+ 1.0 N) N))) (log1p (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (exp (sqrt (/ (+ 1.0 N) N))) (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N)))) (cbrt (sqrt (/ (+ 1.0 N) N))) (* (* (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N))) (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (sqrt (cbrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (sqrt (/ (cbrt (+ 1.0 N)) N)) (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) 1)) (sqrt (/ (sqrt (+ 1.0 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt 1) (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (expm1 (sqrt (/ (+ 1.0 N) N))) (log1p (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (exp (sqrt (/ (+ 1.0 N) N))) (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N)))) (cbrt (sqrt (/ (+ 1.0 N) N))) (* (* (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N))) (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (sqrt (cbrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (sqrt (/ (cbrt (+ 1.0 N)) N)) (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) 1)) (sqrt (/ (sqrt (+ 1.0 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt 1) (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.566 * * [simplify]: iteration 0: 127 enodes 3.612 * * [simplify]: iteration 1: 211 enodes 3.694 * * [simplify]: iteration 2: 500 enodes 3.969 * * [simplify]: iteration 3: 1865 enodes 5.767 * * [simplify]: iteration complete: 5000 enodes 5.767 * * [simplify]: Extracting #0: cost 67 inf + 0 5.769 * * [simplify]: Extracting #1: cost 292 inf + 3 5.777 * * [simplify]: Extracting #2: cost 1228 inf + 203 5.788 * * [simplify]: Extracting #3: cost 508 inf + 2984 5.798 * * [simplify]: Extracting #4: cost 190 inf + 5055 5.808 * * [simplify]: Extracting #5: cost 42 inf + 6172 5.818 * * [simplify]: Extracting #6: cost 7 inf + 6362 5.823 * * [simplify]: Extracting #7: cost 0 inf + 6397 5.831 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* (log (cbrt (sqrt (/ (+ N 1.0) N)))) 2) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs 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(/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* (log (cbrt (sqrt (/ (+ N 1.0) N)))) 2) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (/ (sqrt N) (cbrt (+ N 1.0)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (/ (sqrt N) (cbrt (+ N 1.0))))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (/ (sqrt N) (cbrt (+ N 1.0))))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fma (- +nan.0) (- N (pow N 2)) (log +nan.0)) (fma (/ (/ 1 N) N) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma (/ (/ 1 N) N) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma (- +nan.0) (- N (pow N 2)) (log +nan.0)) (fma (/ (/ 1 N) N) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma (/ (/ 1 N) N) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (- (fma (fma N (- N) N) +nan.0 +nan.0)) (+ (- 1 (/ (/ 0.125 N) N)) (/ 0.5 N)) (+ (- 1 (/ (/ 0.125 N) N)) (/ 0.5 N)) (- (fma (fma N (- N) N) +nan.0 +nan.0)) (+ (- 1 (/ (/ 0.125 N) N)) (/ 0.5 N)) (+ (- 1 (/ (/ 0.125 N) N)) (/ 0.5 N)) 5.832 * * * [progress]: adding candidates to table 6.589 * * [progress]: iteration 4 / 4 6.589 * * * [progress]: picking best candidate 6.595 * * * * [pick]: Picked # 6.595 * * * [progress]: localizing error 6.633 * * * [progress]: generating rewritten candidates 6.633 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 6.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 6.658 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 6.669 * * * [progress]: generating series expansions 6.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.669 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 6.669 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 6.669 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.669 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.669 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.669 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.669 * [taylor]: Taking taylor expansion of N in N 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 1 into 1 6.669 * [taylor]: Taking taylor expansion of 1.0 in N 6.670 * [backup-simplify]: Simplify 1.0 into 1.0 6.670 * [taylor]: Taking taylor expansion of N in N 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 1 into 1 6.670 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.670 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.671 * [backup-simplify]: Simplify (sqrt 0) into 0 6.672 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.672 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.672 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.672 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.672 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.672 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.672 * [taylor]: Taking taylor expansion of N in N 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [taylor]: Taking taylor expansion of 1.0 in N 6.672 * [backup-simplify]: Simplify 1.0 into 1.0 6.672 * [taylor]: Taking taylor expansion of N in N 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.673 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.673 * [backup-simplify]: Simplify (sqrt 0) into 0 6.674 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.674 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.674 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.674 * [backup-simplify]: Simplify (+ 1 0) into 1 6.675 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.677 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.681 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.692 * [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 6.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.693 * [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))))) 6.693 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 6.693 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 6.693 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.693 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.693 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.693 * [taylor]: Taking taylor expansion of N in N 6.693 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.694 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.694 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.694 * [taylor]: Taking taylor expansion of N in N 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (/ 1 1) into 1 6.694 * [taylor]: Taking taylor expansion of 1.0 in N 6.694 * [backup-simplify]: Simplify 1.0 into 1.0 6.694 * [backup-simplify]: Simplify (+ 1 0) into 1 6.695 * [backup-simplify]: Simplify (* 0 1) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.697 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.704 * [backup-simplify]: Simplify (sqrt 1) into 1 6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.705 * [backup-simplify]: Simplify (+ 0 0) into 0 6.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.709 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.709 * [backup-simplify]: Simplify (log 1) into 0 6.709 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.709 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.709 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.709 * [taylor]: Taking taylor expansion of N in N 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.709 * [taylor]: Taking taylor expansion of N in N 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [taylor]: Taking taylor expansion of 1.0 in N 6.710 * [backup-simplify]: Simplify 1.0 into 1.0 6.710 * [backup-simplify]: Simplify (+ 1 0) into 1 6.710 * [backup-simplify]: Simplify (* 0 1) into 0 6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.712 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.712 * [backup-simplify]: Simplify (sqrt 1) into 1 6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.713 * [backup-simplify]: Simplify (+ 0 0) into 0 6.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.717 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.717 * [backup-simplify]: Simplify (log 1) into 0 6.717 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 6.723 * [backup-simplify]: Simplify 0.5 into 0.5 6.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (+ 0 0) into 0 6.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 6.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 6.740 * [backup-simplify]: Simplify -0.25 into -0.25 6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 6.769 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 6.769 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 6.770 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 6.770 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 6.770 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 6.770 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.770 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.770 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.770 * [taylor]: Taking taylor expansion of -1 in N 6.770 * [backup-simplify]: Simplify -1 into -1 6.770 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.770 * [taylor]: Taking taylor expansion of N in N 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.770 * [taylor]: Taking taylor expansion of 1.0 in N 6.770 * [backup-simplify]: Simplify 1.0 into 1.0 6.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.770 * [taylor]: Taking taylor expansion of N in N 6.770 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify 1 into 1 6.771 * [backup-simplify]: Simplify (/ 1 1) into 1 6.771 * [backup-simplify]: Simplify (- 1) into -1 6.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.772 * [backup-simplify]: Simplify (* 0 -1) into 0 6.773 * [backup-simplify]: Simplify (* -1 0) into 0 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (- 0) into 0 6.774 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.775 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.775 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.776 * [backup-simplify]: Simplify (sqrt 1) into 1 6.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.781 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.783 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.783 * [backup-simplify]: Simplify (log 1) into 0 6.783 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.784 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.784 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.784 * [taylor]: Taking taylor expansion of -1 in N 6.784 * [backup-simplify]: Simplify -1 into -1 6.784 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.784 * [taylor]: Taking taylor expansion of N in N 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.784 * [taylor]: Taking taylor expansion of 1.0 in N 6.784 * [backup-simplify]: Simplify 1.0 into 1.0 6.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.784 * [taylor]: Taking taylor expansion of N in N 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [backup-simplify]: Simplify (/ 1 1) into 1 6.784 * [backup-simplify]: Simplify (- 1) into -1 6.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.785 * [backup-simplify]: Simplify (* 0 -1) into 0 6.786 * [backup-simplify]: Simplify (* -1 0) into 0 6.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.786 * [backup-simplify]: Simplify (- 0) into 0 6.787 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.787 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.787 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.788 * [backup-simplify]: Simplify (sqrt 1) into 1 6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (- 0) into 0 6.788 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.791 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.792 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.793 * [backup-simplify]: Simplify (log 1) into 0 6.793 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 6.796 * [backup-simplify]: Simplify -0.5 into -0.5 6.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.797 * [backup-simplify]: Simplify (- 0) into 0 6.797 * [backup-simplify]: Simplify (+ 0 0) into 0 6.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.799 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.801 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 6.808 * [backup-simplify]: Simplify -0.25 into -0.25 6.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (- 0) into 0 6.809 * [backup-simplify]: Simplify (+ 0 0) into 0 6.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.811 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.840 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 6.840 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 6.840 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 6.840 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 6.841 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 6.841 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 6.841 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.841 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.841 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.841 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.841 * [taylor]: Taking taylor expansion of N in N 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify 1 into 1 6.841 * [taylor]: Taking taylor expansion of 1.0 in N 6.841 * [backup-simplify]: Simplify 1.0 into 1.0 6.841 * [taylor]: Taking taylor expansion of N in N 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify 1 into 1 6.841 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.841 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.842 * [backup-simplify]: Simplify (sqrt 0) into 0 6.843 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.843 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.843 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.843 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.843 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.843 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.843 * [taylor]: Taking taylor expansion of N in N 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify 1 into 1 6.843 * [taylor]: Taking taylor expansion of 1.0 in N 6.843 * [backup-simplify]: Simplify 1.0 into 1.0 6.843 * [taylor]: Taking taylor expansion of N in N 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify 1 into 1 6.843 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.844 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.844 * [backup-simplify]: Simplify (sqrt 0) into 0 6.845 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.845 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.846 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.846 * [backup-simplify]: Simplify (+ 1 0) into 1 6.847 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.848 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.853 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.853 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.863 * [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 6.864 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.864 * [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))))) 6.864 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 6.864 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 6.864 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.864 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.864 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (/ 1 1) into 1 6.865 * [taylor]: Taking taylor expansion of 1.0 in N 6.865 * [backup-simplify]: Simplify 1.0 into 1.0 6.865 * [backup-simplify]: Simplify (+ 1 0) into 1 6.865 * [backup-simplify]: Simplify (* 0 1) into 0 6.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.866 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.866 * [backup-simplify]: Simplify (sqrt 1) into 1 6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.869 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.870 * [backup-simplify]: Simplify (log 1) into 0 6.870 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.870 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.870 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.870 * [taylor]: Taking taylor expansion of N in N 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [backup-simplify]: Simplify 1 into 1 6.870 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.870 * [taylor]: Taking taylor expansion of N in N 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [backup-simplify]: Simplify 1 into 1 6.870 * [backup-simplify]: Simplify (/ 1 1) into 1 6.870 * [taylor]: Taking taylor expansion of 1.0 in N 6.870 * [backup-simplify]: Simplify 1.0 into 1.0 6.871 * [backup-simplify]: Simplify (+ 1 0) into 1 6.871 * [backup-simplify]: Simplify (* 0 1) into 0 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.873 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.873 * [backup-simplify]: Simplify (sqrt 1) into 1 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.879 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.879 * [backup-simplify]: Simplify (log 1) into 0 6.879 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 6.886 * [backup-simplify]: Simplify 0.5 into 0.5 6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (+ 0 0) into 0 6.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 6.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 6.897 * [backup-simplify]: Simplify -0.25 into -0.25 6.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.898 * [backup-simplify]: Simplify (+ 0 0) into 0 6.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 6.923 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 6.923 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 6.923 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 6.924 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 6.924 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 6.924 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.924 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.924 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.924 * [taylor]: Taking taylor expansion of -1 in N 6.924 * [backup-simplify]: Simplify -1 into -1 6.924 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.924 * [taylor]: Taking taylor expansion of N in N 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.924 * [taylor]: Taking taylor expansion of 1.0 in N 6.924 * [backup-simplify]: Simplify 1.0 into 1.0 6.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.924 * [taylor]: Taking taylor expansion of N in N 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify (- 1) into -1 6.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.925 * [backup-simplify]: Simplify (* 0 -1) into 0 6.925 * [backup-simplify]: Simplify (* -1 0) into 0 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.926 * [backup-simplify]: Simplify (- 0) into 0 6.926 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.926 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.927 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.927 * [backup-simplify]: Simplify (sqrt 1) into 1 6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (- 0) into 0 6.928 * [backup-simplify]: Simplify (+ 0 0) into 0 6.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.931 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.932 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.933 * [backup-simplify]: Simplify (log 1) into 0 6.933 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.933 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.933 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.933 * [taylor]: Taking taylor expansion of -1 in N 6.933 * [backup-simplify]: Simplify -1 into -1 6.933 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.933 * [taylor]: Taking taylor expansion of N in N 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 1 into 1 6.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.933 * [taylor]: Taking taylor expansion of 1.0 in N 6.933 * [backup-simplify]: Simplify 1.0 into 1.0 6.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.933 * [taylor]: Taking taylor expansion of N in N 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 1 into 1 6.933 * [backup-simplify]: Simplify (/ 1 1) into 1 6.933 * [backup-simplify]: Simplify (- 1) into -1 6.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.934 * [backup-simplify]: Simplify (* 0 -1) into 0 6.934 * [backup-simplify]: Simplify (* -1 0) into 0 6.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (- 0) into 0 6.935 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.936 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.936 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.936 * [backup-simplify]: Simplify (sqrt 1) into 1 6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (- 0) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.940 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.941 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.942 * [backup-simplify]: Simplify (log 1) into 0 6.942 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 6.946 * [backup-simplify]: Simplify -0.5 into -0.5 6.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.946 * [backup-simplify]: Simplify (- 0) into 0 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.950 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 6.961 * [backup-simplify]: Simplify -0.25 into -0.25 6.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.962 * [backup-simplify]: Simplify (- 0) into 0 6.962 * [backup-simplify]: Simplify (+ 0 0) into 0 6.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.984 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 6.984 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 6.984 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 6.984 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 6.984 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 6.984 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 6.984 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.984 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.984 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.984 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.985 * [taylor]: Taking taylor expansion of N in N 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [taylor]: Taking taylor expansion of 1.0 in N 6.985 * [backup-simplify]: Simplify 1.0 into 1.0 6.985 * [taylor]: Taking taylor expansion of N in N 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.985 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.985 * [backup-simplify]: Simplify (sqrt 0) into 0 6.986 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.987 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.987 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.987 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.987 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.987 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.987 * [taylor]: Taking taylor expansion of N in N 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 1 into 1 6.987 * [taylor]: Taking taylor expansion of 1.0 in N 6.987 * [backup-simplify]: Simplify 1.0 into 1.0 6.987 * [taylor]: Taking taylor expansion of N in N 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 1 into 1 6.987 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.987 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.987 * [backup-simplify]: Simplify (sqrt 0) into 0 6.988 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.988 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.989 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.989 * [backup-simplify]: Simplify (+ 1 0) into 1 6.990 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.991 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.017 * [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 7.017 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.017 * [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))))) 7.018 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 7.018 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 7.018 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 7.018 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 7.018 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.018 * [taylor]: Taking taylor expansion of N in N 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.018 * [taylor]: Taking taylor expansion of N in N 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (/ 1 1) into 1 7.019 * [taylor]: Taking taylor expansion of 1.0 in N 7.019 * [backup-simplify]: Simplify 1.0 into 1.0 7.019 * [backup-simplify]: Simplify (+ 1 0) into 1 7.019 * [backup-simplify]: Simplify (* 0 1) into 0 7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.021 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.022 * [backup-simplify]: Simplify (sqrt 1) into 1 7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.027 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 7.028 * [backup-simplify]: Simplify (log 1) into 0 7.028 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 7.028 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 7.028 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.028 * [taylor]: Taking taylor expansion of N in N 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.028 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.028 * [taylor]: Taking taylor expansion of N in N 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (/ 1 1) into 1 7.028 * [taylor]: Taking taylor expansion of 1.0 in N 7.028 * [backup-simplify]: Simplify 1.0 into 1.0 7.029 * [backup-simplify]: Simplify (+ 1 0) into 1 7.029 * [backup-simplify]: Simplify (* 0 1) into 0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.031 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.031 * [backup-simplify]: Simplify (sqrt 1) into 1 7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.033 * [backup-simplify]: Simplify (+ 0 0) into 0 7.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.037 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 7.037 * [backup-simplify]: Simplify (log 1) into 0 7.037 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 7.043 * [backup-simplify]: Simplify 0.5 into 0.5 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.045 * [backup-simplify]: Simplify (+ 0 0) into 0 7.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.049 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 7.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 7.064 * [backup-simplify]: Simplify -0.25 into -0.25 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 7.094 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 7.094 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 7.095 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 7.095 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 7.095 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 7.095 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.095 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.095 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.095 * [taylor]: Taking taylor expansion of -1 in N 7.095 * [backup-simplify]: Simplify -1 into -1 7.095 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.095 * [taylor]: Taking taylor expansion of N in N 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.095 * [taylor]: Taking taylor expansion of 1.0 in N 7.095 * [backup-simplify]: Simplify 1.0 into 1.0 7.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.096 * [taylor]: Taking taylor expansion of N in N 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [backup-simplify]: Simplify (/ 1 1) into 1 7.096 * [backup-simplify]: Simplify (- 1) into -1 7.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.097 * [backup-simplify]: Simplify (* 0 -1) into 0 7.098 * [backup-simplify]: Simplify (* -1 0) into 0 7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.099 * [backup-simplify]: Simplify (- 0) into 0 7.099 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.100 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.101 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.101 * [backup-simplify]: Simplify (sqrt 1) into 1 7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (- 0) into 0 7.103 * [backup-simplify]: Simplify (+ 0 0) into 0 7.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.108 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.110 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 7.111 * [backup-simplify]: Simplify (log 1) into 0 7.111 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.111 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.111 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.111 * [taylor]: Taking taylor expansion of -1 in N 7.111 * [backup-simplify]: Simplify -1 into -1 7.111 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.111 * [taylor]: Taking taylor expansion of 1.0 in N 7.111 * [backup-simplify]: Simplify 1.0 into 1.0 7.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ 1 1) into 1 7.112 * [backup-simplify]: Simplify (- 1) into -1 7.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.113 * [backup-simplify]: Simplify (* 0 -1) into 0 7.113 * [backup-simplify]: Simplify (* -1 0) into 0 7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (- 0) into 0 7.115 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.116 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.117 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.117 * [backup-simplify]: Simplify (sqrt 1) into 1 7.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.118 * [backup-simplify]: Simplify (- 0) into 0 7.118 * [backup-simplify]: Simplify (+ 0 0) into 0 7.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.124 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.125 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 7.126 * [backup-simplify]: Simplify (log 1) into 0 7.126 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 7.132 * [backup-simplify]: Simplify -0.5 into -0.5 7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify (+ 0 0) into 0 7.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.140 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 7.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 7.156 * [backup-simplify]: Simplify -0.25 into -0.25 7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (- 0) into 0 7.164 * [backup-simplify]: Simplify (+ 0 0) into 0 7.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.167 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 7.185 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 7.185 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 7.185 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 7.185 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 7.185 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 7.185 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 7.185 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 7.185 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 7.185 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.185 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.185 * [taylor]: Taking taylor expansion of N in N 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [taylor]: Taking taylor expansion of 1.0 in N 7.185 * [backup-simplify]: Simplify 1.0 into 1.0 7.185 * [taylor]: Taking taylor expansion of N in N 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.186 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.186 * [backup-simplify]: Simplify (sqrt 0) into 0 7.187 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 7.187 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.187 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 7.187 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 7.187 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.187 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.187 * [taylor]: Taking taylor expansion of N in N 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [taylor]: Taking taylor expansion of 1.0 in N 7.188 * [backup-simplify]: Simplify 1.0 into 1.0 7.188 * [taylor]: Taking taylor expansion of N in N 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.188 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.188 * [backup-simplify]: Simplify (sqrt 0) into 0 7.189 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 7.189 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.190 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.190 * [backup-simplify]: Simplify (+ 1 0) into 1 7.191 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.192 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.196 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.211 * [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 7.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.212 * [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))))) 7.212 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 7.212 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 7.212 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 7.212 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 7.212 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.212 * [taylor]: Taking taylor expansion of N in N 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.212 * [taylor]: Taking taylor expansion of N in N 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.213 * [backup-simplify]: Simplify (/ 1 1) into 1 7.213 * [taylor]: Taking taylor expansion of 1.0 in N 7.213 * [backup-simplify]: Simplify 1.0 into 1.0 7.213 * [backup-simplify]: Simplify (+ 1 0) into 1 7.214 * [backup-simplify]: Simplify (* 0 1) into 0 7.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.215 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.215 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.216 * [backup-simplify]: Simplify (sqrt 1) into 1 7.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (+ 0 0) into 0 7.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.220 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 7.220 * [backup-simplify]: Simplify (log 1) into 0 7.220 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 7.220 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 7.220 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.220 * [taylor]: Taking taylor expansion of N in N 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.220 * [taylor]: Taking taylor expansion of N in N 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) into 1 7.220 * [taylor]: Taking taylor expansion of 1.0 in N 7.220 * [backup-simplify]: Simplify 1.0 into 1.0 7.221 * [backup-simplify]: Simplify (+ 1 0) into 1 7.221 * [backup-simplify]: Simplify (* 0 1) into 0 7.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.222 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.222 * [backup-simplify]: Simplify (sqrt 1) into 1 7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (+ 0 0) into 0 7.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.225 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 7.225 * [backup-simplify]: Simplify (log 1) into 0 7.225 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 7.229 * [backup-simplify]: Simplify 0.5 into 0.5 7.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (+ 0 0) into 0 7.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 7.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 7.240 * [backup-simplify]: Simplify -0.25 into -0.25 7.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify (+ 0 0) into 0 7.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 7.273 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 7.273 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 7.274 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 7.274 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 7.274 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 7.274 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.274 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.274 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.274 * [taylor]: Taking taylor expansion of -1 in N 7.274 * [backup-simplify]: Simplify -1 into -1 7.274 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.274 * [taylor]: Taking taylor expansion of N in N 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.274 * [taylor]: Taking taylor expansion of 1.0 in N 7.274 * [backup-simplify]: Simplify 1.0 into 1.0 7.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.274 * [taylor]: Taking taylor expansion of N in N 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [backup-simplify]: Simplify (- 1) into -1 7.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.275 * [backup-simplify]: Simplify (* 0 -1) into 0 7.275 * [backup-simplify]: Simplify (* -1 0) into 0 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (- 0) into 0 7.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.277 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.277 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.277 * [backup-simplify]: Simplify (sqrt 1) into 1 7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (- 0) into 0 7.278 * [backup-simplify]: Simplify (+ 0 0) into 0 7.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.281 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.282 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 7.283 * [backup-simplify]: Simplify (log 1) into 0 7.283 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.283 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.283 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.283 * [taylor]: Taking taylor expansion of -1 in N 7.283 * [backup-simplify]: Simplify -1 into -1 7.283 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.283 * [taylor]: Taking taylor expansion of N in N 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.283 * [taylor]: Taking taylor expansion of 1.0 in N 7.283 * [backup-simplify]: Simplify 1.0 into 1.0 7.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.283 * [taylor]: Taking taylor expansion of N in N 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify (/ 1 1) into 1 7.283 * [backup-simplify]: Simplify (- 1) into -1 7.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.284 * [backup-simplify]: Simplify (* 0 -1) into 0 7.284 * [backup-simplify]: Simplify (* -1 0) into 0 7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (- 0) into 0 7.285 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.286 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.286 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.286 * [backup-simplify]: Simplify (sqrt 1) into 1 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (- 0) into 0 7.287 * [backup-simplify]: Simplify (+ 0 0) into 0 7.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.290 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.291 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 7.291 * [backup-simplify]: Simplify (log 1) into 0 7.292 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 7.297 * [backup-simplify]: Simplify -0.5 into -0.5 7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (- 0) into 0 7.298 * [backup-simplify]: Simplify (+ 0 0) into 0 7.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.302 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 7.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 7.310 * [backup-simplify]: Simplify -0.25 into -0.25 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (- 0) into 0 7.311 * [backup-simplify]: Simplify (+ 0 0) into 0 7.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.313 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 7.329 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 7.329 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 7.330 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 7.330 * * * [progress]: simplifying candidates 7.332 * [simplify]: Simplifying: (expm1 (log (sqrt (/ (+ 1.0 N) N)))) (log1p (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt 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Extracting #3: cost 720 inf + 4709 8.045 * * [simplify]: Extracting #4: cost 354 inf + 6954 8.051 * * [simplify]: Extracting #5: cost 147 inf + 8431 8.057 * * [simplify]: Extracting #6: cost 34 inf + 9248 8.063 * * [simplify]: Extracting #7: cost 0 inf + 9516 8.069 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ 1.0 N) N)))) (log1p (log (sqrt (/ (+ 1.0 N) N)))) (* (log (cbrt (sqrt (/ (+ 1.0 N) N)))) 2) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N)))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (fabs (cbrt (+ 1.0 N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log 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for: (# # #) 9.059 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.059 * * * * [regimes]: Trying to branch on N from (# # #) 9.125 * * * [regime]: Found split indices: #