22.719 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.081 * * [simplify]: iteration 0: 6 enodes 0.082 * * [simplify]: iteration 1: 9 enodes 0.083 * * [simplify]: iteration 2: 10 enodes 0.084 * * [simplify]: iteration complete: 10 enodes 0.084 * * [simplify]: Extracting #0: cost 1 inf + 0 0.084 * * [simplify]: Extracting #1: cost 4 inf + 0 0.084 * * [simplify]: Extracting #2: cost 6 inf + 0 0.084 * * [simplify]: Extracting #3: cost 6 inf + 1 0.084 * * [simplify]: Extracting #4: cost 0 inf + 560 0.084 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.089 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.099 * * * [progress]: generating rewritten candidates 0.099 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.115 * * * [progress]: generating series expansions 0.115 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.115 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.115 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.115 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.115 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of 1.0 in N 0.115 * [backup-simplify]: Simplify 1.0 into 1.0 0.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.116 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.116 * [taylor]: Taking taylor expansion of (log N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (log 1) into 0 0.116 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.116 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.117 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.117 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.117 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.117 * [taylor]: Taking taylor expansion of (log N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (log 1) into 0 0.118 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.118 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.118 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.118 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [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)) 0.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.138 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.141 * [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))) 0.141 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.141 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of 1.0 in N 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.143 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.143 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.146 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.146 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [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 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.190 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [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 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.218 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.218 * [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)))) 0.218 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.218 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.218 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.220 * [backup-simplify]: Simplify (log -1) into (log -1) 0.220 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.220 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.220 * [taylor]: Taking taylor expansion of -1 in N 0.220 * [backup-simplify]: Simplify -1 into -1 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ -1 1) into -1 0.220 * [backup-simplify]: Simplify (log -1) into (log -1) 0.220 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (log -1) into (log -1) 0.221 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.221 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.221 * [taylor]: Taking taylor expansion of -1 in N 0.221 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ -1 1) into -1 0.222 * [backup-simplify]: Simplify (log -1) into (log -1) 0.223 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.223 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.223 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.224 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.231 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [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 0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.244 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [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 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [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 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.269 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.270 * [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)))) 0.270 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.270 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.270 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of 1.0 in N 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.271 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.271 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of 1.0 in N 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.272 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.272 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [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)) 0.288 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.289 * [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)))) 0.289 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.289 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (log 1) into 0 0.290 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of 1.0 in N 0.291 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (log 1) into 0 0.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.292 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.296 * [backup-simplify]: Simplify 1.0 into 1.0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [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 0.306 * [backup-simplify]: Simplify -0.5 into -0.5 0.306 * [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)))) 0.307 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.307 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.307 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1.0 in N 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.309 * [backup-simplify]: Simplify (log -1) into (log -1) 0.309 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.309 * [taylor]: Taking taylor expansion of 1.0 in N 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.309 * [taylor]: Taking taylor expansion of N in N 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (- 1) into -1 0.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.311 * [backup-simplify]: Simplify (log -1) into (log -1) 0.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.312 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.321 * [backup-simplify]: Simplify -1.0 into -1.0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [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 0.332 * [backup-simplify]: Simplify -0.5 into -0.5 0.333 * [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)))) 0.333 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (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 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (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)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (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 N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (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)))) (- (+ (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)))) 0.335 * * [simplify]: iteration 0: 101 enodes 0.357 * * [simplify]: iteration 1: 213 enodes 0.431 * * [simplify]: iteration 2: 530 enodes 0.681 * * [simplify]: iteration 3: 1557 enodes 1.443 * * [simplify]: iteration complete: 5000 enodes 1.443 * * [simplify]: Extracting #0: cost 40 inf + 0 1.445 * * [simplify]: Extracting #1: cost 375 inf + 1 1.454 * * [simplify]: Extracting #2: cost 1143 inf + 5736 1.472 * * [simplify]: Extracting #3: cost 1267 inf + 39950 1.536 * * [simplify]: Extracting #4: cost 399 inf + 175514 1.622 * * [simplify]: Extracting #5: cost 49 inf + 258629 1.677 * * [simplify]: Extracting #6: cost 23 inf + 265432 1.723 * * [simplify]: Extracting #7: cost 3 inf + 268804 1.777 * * [simplify]: Extracting #8: cost 0 inf + 269563 1.835 * [simplify]: Simplified to: (/ (+ 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))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (+ (log (+ N 1.0)) (log N))) (* (log (+ N 1.0)) (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)) (+ (log (cbrt N)) (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 (+ (* (- 1.0 N) 1.0) (* N N))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (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 (+ (* (* 1.0 1.0) 1.0) (* (* N N) N))) (log (+ (* (- 1.0 N) 1.0) (* N N))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (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))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ (- (* (/ N 1.0) (* (/ N 1.0) -1/2)) (- (log N) (log 1.0))) (* N 1.0)) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ (* (/ N 1.0) (* (/ N 1.0) -1/2)) (+ (log 1.0) (* N 1.0))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (+ 0 (log N)) (/ 0.5 (* N N)))) 1.837 * * * [progress]: adding candidates to table 2.035 * * [progress]: iteration 2 / 4 2.035 * * * [progress]: picking best candidate 2.047 * * * * [pick]: Picked # 2.047 * * * [progress]: localizing error 2.056 * * * [progress]: generating rewritten candidates 2.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.082 * * * [progress]: generating series expansions 2.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.082 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.082 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.082 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.082 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.082 * [taylor]: Taking taylor expansion of N in N 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [taylor]: Taking taylor expansion of 1.0 in N 2.082 * [backup-simplify]: Simplify 1.0 into 1.0 2.082 * [taylor]: Taking taylor expansion of N in N 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.084 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.084 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.084 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.084 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.084 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.084 * [taylor]: Taking taylor expansion of N in N 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of 1.0 in N 2.084 * [backup-simplify]: Simplify 1.0 into 1.0 2.084 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.086 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.086 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.087 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.088 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.088 * [backup-simplify]: Simplify (+ 1 0) into 1 2.089 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.095 * [backup-simplify]: Simplify 1.0 into 1.0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.107 * [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)) 2.108 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.109 * [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))) 2.109 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.109 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.109 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.109 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of 1.0 in N 2.110 * [backup-simplify]: Simplify 1.0 into 1.0 2.110 * [backup-simplify]: Simplify (+ 1 0) into 1 2.110 * [backup-simplify]: Simplify (* 0 1) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.112 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.112 * [backup-simplify]: Simplify (log 1) into 0 2.112 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.112 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [taylor]: Taking taylor expansion of 1.0 in N 2.112 * [backup-simplify]: Simplify 1.0 into 1.0 2.113 * [backup-simplify]: Simplify (+ 1 0) into 1 2.113 * [backup-simplify]: Simplify (* 0 1) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.114 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.114 * [backup-simplify]: Simplify (log 1) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.121 * [backup-simplify]: Simplify 1.0 into 1.0 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.129 * [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 2.129 * [backup-simplify]: Simplify -0.5 into -0.5 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.146 * [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 2.146 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.146 * [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)))) 2.146 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.146 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.146 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.146 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.146 * [taylor]: Taking taylor expansion of -1 in N 2.146 * [backup-simplify]: Simplify -1 into -1 2.146 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.146 * [taylor]: Taking taylor expansion of N in N 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.147 * [taylor]: Taking taylor expansion of 1.0 in N 2.147 * [backup-simplify]: Simplify 1.0 into 1.0 2.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.147 * [taylor]: Taking taylor expansion of N in N 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [backup-simplify]: Simplify (- 1) into -1 2.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.148 * [backup-simplify]: Simplify (* 0 -1) into 0 2.148 * [backup-simplify]: Simplify (* -1 0) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (- 0) into 0 2.149 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.149 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.150 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.150 * [backup-simplify]: Simplify (log 1) into 0 2.150 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.150 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.150 * [taylor]: Taking taylor expansion of -1 in N 2.150 * [backup-simplify]: Simplify -1 into -1 2.150 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.150 * [taylor]: Taking taylor expansion of 1.0 in N 2.150 * [backup-simplify]: Simplify 1.0 into 1.0 2.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (/ 1 1) into 1 2.151 * [backup-simplify]: Simplify (- 1) into -1 2.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.151 * [backup-simplify]: Simplify (* 0 -1) into 0 2.152 * [backup-simplify]: Simplify (* -1 0) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (- 0) into 0 2.153 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.154 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.155 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.155 * [backup-simplify]: Simplify (log 1) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.162 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.169 * [backup-simplify]: Simplify -1.0 into -1.0 2.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.170 * [backup-simplify]: Simplify (- 0) into 0 2.171 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.186 * [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 2.186 * [backup-simplify]: Simplify -0.5 into -0.5 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.212 * [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 2.212 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.213 * [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)))) 2.213 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.213 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.213 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.213 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.213 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.213 * [taylor]: Taking taylor expansion of N in N 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of 1.0 in N 2.213 * [backup-simplify]: Simplify 1.0 into 1.0 2.213 * [taylor]: Taking taylor expansion of N in N 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.214 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.214 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.214 * [taylor]: Taking taylor expansion of N in N 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of 1.0 in N 2.214 * [backup-simplify]: Simplify 1.0 into 1.0 2.214 * [taylor]: Taking taylor expansion of N in N 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.215 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.216 * [backup-simplify]: Simplify 1.0 into 1.0 2.216 * [backup-simplify]: Simplify (+ 1 0) into 1 2.217 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.227 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.227 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.227 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.227 * [taylor]: Taking taylor expansion of N in N 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.227 * [taylor]: Taking taylor expansion of N in N 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (/ 1 1) into 1 2.228 * [taylor]: Taking taylor expansion of 1.0 in N 2.228 * [backup-simplify]: Simplify 1.0 into 1.0 2.228 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.228 * [taylor]: Taking taylor expansion of N in N 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.228 * [taylor]: Taking taylor expansion of N in N 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (/ 1 1) into 1 2.228 * [taylor]: Taking taylor expansion of 1.0 in N 2.228 * [backup-simplify]: Simplify 1.0 into 1.0 2.229 * [backup-simplify]: Simplify (+ 1 0) into 1 2.229 * [backup-simplify]: Simplify (* 0 1) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.231 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.236 * [backup-simplify]: Simplify 1.0 into 1.0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.257 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.257 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.257 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.257 * [taylor]: Taking taylor expansion of -1 in N 2.257 * [backup-simplify]: Simplify -1 into -1 2.258 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.258 * [taylor]: Taking taylor expansion of N in N 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.258 * [taylor]: Taking taylor expansion of 1.0 in N 2.258 * [backup-simplify]: Simplify 1.0 into 1.0 2.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.258 * [taylor]: Taking taylor expansion of N in N 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [backup-simplify]: Simplify (/ 1 1) into 1 2.258 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.258 * [taylor]: Taking taylor expansion of -1 in N 2.258 * [backup-simplify]: Simplify -1 into -1 2.258 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.258 * [taylor]: Taking taylor expansion of N in N 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.259 * [taylor]: Taking taylor expansion of 1.0 in N 2.259 * [backup-simplify]: Simplify 1.0 into 1.0 2.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.259 * [taylor]: Taking taylor expansion of N in N 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [backup-simplify]: Simplify (- 1) into -1 2.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.260 * [backup-simplify]: Simplify (* 0 -1) into 0 2.261 * [backup-simplify]: Simplify (* -1 0) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (- 0) into 0 2.263 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.264 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.264 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.264 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (- 0) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.272 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.272 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.306 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (- 0) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.313 * * * [progress]: simplifying candidates 2.315 * [simplify]: Simplifying: (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 (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (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)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.317 * * [simplify]: iteration 0: 108 enodes 2.359 * * [simplify]: iteration 1: 243 enodes 2.853 * * [simplify]: iteration 2: 619 enodes 3.274 * * [simplify]: iteration 3: 2289 enodes 4.027 * * [simplify]: iteration complete: 5001 enodes 4.027 * * [simplify]: Extracting #0: cost 63 inf + 0 4.028 * * [simplify]: Extracting #1: cost 602 inf + 2 4.033 * * [simplify]: Extracting #2: cost 1549 inf + 6248 4.048 * * [simplify]: Extracting #3: cost 1125 inf + 91302 4.106 * * [simplify]: Extracting #4: cost 313 inf + 241581 4.157 * * [simplify]: Extracting #5: cost 12 inf + 316913 4.205 * * [simplify]: Extracting #6: cost 0 inf + 320141 4.299 * [simplify]: Simplified to: (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)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (* (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (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))) (log (/ (sqrt (+ N 1.0)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 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 (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* (- 1.0 N) 1.0) (* N N))) (* (- N 1.0) N) (+ (- (- (* N 1.0) (log N)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (log 1.0)) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 4.305 * * * [progress]: adding candidates to table 4.614 * * [progress]: iteration 3 / 4 4.615 * * * [progress]: picking best candidate 4.621 * * * * [pick]: Picked # 4.621 * * * [progress]: localizing error 4.642 * * * [progress]: generating rewritten candidates 4.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.676 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.682 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.695 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.706 * * * [progress]: generating series expansions 4.706 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.707 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) 4.707 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in (N) around 0 4.707 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in N 4.707 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 4.707 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 4.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.707 * [taylor]: Taking taylor expansion of N in N 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.707 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.707 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.707 * [taylor]: Taking taylor expansion of N in N 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [taylor]: Taking taylor expansion of 1.0 in N 4.707 * [backup-simplify]: Simplify 1.0 into 1.0 4.708 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.708 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.708 * [backup-simplify]: Simplify (+ 1 0) into 1 4.709 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.710 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 4.710 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 4.711 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 4.711 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.711 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.711 * [taylor]: Taking taylor expansion of N in N 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of 1.0 in N 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.711 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.711 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.713 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 4.713 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in N 4.713 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 4.713 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 4.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.713 * [taylor]: Taking taylor expansion of N in N 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.713 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.713 * [taylor]: Taking taylor expansion of N in N 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of 1.0 in N 4.713 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.714 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.714 * [backup-simplify]: Simplify (+ 1 0) into 1 4.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.716 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 4.716 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 4.716 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 4.716 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.716 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.716 * [taylor]: Taking taylor expansion of N in N 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [taylor]: Taking taylor expansion of 1.0 in N 4.716 * [backup-simplify]: Simplify 1.0 into 1.0 4.716 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.717 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.717 * [backup-simplify]: Simplify (+ 1 0) into 1 4.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.718 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 4.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 4.720 * [backup-simplify]: Simplify (+ (- (log (sqrt 1.0)) (log N)) (log (sqrt 1.0))) into (- (* 2 (log (sqrt 1.0))) (log N)) 4.721 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 4.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 4.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 4.751 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 4.753 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 4.753 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.769 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 4.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.792 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 4.811 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 4.814 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 4.819 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (/ N (pow (sqrt 1.0) 2)) (* 2 (log (sqrt 1.0)))) (+ (log N) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))))) 4.819 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) 4.819 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 4.819 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in N 4.819 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 4.819 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 4.819 * [taylor]: Taking taylor expansion of N in N 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 4.819 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.819 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.819 * [taylor]: Taking taylor expansion of N in N 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (/ 1 1) into 1 4.820 * [taylor]: Taking taylor expansion of 1.0 in N 4.820 * [backup-simplify]: Simplify 1.0 into 1.0 4.820 * [backup-simplify]: Simplify (+ 1 0) into 1 4.820 * [backup-simplify]: Simplify (sqrt 0) into 0 4.821 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.821 * [backup-simplify]: Simplify (* 0 0) into 0 4.822 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.824 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.826 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.826 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.826 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 4.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 4.827 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.827 * [taylor]: Taking taylor expansion of N in N 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [taylor]: Taking taylor expansion of 1.0 in N 4.827 * [backup-simplify]: Simplify 1.0 into 1.0 4.827 * [backup-simplify]: Simplify (+ 1 0) into 1 4.827 * [backup-simplify]: Simplify (sqrt 0) into 0 4.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.828 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.828 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in N 4.828 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 4.828 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 4.829 * [taylor]: Taking taylor expansion of N in N 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 4.829 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.829 * [taylor]: Taking taylor expansion of N in N 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.829 * [taylor]: Taking taylor expansion of 1.0 in N 4.829 * [backup-simplify]: Simplify 1.0 into 1.0 4.829 * [backup-simplify]: Simplify (+ 1 0) into 1 4.829 * [backup-simplify]: Simplify (sqrt 0) into 0 4.830 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.830 * [backup-simplify]: Simplify (* 0 0) into 0 4.831 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.832 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.833 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.835 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.835 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.835 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 4.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 4.836 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.836 * [taylor]: Taking taylor expansion of N in N 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (/ 1 1) into 1 4.836 * [taylor]: Taking taylor expansion of 1.0 in N 4.836 * [backup-simplify]: Simplify 1.0 into 1.0 4.836 * [backup-simplify]: Simplify (+ 1 0) into 1 4.836 * [backup-simplify]: Simplify (sqrt 0) into 0 4.837 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.837 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.838 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 4.839 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.840 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.846 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.855 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.858 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.868 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.868 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.869 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.877 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.895 * [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 4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.915 * [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 4.915 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.916 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.918 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.918 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 4.919 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 4.919 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 4.919 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 4.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 4.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.919 * [taylor]: Taking taylor expansion of 1.0 in N 4.919 * [backup-simplify]: Simplify 1.0 into 1.0 4.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.919 * [taylor]: Taking taylor expansion of N in N 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 1 into 1 4.919 * [backup-simplify]: Simplify (/ 1 1) into 1 4.920 * [backup-simplify]: Simplify (- 1) into -1 4.920 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.920 * [backup-simplify]: Simplify (sqrt 0) into 0 4.922 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.922 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.922 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 4.922 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 4.922 * [taylor]: Taking taylor expansion of -1 in N 4.922 * [backup-simplify]: Simplify -1 into -1 4.922 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 4.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.922 * [taylor]: Taking taylor expansion of 1.0 in N 4.922 * [backup-simplify]: Simplify 1.0 into 1.0 4.922 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.923 * [backup-simplify]: Simplify (/ 1 1) into 1 4.923 * [backup-simplify]: Simplify (- 1) into -1 4.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.924 * [backup-simplify]: Simplify (sqrt 0) into 0 4.925 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.925 * [backup-simplify]: Simplify (* 0 0) into 0 4.926 * [backup-simplify]: Simplify (* -1 0) into 0 4.926 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.927 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (- 0) into 0 4.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.931 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.934 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.936 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.936 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.937 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 4.937 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 4.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 4.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.937 * [taylor]: Taking taylor expansion of 1.0 in N 4.937 * [backup-simplify]: Simplify 1.0 into 1.0 4.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.937 * [taylor]: Taking taylor expansion of N in N 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [backup-simplify]: Simplify (- 1) into -1 4.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.938 * [backup-simplify]: Simplify (sqrt 0) into 0 4.939 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.940 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.940 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 4.940 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 4.940 * [taylor]: Taking taylor expansion of -1 in N 4.940 * [backup-simplify]: Simplify -1 into -1 4.940 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 4.940 * [taylor]: Taking taylor expansion of N in N 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 4.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.940 * [taylor]: Taking taylor expansion of 1.0 in N 4.940 * [backup-simplify]: Simplify 1.0 into 1.0 4.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.940 * [taylor]: Taking taylor expansion of N in N 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (/ 1 1) into 1 4.941 * [backup-simplify]: Simplify (- 1) into -1 4.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.941 * [backup-simplify]: Simplify (sqrt 0) into 0 4.943 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.943 * [backup-simplify]: Simplify (* 0 0) into 0 4.943 * [backup-simplify]: Simplify (* -1 0) into 0 4.944 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.945 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (- 0) into 0 4.946 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.949 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.951 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.953 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.954 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.955 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 4.957 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 4.958 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (- 0) into 0 4.959 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.962 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (- 0) into 0 4.969 * [backup-simplify]: Simplify (+ 0 0) into 0 4.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.975 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.978 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 4.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.983 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.983 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (- 0) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.996 * [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 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- 0) into 0 4.997 * [backup-simplify]: Simplify (+ 0 0) into 0 5.000 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.002 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.004 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.016 * [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 5.016 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.016 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.018 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.018 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.019 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 5.019 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 5.019 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 5.019 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 5.019 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.019 * [taylor]: Taking taylor expansion of N in N 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [taylor]: Taking taylor expansion of 1.0 in N 5.019 * [backup-simplify]: Simplify 1.0 into 1.0 5.019 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.020 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.020 * [backup-simplify]: Simplify (+ 1 0) into 1 5.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.022 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.022 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 5.022 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 5.022 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.022 * [taylor]: Taking taylor expansion of N in N 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [taylor]: Taking taylor expansion of 1.0 in N 5.022 * [backup-simplify]: Simplify 1.0 into 1.0 5.023 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.023 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.023 * [backup-simplify]: Simplify (+ 1 0) into 1 5.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.025 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.026 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 5.037 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 5.037 * [backup-simplify]: Simplify (+ 0 0) into 0 5.042 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 5.058 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 5.061 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 5.061 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 5.061 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 5.061 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 5.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.061 * [taylor]: Taking taylor expansion of N in N 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [taylor]: Taking taylor expansion of 1.0 in N 5.061 * [backup-simplify]: Simplify 1.0 into 1.0 5.062 * [backup-simplify]: Simplify (+ 1 0) into 1 5.062 * [backup-simplify]: Simplify (sqrt 0) into 0 5.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.063 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.063 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 5.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.063 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.063 * [taylor]: Taking taylor expansion of N in N 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (/ 1 1) into 1 5.063 * [taylor]: Taking taylor expansion of 1.0 in N 5.063 * [backup-simplify]: Simplify 1.0 into 1.0 5.064 * [backup-simplify]: Simplify (+ 1 0) into 1 5.064 * [backup-simplify]: Simplify (sqrt 0) into 0 5.065 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.065 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.065 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.068 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ 0 0) into 0 5.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.091 * [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 5.091 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.092 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.092 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 5.092 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 5.092 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 5.092 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.092 * [taylor]: Taking taylor expansion of 1.0 in N 5.092 * [backup-simplify]: Simplify 1.0 into 1.0 5.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (/ 1 1) into 1 5.093 * [backup-simplify]: Simplify (- 1) into -1 5.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.093 * [backup-simplify]: Simplify (sqrt 0) into 0 5.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.094 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.094 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 5.094 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.094 * [taylor]: Taking taylor expansion of 1.0 in N 5.094 * [backup-simplify]: Simplify 1.0 into 1.0 5.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.094 * [taylor]: Taking taylor expansion of N in N 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.095 * [backup-simplify]: Simplify (- 1) into -1 5.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.095 * [backup-simplify]: Simplify (sqrt 0) into 0 5.096 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.096 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.097 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (- 0) into 0 5.098 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.100 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.115 * [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 5.115 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.115 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.116 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 5.116 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 5.116 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 5.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.116 * [taylor]: Taking taylor expansion of N in N 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.116 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 5.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.116 * [taylor]: Taking taylor expansion of N in N 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [taylor]: Taking taylor expansion of 1.0 in N 5.116 * [backup-simplify]: Simplify 1.0 into 1.0 5.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.117 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.117 * [backup-simplify]: Simplify (+ 1 0) into 1 5.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.118 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 5.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.118 * [taylor]: Taking taylor expansion of N in N 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (/ 1 1) into 1 5.118 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 5.118 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.118 * [taylor]: Taking taylor expansion of N in N 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * [taylor]: Taking taylor expansion of 1.0 in N 5.118 * [backup-simplify]: Simplify 1.0 into 1.0 5.119 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.119 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.121 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.122 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 5.122 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 5.127 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.133 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.143 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.149 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) N) (+ (/ 1/2 (sqrt 1.0)) (* (sqrt 1.0) (/ 1 N)))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) 5.149 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 5.149 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 5.149 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 5.149 * [taylor]: Taking taylor expansion of N in N 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.149 * [taylor]: Taking taylor expansion of N in N 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (/ 1 1) into 1 5.150 * [taylor]: Taking taylor expansion of 1.0 in N 5.150 * [backup-simplify]: Simplify 1.0 into 1.0 5.150 * [backup-simplify]: Simplify (+ 1 0) into 1 5.150 * [backup-simplify]: Simplify (sqrt 0) into 0 5.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.152 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 5.152 * [taylor]: Taking taylor expansion of N in N 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.152 * [taylor]: Taking taylor expansion of N in N 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [taylor]: Taking taylor expansion of 1.0 in N 5.153 * [backup-simplify]: Simplify 1.0 into 1.0 5.153 * [backup-simplify]: Simplify (+ 1 0) into 1 5.154 * [backup-simplify]: Simplify (sqrt 0) into 0 5.156 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.156 * [backup-simplify]: Simplify (* 0 0) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.163 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.167 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.168 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ 0 0) into 0 5.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.177 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.177 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.183 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.187 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.187 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.189 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.189 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 5.189 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 5.189 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 5.189 * [taylor]: Taking taylor expansion of -1 in N 5.189 * [backup-simplify]: Simplify -1 into -1 5.189 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 5.189 * [taylor]: Taking taylor expansion of N in N 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.189 * [taylor]: Taking taylor expansion of 1.0 in N 5.189 * [backup-simplify]: Simplify 1.0 into 1.0 5.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.189 * [taylor]: Taking taylor expansion of N in N 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [backup-simplify]: Simplify (- 1) into -1 5.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.191 * [backup-simplify]: Simplify (sqrt 0) into 0 5.192 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.192 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 5.192 * [taylor]: Taking taylor expansion of -1 in N 5.192 * [backup-simplify]: Simplify -1 into -1 5.192 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 5.192 * [taylor]: Taking taylor expansion of N in N 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.192 * [taylor]: Taking taylor expansion of 1.0 in N 5.192 * [backup-simplify]: Simplify 1.0 into 1.0 5.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.192 * [taylor]: Taking taylor expansion of N in N 5.192 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [backup-simplify]: Simplify (- 1) into -1 5.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.194 * [backup-simplify]: Simplify (sqrt 0) into 0 5.195 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.196 * [backup-simplify]: Simplify (* 0 0) into 0 5.196 * [backup-simplify]: Simplify (* -1 0) into 0 5.196 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.197 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (- 0) into 0 5.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.202 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.205 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.207 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.207 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (- 0) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.219 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.222 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.222 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (- 0) into 0 5.224 * [backup-simplify]: Simplify (+ 0 0) into 0 5.228 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.232 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.235 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.236 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.237 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.237 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.238 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) N)) into (log (* (/ 1 N) (sqrt (+ N 1.0)))) 5.238 * [approximate]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in (N) around 0 5.238 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 5.238 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 5.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.238 * [taylor]: Taking taylor expansion of N in N 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [backup-simplify]: Simplify (/ 1 1) into 1 5.238 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 5.238 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.238 * [taylor]: Taking taylor expansion of N in N 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [taylor]: Taking taylor expansion of 1.0 in N 5.238 * [backup-simplify]: Simplify 1.0 into 1.0 5.239 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.239 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.239 * [backup-simplify]: Simplify (+ 1 0) into 1 5.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.242 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 5.243 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.243 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 5.243 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 5.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.243 * [taylor]: Taking taylor expansion of N in N 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [backup-simplify]: Simplify (/ 1 1) into 1 5.243 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 5.243 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.244 * [taylor]: Taking taylor expansion of N in N 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify 1 into 1 5.244 * [taylor]: Taking taylor expansion of 1.0 in N 5.244 * [backup-simplify]: Simplify 1.0 into 1.0 5.244 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.244 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.245 * [backup-simplify]: Simplify (+ 1 0) into 1 5.246 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.247 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 5.248 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 5.250 * [backup-simplify]: Simplify (- (log (sqrt 1.0)) (log N)) into (- (log (sqrt 1.0)) (log N)) 5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 5.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 5.264 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 5.264 * [backup-simplify]: Simplify (+ 0 0) into 0 5.267 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 5.290 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 5.292 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (- (log (sqrt 1.0)) (log N)))) into (- (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (+ (log N) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))))) 5.292 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))) into (log (* N (sqrt (+ (/ 1 N) 1.0)))) 5.292 * [approximate]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 5.292 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 5.293 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 5.293 * [taylor]: Taking taylor expansion of N in N 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 1 into 1 5.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.293 * [taylor]: Taking taylor expansion of N in N 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (/ 1 1) into 1 5.293 * [taylor]: Taking taylor expansion of 1.0 in N 5.293 * [backup-simplify]: Simplify 1.0 into 1.0 5.293 * [backup-simplify]: Simplify (+ 1 0) into 1 5.293 * [backup-simplify]: Simplify (sqrt 0) into 0 5.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.294 * [backup-simplify]: Simplify (* 0 0) into 0 5.295 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.297 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.299 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.299 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.299 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 5.300 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 5.300 * [taylor]: Taking taylor expansion of N in N 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.300 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.300 * [taylor]: Taking taylor expansion of N in N 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (/ 1 1) into 1 5.300 * [taylor]: Taking taylor expansion of 1.0 in N 5.300 * [backup-simplify]: Simplify 1.0 into 1.0 5.300 * [backup-simplify]: Simplify (+ 1 0) into 1 5.300 * [backup-simplify]: Simplify (sqrt 0) into 0 5.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.301 * [backup-simplify]: Simplify (* 0 0) into 0 5.302 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.304 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.306 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.306 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.307 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.308 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log N)) into (+ (log (- +nan.0)) (log N)) 5.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.308 * [backup-simplify]: Simplify (+ 0 0) into 0 5.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.314 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.319 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ 0 0) into 0 5.323 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.325 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.335 * [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 5.335 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.336 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (+ (log (- +nan.0)) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (log (- +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.336 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))) into (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 5.336 * [approximate]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in (N) around 0 5.336 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 5.336 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 5.336 * [taylor]: Taking taylor expansion of -1 in N 5.336 * [backup-simplify]: Simplify -1 into -1 5.336 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 5.336 * [taylor]: Taking taylor expansion of N in N 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.336 * [taylor]: Taking taylor expansion of 1.0 in N 5.336 * [backup-simplify]: Simplify 1.0 into 1.0 5.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.336 * [taylor]: Taking taylor expansion of N in N 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [backup-simplify]: Simplify (/ 1 1) into 1 5.336 * [backup-simplify]: Simplify (- 1) into -1 5.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.337 * [backup-simplify]: Simplify (sqrt 0) into 0 5.338 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.338 * [backup-simplify]: Simplify (* 0 0) into 0 5.338 * [backup-simplify]: Simplify (* -1 0) into 0 5.339 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.339 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (- 0) into 0 5.340 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.342 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.343 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.346 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.346 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.346 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 5.346 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 5.346 * [taylor]: Taking taylor expansion of -1 in N 5.347 * [backup-simplify]: Simplify -1 into -1 5.347 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 5.347 * [taylor]: Taking taylor expansion of N in N 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.347 * [taylor]: Taking taylor expansion of 1.0 in N 5.347 * [backup-simplify]: Simplify 1.0 into 1.0 5.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.347 * [taylor]: Taking taylor expansion of N in N 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [backup-simplify]: Simplify (- 1) into -1 5.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.348 * [backup-simplify]: Simplify (sqrt 0) into 0 5.349 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.349 * [backup-simplify]: Simplify (* 0 0) into 0 5.349 * [backup-simplify]: Simplify (* -1 0) into 0 5.350 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.353 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.354 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.355 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.356 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.357 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.357 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log N)) into (+ (log (- +nan.0)) (log N)) 5.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (- 0) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.362 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.364 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.370 * [backup-simplify]: Simplify (- 0) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.373 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.375 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.377 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.387 * [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 5.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.387 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (+ (log (- +nan.0)) (log (/ 1 (- N)))))) into (- (+ (log (/ -1 N)) (log (- +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.388 * * * [progress]: simplifying candidates 5.392 * [simplify]: Simplifying: (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (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))) 1) (/ (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)) (/ (sqrt 1) 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)) (/ (sqrt 1) 1) (/ (sqrt (+ 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))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) N)) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (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))) 1)) (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))) (log (/ (sqrt 1) 1)) (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))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ 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))) 1)) (log (/ (sqrt (sqrt (+ N 1.0))) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ 1 1)) (log (/ (sqrt (+ N 1.0)) N)) (log 1) (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (+ N 1.0))) (log (/ 1 N)) (log (sqrt (+ N 1.0))) (log N) (log (/ (sqrt (+ N 1.0)) N)) (log (log (/ (sqrt (+ N 1.0)) N))) (exp (log (/ (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))) (* (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (log (/ (sqrt (+ N 1.0)) N))) (sqrt (log (/ (sqrt (+ N 1.0)) N))) (sqrt (log (/ (sqrt (+ N 1.0)) N))) (- (+ (/ N (pow (sqrt 1.0) 2)) (* 2 (log (sqrt 1.0)))) (+ (log N) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (+ (log N) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))))) (- (+ (log (/ 1 N)) (log (- +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (log (- +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.394 * * [simplify]: iteration 0: 238 enodes 5.467 * * [simplify]: iteration 1: 511 enodes 5.653 * * [simplify]: iteration 2: 1378 enodes 6.367 * * [simplify]: iteration complete: 5002 enodes 6.367 * * [simplify]: Extracting #0: cost 124 inf + 0 6.370 * * [simplify]: Extracting #1: cost 833 inf + 2 6.379 * * [simplify]: Extracting #2: cost 1687 inf + 1739 6.393 * * [simplify]: Extracting #3: cost 1851 inf + 15230 6.419 * * [simplify]: Extracting #4: cost 1562 inf + 63352 6.466 * * [simplify]: Extracting #5: cost 1056 inf + 185976 6.546 * * [simplify]: Extracting #6: cost 280 inf + 438859 6.653 * * [simplify]: Extracting #7: cost 9 inf + 541185 6.782 * * [simplify]: Extracting #8: cost 0 inf + 542867 6.889 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (/ (+ N 1.0) N) (* (cbrt (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (cbrt (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))))) (cbrt (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (* (* (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (sqrt (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (sqrt (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0))))) (+ (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (* (* (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N))) (- (log (sqrt (+ N 1.0))) (log N)))) (- (* (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N))) (* (log (sqrt (+ N 1.0))) (- (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)))) (+ 0 (log N)) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (* (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (cbrt (sqrt (+ N 1.0))) (/ (sqrt N) (cbrt (sqrt (+ N 1.0))))))) (+ (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (+ (log (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (+ (log (/ (fabs (cbrt (+ N 1.0))) (sqrt N))) (log (sqrt (+ N 1.0)))) (+ (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (- (log (sqrt (+ N 1.0))) (log (cbrt N))) (log (cbrt N))) (+ 0 (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (+ N 1.0))) (- (- (log (sqrt (+ N 1.0))) (log (cbrt N))) (log (cbrt N))) (+ 0 (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (- (log (sqrt (+ N 1.0))) (log (cbrt N))) (log (cbrt N))) (+ 0 (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (/ (sqrt (cbrt (+ N 1.0))) N)) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (- (log (sqrt (+ N 1.0))) (log N)) (log (sqrt (+ N 1.0)))) (log (+ N 1.0)) (- (log (sqrt (+ (* (- 1.0 N) 1.0) (* N N)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (+ (* (* 1.0 1.0) 1.0) (* N (* N N))))) (log (sqrt (+ (* (- 1.0 N) 1.0) (* N N)))) (log (sqrt (* (- N 1.0) (+ N 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (* (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (cbrt (sqrt (+ N 1.0))) (/ (sqrt N) (cbrt (sqrt (+ N 1.0))))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (fabs (cbrt (+ N 1.0))) (sqrt N)) (/ (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) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ 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) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (/ (sqrt (+ N 1.0)) (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* (sqrt (+ (* (- 1.0 N) 1.0) (* N N))) N) (* N (sqrt (- N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (* (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (/ (sqrt N) (cbrt (sqrt (+ N 1.0)))))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (/ (cbrt (sqrt (+ N 1.0))) N)) (log (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (fabs (cbrt (+ N 1.0))) (sqrt N))) (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 (cbrt N)) (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) 0 (log (/ (sqrt (+ N 1.0)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) 0 (log (/ (sqrt (+ 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 (cbrt N)) (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (- (log (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 N)) (log (sqrt (+ N 1.0))) (log N) (log (/ (sqrt (+ 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))) (* (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (log (/ (sqrt (+ N 1.0)) N))) (sqrt (log (/ (sqrt (+ N 1.0)) N))) (sqrt (log (/ (sqrt (+ N 1.0)) N))) (- (* (log (sqrt 1.0)) 2) (- (+ (* 1/2 (* (/ N 1.0) (/ N 1.0))) (log N)) (/ N 1.0))) (- (- (+ (log +nan.0) (log (- +nan.0))) (log N)) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (+ (+ (log (/ -1 N)) (- (+ (log +nan.0) (log (- +nan.0))) (/ +nan.0 (* N N)))) (/ +nan.0 N)) (+ (+ (* -1/4 (* (/ N 1.0) (/ N 1.0))) (log (sqrt 1.0))) (* 1/2 (/ N 1.0))) (- (log +nan.0) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (- (log +nan.0) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (+ (- (/ (sqrt 1.0) N) (/ (* (/ 1/8 1.0) N) (sqrt 1.0))) (/ 1/2 (sqrt 1.0))) (+ (- (/ (/ +nan.0 N) (* N N)) (/ +nan.0 N)) (- (/ +nan.0 (* N N)))) (+ (- (/ (/ +nan.0 N) (* N N)) (/ +nan.0 N)) (- (/ +nan.0 (* N N)))) (+ (log (sqrt 1.0)) (- (- (* 1/2 (/ N 1.0)) (log N)) (* (* 1/4 (/ N 1.0)) (/ N 1.0)))) (+ (- (log (- +nan.0)) (+ (log N) (/ +nan.0 (* N N)))) (/ +nan.0 N)) (+ (log (/ -1 N)) (- (log (- +nan.0)) (- (/ +nan.0 (* N N)) (/ +nan.0 N)))) 6.900 * * * [progress]: adding candidates to table 7.677 * * [progress]: iteration 4 / 4 7.678 * * * [progress]: picking best candidate 7.691 * * * * [pick]: Picked # 7.692 * * * [progress]: localizing error 7.755 * * * [progress]: generating rewritten candidates 7.755 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.785 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.804 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 7.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 7.829 * * * [progress]: generating series expansions 7.829 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 7.830 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) 7.830 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in (N) around 0 7.830 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in N 7.830 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 7.830 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 7.830 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.830 * [taylor]: Taking taylor expansion of N in N 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ 1 1) into 1 7.831 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 7.831 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.831 * [taylor]: Taking taylor expansion of N in N 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [taylor]: Taking taylor expansion of 1.0 in N 7.831 * [backup-simplify]: Simplify 1.0 into 1.0 7.831 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.832 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.832 * [backup-simplify]: Simplify (+ 1 0) into 1 7.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.835 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 7.835 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 7.835 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 7.836 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 7.836 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.836 * [taylor]: Taking taylor expansion of N in N 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.836 * [taylor]: Taking taylor expansion of 1.0 in N 7.836 * [backup-simplify]: Simplify 1.0 into 1.0 7.836 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.836 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.837 * [backup-simplify]: Simplify (+ 1 0) into 1 7.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.839 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 7.839 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in N 7.839 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 7.839 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 7.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.840 * [taylor]: Taking taylor expansion of N in N 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 7.840 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.840 * [taylor]: Taking taylor expansion of N in N 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of 1.0 in N 7.840 * [backup-simplify]: Simplify 1.0 into 1.0 7.841 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.842 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.842 * [backup-simplify]: Simplify (+ 1 0) into 1 7.844 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.845 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 7.845 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 7.846 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 7.846 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 7.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.846 * [taylor]: Taking taylor expansion of N in N 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify 1 into 1 7.846 * [taylor]: Taking taylor expansion of 1.0 in N 7.846 * [backup-simplify]: Simplify 1.0 into 1.0 7.846 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.847 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.847 * [backup-simplify]: Simplify (+ 1 0) into 1 7.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.849 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 7.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 7.852 * [backup-simplify]: Simplify (+ (- (log (sqrt 1.0)) (log N)) (log (sqrt 1.0))) into (- (* 2 (log (sqrt 1.0))) (log N)) 7.854 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 7.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 7.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 7.889 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 7.890 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.896 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 7.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 7.939 * [backup-simplify]: Simplify (+ 0 0) into 0 7.945 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.964 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 7.967 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 7.969 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 7.973 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (/ N (pow (sqrt 1.0) 2)) (* 2 (log (sqrt 1.0)))) (+ (log N) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))))) 7.973 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) 7.973 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 7.973 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in N 7.973 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 7.973 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 7.973 * [taylor]: Taking taylor expansion of N in N 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 7.973 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.974 * [taylor]: Taking taylor expansion of N in N 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (/ 1 1) into 1 7.974 * [taylor]: Taking taylor expansion of 1.0 in N 7.974 * [backup-simplify]: Simplify 1.0 into 1.0 7.974 * [backup-simplify]: Simplify (+ 1 0) into 1 7.974 * [backup-simplify]: Simplify (sqrt 0) into 0 7.975 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.976 * [backup-simplify]: Simplify (* 0 0) into 0 7.976 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.981 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.984 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.985 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.985 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 7.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.985 * [taylor]: Taking taylor expansion of N in N 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (/ 1 1) into 1 7.985 * [taylor]: Taking taylor expansion of 1.0 in N 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.986 * [backup-simplify]: Simplify (+ 1 0) into 1 7.986 * [backup-simplify]: Simplify (sqrt 0) into 0 7.988 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.989 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.989 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in N 7.989 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 7.989 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 7.989 * [taylor]: Taking taylor expansion of N in N 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 7.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.989 * [taylor]: Taking taylor expansion of N in N 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.990 * [backup-simplify]: Simplify (/ 1 1) into 1 7.990 * [taylor]: Taking taylor expansion of 1.0 in N 7.990 * [backup-simplify]: Simplify 1.0 into 1.0 7.990 * [backup-simplify]: Simplify (+ 1 0) into 1 7.990 * [backup-simplify]: Simplify (sqrt 0) into 0 7.992 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.992 * [backup-simplify]: Simplify (* 0 0) into 0 7.993 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.997 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.000 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.001 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.001 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.001 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.001 * [taylor]: Taking taylor expansion of N in N 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.004 * [backup-simplify]: Simplify (/ 1 1) into 1 8.004 * [taylor]: Taking taylor expansion of 1.0 in N 8.004 * [backup-simplify]: Simplify 1.0 into 1.0 8.004 * [backup-simplify]: Simplify (+ 1 0) into 1 8.005 * [backup-simplify]: Simplify (sqrt 0) into 0 8.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.007 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.008 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 8.010 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 8.011 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.012 * [backup-simplify]: Simplify (+ 0 0) into 0 8.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.019 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.032 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.039 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.039 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.040 * [backup-simplify]: Simplify (+ 0 0) into 0 8.045 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.049 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 8.063 * [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 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (+ 0 0) into 0 8.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.073 * [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 8.073 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.075 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.075 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 8.075 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 8.075 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 8.075 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.075 * [taylor]: Taking taylor expansion of 1.0 in N 8.075 * [backup-simplify]: Simplify 1.0 into 1.0 8.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.076 * [taylor]: Taking taylor expansion of N in N 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 1 into 1 8.076 * [backup-simplify]: Simplify (/ 1 1) into 1 8.076 * [backup-simplify]: Simplify (- 1) into -1 8.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.076 * [backup-simplify]: Simplify (sqrt 0) into 0 8.077 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.077 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.078 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 8.078 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 8.078 * [taylor]: Taking taylor expansion of -1 in N 8.078 * [backup-simplify]: Simplify -1 into -1 8.078 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 8.078 * [taylor]: Taking taylor expansion of N in N 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.078 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.078 * [taylor]: Taking taylor expansion of 1.0 in N 8.078 * [backup-simplify]: Simplify 1.0 into 1.0 8.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.078 * [taylor]: Taking taylor expansion of N in N 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.078 * [backup-simplify]: Simplify (/ 1 1) into 1 8.078 * [backup-simplify]: Simplify (- 1) into -1 8.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.079 * [backup-simplify]: Simplify (sqrt 0) into 0 8.079 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.080 * [backup-simplify]: Simplify (* 0 0) into 0 8.080 * [backup-simplify]: Simplify (* -1 0) into 0 8.080 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 8.081 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.081 * [backup-simplify]: Simplify (- 0) into 0 8.082 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.083 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.085 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.086 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 8.087 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.087 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 8.087 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.087 * [taylor]: Taking taylor expansion of 1.0 in N 8.087 * [backup-simplify]: Simplify 1.0 into 1.0 8.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.087 * [taylor]: Taking taylor expansion of N in N 8.087 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify 1 into 1 8.087 * [backup-simplify]: Simplify (/ 1 1) into 1 8.087 * [backup-simplify]: Simplify (- 1) into -1 8.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.088 * [backup-simplify]: Simplify (sqrt 0) into 0 8.089 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.089 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.089 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 8.089 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 8.089 * [taylor]: Taking taylor expansion of -1 in N 8.089 * [backup-simplify]: Simplify -1 into -1 8.089 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 8.089 * [taylor]: Taking taylor expansion of N in N 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.089 * [taylor]: Taking taylor expansion of 1.0 in N 8.089 * [backup-simplify]: Simplify 1.0 into 1.0 8.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.089 * [taylor]: Taking taylor expansion of N in N 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (/ 1 1) into 1 8.090 * [backup-simplify]: Simplify (- 1) into -1 8.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.090 * [backup-simplify]: Simplify (sqrt 0) into 0 8.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.091 * [backup-simplify]: Simplify (* 0 0) into 0 8.091 * [backup-simplify]: Simplify (* -1 0) into 0 8.092 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 8.092 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.093 * [backup-simplify]: Simplify (- 0) into 0 8.093 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.095 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.097 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.098 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 8.099 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.099 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 8.100 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 8.101 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (- 0) into 0 8.102 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.104 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (- 0) into 0 8.110 * [backup-simplify]: Simplify (+ 0 0) into 0 8.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.114 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.116 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 8.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.121 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.121 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.122 * [backup-simplify]: Simplify (- 0) into 0 8.122 * [backup-simplify]: Simplify (+ 0 0) into 0 8.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.132 * [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 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (- 0) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.136 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.138 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 8.140 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 8.150 * [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 8.150 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.150 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.152 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.152 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) 8.152 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in (N) around 0 8.152 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in N 8.152 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 8.152 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 8.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.152 * [taylor]: Taking taylor expansion of N in N 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify 1 into 1 8.152 * [backup-simplify]: Simplify (/ 1 1) into 1 8.153 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.153 * [taylor]: Taking taylor expansion of N in N 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [taylor]: Taking taylor expansion of 1.0 in N 8.153 * [backup-simplify]: Simplify 1.0 into 1.0 8.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.153 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.153 * [backup-simplify]: Simplify (+ 1 0) into 1 8.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.155 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 8.155 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.155 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 8.155 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.155 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.155 * [taylor]: Taking taylor expansion of N in N 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [taylor]: Taking taylor expansion of 1.0 in N 8.155 * [backup-simplify]: Simplify 1.0 into 1.0 8.156 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.156 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.156 * [backup-simplify]: Simplify (+ 1 0) into 1 8.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.158 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.158 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 N) (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) in N 8.158 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 8.158 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 8.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.158 * [taylor]: Taking taylor expansion of N in N 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (/ 1 1) into 1 8.158 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.158 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.158 * [taylor]: Taking taylor expansion of N in N 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [taylor]: Taking taylor expansion of 1.0 in N 8.158 * [backup-simplify]: Simplify 1.0 into 1.0 8.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.159 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.159 * [backup-simplify]: Simplify (+ 1 0) into 1 8.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.161 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 8.162 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.162 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 8.162 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.162 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.162 * [taylor]: Taking taylor expansion of N in N 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [taylor]: Taking taylor expansion of 1.0 in N 8.162 * [backup-simplify]: Simplify 1.0 into 1.0 8.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.163 * [backup-simplify]: Simplify (+ 1 0) into 1 8.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.166 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 8.169 * [backup-simplify]: Simplify (+ (- (log (sqrt 1.0)) (log N)) (log (sqrt 1.0))) into (- (* 2 (log (sqrt 1.0))) (log N)) 8.170 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 8.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 8.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 8.195 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 8.196 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.201 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 8.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 8.230 * [backup-simplify]: Simplify (+ 0 0) into 0 8.235 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 8.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 8.265 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 8.269 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 8.277 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (/ N (pow (sqrt 1.0) 2)) (* 2 (log (sqrt 1.0)))) (+ (log N) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))))) 8.277 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) 8.277 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 8.277 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in N 8.277 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 8.277 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 8.277 * [taylor]: Taking taylor expansion of N in N 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 1 into 1 8.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.277 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.277 * [taylor]: Taking taylor expansion of N in N 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 1 into 1 8.278 * [backup-simplify]: Simplify (/ 1 1) into 1 8.278 * [taylor]: Taking taylor expansion of 1.0 in N 8.278 * [backup-simplify]: Simplify 1.0 into 1.0 8.278 * [backup-simplify]: Simplify (+ 1 0) into 1 8.279 * [backup-simplify]: Simplify (sqrt 0) into 0 8.280 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.280 * [backup-simplify]: Simplify (* 0 0) into 0 8.281 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 8.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.282 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.285 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.288 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.289 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.289 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.289 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.289 * [taylor]: Taking taylor expansion of N in N 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (/ 1 1) into 1 8.290 * [taylor]: Taking taylor expansion of 1.0 in N 8.290 * [backup-simplify]: Simplify 1.0 into 1.0 8.290 * [backup-simplify]: Simplify (+ 1 0) into 1 8.290 * [backup-simplify]: Simplify (sqrt 0) into 0 8.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.292 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.292 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1.0)))) (log (sqrt (+ (/ 1 N) 1.0)))) in N 8.292 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 8.292 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 8.292 * [taylor]: Taking taylor expansion of N in N 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.292 * [taylor]: Taking taylor expansion of N in N 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (/ 1 1) into 1 8.293 * [taylor]: Taking taylor expansion of 1.0 in N 8.293 * [backup-simplify]: Simplify 1.0 into 1.0 8.293 * [backup-simplify]: Simplify (+ 1 0) into 1 8.294 * [backup-simplify]: Simplify (sqrt 0) into 0 8.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.295 * [backup-simplify]: Simplify (* 0 0) into 0 8.296 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 8.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.300 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.303 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.304 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.304 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.304 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.304 * [taylor]: Taking taylor expansion of N in N 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify (/ 1 1) into 1 8.304 * [taylor]: Taking taylor expansion of 1.0 in N 8.304 * [backup-simplify]: Simplify 1.0 into 1.0 8.305 * [backup-simplify]: Simplify (+ 1 0) into 1 8.305 * [backup-simplify]: Simplify (sqrt 0) into 0 8.306 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.307 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.308 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 8.309 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 8.311 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 8.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.312 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.319 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.330 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.334 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.334 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.337 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.339 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 8.350 * [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 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ 0 0) into 0 8.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.370 * [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 8.370 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.373 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.373 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 8.373 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 8.374 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 8.374 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.374 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.374 * [taylor]: Taking taylor expansion of 1.0 in N 8.374 * [backup-simplify]: Simplify 1.0 into 1.0 8.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.374 * [taylor]: Taking taylor expansion of N in N 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [backup-simplify]: Simplify (/ 1 1) into 1 8.375 * [backup-simplify]: Simplify (- 1) into -1 8.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.375 * [backup-simplify]: Simplify (sqrt 0) into 0 8.377 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.377 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.377 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 8.377 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 8.377 * [taylor]: Taking taylor expansion of -1 in N 8.377 * [backup-simplify]: Simplify -1 into -1 8.377 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.377 * [taylor]: Taking taylor expansion of 1.0 in N 8.377 * [backup-simplify]: Simplify 1.0 into 1.0 8.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.378 * [taylor]: Taking taylor expansion of N in N 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [backup-simplify]: Simplify (- 1) into -1 8.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.379 * [backup-simplify]: Simplify (sqrt 0) into 0 8.380 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.381 * [backup-simplify]: Simplify (* 0 0) into 0 8.381 * [backup-simplify]: Simplify (* -1 0) into 0 8.382 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 8.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 8.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.388 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.390 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.393 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 8.394 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.394 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 8.394 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.394 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.394 * [taylor]: Taking taylor expansion of 1.0 in N 8.394 * [backup-simplify]: Simplify 1.0 into 1.0 8.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.395 * [taylor]: Taking taylor expansion of N in N 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (/ 1 1) into 1 8.395 * [backup-simplify]: Simplify (- 1) into -1 8.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.396 * [backup-simplify]: Simplify (sqrt 0) into 0 8.397 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.398 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.398 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 8.398 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 8.398 * [taylor]: Taking taylor expansion of -1 in N 8.398 * [backup-simplify]: Simplify -1 into -1 8.398 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 8.398 * [taylor]: Taking taylor expansion of N in N 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.398 * [taylor]: Taking taylor expansion of 1.0 in N 8.398 * [backup-simplify]: Simplify 1.0 into 1.0 8.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.398 * [taylor]: Taking taylor expansion of N in N 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (/ 1 1) into 1 8.399 * [backup-simplify]: Simplify (- 1) into -1 8.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.400 * [backup-simplify]: Simplify (sqrt 0) into 0 8.401 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.402 * [backup-simplify]: Simplify (* 0 0) into 0 8.402 * [backup-simplify]: Simplify (* -1 0) into 0 8.403 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 8.403 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 8.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.404 * [backup-simplify]: Simplify (- 0) into 0 8.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.408 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.411 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 8.413 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 8.414 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.415 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 8.417 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 8.418 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 8.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.419 * [backup-simplify]: Simplify (- 0) into 0 8.419 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.423 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (- 0) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.438 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.441 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 8.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.452 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.452 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.454 * [backup-simplify]: Simplify (+ 0 0) into 0 8.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.466 * [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 8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (- 0) into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.473 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 8.477 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 8.491 * [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 8.491 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 8.492 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.493 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.493 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.493 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 8.493 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 8.493 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 8.493 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.493 * [taylor]: Taking taylor expansion of N in N 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [taylor]: Taking taylor expansion of 1.0 in N 8.493 * [backup-simplify]: Simplify 1.0 into 1.0 8.494 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.494 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.494 * [backup-simplify]: Simplify (+ 1 0) into 1 8.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.496 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.496 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 8.496 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.496 * [taylor]: Taking taylor expansion of N in N 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 1 into 1 8.496 * [taylor]: Taking taylor expansion of 1.0 in N 8.496 * [backup-simplify]: Simplify 1.0 into 1.0 8.496 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.496 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.496 * [backup-simplify]: Simplify (+ 1 0) into 1 8.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.498 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.498 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 8.505 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 8.506 * [backup-simplify]: Simplify (+ 0 0) into 0 8.509 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 8.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 8.525 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 8.527 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 8.528 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 8.528 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 8.528 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.528 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.528 * [taylor]: Taking taylor expansion of N in N 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.528 * [backup-simplify]: Simplify (/ 1 1) into 1 8.528 * [taylor]: Taking taylor expansion of 1.0 in N 8.528 * [backup-simplify]: Simplify 1.0 into 1.0 8.528 * [backup-simplify]: Simplify (+ 1 0) into 1 8.529 * [backup-simplify]: Simplify (sqrt 0) into 0 8.529 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.530 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.530 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.530 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.530 * [taylor]: Taking taylor expansion of N in N 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 1 into 1 8.530 * [backup-simplify]: Simplify (/ 1 1) into 1 8.530 * [taylor]: Taking taylor expansion of 1.0 in N 8.530 * [backup-simplify]: Simplify 1.0 into 1.0 8.530 * [backup-simplify]: Simplify (+ 1 0) into 1 8.531 * [backup-simplify]: Simplify (sqrt 0) into 0 8.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.532 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.532 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.533 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.535 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (+ 0 0) into 0 8.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.550 * [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 8.551 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.551 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.551 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 8.551 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 8.551 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.551 * [taylor]: Taking taylor expansion of 1.0 in N 8.551 * [backup-simplify]: Simplify 1.0 into 1.0 8.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.551 * [taylor]: Taking taylor expansion of N in N 8.551 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [backup-simplify]: Simplify (- 1) into -1 8.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.552 * [backup-simplify]: Simplify (sqrt 0) into 0 8.553 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.553 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.553 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.553 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.553 * [taylor]: Taking taylor expansion of 1.0 in N 8.553 * [backup-simplify]: Simplify 1.0 into 1.0 8.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.553 * [taylor]: Taking taylor expansion of N in N 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.554 * [backup-simplify]: Simplify (/ 1 1) into 1 8.554 * [backup-simplify]: Simplify (- 1) into -1 8.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.554 * [backup-simplify]: Simplify (sqrt 0) into 0 8.555 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.555 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.556 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (- 0) into 0 8.557 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.558 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.563 * [backup-simplify]: Simplify (- 0) into 0 8.563 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.573 * [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 8.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.574 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.574 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 8.574 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 8.574 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 8.574 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 8.574 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.574 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.574 * [taylor]: Taking taylor expansion of N in N 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of 1.0 in N 8.574 * [backup-simplify]: Simplify 1.0 into 1.0 8.574 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.575 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.575 * [backup-simplify]: Simplify (+ 1 0) into 1 8.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.577 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.577 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 8.577 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 8.577 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.577 * [taylor]: Taking taylor expansion of N in N 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [taylor]: Taking taylor expansion of 1.0 in N 8.577 * [backup-simplify]: Simplify 1.0 into 1.0 8.578 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.578 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 8.578 * [backup-simplify]: Simplify (+ 1 0) into 1 8.580 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 8.581 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.582 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 8.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 8.593 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 8.594 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 8.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 8.616 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 8.619 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 8.619 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 8.619 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 8.619 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.619 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.619 * [taylor]: Taking taylor expansion of N in N 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (/ 1 1) into 1 8.620 * [taylor]: Taking taylor expansion of 1.0 in N 8.620 * [backup-simplify]: Simplify 1.0 into 1.0 8.620 * [backup-simplify]: Simplify (+ 1 0) into 1 8.620 * [backup-simplify]: Simplify (sqrt 0) into 0 8.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.621 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.621 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 8.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 8.621 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.621 * [taylor]: Taking taylor expansion of N in N 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (/ 1 1) into 1 8.621 * [taylor]: Taking taylor expansion of 1.0 in N 8.622 * [backup-simplify]: Simplify 1.0 into 1.0 8.622 * [backup-simplify]: Simplify (+ 1 0) into 1 8.622 * [backup-simplify]: Simplify (sqrt 0) into 0 8.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.623 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.623 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.626 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.629 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.646 * [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 8.647 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.647 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.647 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 8.647 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 8.648 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.648 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.648 * [taylor]: Taking taylor expansion of 1.0 in N 8.648 * [backup-simplify]: Simplify 1.0 into 1.0 8.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.648 * [taylor]: Taking taylor expansion of N in N 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [backup-simplify]: Simplify (- 1) into -1 8.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.649 * [backup-simplify]: Simplify (sqrt 0) into 0 8.651 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.651 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.651 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 8.651 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 8.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.651 * [taylor]: Taking taylor expansion of 1.0 in N 8.651 * [backup-simplify]: Simplify 1.0 into 1.0 8.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.651 * [taylor]: Taking taylor expansion of N in N 8.651 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify 1 into 1 8.652 * [backup-simplify]: Simplify (/ 1 1) into 1 8.652 * [backup-simplify]: Simplify (- 1) into -1 8.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.653 * [backup-simplify]: Simplify (sqrt 0) into 0 8.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.654 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.655 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.656 * [backup-simplify]: Simplify (- 0) into 0 8.657 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.660 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.666 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (- 0) into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.686 * [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 8.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.687 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.687 * * * [progress]: simplifying candidates 8.691 * [simplify]: Simplifying: (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) 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[simplify]: iteration 3: 3469 enodes 10.943 * * [simplify]: iteration complete: 5002 enodes 10.944 * * [simplify]: Extracting #0: cost 52 inf + 0 10.945 * * [simplify]: Extracting #1: cost 363 inf + 1 10.949 * * [simplify]: Extracting #2: cost 913 inf + 1851 10.954 * * [simplify]: Extracting #3: cost 1112 inf + 16736 10.969 * * [simplify]: Extracting #4: cost 791 inf + 96478 11.028 * * [simplify]: Extracting #5: cost 173 inf + 295184 11.113 * * [simplify]: Extracting #6: cost 40 inf + 343430 11.184 * * [simplify]: Extracting #7: cost 30 inf + 347150 11.304 * * [simplify]: Extracting #8: cost 3 inf + 352886 11.427 * * [simplify]: Extracting #9: cost 0 inf + 353645 11.550 * [simplify]: Simplified to: (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) 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)) 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adding candidates to table 12.592 * [progress]: [Phase 3 of 3] Extracting. 12.592 * * [regime]: Finding splitpoints for: (# # #) 12.593 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.593 * * * * [regimes]: Trying to branch on N from (# # #) 12.641 * * * [regime]: Found split indices: #