5.006 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.048 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.052 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.074 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.081 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.081 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (log 1) into 0 0.083 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [backup-simplify]: Simplify 1.0 into 1.0 0.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.083 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.083 * [taylor]: Taking taylor expansion of (log N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (log 1) into 0 0.084 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.084 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.084 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.084 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [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)) 0.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.098 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.100 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.100 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.100 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of 1.0 in N 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify (log 1) into 0 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.103 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.104 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.104 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [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 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.123 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [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 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [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 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.136 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.137 * [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)))) 0.137 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.137 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.137 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.138 * [backup-simplify]: Simplify (log -1) into (log -1) 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ -1 1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (- 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.140 * [backup-simplify]: Simplify (log -1) into (log -1) 0.140 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.140 * [taylor]: Taking taylor expansion of -1 in N 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ -1 1) into -1 0.141 * [backup-simplify]: Simplify (log -1) into (log -1) 0.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.142 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.149 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.158 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [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 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [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 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.171 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.172 * [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)))) 0.172 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.172 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.172 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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)) 0.183 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.184 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.184 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.184 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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 0.196 * [backup-simplify]: Simplify -0.5 into -0.5 0.196 * [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)))) 0.196 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.197 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (- 1) into -1 0.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.198 * [backup-simplify]: Simplify (log -1) into (log -1) 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (- 1) into -1 0.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.199 * [backup-simplify]: Simplify (log -1) into (log -1) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.199 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.209 * [backup-simplify]: Simplify -1.0 into -1.0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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 0.216 * [backup-simplify]: Simplify -0.5 into -0.5 0.216 * [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)))) 0.217 * * * [progress]: simplifying candidates 0.218 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (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)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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 N) (log 1.0)) (* 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)))) 0.218 * [simplify]: Sending expressions to egg_math: (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (expm1 (- (log (+ h0 h1)) (log h0))) (log1p (- (log (+ h0 h1)) (log h0))) (- (log h0)) (- (log h0)) (- (log h0)) (- (log h0)) (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.222 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.226 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.243 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.335 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.337 * * * [progress]: adding candidates to table 0.459 * * [progress]: iteration 2 / 4 0.459 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.469 * * * [progress]: generating rewritten candidates 0.469 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.475 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.497 * * * [progress]: generating series expansions 0.497 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.497 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.497 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.497 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.497 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.498 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.499 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.499 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.499 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.499 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.499 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.500 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.500 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.500 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.511 * [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)) 0.511 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.512 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.512 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.512 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.512 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.512 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of 1.0 in N 0.513 * [backup-simplify]: Simplify 1.0 into 1.0 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.513 * [backup-simplify]: Simplify (* 0 1) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.514 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.515 * [backup-simplify]: Simplify (log 1) into 0 0.515 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.515 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of 1.0 in N 0.515 * [backup-simplify]: Simplify 1.0 into 1.0 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (* 0 1) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.516 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.517 * [backup-simplify]: Simplify (log 1) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.522 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.529 * [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 0.529 * [backup-simplify]: Simplify -0.5 into -0.5 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.539 * [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 0.539 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.540 * [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)))) 0.540 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.540 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.540 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.540 * [taylor]: Taking taylor expansion of -1 in N 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.540 * [taylor]: Taking taylor expansion of 1.0 in N 0.540 * [backup-simplify]: Simplify 1.0 into 1.0 0.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (- 1) into -1 0.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.541 * [backup-simplify]: Simplify (* 0 -1) into 0 0.541 * [backup-simplify]: Simplify (* -1 0) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.542 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.543 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.543 * [backup-simplify]: Simplify (log 1) into 0 0.543 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.543 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.543 * [taylor]: Taking taylor expansion of -1 in N 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.543 * [taylor]: Taking taylor expansion of 1.0 in N 0.543 * [backup-simplify]: Simplify 1.0 into 1.0 0.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (- 1) into -1 0.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.544 * [backup-simplify]: Simplify (* 0 -1) into 0 0.544 * [backup-simplify]: Simplify (* -1 0) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.546 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.546 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.546 * [backup-simplify]: Simplify (log 1) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.550 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.554 * [backup-simplify]: Simplify -1.0 into -1.0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.562 * [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 0.562 * [backup-simplify]: Simplify -0.5 into -0.5 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.574 * [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 0.574 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.574 * [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)))) 0.574 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.574 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.574 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.574 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.574 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of 1.0 in N 0.574 * [backup-simplify]: Simplify 1.0 into 1.0 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.575 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.575 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.575 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of 1.0 in N 0.575 * [backup-simplify]: Simplify 1.0 into 1.0 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.576 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.576 * [backup-simplify]: Simplify 1.0 into 1.0 0.581 * [backup-simplify]: Simplify (+ 1 0) into 1 0.582 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [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 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [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 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.587 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.587 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [backup-simplify]: Simplify 1.0 into 1.0 0.588 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [backup-simplify]: Simplify 1.0 into 1.0 0.588 * [backup-simplify]: Simplify (+ 1 0) into 1 0.589 * [backup-simplify]: Simplify (* 0 1) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.590 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.592 * [backup-simplify]: Simplify 1.0 into 1.0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [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 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [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 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.602 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.602 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.602 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.602 * [taylor]: Taking taylor expansion of -1 in N 0.602 * [backup-simplify]: Simplify -1 into -1 0.602 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.602 * [taylor]: Taking taylor expansion of -1 in N 0.602 * [backup-simplify]: Simplify -1 into -1 0.602 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [backup-simplify]: Simplify (- 1) into -1 0.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.603 * [backup-simplify]: Simplify (* 0 -1) into 0 0.603 * [backup-simplify]: Simplify (* -1 0) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.605 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.605 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.609 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.609 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [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 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.622 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [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 0.623 * [backup-simplify]: Simplify (- 0) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.625 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.625 * * * [progress]: simplifying candidates 0.627 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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) 0.627 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.630 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.634 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.648 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.724 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.727 * * * [progress]: adding candidates to table 0.841 * * [progress]: iteration 3 / 4 0.841 * * * [progress]: picking best candidate 0.845 * * * * [pick]: Picked # 0.845 * * * [progress]: localizing error 0.854 * * * [progress]: generating rewritten candidates 0.854 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.902 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.916 * * * [progress]: generating series expansions 0.916 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.916 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 0.916 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 0.916 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.916 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.916 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.916 * [taylor]: Taking taylor expansion of N in N 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of 1.0 in N 0.916 * [backup-simplify]: Simplify 1.0 into 1.0 0.917 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.917 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.918 * [backup-simplify]: Simplify (+ 1 0) into 1 0.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.924 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.924 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.924 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.924 * [taylor]: Taking taylor expansion of N in N 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.924 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.924 * [taylor]: Taking taylor expansion of N in N 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of 1.0 in N 0.924 * [backup-simplify]: Simplify 1.0 into 1.0 0.925 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.925 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.925 * [backup-simplify]: Simplify (+ 1 0) into 1 0.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.927 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.927 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.927 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.927 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.927 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of 1.0 in N 0.927 * [backup-simplify]: Simplify 1.0 into 1.0 0.928 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.928 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.928 * [backup-simplify]: Simplify (+ 1 0) into 1 0.929 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.930 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.930 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.930 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of 1.0 in N 0.930 * [backup-simplify]: Simplify 1.0 into 1.0 0.930 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.931 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.931 * [backup-simplify]: Simplify (+ 1 0) into 1 0.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.932 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.933 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 0.934 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 0.935 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 0.941 * [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)) 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 0.950 * [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)) 0.953 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 0.954 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.971 * [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)) 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [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)))) 0.994 * [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)) 0.997 * [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)))) 0.999 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.002 * [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 (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 1.003 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 1.003 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.003 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.003 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [taylor]: Taking taylor expansion of 1.0 in N 1.003 * [backup-simplify]: Simplify 1.0 into 1.0 1.003 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [backup-simplify]: Simplify (sqrt 0) into 0 1.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.005 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.005 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.005 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [backup-simplify]: Simplify 1.0 into 1.0 1.006 * [backup-simplify]: Simplify (+ 1 0) into 1 1.012 * [backup-simplify]: Simplify (sqrt 0) into 0 1.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.013 * [backup-simplify]: Simplify (* 0 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.016 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.017 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.018 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.018 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.018 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.018 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.018 * [taylor]: Taking taylor expansion of N in N 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [taylor]: Taking taylor expansion of 1.0 in N 1.018 * [backup-simplify]: Simplify 1.0 into 1.0 1.018 * [backup-simplify]: Simplify (+ 1 0) into 1 1.018 * [backup-simplify]: Simplify (sqrt 0) into 0 1.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.019 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.019 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.019 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.019 * [taylor]: Taking taylor expansion of N in N 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (/ 1 1) into 1 1.020 * [taylor]: Taking taylor expansion of 1.0 in N 1.020 * [backup-simplify]: Simplify 1.0 into 1.0 1.020 * [backup-simplify]: Simplify (+ 1 0) into 1 1.020 * [backup-simplify]: Simplify (sqrt 0) into 0 1.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.021 * [backup-simplify]: Simplify (* 0 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.024 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.025 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.026 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.027 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.028 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.028 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.031 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.039 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.043 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.043 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.053 * [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 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.059 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.067 * [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 1.068 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.069 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.070 * [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))))))) 1.070 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.070 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.070 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.070 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.070 * [taylor]: Taking taylor expansion of 1.0 in N 1.070 * [backup-simplify]: Simplify 1.0 into 1.0 1.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (/ 1 1) into 1 1.070 * [backup-simplify]: Simplify (- 1) into -1 1.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.071 * [backup-simplify]: Simplify (sqrt 0) into 0 1.071 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.072 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.072 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.072 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.072 * [taylor]: Taking taylor expansion of -1 in N 1.072 * [backup-simplify]: Simplify -1 into -1 1.072 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.072 * [taylor]: Taking taylor expansion of N in N 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.072 * [taylor]: Taking taylor expansion of 1.0 in N 1.072 * [backup-simplify]: Simplify 1.0 into 1.0 1.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.072 * [taylor]: Taking taylor expansion of N in N 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [backup-simplify]: Simplify (- 1) into -1 1.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.073 * [backup-simplify]: Simplify (sqrt 0) into 0 1.074 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.074 * [backup-simplify]: Simplify (* 0 0) into 0 1.074 * [backup-simplify]: Simplify (* -1 0) into 0 1.074 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.075 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.078 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.079 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.080 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.081 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.081 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.081 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.081 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [backup-simplify]: Simplify 1.0 into 1.0 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [backup-simplify]: Simplify (- 1) into -1 1.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.082 * [backup-simplify]: Simplify (sqrt 0) into 0 1.083 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.083 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.083 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.083 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.083 * [taylor]: Taking taylor expansion of -1 in N 1.083 * [backup-simplify]: Simplify -1 into -1 1.083 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.083 * [taylor]: Taking taylor expansion of N in N 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.083 * [taylor]: Taking taylor expansion of 1.0 in N 1.083 * [backup-simplify]: Simplify 1.0 into 1.0 1.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.083 * [taylor]: Taking taylor expansion of N in N 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [backup-simplify]: Simplify (- 1) into -1 1.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.084 * [backup-simplify]: Simplify (sqrt 0) into 0 1.085 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.085 * [backup-simplify]: Simplify (* 0 0) into 0 1.085 * [backup-simplify]: Simplify (* -1 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.086 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.088 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.090 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.091 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.092 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.092 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.093 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.094 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.103 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.111 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.112 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.117 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.127 * [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 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.133 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.135 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.143 * [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 1.144 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.144 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.145 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.145 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 1.145 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.145 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.145 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of 1.0 in N 1.145 * [backup-simplify]: Simplify 1.0 into 1.0 1.146 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.146 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.146 * [backup-simplify]: Simplify (+ 1 0) into 1 1.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.147 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.148 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.148 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.148 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of 1.0 in N 1.148 * [backup-simplify]: Simplify 1.0 into 1.0 1.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.148 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.148 * [backup-simplify]: Simplify (+ 1 0) into 1 1.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.150 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.150 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.156 * [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)) 1.157 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.174 * [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)) 1.175 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.178 * [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 (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 1.178 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 1.178 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.178 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.178 * [taylor]: Taking taylor expansion of 1.0 in N 1.178 * [backup-simplify]: Simplify 1.0 into 1.0 1.178 * [backup-simplify]: Simplify (+ 1 0) into 1 1.179 * [backup-simplify]: Simplify (sqrt 0) into 0 1.179 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.180 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.180 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (/ 1 1) into 1 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [backup-simplify]: Simplify 1.0 into 1.0 1.180 * [backup-simplify]: Simplify (+ 1 0) into 1 1.181 * [backup-simplify]: Simplify (sqrt 0) into 0 1.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.181 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.188 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.190 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.194 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.204 * [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 1.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.204 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 1.205 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 1.205 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.205 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.205 * [taylor]: Taking taylor expansion of 1.0 in N 1.205 * [backup-simplify]: Simplify 1.0 into 1.0 1.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (/ 1 1) into 1 1.205 * [backup-simplify]: Simplify (- 1) into -1 1.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.206 * [backup-simplify]: Simplify (sqrt 0) into 0 1.206 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.207 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.207 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.207 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.207 * [taylor]: Taking taylor expansion of 1.0 in N 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [backup-simplify]: Simplify (- 1) into -1 1.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.208 * [backup-simplify]: Simplify (sqrt 0) into 0 1.208 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.209 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.209 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.211 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.225 * [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 1.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.225 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 1.226 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.226 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 1.226 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.226 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of 1.0 in N 1.226 * [backup-simplify]: Simplify 1.0 into 1.0 1.226 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.227 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.227 * [backup-simplify]: Simplify (+ 1 0) into 1 1.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.228 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (/ 1 1) into 1 1.228 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.228 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [taylor]: Taking taylor expansion of 1.0 in N 1.228 * [backup-simplify]: Simplify 1.0 into 1.0 1.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.229 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.229 * [backup-simplify]: Simplify (+ 1 0) into 1 1.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.231 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.231 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.234 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [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)))) 1.243 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.245 * [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)))) 1.246 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 1.246 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.246 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ 1 1) into 1 1.246 * [taylor]: Taking taylor expansion of 1.0 in N 1.246 * [backup-simplify]: Simplify 1.0 into 1.0 1.246 * [backup-simplify]: Simplify (+ 1 0) into 1 1.247 * [backup-simplify]: Simplify (sqrt 0) into 0 1.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.247 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.247 * [taylor]: Taking taylor expansion of N in N 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [backup-simplify]: Simplify 1.0 into 1.0 1.248 * [backup-simplify]: Simplify (+ 1 0) into 1 1.248 * [backup-simplify]: Simplify (sqrt 0) into 0 1.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.249 * [backup-simplify]: Simplify (* 0 0) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.252 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.254 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.254 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.258 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.258 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.264 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.264 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.265 * [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 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.265 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 1.265 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.265 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.265 * [taylor]: Taking taylor expansion of -1 in N 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.266 * [taylor]: Taking taylor expansion of 1.0 in N 1.266 * [backup-simplify]: Simplify 1.0 into 1.0 1.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [backup-simplify]: Simplify (- 1) into -1 1.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.267 * [backup-simplify]: Simplify (sqrt 0) into 0 1.267 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.267 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.267 * [taylor]: Taking taylor expansion of -1 in N 1.267 * [backup-simplify]: Simplify -1 into -1 1.267 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.267 * [taylor]: Taking taylor expansion of 1.0 in N 1.268 * [backup-simplify]: Simplify 1.0 into 1.0 1.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.268 * [taylor]: Taking taylor expansion of N in N 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (/ 1 1) into 1 1.268 * [backup-simplify]: Simplify (- 1) into -1 1.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.268 * [backup-simplify]: Simplify (sqrt 0) into 0 1.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.269 * [backup-simplify]: Simplify (* 0 0) into 0 1.270 * [backup-simplify]: Simplify (* -1 0) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.270 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (- 0) into 0 1.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.279 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.280 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.281 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.287 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.288 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.288 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (- 0) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.294 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.296 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.297 * [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 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.297 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.297 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) N)) into (log (* (/ 1 N) (sqrt (+ N 1.0)))) 1.297 * [approximate]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in (N) around 0 1.297 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.297 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (/ 1 1) into 1 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of 1.0 in N 1.298 * [backup-simplify]: Simplify 1.0 into 1.0 1.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.298 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.299 * [backup-simplify]: Simplify (+ 1 0) into 1 1.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.300 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.300 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.300 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (/ 1 1) into 1 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [taylor]: Taking taylor expansion of 1.0 in N 1.301 * [backup-simplify]: Simplify 1.0 into 1.0 1.301 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.301 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.302 * [backup-simplify]: Simplify (+ 1 0) into 1 1.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.303 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.304 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.305 * [backup-simplify]: Simplify (- (log (sqrt 1.0)) (log N)) into (- (log (sqrt 1.0)) (log N)) 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.313 * [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)) 1.314 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [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)))) 1.338 * [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)) 1.339 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.342 * [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 (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (+ (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 1.342 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))) into (log (* N (sqrt (+ (/ 1 N) 1.0)))) 1.342 * [approximate]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 1.342 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.342 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.342 * [taylor]: Taking taylor expansion of N in N 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.342 * [taylor]: Taking taylor expansion of N in N 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (/ 1 1) into 1 1.342 * [taylor]: Taking taylor expansion of 1.0 in N 1.342 * [backup-simplify]: Simplify 1.0 into 1.0 1.342 * [backup-simplify]: Simplify (+ 1 0) into 1 1.343 * [backup-simplify]: Simplify (sqrt 0) into 0 1.344 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.344 * [backup-simplify]: Simplify (* 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.346 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.348 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.348 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.348 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.349 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [taylor]: Taking taylor expansion of 1.0 in N 1.349 * [backup-simplify]: Simplify 1.0 into 1.0 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.349 * [backup-simplify]: Simplify (sqrt 0) into 0 1.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.350 * [backup-simplify]: Simplify (* 0 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.353 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.354 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.355 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.356 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.356 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log N)) into (+ (log (- +nan.0)) (log N)) 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.368 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.378 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.387 * [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 1.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.388 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (+ (log (- +nan.0)) (log (/ 1 N))))) into (- (+ (log (- +nan.0)) (log (/ 1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.388 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))) into (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 1.388 * [approximate]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in (N) around 0 1.388 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.388 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.389 * [taylor]: Taking taylor expansion of -1 in N 1.389 * [backup-simplify]: Simplify -1 into -1 1.389 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.389 * [taylor]: Taking taylor expansion of 1.0 in N 1.389 * [backup-simplify]: Simplify 1.0 into 1.0 1.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [backup-simplify]: Simplify (- 1) into -1 1.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.390 * [backup-simplify]: Simplify (sqrt 0) into 0 1.391 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.391 * [backup-simplify]: Simplify (* 0 0) into 0 1.391 * [backup-simplify]: Simplify (* -1 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.392 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.395 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.396 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.397 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.398 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.398 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.398 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.398 * [taylor]: Taking taylor expansion of -1 in N 1.398 * [backup-simplify]: Simplify -1 into -1 1.398 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.398 * [taylor]: Taking taylor expansion of N in N 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.398 * [taylor]: Taking taylor expansion of 1.0 in N 1.398 * [backup-simplify]: Simplify 1.0 into 1.0 1.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.398 * [taylor]: Taking taylor expansion of N in N 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (- 1) into -1 1.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.399 * [backup-simplify]: Simplify (sqrt 0) into 0 1.400 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.400 * [backup-simplify]: Simplify (* 0 0) into 0 1.400 * [backup-simplify]: Simplify (* -1 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.401 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.403 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.405 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.406 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.406 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.407 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.408 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log N)) into (+ (log (- +nan.0)) (log N)) 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.413 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.414 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.418 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.424 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.425 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.434 * [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 1.435 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.435 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (+ (log (- +nan.0)) (log (/ 1 (- N)))))) into (- (+ (log (- +nan.0)) (log (/ -1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.435 * * * [progress]: simplifying candidates 1.438 * [simplify]: Simplifying: (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (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))) (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (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)))) (expm1 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (- (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))) (expm1 (log (/ (sqrt (+ N 1.0)) N))) (log1p (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (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))) 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h2 (/ 1 h0))))) (- (+ (log (- h2)) (log (/ -1 h0))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) 1.445 * * [simplify]: iteration 0 : 528 enodes (cost 1419 ) 1.453 * * [simplify]: iteration 1 : 1596 enodes (cost 1318 ) 1.477 * * [simplify]: iteration 2 : 5002 enodes (cost 1212 ) 1.483 * * * [progress]: adding candidates to table 1.862 * * [progress]: iteration 4 / 4 1.862 * * * [progress]: picking best candidate 1.866 * * * * [pick]: Picked # 1.866 * * * [progress]: localizing error 1.880 * * * [progress]: generating rewritten candidates 1.880 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.907 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.931 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.956 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.971 * * * [progress]: generating series expansions 1.971 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.972 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 1.972 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 1.972 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.972 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.972 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.972 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.972 * [taylor]: Taking taylor expansion of N in N 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of 1.0 in N 1.972 * [backup-simplify]: Simplify 1.0 into 1.0 1.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.973 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.973 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.975 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.975 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.975 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.975 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.975 * [taylor]: Taking taylor expansion of N in N 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.975 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.975 * [taylor]: Taking taylor expansion of N in N 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of 1.0 in N 1.975 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.975 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.976 * [backup-simplify]: Simplify (+ 1 0) into 1 1.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.977 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.978 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.978 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.978 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.978 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [taylor]: Taking taylor expansion of 1.0 in N 1.978 * [backup-simplify]: Simplify 1.0 into 1.0 1.978 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.978 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.980 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.980 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.980 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.980 * [taylor]: Taking taylor expansion of N in N 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.980 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.980 * [taylor]: Taking taylor expansion of N in N 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of 1.0 in N 1.980 * [backup-simplify]: Simplify 1.0 into 1.0 1.981 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.981 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.981 * [backup-simplify]: Simplify (+ 1 0) into 1 1.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.983 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.983 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.984 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.985 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.986 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.992 * [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)) 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 2.001 * [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)) 2.003 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 2.004 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.020 * [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)) 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [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)))) 2.051 * [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)) 2.053 * [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)))) 2.055 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 2.059 * [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 (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 2.060 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 2.060 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 2.060 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.060 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.060 * [taylor]: Taking taylor expansion of N in N 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [taylor]: Taking taylor expansion of 1.0 in N 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.060 * [backup-simplify]: Simplify (sqrt 0) into 0 2.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.062 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.062 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.062 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [taylor]: Taking taylor expansion of 1.0 in N 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.062 * [backup-simplify]: Simplify (+ 1 0) into 1 2.062 * [backup-simplify]: Simplify (sqrt 0) into 0 2.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.063 * [backup-simplify]: Simplify (* 0 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.066 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.068 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.068 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.068 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.068 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.068 * [taylor]: Taking taylor expansion of N in N 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [taylor]: Taking taylor expansion of 1.0 in N 2.069 * [backup-simplify]: Simplify 1.0 into 1.0 2.069 * [backup-simplify]: Simplify (+ 1 0) into 1 2.069 * [backup-simplify]: Simplify (sqrt 0) into 0 2.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.070 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.070 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.070 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.070 * [taylor]: Taking taylor expansion of N in N 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.070 * [taylor]: Taking taylor expansion of N in N 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [taylor]: Taking taylor expansion of 1.0 in N 2.070 * [backup-simplify]: Simplify 1.0 into 1.0 2.071 * [backup-simplify]: Simplify (+ 1 0) into 1 2.071 * [backup-simplify]: Simplify (sqrt 0) into 0 2.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.072 * [backup-simplify]: Simplify (* 0 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.075 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.076 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.077 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.077 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.078 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.079 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.081 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.090 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.095 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.095 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.106 * [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 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.111 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.126 * [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 2.126 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.127 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.128 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.128 * [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))))))) 2.128 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 2.128 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.128 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.128 * [taylor]: Taking taylor expansion of 1.0 in N 2.128 * [backup-simplify]: Simplify 1.0 into 1.0 2.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.128 * [taylor]: Taking taylor expansion of N in N 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (/ 1 1) into 1 2.129 * [backup-simplify]: Simplify (- 1) into -1 2.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.129 * [backup-simplify]: Simplify (sqrt 0) into 0 2.130 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.130 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.130 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.130 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.130 * [taylor]: Taking taylor expansion of -1 in N 2.130 * [backup-simplify]: Simplify -1 into -1 2.130 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.130 * [taylor]: Taking taylor expansion of 1.0 in N 2.130 * [backup-simplify]: Simplify 1.0 into 1.0 2.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [backup-simplify]: Simplify (- 1) into -1 2.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.131 * [backup-simplify]: Simplify (sqrt 0) into 0 2.132 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.132 * [backup-simplify]: Simplify (* 0 0) into 0 2.133 * [backup-simplify]: Simplify (* -1 0) into 0 2.133 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.133 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.136 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.137 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.139 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.139 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.139 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.139 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.139 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.139 * [taylor]: Taking taylor expansion of 1.0 in N 2.139 * [backup-simplify]: Simplify 1.0 into 1.0 2.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.139 * [taylor]: Taking taylor expansion of N in N 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [backup-simplify]: Simplify (- 1) into -1 2.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.140 * [backup-simplify]: Simplify (sqrt 0) into 0 2.141 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.141 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.141 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.141 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.141 * [taylor]: Taking taylor expansion of -1 in N 2.141 * [backup-simplify]: Simplify -1 into -1 2.141 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.141 * [taylor]: Taking taylor expansion of N in N 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.141 * [taylor]: Taking taylor expansion of 1.0 in N 2.141 * [backup-simplify]: Simplify 1.0 into 1.0 2.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.141 * [taylor]: Taking taylor expansion of N in N 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (- 1) into -1 2.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.143 * [backup-simplify]: Simplify (sqrt 0) into 0 2.143 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.143 * [backup-simplify]: Simplify (* 0 0) into 0 2.144 * [backup-simplify]: Simplify (* -1 0) into 0 2.144 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.145 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.147 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.149 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.150 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.151 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.152 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.152 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.153 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.154 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.156 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.164 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.165 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 2.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.170 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.170 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (- 0) into 0 2.171 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.181 * [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 2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.186 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.188 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 2.197 * [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 2.198 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.198 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.199 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.199 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.200 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 2.200 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 2.200 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 2.200 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.200 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.200 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.200 * [taylor]: Taking taylor expansion of N in N 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [taylor]: Taking taylor expansion of 1.0 in N 2.200 * [backup-simplify]: Simplify 1.0 into 1.0 2.200 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.200 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.201 * [backup-simplify]: Simplify (+ 1 0) into 1 2.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.202 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.202 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 2.202 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 2.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.202 * [taylor]: Taking taylor expansion of N in N 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.202 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.202 * [taylor]: Taking taylor expansion of N in N 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of 1.0 in N 2.202 * [backup-simplify]: Simplify 1.0 into 1.0 2.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.203 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.203 * [backup-simplify]: Simplify (+ 1 0) into 1 2.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.205 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 2.205 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.205 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 2.205 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.205 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.205 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [taylor]: Taking taylor expansion of 1.0 in N 2.205 * [backup-simplify]: Simplify 1.0 into 1.0 2.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.206 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.206 * [backup-simplify]: Simplify (+ 1 0) into 1 2.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.207 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.207 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 2.207 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 2.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.207 * [taylor]: Taking taylor expansion of N in N 2.207 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.208 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.208 * [taylor]: Taking taylor expansion of N in N 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of 1.0 in N 2.208 * [backup-simplify]: Simplify 1.0 into 1.0 2.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.208 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.209 * [backup-simplify]: Simplify (+ 1 0) into 1 2.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.217 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 2.217 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 2.219 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 2.220 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 2.226 * [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)) 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 2.234 * [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)) 2.237 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 2.238 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.241 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.255 * [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)) 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.262 * [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)))) 2.279 * [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)) 2.281 * [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)))) 2.283 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 2.287 * [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 (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 2.288 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 2.288 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 2.288 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.288 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.288 * [taylor]: Taking taylor expansion of N in N 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (/ 1 1) into 1 2.288 * [taylor]: Taking taylor expansion of 1.0 in N 2.288 * [backup-simplify]: Simplify 1.0 into 1.0 2.288 * [backup-simplify]: Simplify (+ 1 0) into 1 2.289 * [backup-simplify]: Simplify (sqrt 0) into 0 2.289 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.290 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.290 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.290 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.290 * [taylor]: Taking taylor expansion of N in N 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.290 * [taylor]: Taking taylor expansion of N in N 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [taylor]: Taking taylor expansion of 1.0 in N 2.290 * [backup-simplify]: Simplify 1.0 into 1.0 2.290 * [backup-simplify]: Simplify (+ 1 0) into 1 2.291 * [backup-simplify]: Simplify (sqrt 0) into 0 2.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.292 * [backup-simplify]: Simplify (* 0 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.294 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.296 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.297 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.297 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.297 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [taylor]: Taking taylor expansion of 1.0 in N 2.297 * [backup-simplify]: Simplify 1.0 into 1.0 2.297 * [backup-simplify]: Simplify (+ 1 0) into 1 2.297 * [backup-simplify]: Simplify (sqrt 0) into 0 2.305 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.305 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.305 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.305 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.305 * [taylor]: Taking taylor expansion of N in N 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.305 * [taylor]: Taking taylor expansion of N in N 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (/ 1 1) into 1 2.306 * [taylor]: Taking taylor expansion of 1.0 in N 2.306 * [backup-simplify]: Simplify 1.0 into 1.0 2.306 * [backup-simplify]: Simplify (+ 1 0) into 1 2.306 * [backup-simplify]: Simplify (sqrt 0) into 0 2.307 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.307 * [backup-simplify]: Simplify (* 0 0) into 0 2.308 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.310 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.312 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.312 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.313 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.314 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.315 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.317 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.326 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.330 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.341 * [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 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.346 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.355 * [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 2.356 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.356 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.357 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.357 * [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))))))) 2.357 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 2.357 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.358 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.358 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.358 * [taylor]: Taking taylor expansion of 1.0 in N 2.358 * [backup-simplify]: Simplify 1.0 into 1.0 2.358 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.358 * [taylor]: Taking taylor expansion of N in N 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ 1 1) into 1 2.358 * [backup-simplify]: Simplify (- 1) into -1 2.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.359 * [backup-simplify]: Simplify (sqrt 0) into 0 2.359 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.360 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.360 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.360 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.360 * [taylor]: Taking taylor expansion of -1 in N 2.360 * [backup-simplify]: Simplify -1 into -1 2.360 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.360 * [taylor]: Taking taylor expansion of N in N 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.360 * [taylor]: Taking taylor expansion of 1.0 in N 2.360 * [backup-simplify]: Simplify 1.0 into 1.0 2.360 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.360 * [taylor]: Taking taylor expansion of N in N 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [backup-simplify]: Simplify (- 1) into -1 2.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.361 * [backup-simplify]: Simplify (sqrt 0) into 0 2.362 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.362 * [backup-simplify]: Simplify (* 0 0) into 0 2.362 * [backup-simplify]: Simplify (* -1 0) into 0 2.362 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.363 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.365 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.367 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.368 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.369 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.369 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.369 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.369 * [taylor]: Taking taylor expansion of 1.0 in N 2.369 * [backup-simplify]: Simplify 1.0 into 1.0 2.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.369 * [taylor]: Taking taylor expansion of N in N 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [backup-simplify]: Simplify (- 1) into -1 2.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.370 * [backup-simplify]: Simplify (sqrt 0) into 0 2.370 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.371 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.371 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.371 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.371 * [taylor]: Taking taylor expansion of -1 in N 2.371 * [backup-simplify]: Simplify -1 into -1 2.371 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.371 * [taylor]: Taking taylor expansion of N in N 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.371 * [taylor]: Taking taylor expansion of 1.0 in N 2.371 * [backup-simplify]: Simplify 1.0 into 1.0 2.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.371 * [taylor]: Taking taylor expansion of N in N 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (/ 1 1) into 1 2.371 * [backup-simplify]: Simplify (- 1) into -1 2.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.372 * [backup-simplify]: Simplify (sqrt 0) into 0 2.373 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.373 * [backup-simplify]: Simplify (* 0 0) into 0 2.373 * [backup-simplify]: Simplify (* -1 0) into 0 2.373 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.374 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.376 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.378 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.379 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.380 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.380 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.381 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.382 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (- 0) into 0 2.383 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.384 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.389 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.399 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.401 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 2.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.406 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (- 0) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.416 * [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 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- 0) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.420 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.422 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.424 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 2.432 * [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 2.433 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.433 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.434 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.435 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.435 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 2.435 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 2.435 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 2.435 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.435 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.435 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.435 * [taylor]: Taking taylor expansion of N in N 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [taylor]: Taking taylor expansion of 1.0 in N 2.435 * [backup-simplify]: Simplify 1.0 into 1.0 2.435 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.435 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.436 * [backup-simplify]: Simplify (+ 1 0) into 1 2.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.437 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.437 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 2.437 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 2.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.437 * [taylor]: Taking taylor expansion of N in N 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (/ 1 1) into 1 2.437 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.437 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.437 * [taylor]: Taking taylor expansion of N in N 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of 1.0 in N 2.438 * [backup-simplify]: Simplify 1.0 into 1.0 2.438 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.438 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.438 * [backup-simplify]: Simplify (+ 1 0) into 1 2.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.440 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 2.440 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.440 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 2.440 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.440 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.440 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.440 * [taylor]: Taking taylor expansion of N in N 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [taylor]: Taking taylor expansion of 1.0 in N 2.440 * [backup-simplify]: Simplify 1.0 into 1.0 2.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.441 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.441 * [backup-simplify]: Simplify (+ 1 0) into 1 2.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.442 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.442 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 2.442 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 2.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.443 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.443 * [taylor]: Taking taylor expansion of N in N 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [taylor]: Taking taylor expansion of 1.0 in N 2.443 * [backup-simplify]: Simplify 1.0 into 1.0 2.443 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.443 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.444 * [backup-simplify]: Simplify (+ 1 0) into 1 2.444 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.445 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 2.445 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.446 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 2.447 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 2.448 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 2.454 * [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)) 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 2.462 * [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)) 2.465 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 2.466 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.489 * [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)) 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.495 * [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)))) 2.513 * [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)) 2.515 * [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)))) 2.517 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 2.521 * [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 (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 2.521 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 2.521 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 2.521 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.521 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.521 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.521 * [taylor]: Taking taylor expansion of N in N 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify (/ 1 1) into 1 2.522 * [taylor]: Taking taylor expansion of 1.0 in N 2.522 * [backup-simplify]: Simplify 1.0 into 1.0 2.522 * [backup-simplify]: Simplify (+ 1 0) into 1 2.522 * [backup-simplify]: Simplify (sqrt 0) into 0 2.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.523 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.523 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.523 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.523 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (/ 1 1) into 1 2.524 * [taylor]: Taking taylor expansion of 1.0 in N 2.524 * [backup-simplify]: Simplify 1.0 into 1.0 2.524 * [backup-simplify]: Simplify (+ 1 0) into 1 2.524 * [backup-simplify]: Simplify (sqrt 0) into 0 2.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.525 * [backup-simplify]: Simplify (* 0 0) into 0 2.525 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.528 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.529 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.530 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.530 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.530 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.530 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.530 * [taylor]: Taking taylor expansion of N in N 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [taylor]: Taking taylor expansion of 1.0 in N 2.530 * [backup-simplify]: Simplify 1.0 into 1.0 2.530 * [backup-simplify]: Simplify (+ 1 0) into 1 2.531 * [backup-simplify]: Simplify (sqrt 0) into 0 2.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.532 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.532 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.532 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.532 * [taylor]: Taking taylor expansion of N in N 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.532 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.532 * [taylor]: Taking taylor expansion of N in N 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (/ 1 1) into 1 2.532 * [taylor]: Taking taylor expansion of 1.0 in N 2.532 * [backup-simplify]: Simplify 1.0 into 1.0 2.532 * [backup-simplify]: Simplify (+ 1 0) into 1 2.533 * [backup-simplify]: Simplify (sqrt 0) into 0 2.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.534 * [backup-simplify]: Simplify (* 0 0) into 0 2.534 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.537 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.538 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.539 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.539 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.540 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.541 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.543 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.552 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.557 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.557 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify (+ 0 0) into 0 2.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.574 * [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 2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.577 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.579 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.588 * [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 2.589 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.589 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.590 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.590 * [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))))))) 2.591 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 2.591 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.591 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.591 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.591 * [taylor]: Taking taylor expansion of 1.0 in N 2.591 * [backup-simplify]: Simplify 1.0 into 1.0 2.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.591 * [taylor]: Taking taylor expansion of N in N 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (/ 1 1) into 1 2.591 * [backup-simplify]: Simplify (- 1) into -1 2.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.592 * [backup-simplify]: Simplify (sqrt 0) into 0 2.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.593 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.593 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.593 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.593 * [taylor]: Taking taylor expansion of -1 in N 2.593 * [backup-simplify]: Simplify -1 into -1 2.593 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.593 * [taylor]: Taking taylor expansion of N in N 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.593 * [taylor]: Taking taylor expansion of 1.0 in N 2.593 * [backup-simplify]: Simplify 1.0 into 1.0 2.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.593 * [taylor]: Taking taylor expansion of N in N 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (/ 1 1) into 1 2.593 * [backup-simplify]: Simplify (- 1) into -1 2.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.594 * [backup-simplify]: Simplify (sqrt 0) into 0 2.594 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.595 * [backup-simplify]: Simplify (* 0 0) into 0 2.595 * [backup-simplify]: Simplify (* -1 0) into 0 2.595 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.596 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (- 0) into 0 2.597 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.599 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.600 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.601 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.602 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.602 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.602 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.602 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.602 * [taylor]: Taking taylor expansion of 1.0 in N 2.602 * [backup-simplify]: Simplify 1.0 into 1.0 2.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.602 * [taylor]: Taking taylor expansion of N in N 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [backup-simplify]: Simplify (- 1) into -1 2.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.603 * [backup-simplify]: Simplify (sqrt 0) into 0 2.604 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.604 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.604 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.604 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.604 * [taylor]: Taking taylor expansion of -1 in N 2.604 * [backup-simplify]: Simplify -1 into -1 2.604 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.604 * [taylor]: Taking taylor expansion of N in N 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.604 * [taylor]: Taking taylor expansion of 1.0 in N 2.604 * [backup-simplify]: Simplify 1.0 into 1.0 2.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.604 * [taylor]: Taking taylor expansion of N in N 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [backup-simplify]: Simplify (- 1) into -1 2.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.605 * [backup-simplify]: Simplify (sqrt 0) into 0 2.606 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.606 * [backup-simplify]: Simplify (* 0 0) into 0 2.606 * [backup-simplify]: Simplify (* -1 0) into 0 2.607 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.607 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (- 0) into 0 2.608 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.610 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.611 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.612 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.613 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.613 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.614 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.615 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (- 0) into 0 2.616 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.617 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (- 0) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.626 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.628 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 2.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.632 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.633 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (- 0) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.643 * [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 2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.644 * [backup-simplify]: Simplify (- 0) into 0 2.644 * [backup-simplify]: Simplify (+ 0 0) into 0 2.647 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.649 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.651 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 2.667 * [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 2.667 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.667 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.669 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.669 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.669 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 2.669 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.669 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.669 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.669 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.669 * [taylor]: Taking taylor expansion of N in N 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [taylor]: Taking taylor expansion of 1.0 in N 2.669 * [backup-simplify]: Simplify 1.0 into 1.0 2.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.670 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.670 * [backup-simplify]: Simplify (+ 1 0) into 1 2.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.671 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.671 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.671 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.671 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.671 * [taylor]: Taking taylor expansion of N in N 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [taylor]: Taking taylor expansion of 1.0 in N 2.671 * [backup-simplify]: Simplify 1.0 into 1.0 2.672 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.672 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.672 * [backup-simplify]: Simplify (+ 1 0) into 1 2.673 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.674 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.674 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.680 * [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)) 2.681 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.698 * [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)) 2.699 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.702 * [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 (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 2.702 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 2.702 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.702 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.702 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.702 * [taylor]: Taking taylor expansion of N in N 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (/ 1 1) into 1 2.702 * [taylor]: Taking taylor expansion of 1.0 in N 2.702 * [backup-simplify]: Simplify 1.0 into 1.0 2.702 * [backup-simplify]: Simplify (+ 1 0) into 1 2.703 * [backup-simplify]: Simplify (sqrt 0) into 0 2.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.704 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.704 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.704 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.704 * [taylor]: Taking taylor expansion of N in N 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [taylor]: Taking taylor expansion of 1.0 in N 2.704 * [backup-simplify]: Simplify 1.0 into 1.0 2.704 * [backup-simplify]: Simplify (+ 1 0) into 1 2.705 * [backup-simplify]: Simplify (sqrt 0) into 0 2.705 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.706 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.706 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.708 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.722 * [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 2.722 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.723 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.723 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 2.723 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.723 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.723 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.723 * [taylor]: Taking taylor expansion of 1.0 in N 2.723 * [backup-simplify]: Simplify 1.0 into 1.0 2.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.723 * [taylor]: Taking taylor expansion of N in N 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [backup-simplify]: Simplify (- 1) into -1 2.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.724 * [backup-simplify]: Simplify (sqrt 0) into 0 2.725 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.725 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.725 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.725 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.725 * [taylor]: Taking taylor expansion of 1.0 in N 2.725 * [backup-simplify]: Simplify 1.0 into 1.0 2.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.725 * [taylor]: Taking taylor expansion of N in N 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (/ 1 1) into 1 2.725 * [backup-simplify]: Simplify (- 1) into -1 2.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.726 * [backup-simplify]: Simplify (sqrt 0) into 0 2.727 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.727 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.727 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (- 0) into 0 2.728 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.730 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (- 0) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.744 * [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 2.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.744 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.744 * * * [progress]: simplifying candidates 2.754 * [simplify]: Simplifying: (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (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 (+ 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(/ (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))) (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (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)) 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1.0)) N))) (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (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 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(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 (* 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[progress]: [Phase 3 of 3] Extracting. 3.495 * * [regime]: Finding splitpoints for: (# # #) 3.496 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.496 * * * * [regimes]: Trying to branch on N from (# # #) 3.519 * * * [regime]: Found split indices: #