8.126 * [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. 0.047 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: Extracting # 3 : cost 0 0.047 * * [simplify]: Extracting # 4 : cost 0 0.047 * * [simplify]: Extracting # 5 : cost 0 0.047 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.048 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.051 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.082 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.082 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [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 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 0.084 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.084 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [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)) 0.093 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.094 * [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)))) 0.094 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.094 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [backup-simplify]: Simplify 1.0 into 1.0 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (log 1) into 0 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [backup-simplify]: Simplify 1.0 into 1.0 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (log 1) into 0 0.096 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.096 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [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 0.107 * [backup-simplify]: Simplify -0.5 into -0.5 0.107 * [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)))) 0.107 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.107 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (log -1) into (log -1) 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (- 1) into -1 0.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.109 * [backup-simplify]: Simplify (log -1) into (log -1) 0.110 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.110 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.119 * [backup-simplify]: Simplify -1.0 into -1.0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [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 0.126 * [backup-simplify]: Simplify -0.5 into -0.5 0.127 * [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)))) 0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.127 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.127 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.127 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.127 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.127 * [taylor]: Taking taylor expansion of (log N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (log 1) into 0 0.128 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.128 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.128 * [taylor]: Taking taylor expansion of (log N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (log 1) into 0 0.129 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.129 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.129 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.129 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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)) 0.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.143 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.145 * [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))) 0.145 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.145 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.149 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [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 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.163 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [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 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [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 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.176 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.177 * [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)))) 0.177 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.177 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (- 1) into -1 0.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ -1 1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.179 * [backup-simplify]: Simplify (log -1) into (log -1) 0.179 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.179 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ -1 1) into -1 0.180 * [backup-simplify]: Simplify (log -1) into (log -1) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.181 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.182 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.188 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [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 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.203 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [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 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.217 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.218 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.218 * * * [progress]: simplifying candidates 0.219 * [simplify]: Simplifying: (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))) (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)) (- (+ (* 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)))) (- (+ (* 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)))) 0.221 * * [simplify]: Extracting # 0 : cost 0 0.221 * * [simplify]: Extracting # 1 : cost 0 0.221 * * [simplify]: Extracting # 2 : cost 0 0.221 * * [simplify]: Extracting # 3 : cost 0 0.221 * * [simplify]: Extracting # 4 : cost 0 0.221 * * [simplify]: Extracting # 5 : cost 0 0.221 * * [simplify]: Extracting # 6 : cost 0 0.222 * * [simplify]: Extracting # 7 : cost 0 0.222 * * [simplify]: Extracting # 8 : cost 0 0.222 * * [simplify]: Extracting # 9 : cost 0 0.222 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.248 * * [simplify]: Extracting # 0 : cost 0 0.248 * * [simplify]: Extracting # 1 : cost 0 0.249 * * [simplify]: Extracting # 2 : cost 0 0.249 * * [simplify]: Extracting # 3 : cost 0 0.249 * * [simplify]: Extracting # 4 : cost 0 0.249 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.351 * * [simplify]: Extracting # 0 : cost 0 0.352 * * [simplify]: Extracting # 1 : cost 0 0.352 * * [simplify]: Extracting # 2 : cost 0 0.353 * * [simplify]: Extracting # 3 : cost 0 0.354 * * [simplify]: Extracting # 4 : cost 0 0.354 * * [simplify]: iteration 2 : 668 enodes (cost 705 ) 0.668 * * [simplify]: Extracting # 0 : cost 0 0.670 * * [simplify]: Extracting # 1 : cost 0 0.672 * * [simplify]: Extracting # 2 : cost 0 0.674 * * [simplify]: Extracting # 3 : cost 0 0.676 * * [simplify]: iteration 3 : 2055 enodes (cost 614 ) 2.790 * * [simplify]: Extracting # 0 : cost 0 2.797 * * [simplify]: Extracting # 1 : cost 0 2.806 * * [simplify]: Extracting # 2 : cost 0 2.810 * * [simplify]: Extracting # 3 : cost 0 2.814 * * [simplify]: Extracting # 4 : cost 0 2.819 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 2.819 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (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)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) 2.820 * * * [progress]: adding candidates to table 2.938 * * [progress]: iteration 2 / 4 2.938 * * * [progress]: picking best candidate 2.946 * * * * [pick]: Picked # 2.946 * * * [progress]: localizing error 2.951 * * * [progress]: generating rewritten candidates 2.951 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.957 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.982 * * * [progress]: generating series expansions 2.982 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.982 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.982 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.982 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.982 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.982 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.982 * [taylor]: Taking taylor expansion of N in N 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [taylor]: Taking taylor expansion of 1.0 in N 2.982 * [backup-simplify]: Simplify 1.0 into 1.0 2.982 * [taylor]: Taking taylor expansion of N in N 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.983 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.983 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.983 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.984 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.984 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.984 * [taylor]: Taking taylor expansion of N in N 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [taylor]: Taking taylor expansion of 1.0 in N 2.984 * [backup-simplify]: Simplify 1.0 into 1.0 2.984 * [taylor]: Taking taylor expansion of N in N 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.984 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.984 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.985 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.986 * [backup-simplify]: Simplify (+ 1 0) into 1 2.986 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.989 * [backup-simplify]: Simplify 1.0 into 1.0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.996 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.997 * [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))) 2.997 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.997 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.997 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.997 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.997 * [taylor]: Taking taylor expansion of N in N 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.997 * [taylor]: Taking taylor expansion of N in N 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [taylor]: Taking taylor expansion of 1.0 in N 2.997 * [backup-simplify]: Simplify 1.0 into 1.0 2.997 * [backup-simplify]: Simplify (+ 1 0) into 1 2.998 * [backup-simplify]: Simplify (* 0 1) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.999 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.999 * [backup-simplify]: Simplify (log 1) into 0 2.999 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.999 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of 1.0 in N 2.999 * [backup-simplify]: Simplify 1.0 into 1.0 3.000 * [backup-simplify]: Simplify (+ 1 0) into 1 3.000 * [backup-simplify]: Simplify (* 0 1) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.001 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.001 * [backup-simplify]: Simplify (log 1) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ 0 0) into 0 3.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.014 * [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 3.014 * [backup-simplify]: Simplify -0.5 into -0.5 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.024 * [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 3.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.025 * [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)))) 3.025 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.025 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.025 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.025 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.025 * [taylor]: Taking taylor expansion of -1 in N 3.025 * [backup-simplify]: Simplify -1 into -1 3.025 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.025 * [taylor]: Taking taylor expansion of 1.0 in N 3.025 * [backup-simplify]: Simplify 1.0 into 1.0 3.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.026 * [backup-simplify]: Simplify (- 1) into -1 3.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.026 * [backup-simplify]: Simplify (* 0 -1) into 0 3.026 * [backup-simplify]: Simplify (* -1 0) into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (- 0) into 0 3.027 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.028 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.028 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.028 * [backup-simplify]: Simplify (log 1) into 0 3.028 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.028 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.028 * [taylor]: Taking taylor expansion of -1 in N 3.028 * [backup-simplify]: Simplify -1 into -1 3.028 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.028 * [taylor]: Taking taylor expansion of N in N 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.028 * [taylor]: Taking taylor expansion of 1.0 in N 3.028 * [backup-simplify]: Simplify 1.0 into 1.0 3.028 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.028 * [taylor]: Taking taylor expansion of N in N 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [backup-simplify]: Simplify (- 1) into -1 3.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.029 * [backup-simplify]: Simplify (* 0 -1) into 0 3.030 * [backup-simplify]: Simplify (* -1 0) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.031 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.031 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.031 * [backup-simplify]: Simplify (log 1) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- 0) into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.035 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.039 * [backup-simplify]: Simplify -1.0 into -1.0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- 0) into 0 3.040 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.048 * [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 3.048 * [backup-simplify]: Simplify -0.5 into -0.5 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (- 0) into 0 3.049 * [backup-simplify]: Simplify (+ 0 0) into 0 3.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.063 * [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 3.063 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.064 * [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)))) 3.064 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.064 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.064 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.064 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.064 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.064 * [taylor]: Taking taylor expansion of N in N 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [taylor]: Taking taylor expansion of 1.0 in N 3.064 * [backup-simplify]: Simplify 1.0 into 1.0 3.064 * [taylor]: Taking taylor expansion of N in N 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.065 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.065 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of 1.0 in N 3.065 * [backup-simplify]: Simplify 1.0 into 1.0 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.065 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.065 * [backup-simplify]: Simplify 1.0 into 1.0 3.066 * [backup-simplify]: Simplify (+ 1 0) into 1 3.066 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [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 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [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 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.071 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.071 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.071 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.071 * [taylor]: Taking taylor expansion of N in N 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.072 * [taylor]: Taking taylor expansion of N in N 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [taylor]: Taking taylor expansion of 1.0 in N 3.072 * [backup-simplify]: Simplify 1.0 into 1.0 3.072 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.072 * [taylor]: Taking taylor expansion of N in N 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.072 * [taylor]: Taking taylor expansion of N in N 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [taylor]: Taking taylor expansion of 1.0 in N 3.072 * [backup-simplify]: Simplify 1.0 into 1.0 3.073 * [backup-simplify]: Simplify (+ 1 0) into 1 3.073 * [backup-simplify]: Simplify (* 0 1) into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.074 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.076 * [backup-simplify]: Simplify 1.0 into 1.0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (+ 0 0) into 0 3.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.080 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [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 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [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 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.086 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.086 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.086 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.086 * [taylor]: Taking taylor expansion of -1 in N 3.086 * [backup-simplify]: Simplify -1 into -1 3.086 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.086 * [taylor]: Taking taylor expansion of N in N 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.086 * [taylor]: Taking taylor expansion of 1.0 in N 3.086 * [backup-simplify]: Simplify 1.0 into 1.0 3.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.086 * [taylor]: Taking taylor expansion of N in N 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (/ 1 1) into 1 3.086 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.086 * [taylor]: Taking taylor expansion of -1 in N 3.086 * [backup-simplify]: Simplify -1 into -1 3.086 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.086 * [taylor]: Taking taylor expansion of N in N 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.086 * [taylor]: Taking taylor expansion of 1.0 in N 3.086 * [backup-simplify]: Simplify 1.0 into 1.0 3.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.086 * [taylor]: Taking taylor expansion of N in N 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.087 * [backup-simplify]: Simplify (- 1) into -1 3.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.087 * [backup-simplify]: Simplify (* 0 -1) into 0 3.088 * [backup-simplify]: Simplify (* -1 0) into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (- 0) into 0 3.088 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.089 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.089 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.089 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (- 0) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.093 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.093 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- 0) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (- 0) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (- 0) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- 0) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [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 3.104 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify (+ 0 0) into 0 3.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.106 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [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 3.107 * [backup-simplify]: Simplify (- 0) into 0 3.107 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.110 * * * [progress]: simplifying candidates 3.111 * [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) 3.112 * * [simplify]: Extracting # 0 : cost 0 3.113 * * [simplify]: Extracting # 1 : cost 0 3.113 * * [simplify]: Extracting # 2 : cost 0 3.113 * * [simplify]: Extracting # 3 : cost 0 3.113 * * [simplify]: Extracting # 4 : cost 0 3.113 * * [simplify]: Extracting # 5 : cost 0 3.113 * * [simplify]: Extracting # 6 : cost 0 3.113 * * [simplify]: Extracting # 7 : cost 0 3.113 * * [simplify]: Extracting # 8 : cost 0 3.113 * * [simplify]: Extracting # 9 : cost 0 3.114 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 3.141 * * [simplify]: Extracting # 0 : cost 0 3.141 * * [simplify]: Extracting # 1 : cost 0 3.141 * * [simplify]: Extracting # 2 : cost 0 3.142 * * [simplify]: Extracting # 3 : cost 0 3.142 * * [simplify]: Extracting # 4 : cost 0 3.142 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 3.222 * * [simplify]: Extracting # 0 : cost 0 3.222 * * [simplify]: Extracting # 1 : cost 0 3.223 * * [simplify]: Extracting # 2 : cost 0 3.224 * * [simplify]: Extracting # 3 : cost 0 3.224 * * [simplify]: Extracting # 4 : cost 0 3.225 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 3.458 * * [simplify]: Extracting # 0 : cost 0 3.460 * * [simplify]: Extracting # 1 : cost 0 3.461 * * [simplify]: Extracting # 2 : cost 0 3.462 * * [simplify]: Extracting # 3 : cost 0 3.464 * * [simplify]: Extracting # 4 : cost 0 3.465 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 4.862 * * [simplify]: Extracting # 0 : cost 0 4.871 * * [simplify]: Extracting # 1 : cost 0 4.875 * * [simplify]: Extracting # 2 : cost 0 4.878 * * [simplify]: Extracting # 3 : cost 0 4.882 * * [simplify]: Extracting # 4 : cost 0 4.885 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 5.777 * * [simplify]: Extracting # 0 : cost 0 5.782 * * [simplify]: Extracting # 1 : cost 0 5.786 * * [simplify]: Extracting # 2 : cost 0 5.791 * * [simplify]: Extracting # 3 : cost 0 5.796 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 5.797 * [simplify]: Simplified to: (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (fma -2 (log (cbrt N)) (log (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) 0 (log1p (/ 1.0 N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log1p (/ 1.0 N)) (log (log1p (/ 1.0 N))) (+ (/ 1.0 N) 1) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log1p (/ 1.0 N)) (log1p (/ 1.0 N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (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))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ (/ 1.0 N) 1) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ (/ 1.0 N) 1) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 5.797 * * * [progress]: adding candidates to table 5.924 * * [progress]: iteration 3 / 4 5.924 * * * [progress]: picking best candidate 5.929 * * * * [pick]: Picked # 5.929 * * * [progress]: localizing error 5.936 * * * [progress]: generating rewritten candidates 5.936 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 5.937 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 5.937 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.938 * * * [progress]: generating series expansions 5.938 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 5.938 * [backup-simplify]: Simplify (expm1 (log1p (/ 1.0 N))) into (expm1 (log1p (/ 1.0 N))) 5.938 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in (N) around 0 5.938 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 5.940 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 5.940 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 5.940 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 5.940 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 5.940 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 5.940 * [taylor]: Taking taylor expansion of 1 in N 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 5.940 * [taylor]: Taking taylor expansion of 1.0 in N 5.940 * [backup-simplify]: Simplify 1.0 into 1.0 5.940 * [taylor]: Taking taylor expansion of N in N 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.941 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.941 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.941 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.942 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.943 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 5.943 * [taylor]: Taking taylor expansion of 1 in N 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 5.943 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 5.943 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 5.943 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 5.943 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 5.943 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 5.943 * [taylor]: Taking taylor expansion of 1 in N 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 5.943 * [taylor]: Taking taylor expansion of 1.0 in N 5.943 * [backup-simplify]: Simplify 1.0 into 1.0 5.943 * [taylor]: Taking taylor expansion of N in N 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.944 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.944 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.945 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.945 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 5.945 * [taylor]: Taking taylor expansion of 1 in N 5.945 * [backup-simplify]: Simplify 1 into 1 5.945 * [backup-simplify]: Simplify (- 1) into -1 5.946 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 5.946 * [backup-simplify]: Simplify (- (exp (- (log 1.0) (log N))) 1) into (- (exp (- (log 1.0) (log N))) 1) 5.947 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 5.947 * [backup-simplify]: Simplify (+ 1 0) into 1 5.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.952 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 1) 1)))) into (* 1.0 (exp (- (log 1.0) (log N)))) 5.952 * [backup-simplify]: Simplify (- 0) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1.0 (exp (- (log 1.0) (log N)))) 0) into (* 1.0 (exp (- (log 1.0) (log N)))) 5.953 * [backup-simplify]: Simplify (* 1.0 (exp (- (log 1.0) (log N)))) into (* 1.0 (exp (- (log 1.0) (log N)))) 5.954 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.960 * [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)) 5.964 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow (/ -1/2 (pow 1.0 2)) 1) 1)))) into (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 5.964 * [backup-simplify]: Simplify (- 0) into 0 5.966 * [backup-simplify]: Simplify (+ (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 0) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 5.967 * [backup-simplify]: Simplify (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 5.969 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) (pow N 2)) (+ (* (* 1.0 (exp (- (log 1.0) (log N)))) N) (- (exp (- (log 1.0) (log N))) 1))) into (- (+ (* 1.0 (* N (exp (- (log 1.0) (log N))))) (+ (* 0.5 (* (pow N 2) (exp (- (log 1.0) (log N))))) (exp (- (log 1.0) (log N))))) (+ 1 (* 1/2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (pow 1.0 2))))) 5.969 * [backup-simplify]: Simplify (expm1 (log1p (/ 1.0 (/ 1 N)))) into (expm1 (log1p (* 1.0 N))) 5.969 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in (N) around 0 5.969 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 5.969 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 5.969 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 5.969 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 5.969 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 5.969 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 5.969 * [taylor]: Taking taylor expansion of 1 in N 5.969 * [backup-simplify]: Simplify 1 into 1 5.969 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.970 * [taylor]: Taking taylor expansion of 1.0 in N 5.970 * [backup-simplify]: Simplify 1.0 into 1.0 5.970 * [taylor]: Taking taylor expansion of N in N 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.970 * [backup-simplify]: Simplify (+ 1 0) into 1 5.970 * [backup-simplify]: Simplify (log 1) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.971 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.975 * [backup-simplify]: Simplify (exp 0) into 1 5.975 * [taylor]: Taking taylor expansion of 1 in N 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 5.975 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 5.975 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 5.975 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 5.975 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 5.975 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 5.975 * [taylor]: Taking taylor expansion of 1 in N 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.975 * [taylor]: Taking taylor expansion of 1.0 in N 5.975 * [backup-simplify]: Simplify 1.0 into 1.0 5.975 * [taylor]: Taking taylor expansion of N in N 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.976 * [backup-simplify]: Simplify (+ 1 0) into 1 5.976 * [backup-simplify]: Simplify (log 1) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.977 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.980 * [backup-simplify]: Simplify (exp 0) into 1 5.980 * [taylor]: Taking taylor expansion of 1 in N 5.980 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (- 1) into -1 5.981 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 1) 1)))) into 1.0 5.983 * [backup-simplify]: Simplify (- 0) into 0 5.983 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.983 * [backup-simplify]: Simplify 1.0 into 1.0 5.984 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.994 * [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 5.998 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 5.998 * [backup-simplify]: Simplify (- 0) into 0 5.998 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.008 * [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 6.014 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 3) 6)) (* (/ (pow 1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow 0.3333333333333333 1) 1)))) into -5.551115123125783e-17 6.015 * [backup-simplify]: Simplify (- 0) into 0 6.015 * [backup-simplify]: Simplify (+ -5.551115123125783e-17 0) into (- 5.551115123125783e-17) 6.015 * [backup-simplify]: Simplify (- 5.551115123125783e-17) into (- 5.551115123125783e-17) 6.016 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.016 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1.0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1.0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1.0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.25 6.045 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 4) 24)) (* (/ (pow 1.0 2) 2) (/ (pow -0.5 1) 1)) (* (/ (pow 1.0 1) 1) (/ (pow 0.3333333333333333 1) 1)) (* (/ (pow -0.5 2) 2)) (* (/ (pow -0.25 1) 1)))) into -2.7755575615628914e-17 6.045 * [backup-simplify]: Simplify (- 0) into 0 6.046 * [backup-simplify]: Simplify (+ -2.7755575615628914e-17 0) into (- 2.7755575615628914e-17) 6.046 * [backup-simplify]: Simplify (- 2.7755575615628914e-17) into (- 2.7755575615628914e-17) 6.047 * [backup-simplify]: Simplify (+ (* (- 2.7755575615628914e-17) (pow (/ 1 N) 4)) (+ (* (- 5.551115123125783e-17) (pow (/ 1 N) 3)) (* 1.0 (/ 1 N)))) into (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) 6.047 * [backup-simplify]: Simplify (expm1 (log1p (/ 1.0 (/ 1 (- N))))) into (expm1 (log1p (* -1.0 N))) 6.047 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in (N) around 0 6.047 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 6.047 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 6.047 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 6.047 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 6.047 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 6.047 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 6.047 * [taylor]: Taking taylor expansion of 1 in N 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.047 * [taylor]: Taking taylor expansion of -1.0 in N 6.047 * [backup-simplify]: Simplify -1.0 into -1.0 6.047 * [taylor]: Taking taylor expansion of N in N 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.048 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.048 * [backup-simplify]: Simplify (+ 1 0) into 1 6.048 * [backup-simplify]: Simplify (log 1) into 0 6.049 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 6.049 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.054 * [backup-simplify]: Simplify (exp 0) into 1 6.054 * [taylor]: Taking taylor expansion of 1 in N 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 6.054 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 6.054 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 6.054 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 6.054 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 6.054 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 6.054 * [taylor]: Taking taylor expansion of 1 in N 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.054 * [taylor]: Taking taylor expansion of -1.0 in N 6.054 * [backup-simplify]: Simplify -1.0 into -1.0 6.054 * [taylor]: Taking taylor expansion of N in N 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.054 * [backup-simplify]: Simplify (+ 1 0) into 1 6.055 * [backup-simplify]: Simplify (log 1) into 0 6.055 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 6.056 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.060 * [backup-simplify]: Simplify (exp 0) into 1 6.060 * [taylor]: Taking taylor expansion of 1 in N 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (- 1) into -1 6.061 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 1) 1)))) into -1.0 6.063 * [backup-simplify]: Simplify (- 0) into 0 6.063 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 6.063 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.064 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.064 * [backup-simplify]: Simplify (+ 0 0) into 0 6.071 * [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 6.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 6.078 * [backup-simplify]: Simplify (- 0) into 0 6.078 * [backup-simplify]: Simplify (+ 0 0) into 0 6.078 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [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 6.096 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 3) 6)) (* (/ (pow -1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow -0.3333333333333333 1) 1)))) into 5.551115123125783e-17 6.096 * [backup-simplify]: Simplify (- 0) into 0 6.097 * [backup-simplify]: Simplify (+ 5.551115123125783e-17 0) into 5.551115123125783e-17 6.097 * [backup-simplify]: Simplify 5.551115123125783e-17 into 5.551115123125783e-17 6.097 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.115 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- 1.0)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- 1.0)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- 1.0)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.25 6.127 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 4) 24)) (* (/ (pow -1.0 2) 2) (/ (pow -0.5 1) 1)) (* (/ (pow -1.0 1) 1) (/ (pow -0.3333333333333333 1) 1)) (* (/ (pow -0.5 2) 2)) (* (/ (pow -0.25 1) 1)))) into -2.7755575615628914e-17 6.127 * [backup-simplify]: Simplify (- 0) into 0 6.127 * [backup-simplify]: Simplify (+ -2.7755575615628914e-17 0) into (- 2.7755575615628914e-17) 6.128 * [backup-simplify]: Simplify (- 2.7755575615628914e-17) into (- 2.7755575615628914e-17) 6.129 * [backup-simplify]: Simplify (+ (* (- 2.7755575615628914e-17) (pow (/ 1 (- N)) 4)) (+ (* 5.551115123125783e-17 (pow (/ 1 (- N)) 3)) (* (- 1.0) (/ 1 (- N))))) into (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) 6.129 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 6.129 * [backup-simplify]: Simplify (log1p (/ 1.0 N)) into (log1p (/ 1.0 N)) 6.129 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 N)) in (N) around 0 6.129 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 6.129 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 6.129 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 6.129 * [taylor]: Taking taylor expansion of 1 in N 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 6.129 * [taylor]: Taking taylor expansion of 1.0 in N 6.129 * [backup-simplify]: Simplify 1.0 into 1.0 6.129 * [taylor]: Taking taylor expansion of N in N 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.130 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.130 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.130 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 6.130 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 6.130 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 6.130 * [taylor]: Taking taylor expansion of 1 in N 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 6.130 * [taylor]: Taking taylor expansion of 1.0 in N 6.130 * [backup-simplify]: Simplify 1.0 into 1.0 6.130 * [taylor]: Taking taylor expansion of N in N 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.131 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.131 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.131 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.132 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (+ 1 0) into 1 6.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.136 * [backup-simplify]: Simplify 1.0 into 1.0 6.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [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)) 6.142 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.143 * [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))) 6.143 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 N))) into (log1p (* 1.0 N)) 6.144 * [approximate]: Taking taylor expansion of (log1p (* 1.0 N)) in (N) around 0 6.144 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 6.144 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 6.144 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 6.144 * [taylor]: Taking taylor expansion of 1 in N 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.144 * [taylor]: Taking taylor expansion of 1.0 in N 6.144 * [backup-simplify]: Simplify 1.0 into 1.0 6.144 * [taylor]: Taking taylor expansion of N in N 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.144 * [backup-simplify]: Simplify (+ 1 0) into 1 6.144 * [backup-simplify]: Simplify (log 1) into 0 6.145 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 6.145 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 6.145 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 6.145 * [taylor]: Taking taylor expansion of 1 in N 6.145 * [backup-simplify]: Simplify 1 into 1 6.145 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.145 * [taylor]: Taking taylor expansion of 1.0 in N 6.145 * [backup-simplify]: Simplify 1.0 into 1.0 6.145 * [taylor]: Taking taylor expansion of N in N 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 1 into 1 6.145 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.145 * [backup-simplify]: Simplify (+ 1 0) into 1 6.145 * [backup-simplify]: Simplify (log 1) into 0 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.150 * [backup-simplify]: Simplify 1.0 into 1.0 6.151 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.151 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [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 6.157 * [backup-simplify]: Simplify -0.5 into -0.5 6.161 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.161 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [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 6.170 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.170 * [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)))) 6.170 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 (- N)))) into (log1p (* -1.0 N)) 6.170 * [approximate]: Taking taylor expansion of (log1p (* -1.0 N)) in (N) around 0 6.171 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 6.171 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 6.171 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 6.171 * [taylor]: Taking taylor expansion of 1 in N 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.171 * [taylor]: Taking taylor expansion of -1.0 in N 6.171 * [backup-simplify]: Simplify -1.0 into -1.0 6.171 * [taylor]: Taking taylor expansion of N in N 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.171 * [backup-simplify]: Simplify (+ 1 0) into 1 6.172 * [backup-simplify]: Simplify (log 1) into 0 6.172 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 6.172 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 6.172 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 6.172 * [taylor]: Taking taylor expansion of 1 in N 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.172 * [taylor]: Taking taylor expansion of -1.0 in N 6.172 * [backup-simplify]: Simplify -1.0 into -1.0 6.172 * [taylor]: Taking taylor expansion of N in N 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.172 * [backup-simplify]: Simplify (+ 1 0) into 1 6.173 * [backup-simplify]: Simplify (log 1) into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 6.174 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.178 * [backup-simplify]: Simplify -1.0 into -1.0 6.179 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.179 * [backup-simplify]: Simplify (+ 0 0) into 0 6.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.186 * [backup-simplify]: Simplify -0.5 into -0.5 6.186 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.186 * [backup-simplify]: Simplify (+ 0 0) into 0 6.196 * [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 6.196 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.197 * [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)))) 6.197 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.197 * [backup-simplify]: Simplify (log1p (expm1 (log1p (/ 1.0 N)))) into (log1p (expm1 (log1p (/ 1.0 N)))) 6.197 * [approximate]: Taking taylor expansion of (log1p (expm1 (log1p (/ 1.0 N)))) in (N) around 0 6.197 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (/ 1.0 N)))) in N 6.197 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (/ 1.0 N))))) 6.197 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (/ 1.0 N)))) in N 6.197 * [taylor]: Taking taylor expansion of 1 in N 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 6.197 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 6.197 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 6.197 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 6.197 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 6.197 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 6.197 * [taylor]: Taking taylor expansion of 1 in N 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 6.197 * [taylor]: Taking taylor expansion of 1.0 in N 6.197 * [backup-simplify]: Simplify 1.0 into 1.0 6.197 * [taylor]: Taking taylor expansion of N in N 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.198 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.199 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 6.199 * [taylor]: Taking taylor expansion of 1 in N 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (- 1) into -1 6.200 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 6.200 * [backup-simplify]: Simplify (+ 1 (- (exp (- (log 1.0) (log N))) 1)) into (exp (- (log 1.0) (log N))) 6.201 * [backup-simplify]: Simplify (log (exp (- (log 1.0) (log N)))) into (- (log 1.0) (log N)) 6.201 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (/ 1.0 N)))) in N 6.201 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (/ 1.0 N))))) 6.201 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (/ 1.0 N)))) in N 6.201 * [taylor]: Taking taylor expansion of 1 in N 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 6.201 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 6.201 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 6.201 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 6.201 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 6.201 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 6.201 * [taylor]: Taking taylor expansion of 1 in N 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 6.201 * [taylor]: Taking taylor expansion of 1.0 in N 6.201 * [backup-simplify]: Simplify 1.0 into 1.0 6.201 * [taylor]: Taking taylor expansion of N in N 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.202 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.202 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.203 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 6.203 * [taylor]: Taking taylor expansion of 1 in N 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (- 1) into -1 6.204 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 6.204 * [backup-simplify]: Simplify (+ 1 (- (exp (- (log 1.0) (log N))) 1)) into (exp (- (log 1.0) (log N))) 6.204 * [backup-simplify]: Simplify (log (exp (- (log 1.0) (log N)))) into (- (log 1.0) (log N)) 6.205 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 6.206 * [backup-simplify]: Simplify (+ 1 0) into 1 6.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.211 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 1) 1)))) into (* 1.0 (exp (- (log 1.0) (log N)))) 6.211 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify (+ (* 1.0 (exp (- (log 1.0) (log N)))) 0) into (* 1.0 (exp (- (log 1.0) (log N)))) 6.211 * [backup-simplify]: Simplify (+ 0 (* 1.0 (exp (- (log 1.0) (log N))))) into (* 1.0 (exp (- (log 1.0) (log N)))) 6.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1.0 (exp (- (log 1.0) (log N))))) 1)) (pow (exp (- (log 1.0) (log N))) 1)))) 1) into 1.0 6.212 * [backup-simplify]: Simplify 1.0 into 1.0 6.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify (+ 0 0) into 0 6.219 * [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)) 6.223 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow (/ -1/2 (pow 1.0 2)) 1) 1)))) into (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 6.224 * [backup-simplify]: Simplify (- 0) into 0 6.226 * [backup-simplify]: Simplify (+ (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 0) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 6.227 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2))))) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 6.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1.0 (exp (- (log 1.0) (log N))))) 2)) (pow (exp (- (log 1.0) (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2))))) 1)) (pow (exp (- (log 1.0) (log N))) 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.229 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.230 * [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))) 6.231 * [backup-simplify]: Simplify (log1p (expm1 (log1p (/ 1.0 (/ 1 N))))) into (log1p (expm1 (log1p (* 1.0 N)))) 6.231 * [approximate]: Taking taylor expansion of (log1p (expm1 (log1p (* 1.0 N)))) in (N) around 0 6.231 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* 1.0 N)))) in N 6.231 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* 1.0 N))))) 6.231 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* 1.0 N)))) in N 6.231 * [taylor]: Taking taylor expansion of 1 in N 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 6.231 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 6.231 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 6.231 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 6.231 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 6.231 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 6.231 * [taylor]: Taking taylor expansion of 1 in N 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.231 * [taylor]: Taking taylor expansion of 1.0 in N 6.231 * [backup-simplify]: Simplify 1.0 into 1.0 6.231 * [taylor]: Taking taylor expansion of N in N 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.232 * [backup-simplify]: Simplify (+ 1 0) into 1 6.232 * [backup-simplify]: Simplify (log 1) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.233 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.236 * [backup-simplify]: Simplify (exp 0) into 1 6.236 * [taylor]: Taking taylor expansion of 1 in N 6.236 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify (- 1) into -1 6.237 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.237 * [backup-simplify]: Simplify (+ 1 0) into 1 6.237 * [backup-simplify]: Simplify (log 1) into 0 6.237 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* 1.0 N)))) in N 6.237 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* 1.0 N))))) 6.237 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* 1.0 N)))) in N 6.237 * [taylor]: Taking taylor expansion of 1 in N 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 6.237 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 6.237 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 6.238 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 6.238 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 6.238 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 6.238 * [taylor]: Taking taylor expansion of 1 in N 6.238 * [backup-simplify]: Simplify 1 into 1 6.238 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.238 * [taylor]: Taking taylor expansion of 1.0 in N 6.238 * [backup-simplify]: Simplify 1.0 into 1.0 6.238 * [taylor]: Taking taylor expansion of N in N 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 1 into 1 6.238 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.238 * [backup-simplify]: Simplify (+ 1 0) into 1 6.238 * [backup-simplify]: Simplify (log 1) into 0 6.239 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.239 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.243 * [backup-simplify]: Simplify (exp 0) into 1 6.243 * [taylor]: Taking taylor expansion of 1 in N 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [backup-simplify]: Simplify (- 1) into -1 6.243 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.244 * [backup-simplify]: Simplify (+ 1 0) into 1 6.244 * [backup-simplify]: Simplify (log 1) into 0 6.244 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 1) 1)))) into 1.0 6.250 * [backup-simplify]: Simplify (- 0) into 0 6.250 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.251 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.254 * [backup-simplify]: Simplify 1.0 into 1.0 6.255 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [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 6.264 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 6.264 * [backup-simplify]: Simplify (- 0) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [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 6.271 * [backup-simplify]: Simplify -0.5 into -0.5 6.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.281 * [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 6.288 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 3) 6)) (* (/ (pow 1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow 0.3333333333333333 1) 1)))) into -5.551115123125783e-17 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ -5.551115123125783e-17 0) into (- 5.551115123125783e-17) 6.289 * [backup-simplify]: Simplify (+ 0 (- 5.551115123125783e-17)) into (- 5.551115123125783e-17) 6.301 * [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 (- 5.551115123125783e-17)) 1)) (pow 1 1)))) 6) into 0.33333333333333326 6.301 * [backup-simplify]: Simplify 0.33333333333333326 into 0.33333333333333326 6.301 * [backup-simplify]: Simplify (+ (* 0.33333333333333326 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.301 * [backup-simplify]: Simplify (log1p (expm1 (log1p (/ 1.0 (/ 1 (- N)))))) into (log1p (expm1 (log1p (* -1.0 N)))) 6.301 * [approximate]: Taking taylor expansion of (log1p (expm1 (log1p (* -1.0 N)))) in (N) around 0 6.301 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* -1.0 N)))) in N 6.302 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* -1.0 N))))) 6.302 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* -1.0 N)))) in N 6.302 * [taylor]: Taking taylor expansion of 1 in N 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 6.302 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 6.302 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 6.302 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 6.302 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 6.302 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 6.302 * [taylor]: Taking taylor expansion of 1 in N 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.302 * [taylor]: Taking taylor expansion of -1.0 in N 6.302 * [backup-simplify]: Simplify -1.0 into -1.0 6.302 * [taylor]: Taking taylor expansion of N in N 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.302 * [backup-simplify]: Simplify (+ 1 0) into 1 6.303 * [backup-simplify]: Simplify (log 1) into 0 6.303 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 6.304 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.308 * [backup-simplify]: Simplify (exp 0) into 1 6.308 * [taylor]: Taking taylor expansion of 1 in N 6.308 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (- 1) into -1 6.309 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.309 * [backup-simplify]: Simplify (+ 1 0) into 1 6.309 * [backup-simplify]: Simplify (log 1) into 0 6.309 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* -1.0 N)))) in N 6.309 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* -1.0 N))))) 6.309 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* -1.0 N)))) in N 6.309 * [taylor]: Taking taylor expansion of 1 in N 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 6.310 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 6.310 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 6.310 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 6.310 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 6.310 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 6.310 * [taylor]: Taking taylor expansion of 1 in N 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 6.310 * [taylor]: Taking taylor expansion of -1.0 in N 6.310 * [backup-simplify]: Simplify -1.0 into -1.0 6.310 * [taylor]: Taking taylor expansion of N in N 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (* -1.0 0) into 0 6.310 * [backup-simplify]: Simplify (+ 1 0) into 1 6.310 * [backup-simplify]: Simplify (log 1) into 0 6.311 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 6.312 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.316 * [backup-simplify]: Simplify (exp 0) into 1 6.316 * [taylor]: Taking taylor expansion of 1 in N 6.316 * [backup-simplify]: Simplify 1 into 1 6.317 * [backup-simplify]: Simplify (- 1) into -1 6.317 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.317 * [backup-simplify]: Simplify (+ 1 0) into 1 6.317 * [backup-simplify]: Simplify (log 1) into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 1) 1)))) into -1.0 6.320 * [backup-simplify]: Simplify (- 0) into 0 6.320 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 6.321 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.325 * [backup-simplify]: Simplify -1.0 into -1.0 6.325 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.326 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [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 6.339 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 6.339 * [backup-simplify]: Simplify (- 0) into 0 6.339 * [backup-simplify]: Simplify (+ 0 0) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [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 6.346 * [backup-simplify]: Simplify -0.5 into -0.5 6.347 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.347 * [backup-simplify]: Simplify (+ 0 0) into 0 6.357 * [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 6.364 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 3) 6)) (* (/ (pow -1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow -0.3333333333333333 1) 1)))) into 5.551115123125783e-17 6.365 * [backup-simplify]: Simplify (- 0) into 0 6.365 * [backup-simplify]: Simplify (+ 5.551115123125783e-17 0) into 5.551115123125783e-17 6.365 * [backup-simplify]: Simplify (+ 0 5.551115123125783e-17) into 5.551115123125783e-17 6.377 * [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 5.551115123125783e-17) 1)) (pow 1 1)))) 6) into -0.33333333333333326 6.377 * [backup-simplify]: Simplify -0.33333333333333326 into -0.33333333333333326 6.378 * [backup-simplify]: Simplify (+ (* -0.33333333333333326 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.378 * * * [progress]: simplifying candidates 6.379 * [simplify]: Simplifying: (exp (log1p (/ 1.0 N))) (expm1 (expm1 (log1p (/ 1.0 N)))) (log1p (expm1 (log1p (/ 1.0 N)))) (log (expm1 (log1p (/ 1.0 N)))) (exp (expm1 (log1p (/ 1.0 N)))) (* (cbrt (expm1 (log1p (/ 1.0 N)))) (cbrt (expm1 (log1p (/ 1.0 N))))) (cbrt (expm1 (log1p (/ 1.0 N)))) (* (* (expm1 (log1p (/ 1.0 N))) (expm1 (log1p (/ 1.0 N)))) (expm1 (log1p (/ 1.0 N)))) (sqrt (expm1 (log1p (/ 1.0 N)))) (sqrt (expm1 (log1p (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (* (* (log1p (/ 1.0 N)) (log1p (/ 1.0 N))) (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (+ 1 (expm1 (log1p (/ 1.0 N)))) (expm1 (log1p (expm1 (log1p (/ 1.0 N))))) (log1p (log1p (expm1 (log1p (/ 1.0 N))))) (log (log1p (expm1 (log1p (/ 1.0 N))))) (exp (log1p (expm1 (log1p (/ 1.0 N))))) (* (cbrt (log1p (expm1 (log1p (/ 1.0 N))))) (cbrt (log1p (expm1 (log1p (/ 1.0 N)))))) (cbrt (log1p (expm1 (log1p (/ 1.0 N))))) (* (* (log1p (expm1 (log1p (/ 1.0 N)))) (log1p (expm1 (log1p (/ 1.0 N))))) (log1p (expm1 (log1p (/ 1.0 N))))) (sqrt (log1p (expm1 (log1p (/ 1.0 N))))) (sqrt (log1p (expm1 (log1p (/ 1.0 N))))) (- (+ (* 1.0 (* N (exp (- (log 1.0) (log N))))) (+ (* 0.5 (* (pow N 2) (exp (- (log 1.0) (log N))))) (exp (- (log 1.0) (log N))))) (+ 1 (* 1/2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (pow 1.0 2))))) (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) (- (+ (* 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))) (log N))) (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.379 * * [simplify]: Extracting # 0 : cost 0 6.379 * * [simplify]: Extracting # 1 : cost 0 6.380 * * [simplify]: Extracting # 2 : cost 0 6.380 * * [simplify]: Extracting # 3 : cost 0 6.380 * * [simplify]: Extracting # 4 : cost 0 6.380 * * [simplify]: Extracting # 5 : cost 0 6.380 * * [simplify]: Extracting # 6 : cost 0 6.380 * * [simplify]: Extracting # 7 : cost 0 6.380 * * [simplify]: Extracting # 8 : cost 0 6.380 * * [simplify]: Extracting # 9 : cost 0 6.380 * * [simplify]: iteration 0 : 83 enodes (cost 446 ) 6.398 * * [simplify]: Extracting # 0 : cost 0 6.399 * * [simplify]: Extracting # 1 : cost 0 6.399 * * [simplify]: Extracting # 2 : cost 0 6.399 * * [simplify]: Extracting # 3 : cost 0 6.399 * * [simplify]: iteration 1 : 183 enodes (cost 380 ) 6.463 * * [simplify]: Extracting # 0 : cost 0 6.464 * * [simplify]: Extracting # 1 : cost 0 6.464 * * [simplify]: Extracting # 2 : cost 0 6.465 * * [simplify]: Extracting # 3 : cost 0 6.465 * * [simplify]: Extracting # 4 : cost 0 6.465 * * [simplify]: iteration 2 : 471 enodes (cost 313 ) 6.672 * * [simplify]: Extracting # 0 : cost 0 6.673 * * [simplify]: Extracting # 1 : cost 0 6.675 * * [simplify]: Extracting # 2 : cost 0 6.677 * * [simplify]: Extracting # 3 : cost 0 6.678 * * [simplify]: Extracting # 4 : cost 0 6.680 * * [simplify]: iteration 3 : 1418 enodes (cost 310 ) 10.334 * * [simplify]: Extracting # 0 : cost 0 10.340 * * [simplify]: Extracting # 1 : cost 0 10.344 * * [simplify]: Extracting # 2 : cost 0 10.349 * * [simplify]: Extracting # 3 : cost 0 10.353 * * [simplify]: Extracting # 4 : cost 0 10.358 * * [simplify]: iteration 4 : 4972 enodes (cost 292 ) 11.716 * * [simplify]: Extracting # 0 : cost 0 11.720 * * [simplify]: Extracting # 1 : cost 0 11.724 * * [simplify]: iteration done: 5000 enodes (cost 292 ) 11.730 * [simplify]: Simplified to: (exp (log1p (/ 1.0 N))) (expm1 (/ 1.0 N)) (log1p (/ 1.0 N)) (log (/ 1.0 N)) (exp (/ 1.0 N)) (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (pow (/ 1.0 N) 3) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (+ 1 (/ 1.0 N)) (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (+ 1 (/ 1.0 N)) (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (- (fma 1.0 (+ 1.0 (* 0.5 N)) (/ 1.0 N)) (fma N (/ 1/2 1.0) 1)) (- (- (/ 1.0 N) (/ 2.7755575615628914e-17 (pow N 4))) (/ 5.551115123125783e-17 (pow N 3))) (- (- (/ 1.0 N) (/ 2.7755575615628914e-17 (pow N 4))) (/ 5.551115123125783e-17 (pow N 3))) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log (/ 1.0 N)))) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log (/ 1.0 N)))) (fma (/ 1 (* N N)) (- (/ 0.33333333333333326 N) 0.5) (/ 1.0 N)) (fma (/ 1 (* N N)) (- (/ 0.33333333333333326 N) 0.5) (/ 1.0 N)) 11.731 * * * [progress]: adding candidates to table 11.811 * * [progress]: iteration 4 / 4 11.811 * * * [progress]: picking best candidate 11.815 * * * * [pick]: Picked # 11.815 * * * [progress]: localizing error 11.821 * * * [progress]: generating rewritten candidates 11.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.861 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 11.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 11.873 * * * [progress]: generating series expansions 11.873 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 11.874 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) into (/ (pow (sqrt 1.0) 2) N) 11.874 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) N) in (N) around 0 11.874 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) N) in N 11.874 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 11.874 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.874 * [taylor]: Taking taylor expansion of 1.0 in N 11.874 * [backup-simplify]: Simplify 1.0 into 1.0 11.874 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.875 * [taylor]: Taking taylor expansion of N in N 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 1 into 1 11.876 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 11.877 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) 1) into (pow (sqrt 1.0) 2) 11.877 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) N) in N 11.877 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 11.877 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.877 * [taylor]: Taking taylor expansion of 1.0 in N 11.877 * [backup-simplify]: Simplify 1.0 into 1.0 11.878 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.878 * [taylor]: Taking taylor expansion of N in N 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [backup-simplify]: Simplify 1 into 1 11.879 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 11.880 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) 1) into (pow (sqrt 1.0) 2) 11.881 * [backup-simplify]: Simplify (pow (sqrt 1.0) 2) into (pow (sqrt 1.0) 2) 11.881 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 11.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.883 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 11.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.884 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.885 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 11.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.886 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.887 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 11.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.890 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 11.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.890 * [backup-simplify]: Simplify 0 into 0 11.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.892 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 11.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.893 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (/ 1 N)) into (/ (pow (sqrt 1.0) 2) N) 11.894 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (/ 1 N))) (sqrt (/ 1.0 (/ 1 N)))) into (* N (pow (sqrt 1.0) 2)) 11.894 * [approximate]: Taking taylor expansion of (* N (pow (sqrt 1.0) 2)) in (N) around 0 11.894 * [taylor]: Taking taylor expansion of (* N (pow (sqrt 1.0) 2)) in N 11.894 * [taylor]: Taking taylor expansion of N in N 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 1 into 1 11.894 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 11.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.894 * [taylor]: Taking taylor expansion of 1.0 in N 11.894 * [backup-simplify]: Simplify 1.0 into 1.0 11.894 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.895 * [taylor]: Taking taylor expansion of (* N (pow (sqrt 1.0) 2)) in N 11.895 * [taylor]: Taking taylor expansion of N in N 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 1 into 1 11.895 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 11.895 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.895 * [taylor]: Taking taylor expansion of 1.0 in N 11.895 * [backup-simplify]: Simplify 1.0 into 1.0 11.895 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.896 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 11.897 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 11.899 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1.0) 2))) into (pow (sqrt 1.0) 2) 11.900 * [backup-simplify]: Simplify (pow (sqrt 1.0) 2) into (pow (sqrt 1.0) 2) 11.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.901 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 11.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 1.0) 2)))) into 0 11.901 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.903 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 11.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2))))) into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.906 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 11.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2)))))) into 0 11.907 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.909 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 11.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2))))))) into 0 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.911 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 11.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2)))))))) into 0 11.912 * [backup-simplify]: Simplify 0 into 0 11.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.914 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))))) into 0 11.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2))))))))) into 0 11.915 * [backup-simplify]: Simplify 0 into 0 11.916 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (/ 1 N)) into (/ (pow (sqrt 1.0) 2) N) 11.916 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (/ 1 (- N)))) (sqrt (/ 1.0 (/ 1 (- N))))) into (pow (sqrt (* -1.0 N)) 2) 11.916 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1.0 N)) 2) in (N) around 0 11.916 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1.0 N)) 2) in N 11.916 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 11.916 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 11.916 * [taylor]: Taking taylor expansion of -1.0 in N 11.916 * [backup-simplify]: Simplify -1.0 into -1.0 11.916 * [taylor]: Taking taylor expansion of N in N 11.916 * [backup-simplify]: Simplify 0 into 0 11.916 * [backup-simplify]: Simplify 1 into 1 11.917 * [backup-simplify]: Simplify (* -1.0 0) into 0 11.917 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 11.918 * [backup-simplify]: Simplify (sqrt 0) into 0 11.923 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 11.923 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1.0 N)) 2) in N 11.923 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 11.923 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 11.923 * [taylor]: Taking taylor expansion of -1.0 in N 11.923 * [backup-simplify]: Simplify -1.0 into -1.0 11.923 * [taylor]: Taking taylor expansion of N in N 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [backup-simplify]: Simplify (* -1.0 0) into 0 11.924 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 11.924 * [backup-simplify]: Simplify (sqrt 0) into 0 11.925 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 11.926 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.926 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.926 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.928 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.929 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.929 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.930 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.933 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.933 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.934 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 4)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (* +nan.0 (pow (/ 1 (- N)) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 4)))))))) 11.934 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 11.934 * [backup-simplify]: Simplify (sqrt (/ 1.0 N)) into (* (sqrt (/ 1 N)) (sqrt 1.0)) 11.934 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in (N) around 0 11.934 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 11.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 11.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.934 * [taylor]: Taking taylor expansion of N in N 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify 1 into 1 11.935 * [backup-simplify]: Simplify (/ 1 1) into 1 11.935 * [backup-simplify]: Simplify (sqrt 0) into 0 11.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.936 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.936 * [taylor]: Taking taylor expansion of 1.0 in N 11.936 * [backup-simplify]: Simplify 1.0 into 1.0 11.936 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.936 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 11.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 11.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.936 * [taylor]: Taking taylor expansion of N in N 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [backup-simplify]: Simplify (sqrt 0) into 0 11.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.937 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.937 * [taylor]: Taking taylor expansion of 1.0 in N 11.938 * [backup-simplify]: Simplify 1.0 into 1.0 11.938 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.939 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 11.939 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.941 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.943 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 11.946 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 11.953 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.956 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow N 2)) (+ (* (- (* +nan.0 (sqrt 1.0))) N) (- (* +nan.0 (sqrt 1.0))))) into (- (+ (* +nan.0 (* N (sqrt 1.0))) (- (+ (* +nan.0 (* (pow N 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) 11.956 * [backup-simplify]: Simplify (sqrt (/ 1.0 (/ 1 N))) into (* (sqrt N) (sqrt 1.0)) 11.956 * [approximate]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in (N) around 0 11.956 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 11.956 * [taylor]: Taking taylor expansion of (sqrt N) in N 11.956 * [taylor]: Taking taylor expansion of N in N 11.956 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (sqrt 0) into 0 11.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.957 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.957 * [taylor]: Taking taylor expansion of 1.0 in N 11.957 * [backup-simplify]: Simplify 1.0 into 1.0 11.957 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.958 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 11.958 * [taylor]: Taking taylor expansion of (sqrt N) in N 11.958 * [taylor]: Taking taylor expansion of N in N 11.958 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify 1 into 1 11.958 * [backup-simplify]: Simplify (sqrt 0) into 0 11.959 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.959 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.959 * [taylor]: Taking taylor expansion of 1.0 in N 11.959 * [backup-simplify]: Simplify 1.0 into 1.0 11.959 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.960 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 11.960 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.962 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.964 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 11.967 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 11.974 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.977 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (sqrt 1.0))) (/ 1 N)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 3))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 2))) (- (* +nan.0 (/ (sqrt 1.0) N))))))) 11.978 * [backup-simplify]: Simplify (sqrt (/ 1.0 (/ 1 (- N)))) into (sqrt (* -1.0 N)) 11.978 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 N)) in (N) around 0 11.978 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 11.978 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 11.978 * [taylor]: Taking taylor expansion of -1.0 in N 11.978 * [backup-simplify]: Simplify -1.0 into -1.0 11.978 * [taylor]: Taking taylor expansion of N in N 11.978 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify 1 into 1 11.978 * [backup-simplify]: Simplify (* -1.0 0) into 0 11.979 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 11.979 * [backup-simplify]: Simplify (sqrt 0) into 0 11.980 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 11.980 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 11.980 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 11.980 * [taylor]: Taking taylor expansion of -1.0 in N 11.980 * [backup-simplify]: Simplify -1.0 into -1.0 11.980 * [taylor]: Taking taylor expansion of N in N 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify 1 into 1 11.981 * [backup-simplify]: Simplify (* -1.0 0) into 0 11.981 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 11.982 * [backup-simplify]: Simplify (sqrt 0) into 0 11.983 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 11.983 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.983 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.985 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.986 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.988 * [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))))))) 11.988 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 11.988 * [backup-simplify]: Simplify (sqrt (/ 1.0 N)) into (* (sqrt (/ 1 N)) (sqrt 1.0)) 11.988 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in (N) around 0 11.988 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 11.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 11.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.988 * [taylor]: Taking taylor expansion of N in N 11.988 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify 1 into 1 11.989 * [backup-simplify]: Simplify (/ 1 1) into 1 11.989 * [backup-simplify]: Simplify (sqrt 0) into 0 11.990 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.990 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.990 * [taylor]: Taking taylor expansion of 1.0 in N 11.990 * [backup-simplify]: Simplify 1.0 into 1.0 11.990 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.990 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 11.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 11.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.990 * [taylor]: Taking taylor expansion of N in N 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify 1 into 1 11.991 * [backup-simplify]: Simplify (/ 1 1) into 1 11.991 * [backup-simplify]: Simplify (sqrt 0) into 0 11.992 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.992 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 11.992 * [taylor]: Taking taylor expansion of 1.0 in N 11.992 * [backup-simplify]: Simplify 1.0 into 1.0 11.992 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.993 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 11.993 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.995 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 11.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.997 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 12.000 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 12.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 12.007 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 12.014 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow N 2)) (+ (* (- (* +nan.0 (sqrt 1.0))) N) (- (* +nan.0 (sqrt 1.0))))) into (- (+ (* +nan.0 (* N (sqrt 1.0))) (- (+ (* +nan.0 (* (pow N 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) 12.015 * [backup-simplify]: Simplify (sqrt (/ 1.0 (/ 1 N))) into (* (sqrt N) (sqrt 1.0)) 12.015 * [approximate]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in (N) around 0 12.015 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 12.015 * [taylor]: Taking taylor expansion of (sqrt N) in N 12.015 * [taylor]: Taking taylor expansion of N in N 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (sqrt 0) into 0 12.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 12.016 * [taylor]: Taking taylor expansion of 1.0 in N 12.016 * [backup-simplify]: Simplify 1.0 into 1.0 12.016 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.016 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 12.016 * [taylor]: Taking taylor expansion of (sqrt N) in N 12.016 * [taylor]: Taking taylor expansion of N in N 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (sqrt 0) into 0 12.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.017 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 12.017 * [taylor]: Taking taylor expansion of 1.0 in N 12.018 * [backup-simplify]: Simplify 1.0 into 1.0 12.018 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.019 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 12.021 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 12.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0)))) into (- (* +nan.0 (sqrt 1.0))) 12.026 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 12.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1.0))))) into (- (* +nan.0 (sqrt 1.0))) 12.033 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 12.036 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (sqrt 1.0))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (sqrt 1.0))) (/ 1 N)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 3))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 2))) (- (* +nan.0 (/ (sqrt 1.0) N))))))) 12.036 * [backup-simplify]: Simplify (sqrt (/ 1.0 (/ 1 (- N)))) into (sqrt (* -1.0 N)) 12.036 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 N)) in (N) around 0 12.036 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 12.036 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 12.036 * [taylor]: Taking taylor expansion of -1.0 in N 12.036 * [backup-simplify]: Simplify -1.0 into -1.0 12.036 * [taylor]: Taking taylor expansion of N in N 12.036 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify 1 into 1 12.036 * [backup-simplify]: Simplify (* -1.0 0) into 0 12.037 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 12.037 * [backup-simplify]: Simplify (sqrt 0) into 0 12.038 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 12.038 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 12.038 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 12.038 * [taylor]: Taking taylor expansion of -1.0 in N 12.038 * [backup-simplify]: Simplify -1.0 into -1.0 12.038 * [taylor]: Taking taylor expansion of N in N 12.038 * [backup-simplify]: Simplify 0 into 0 12.039 * [backup-simplify]: Simplify 1 into 1 12.039 * [backup-simplify]: Simplify (* -1.0 0) into 0 12.040 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 12.040 * [backup-simplify]: Simplify (sqrt 0) into 0 12.041 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 12.041 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.041 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.043 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.043 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.044 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.046 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.046 * [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))))))) 12.046 * * * * [progress]: [ 4 / 4 ] generating series at (2) 12.046 * [backup-simplify]: Simplify (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) into (log1p (/ (pow (sqrt 1.0) 2) N)) 12.046 * [approximate]: Taking taylor expansion of (log1p (/ (pow (sqrt 1.0) 2) N)) in (N) around 0 12.046 * [taylor]: Taking taylor expansion of (log1p (/ (pow (sqrt 1.0) 2) N)) in N 12.046 * [taylor]: Rewrote expression to (log (+ 1 (/ (pow (sqrt 1.0) 2) N))) 12.046 * [taylor]: Taking taylor expansion of (+ 1 (/ (pow (sqrt 1.0) 2) N)) in N 12.046 * [taylor]: Taking taylor expansion of 1 in N 12.046 * [backup-simplify]: Simplify 1 into 1 12.047 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) N) in N 12.047 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 12.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 12.047 * [taylor]: Taking taylor expansion of 1.0 in N 12.047 * [backup-simplify]: Simplify 1.0 into 1.0 12.047 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.047 * [taylor]: Taking taylor expansion of N in N 12.047 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify 1 into 1 12.048 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.049 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) 1) into (pow (sqrt 1.0) 2) 12.050 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1.0) 2)) into (pow (sqrt 1.0) 2) 12.051 * [backup-simplify]: Simplify (log (pow (sqrt 1.0) 2)) into (log (pow (sqrt 1.0) 2)) 12.051 * [taylor]: Taking taylor expansion of (log1p (/ (pow (sqrt 1.0) 2) N)) in N 12.051 * [taylor]: Rewrote expression to (log (+ 1 (/ (pow (sqrt 1.0) 2) N))) 12.051 * [taylor]: Taking taylor expansion of (+ 1 (/ (pow (sqrt 1.0) 2) N)) in N 12.051 * [taylor]: Taking taylor expansion of 1 in N 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) N) in N 12.051 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 12.051 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 12.051 * [taylor]: Taking taylor expansion of 1.0 in N 12.051 * [backup-simplify]: Simplify 1.0 into 1.0 12.051 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.052 * [taylor]: Taking taylor expansion of N in N 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.053 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) 1) into (pow (sqrt 1.0) 2) 12.054 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1.0) 2)) into (pow (sqrt 1.0) 2) 12.055 * [backup-simplify]: Simplify (log (pow (sqrt 1.0) 2)) into (log (pow (sqrt 1.0) 2)) 12.056 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (pow (sqrt 1.0) 2))) into (- (log (pow (sqrt 1.0) 2)) (log N)) 12.057 * [backup-simplify]: Simplify (- (log (pow (sqrt 1.0) 2)) (log N)) into (- (log (pow (sqrt 1.0) 2)) (log N)) 12.058 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ 1 0) into 1 12.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (pow (sqrt 1.0) 2) 1)))) 1) into (/ 1 (pow (sqrt 1.0) 2)) 12.065 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 12.065 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.066 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.067 * [backup-simplify]: Simplify (+ 0 0) into 0 12.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (pow (sqrt 1.0) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 1.0) 2) 1)))) 2) into (/ -1/2 (pow (sqrt 1.0) 4)) 12.075 * [backup-simplify]: Simplify (/ -1/2 (pow (sqrt 1.0) 4)) into (/ -1/2 (pow (sqrt 1.0) 4)) 12.078 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (log (pow (sqrt 1.0) 2)) (log N)))) into (- (+ (/ N (pow (sqrt 1.0) 2)) (log (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 12.079 * [backup-simplify]: Simplify (log1p (* (sqrt (/ 1.0 (/ 1 N))) (sqrt (/ 1.0 (/ 1 N))))) into (log1p (* N (pow (sqrt 1.0) 2))) 12.079 * [approximate]: Taking taylor expansion of (log1p (* N (pow (sqrt 1.0) 2))) in (N) around 0 12.079 * [taylor]: Taking taylor expansion of (log1p (* N (pow (sqrt 1.0) 2))) in N 12.079 * [taylor]: Rewrote expression to (log (+ 1 (* N (pow (sqrt 1.0) 2)))) 12.079 * [taylor]: Taking taylor expansion of (+ 1 (* N (pow (sqrt 1.0) 2))) in N 12.079 * [taylor]: Taking taylor expansion of 1 in N 12.079 * [backup-simplify]: Simplify 1 into 1 12.079 * [taylor]: Taking taylor expansion of (* N (pow (sqrt 1.0) 2)) in N 12.079 * [taylor]: Taking taylor expansion of N in N 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 1 into 1 12.079 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 12.079 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 12.079 * [taylor]: Taking taylor expansion of 1.0 in N 12.079 * [backup-simplify]: Simplify 1.0 into 1.0 12.079 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.080 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.081 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 12.081 * [backup-simplify]: Simplify (+ 1 0) into 1 12.081 * [backup-simplify]: Simplify (log 1) into 0 12.081 * [taylor]: Taking taylor expansion of (log1p (* N (pow (sqrt 1.0) 2))) in N 12.081 * [taylor]: Rewrote expression to (log (+ 1 (* N (pow (sqrt 1.0) 2)))) 12.081 * [taylor]: Taking taylor expansion of (+ 1 (* N (pow (sqrt 1.0) 2))) in N 12.081 * [taylor]: Taking taylor expansion of 1 in N 12.081 * [backup-simplify]: Simplify 1 into 1 12.081 * [taylor]: Taking taylor expansion of (* N (pow (sqrt 1.0) 2)) in N 12.081 * [taylor]: Taking taylor expansion of N in N 12.081 * [backup-simplify]: Simplify 0 into 0 12.081 * [backup-simplify]: Simplify 1 into 1 12.081 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in N 12.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 12.082 * [taylor]: Taking taylor expansion of 1.0 in N 12.082 * [backup-simplify]: Simplify 1.0 into 1.0 12.082 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.083 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.083 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 12.084 * [backup-simplify]: Simplify (+ 1 0) into 1 12.084 * [backup-simplify]: Simplify (log 1) into 0 12.084 * [backup-simplify]: Simplify 0 into 0 12.084 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1.0) 2))) into (pow (sqrt 1.0) 2) 12.087 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1.0) 2)) into (pow (sqrt 1.0) 2) 12.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (pow (sqrt 1.0) 2)) 1)) (pow 1 1)))) 1) into (pow (sqrt 1.0) 2) 12.093 * [backup-simplify]: Simplify (pow (sqrt 1.0) 2) into (pow (sqrt 1.0) 2) 12.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.094 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 1.0) 2)))) into 0 12.095 * [backup-simplify]: Simplify (+ 0 0) into 0 12.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (pow (sqrt 1.0) 2)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (pow (sqrt 1.0) 4)) 12.107 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 4)) into (* -1/2 (pow (sqrt 1.0) 4)) 12.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.109 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 12.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2))))) into 0 12.110 * [backup-simplify]: Simplify (+ 0 0) into 0 12.121 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (pow (sqrt 1.0) 2)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (pow (sqrt 1.0) 2)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (* 1/3 (pow (sqrt 1.0) 6)) 12.123 * [backup-simplify]: Simplify (* 1/3 (pow (sqrt 1.0) 6)) into (* 1/3 (pow (sqrt 1.0) 6)) 12.126 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (sqrt 1.0) 6)) (pow (/ 1 N) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 4)) (pow (/ 1 N) 2)) (* (pow (sqrt 1.0) 2) (/ 1 N)))) into (- (+ (/ (pow (sqrt 1.0) 2) N) (* 1/3 (/ (pow (sqrt 1.0) 6) (pow N 3)))) (* 1/2 (/ (pow (sqrt 1.0) 4) (pow N 2)))) 12.126 * [backup-simplify]: Simplify (log1p (* (sqrt (/ 1.0 (/ 1 (- N)))) (sqrt (/ 1.0 (/ 1 (- N)))))) into (log1p (pow (sqrt (* -1.0 N)) 2)) 12.126 * [approximate]: Taking taylor expansion of (log1p (pow (sqrt (* -1.0 N)) 2)) in (N) around 0 12.126 * [taylor]: Taking taylor expansion of (log1p (pow (sqrt (* -1.0 N)) 2)) in N 12.126 * [taylor]: Rewrote expression to (log (+ 1 (pow (sqrt (* -1.0 N)) 2))) 12.126 * [taylor]: Taking taylor expansion of (+ 1 (pow (sqrt (* -1.0 N)) 2)) in N 12.126 * [taylor]: Taking taylor expansion of 1 in N 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1.0 N)) 2) in N 12.126 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 12.126 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 12.126 * [taylor]: Taking taylor expansion of -1.0 in N 12.126 * [backup-simplify]: Simplify -1.0 into -1.0 12.126 * [taylor]: Taking taylor expansion of N in N 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.127 * [backup-simplify]: Simplify (* -1.0 0) into 0 12.127 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 12.128 * [backup-simplify]: Simplify (sqrt 0) into 0 12.129 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 12.129 * [backup-simplify]: Simplify (+ 1 0) into 1 12.129 * [backup-simplify]: Simplify (log 1) into 0 12.129 * [taylor]: Taking taylor expansion of (log1p (pow (sqrt (* -1.0 N)) 2)) in N 12.129 * [taylor]: Rewrote expression to (log (+ 1 (pow (sqrt (* -1.0 N)) 2))) 12.129 * [taylor]: Taking taylor expansion of (+ 1 (pow (sqrt (* -1.0 N)) 2)) in N 12.129 * [taylor]: Taking taylor expansion of 1 in N 12.129 * [backup-simplify]: Simplify 1 into 1 12.129 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1.0 N)) 2) in N 12.129 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 12.129 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 12.129 * [taylor]: Taking taylor expansion of -1.0 in N 12.129 * [backup-simplify]: Simplify -1.0 into -1.0 12.129 * [taylor]: Taking taylor expansion of N in N 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 1 into 1 12.130 * [backup-simplify]: Simplify (* -1.0 0) into 0 12.131 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 12.131 * [backup-simplify]: Simplify (sqrt 0) into 0 12.132 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 12.132 * [backup-simplify]: Simplify (+ 1 0) into 1 12.132 * [backup-simplify]: Simplify (log 1) into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify (+ 0 0) into 0 12.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 12.134 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 12.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow 1 1)))) 2) into +nan.0 12.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.141 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.142 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.143 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 12.144 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 12.154 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- +nan.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- +nan.0)) 1)) (pow 1 1)))) 6) into +nan.0 12.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.154 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.158 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 12.158 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 12.178 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- +nan.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- +nan.0)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 (- +nan.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- +nan.0)) 1)) (pow 1 1)))) 24) into +nan.0 12.178 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.178 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 4)) (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (* +nan.0 (pow (/ 1 (- N)) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 4)))))))) 12.178 * * * [progress]: simplifying candidates 12.181 * [simplify]: Simplifying: (expm1 (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 N) (/ 1.0 N)) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (/ 1.0 N) (/ 1.0 N)) (+ 1 1) (+ (log (sqrt (/ 1.0 N))) (log (sqrt (/ 1.0 N)))) (log (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (exp (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (* (* (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (* (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N)))) (* (cbrt (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (cbrt (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (cbrt (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (* (* (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (* (/ 1.0 N) (/ 1.0 N)) (sqrt (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (sqrt (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt N) (sqrt N)) (* (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (* (sqrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (sqrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))))) (* (sqrt (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))))) (* (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (cbrt 1.0) (cbrt N)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)))) (* (sqrt (/ (cbrt 1.0) (sqrt N))) (sqrt (/ (cbrt 1.0) (sqrt N)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) N)) (sqrt (/ (cbrt 1.0) N))) (* (sqrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N))))) (* (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ (sqrt 1.0) (cbrt N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) N)) (sqrt (/ (sqrt 1.0) N))) (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (* (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1.0 (cbrt N)))) (* (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N)))) (* (sqrt (/ 1.0 (sqrt N))) (sqrt (/ 1.0 (sqrt N)))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* 1 1) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ 1.0 N)) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))))) (* (sqrt (/ 1.0 N)) (sqrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))))) (* (sqrt (/ 1.0 N)) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ 1.0 N)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))))) (* (sqrt (/ 1.0 N)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)))) (* (sqrt (/ 1.0 N)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ 1.0 N)) (sqrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N))))) (* (sqrt (/ 1.0 N)) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ 1.0 N)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1 (sqrt N)))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 N)) (sqrt 1)) (* (sqrt (/ 1.0 N)) (sqrt 1.0)) (* (sqrt (/ 1.0 N)) (sqrt (sqrt (/ 1.0 N)))) (* (sqrt (/ 1.0 N)) 1) (* (cbrt (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (* (sqrt (cbrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (cbrt 1.0) (sqrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (cbrt 1.0) N)) (sqrt (/ 1.0 N))) (* (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 (sqrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1 N)) (sqrt (/ 1.0 N))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt 1.0)) (* (sqrt 1.0) (sqrt (/ 1.0 N))) (expm1 (sqrt (/ 1.0 N))) (log1p (sqrt (/ 1.0 N))) (log (sqrt (/ 1.0 N))) (exp (sqrt (/ 1.0 N))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (cbrt (sqrt (/ 1.0 N))) (* (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (sqrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (sqrt (cbrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (sqrt (/ (cbrt 1.0) (sqrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (cbrt 1.0) N)) (sqrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1.0 (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ 1.0 N)) (sqrt 1) (sqrt (/ 1.0 N)) (sqrt 1.0) (sqrt (/ 1 N)) (sqrt 1.0) (sqrt N) (/ 1 2) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (expm1 (sqrt (/ 1.0 N))) (log1p (sqrt (/ 1.0 N))) (log (sqrt (/ 1.0 N))) (exp (sqrt (/ 1.0 N))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (cbrt (sqrt (/ 1.0 N))) (* (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (sqrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (sqrt (cbrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (sqrt (/ (cbrt 1.0) (sqrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (cbrt 1.0) N)) (sqrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1.0 (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ 1.0 N)) (sqrt 1) (sqrt (/ 1.0 N)) (sqrt 1.0) (sqrt (/ 1 N)) (sqrt 1.0) (sqrt N) (/ 1 2) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (+ 1 (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (expm1 (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (log1p (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (log (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (exp (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (* (cbrt (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (cbrt (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))))) (cbrt (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (* (* (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)))) (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (sqrt (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (sqrt (log1p (* (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N))))) (/ (pow (sqrt 1.0) 2) N) (/ (pow (sqrt 1.0) 2) N) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 4)))))))) (- (+ (* +nan.0 (* N (sqrt 1.0))) (- (+ (* +nan.0 (* (pow N 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 3))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 2))) (- (* +nan.0 (/ (sqrt 1.0) N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (* N (sqrt 1.0))) (- (+ (* +nan.0 (* (pow N 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 3))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow N 2))) (- (* +nan.0 (/ (sqrt 1.0) N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (/ N (pow (sqrt 1.0) 2)) (log (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (/ (pow (sqrt 1.0) 2) N) (* 1/3 (/ (pow (sqrt 1.0) 6) (pow N 3)))) (* 1/2 (/ (pow (sqrt 1.0) 4) (pow N 2)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 4)))))))) 12.189 * * [simplify]: Extracting # 0 : cost 0 12.189 * * [simplify]: Extracting # 1 : cost 0 12.189 * * [simplify]: Extracting # 2 : cost 0 12.189 * * [simplify]: Extracting # 3 : cost 0 12.189 * * [simplify]: Extracting # 4 : cost 0 12.190 * * [simplify]: Extracting # 5 : cost 0 12.190 * * [simplify]: Extracting # 6 : cost 0 12.190 * * [simplify]: Extracting # 7 : cost 0 12.190 * * [simplify]: Extracting # 8 : cost 0 12.191 * * [simplify]: Extracting # 9 : cost 0 12.191 * * [simplify]: Extracting # 10 : cost 0 12.191 * * [simplify]: Extracting # 11 : cost 0 12.191 * * [simplify]: iteration 0 : 210 enodes (cost 2088 ) 12.242 * * [simplify]: Extracting # 0 : cost 0 12.243 * * [simplify]: Extracting # 1 : cost 0 12.243 * * [simplify]: Extracting # 2 : cost 0 12.244 * * [simplify]: Extracting # 3 : cost 0 12.244 * * [simplify]: Extracting # 4 : cost 0 12.245 * * [simplify]: iteration 1 : 400 enodes (cost 1425 ) 12.370 * * [simplify]: Extracting # 0 : cost 0 12.372 * * [simplify]: Extracting # 1 : cost 0 12.373 * * [simplify]: Extracting # 2 : cost 0 12.375 * * [simplify]: Extracting # 3 : cost 0 12.376 * * [simplify]: Extracting # 4 : cost 0 12.378 * * [simplify]: iteration 2 : 1231 enodes (cost 1319 ) 13.199 * * [simplify]: Extracting # 0 : cost 0 13.204 * * [simplify]: Extracting # 1 : cost 0 13.208 * * [simplify]: Extracting # 2 : cost 0 13.216 * * [simplify]: Extracting # 3 : cost 0 13.220 * * [simplify]: Extracting # 4 : cost 0 13.224 * * [simplify]: iteration 3 : 3845 enodes (cost 1272 ) 14.202 * * [simplify]: Extracting # 0 : cost 0 14.208 * * [simplify]: Extracting # 1 : cost 0 14.214 * * [simplify]: iteration done: 5000 enodes (cost 1272 ) 14.215 * [simplify]: Simplified to: (expm1 (/ 1.0 N)) (log1p (/ 1.0 N)) 1 1 2 1 1 (pow (sqrt (/ 1.0 N)) 4) (/ 1.0 N) (pow (sqrt (/ 1.0 N)) 4) 2 (log (/ 1.0 N)) (log (/ 1.0 N)) (exp (/ 1.0 N)) (pow (/ 1.0 N) 3) (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (pow (/ 1.0 N) 3) (pow (sqrt (/ 1.0 N)) 4) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) 1.0 N (pow (cbrt (sqrt (/ 1.0 N))) 4) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) N) (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (sqrt 1.0) (/ (sqrt 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) 1 (/ 1.0 N) 1 (/ 1.0 N) 1.0 (/ 1 N) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) 1 (/ 1.0 N) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (sqrt (/ 1.0 N))) (sqrt (/ (sqrt 1.0) (sqrt N)))) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) 1 2 1 (* (pow (cbrt (sqrt (/ 1.0 N))) 4) (cbrt (sqrt (/ 1.0 N)))) (* (fabs (cbrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (pow (sqrt (sqrt (/ 1.0 N))) 3) (* (fabs (/ (cbrt 1.0) (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)))) (* (fabs (cbrt 1.0)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (fabs (/ (sqrt (sqrt 1.0)) (cbrt N)))) (* (sqrt (/ 1.0 N)) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ 1.0 N)) (sqrt (sqrt 1.0))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (* (sqrt (/ 1.0 N)) (sqrt (/ 1 (sqrt N)))) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (* (sqrt (/ 1.0 N)) (sqrt 1.0)) (pow (sqrt (sqrt (/ 1.0 N))) 3) (sqrt (/ 1.0 N)) (pow (cbrt (sqrt (/ 1.0 N))) 4) (* (sqrt (cbrt (/ 1.0 N))) (sqrt (/ 1.0 N))) (pow (sqrt (sqrt (/ 1.0 N))) 3) (* (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (cbrt 1.0) (sqrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ (cbrt 1.0) N)) (sqrt (/ 1.0 N))) (* (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 N)) (sqrt (/ (sqrt 1.0) (sqrt N)))) (* (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1.0 N))) (* (sqrt (/ 1.0 (sqrt N))) (sqrt (/ 1.0 N))) (/ 1.0 N) (/ 1.0 N) (* (sqrt (/ 1 N)) (sqrt (/ 1.0 N))) (pow (sqrt (sqrt (/ 1.0 N))) 3) (/ 1.0 N) (* (sqrt (/ 1.0 N)) (sqrt 1.0)) (* (sqrt (/ 1.0 N)) (sqrt 1.0)) (expm1 (sqrt (/ 1.0 N))) (log1p (sqrt (/ 1.0 N))) (log (sqrt (/ 1.0 N))) (exp (sqrt (/ 1.0 N))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (cbrt (sqrt (/ 1.0 N))) (pow (sqrt (/ 1.0 N)) 3) (fabs (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (fabs (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (sqrt (/ (cbrt 1.0) (sqrt N))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) N)) (fabs (/ (sqrt (sqrt 1.0)) (cbrt N))) (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1.0 (sqrt N))) 1 (sqrt (/ 1.0 N)) 1 (sqrt (/ 1.0 N)) (sqrt 1.0) (sqrt (/ 1 N)) (sqrt 1.0) (sqrt N) 1/2 (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (expm1 (sqrt (/ 1.0 N))) (log1p (sqrt (/ 1.0 N))) (log (sqrt (/ 1.0 N))) (exp (sqrt (/ 1.0 N))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (cbrt (sqrt (/ 1.0 N))) (pow (sqrt (/ 1.0 N)) 3) (fabs (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (fabs (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (sqrt (/ (cbrt 1.0) (sqrt N))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) N)) (fabs (/ (sqrt (sqrt 1.0)) (cbrt N))) (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1.0 (sqrt N))) 1 (sqrt (/ 1.0 N)) 1 (sqrt (/ 1.0 N)) (sqrt 1.0) (sqrt (/ 1 N)) (sqrt 1.0) (sqrt N) 1/2 (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (+ 1 (/ 1.0 N)) (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (/ 1.0 N) (/ 1.0 N) (- (- (/ (/ +nan.0 N) N) (/ +nan.0 (pow N 4))) (/ +nan.0 (pow N 3))) (- (* (sqrt 1.0) (- (* +nan.0 N) (- (* +nan.0 (pow N 2)) +nan.0)))) (fma (/ (sqrt 1.0) (pow N 3)) (- +nan.0) (* (/ (sqrt 1.0) N) (- (/ +nan.0 N) +nan.0))) (- (- (/ (/ +nan.0 N) N) (/ +nan.0 N)) (/ +nan.0 (pow N 3))) (- (* (sqrt 1.0) (- (* +nan.0 N) (- (* +nan.0 (pow N 2)) +nan.0)))) (fma (/ (sqrt 1.0) (pow N 3)) (- +nan.0) (* (/ (sqrt 1.0) N) (- (/ +nan.0 N) +nan.0))) (- (- (/ (/ +nan.0 N) N) (/ +nan.0 N)) (/ +nan.0 (pow N 3))) (- (log (/ 1.0 N)) (- (/ 1/2 (pow (sqrt (/ 1.0 N)) 4)) (/ N 1.0))) (fma -1/2 (pow (sqrt (/ 1.0 N)) 4) (fma 1/3 (pow (/ 1.0 N) 3) (/ 1.0 N))) (- (- (/ (/ +nan.0 N) N) (/ +nan.0 (pow N 4))) (/ +nan.0 (pow N 3))) 14.216 * * * [progress]: adding candidates to table 14.546 * [progress]: [Phase 3 of 3] Extracting. 14.546 * * [regime]: Finding splitpoints for: (# # #) 14.546 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.546 * * * * [regimes]: Trying to branch on N from (# # #) 14.559 * * * [regime]: Found split indices: #