9.629 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.052 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: Extracting # 3 : cost 0 0.052 * * [simplify]: Extracting # 4 : cost 0 0.052 * * [simplify]: Extracting # 5 : cost 0 0.053 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.054 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.055 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.056 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.087 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.088 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.088 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.094 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.094 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.095 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.095 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [backup-simplify]: Simplify 1.0 into 1.0 0.095 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.096 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.096 * [taylor]: Taking taylor expansion of (log N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (log 1) into 0 0.097 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.097 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.097 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.098 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [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)) 0.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.119 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.121 * [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))) 0.121 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.122 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.125 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.125 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [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 0.140 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.140 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [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 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [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 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.153 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.154 * [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)))) 0.154 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.154 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.154 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (- 1) into -1 0.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.155 * [backup-simplify]: Simplify (log -1) into (log -1) 0.155 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.155 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.155 * [taylor]: Taking taylor expansion of -1 in N 0.155 * [backup-simplify]: Simplify -1 into -1 0.155 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ -1 1) into -1 0.156 * [backup-simplify]: Simplify (log -1) into (log -1) 0.156 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.157 * [backup-simplify]: Simplify (log -1) into (log -1) 0.157 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.157 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.157 * [taylor]: Taking taylor expansion of -1 in N 0.157 * [backup-simplify]: Simplify -1 into -1 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ -1 1) into -1 0.158 * [backup-simplify]: Simplify (log -1) into (log -1) 0.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.159 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.160 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.166 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [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 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.182 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [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 0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [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 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.215 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.217 * [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)))) 0.217 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.217 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.217 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.217 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.218 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.218 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.218 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [backup-simplify]: Simplify 1.0 into 1.0 0.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.219 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.220 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.220 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [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)) 0.238 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.239 * [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)))) 0.240 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.240 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (log 1) into 0 0.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.243 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify -0.5 into -0.5 0.263 * [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)))) 0.263 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.263 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.265 * [backup-simplify]: Simplify (log -1) into (log -1) 0.265 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.265 * [taylor]: Taking taylor expansion of 1.0 in N 0.265 * [backup-simplify]: Simplify 1.0 into 1.0 0.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (- 1) into -1 0.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.266 * [backup-simplify]: Simplify (log -1) into (log -1) 0.267 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.268 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.272 * [backup-simplify]: Simplify -1.0 into -1.0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [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 0.279 * [backup-simplify]: Simplify -0.5 into -0.5 0.279 * [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)))) 0.280 * * * [progress]: simplifying candidates 0.281 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.282 * * [simplify]: Extracting # 0 : cost 0 0.282 * * [simplify]: Extracting # 1 : cost 0 0.283 * * [simplify]: Extracting # 2 : cost 0 0.283 * * [simplify]: Extracting # 3 : cost 0 0.283 * * [simplify]: Extracting # 4 : cost 0 0.283 * * [simplify]: Extracting # 5 : cost 0 0.283 * * [simplify]: Extracting # 6 : cost 0 0.283 * * [simplify]: Extracting # 7 : cost 0 0.284 * * [simplify]: Extracting # 8 : cost 0 0.284 * * [simplify]: Extracting # 9 : cost 0 0.284 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.333 * * [simplify]: Extracting # 0 : cost 0 0.334 * * [simplify]: Extracting # 1 : cost 0 0.334 * * [simplify]: Extracting # 2 : cost 0 0.335 * * [simplify]: Extracting # 3 : cost 0 0.335 * * [simplify]: Extracting # 4 : cost 0 0.336 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.496 * * [simplify]: Extracting # 0 : cost 0 0.498 * * [simplify]: Extracting # 1 : cost 0 0.499 * * [simplify]: Extracting # 2 : cost 0 0.500 * * [simplify]: Extracting # 3 : cost 0 0.501 * * [simplify]: Extracting # 4 : cost 0 0.502 * * [simplify]: iteration 2 : 666 enodes (cost 705 ) 1.046 * * [simplify]: Extracting # 0 : cost 0 1.050 * * [simplify]: Extracting # 1 : cost 0 1.054 * * [simplify]: Extracting # 2 : cost 0 1.065 * * [simplify]: Extracting # 3 : cost 0 1.069 * * [simplify]: iteration 3 : 2050 enodes (cost 614 ) 4.066 * * [simplify]: Extracting # 0 : cost 0 4.079 * * [simplify]: Extracting # 1 : cost 0 4.088 * * [simplify]: Extracting # 2 : cost 0 4.096 * * [simplify]: Extracting # 3 : cost 0 4.101 * * [simplify]: Extracting # 4 : cost 0 4.110 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 4.111 * [simplify]: Simplified to: (- (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 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)) (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 N) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (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))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ -1/2 1.0) (/ (* N N) 1.0) (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)) 4.111 * * * [progress]: adding candidates to table 4.288 * * [progress]: iteration 2 / 4 4.288 * * * [progress]: picking best candidate 4.295 * * * * [pick]: Picked # 4.295 * * * [progress]: localizing error 4.305 * * * [progress]: generating rewritten candidates 4.305 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.313 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.335 * * * [progress]: generating series expansions 4.335 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.336 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 4.336 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.336 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.336 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.336 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of 1.0 in N 4.336 * [backup-simplify]: Simplify 1.0 into 1.0 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.337 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.337 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.338 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.338 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.338 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.338 * [taylor]: Taking taylor expansion of N in N 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of 1.0 in N 4.338 * [backup-simplify]: Simplify 1.0 into 1.0 4.338 * [taylor]: Taking taylor expansion of N in N 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.339 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.340 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.341 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.342 * [backup-simplify]: Simplify (+ 1 0) into 1 4.343 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.348 * [backup-simplify]: Simplify 1.0 into 1.0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.358 * [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)) 4.359 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.361 * [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))) 4.361 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 4.361 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.361 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.362 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.362 * [taylor]: Taking taylor expansion of N in N 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.362 * [taylor]: Taking taylor expansion of N in N 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [taylor]: Taking taylor expansion of 1.0 in N 4.362 * [backup-simplify]: Simplify 1.0 into 1.0 4.363 * [backup-simplify]: Simplify (+ 1 0) into 1 4.363 * [backup-simplify]: Simplify (* 0 1) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.365 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.365 * [backup-simplify]: Simplify (log 1) into 0 4.365 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.365 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.365 * [taylor]: Taking taylor expansion of N in N 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.365 * [taylor]: Taking taylor expansion of N in N 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [taylor]: Taking taylor expansion of 1.0 in N 4.366 * [backup-simplify]: Simplify 1.0 into 1.0 4.366 * [backup-simplify]: Simplify (+ 1 0) into 1 4.367 * [backup-simplify]: Simplify (* 0 1) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.368 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.369 * [backup-simplify]: Simplify (log 1) into 0 4.369 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.370 * [backup-simplify]: Simplify (+ 0 0) into 0 4.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.385 * [backup-simplify]: Simplify 1.0 into 1.0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.398 * [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 4.398 * [backup-simplify]: Simplify -0.5 into -0.5 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (+ 0 0) into 0 4.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.416 * [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 4.416 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.416 * [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)))) 4.417 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 4.417 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.417 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.417 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.417 * [taylor]: Taking taylor expansion of -1 in N 4.417 * [backup-simplify]: Simplify -1 into -1 4.417 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.417 * [taylor]: Taking taylor expansion of N in N 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.417 * [taylor]: Taking taylor expansion of 1.0 in N 4.417 * [backup-simplify]: Simplify 1.0 into 1.0 4.417 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.417 * [taylor]: Taking taylor expansion of N in N 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (/ 1 1) into 1 4.418 * [backup-simplify]: Simplify (- 1) into -1 4.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.419 * [backup-simplify]: Simplify (* 0 -1) into 0 4.419 * [backup-simplify]: Simplify (* -1 0) into 0 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.420 * [backup-simplify]: Simplify (- 0) into 0 4.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.421 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.422 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.422 * [backup-simplify]: Simplify (log 1) into 0 4.422 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.423 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.423 * [taylor]: Taking taylor expansion of -1 in N 4.423 * [backup-simplify]: Simplify -1 into -1 4.423 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.423 * [taylor]: Taking taylor expansion of N in N 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.423 * [taylor]: Taking taylor expansion of 1.0 in N 4.423 * [backup-simplify]: Simplify 1.0 into 1.0 4.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.423 * [taylor]: Taking taylor expansion of N in N 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [backup-simplify]: Simplify (/ 1 1) into 1 4.424 * [backup-simplify]: Simplify (- 1) into -1 4.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.424 * [backup-simplify]: Simplify (* 0 -1) into 0 4.425 * [backup-simplify]: Simplify (* -1 0) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (- 0) into 0 4.426 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.427 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.427 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.428 * [backup-simplify]: Simplify (log 1) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (- 0) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.434 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.440 * [backup-simplify]: Simplify -1.0 into -1.0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (- 0) into 0 4.442 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.456 * [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 4.456 * [backup-simplify]: Simplify -0.5 into -0.5 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.457 * [backup-simplify]: Simplify (- 0) into 0 4.457 * [backup-simplify]: Simplify (+ 0 0) into 0 4.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.469 * [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 4.469 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.470 * [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)))) 4.470 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.470 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 4.470 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.470 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.470 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.470 * [taylor]: Taking taylor expansion of N in N 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [taylor]: Taking taylor expansion of 1.0 in N 4.470 * [backup-simplify]: Simplify 1.0 into 1.0 4.470 * [taylor]: Taking taylor expansion of N in N 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.471 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.471 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.471 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.471 * [taylor]: Taking taylor expansion of N in N 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.471 * [taylor]: Taking taylor expansion of 1.0 in N 4.471 * [backup-simplify]: Simplify 1.0 into 1.0 4.471 * [taylor]: Taking taylor expansion of N in N 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.471 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.472 * [backup-simplify]: Simplify 1.0 into 1.0 4.472 * [backup-simplify]: Simplify (+ 1 0) into 1 4.472 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.472 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (+ 0 0) into 0 4.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify (+ 0 0) into 0 4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [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 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.478 * [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 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 4.478 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 4.478 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.478 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.478 * [taylor]: Taking taylor expansion of N in N 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.478 * [taylor]: Taking taylor expansion of N in N 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [taylor]: Taking taylor expansion of 1.0 in N 4.478 * [backup-simplify]: Simplify 1.0 into 1.0 4.478 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.478 * [taylor]: Taking taylor expansion of N in N 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.478 * [taylor]: Taking taylor expansion of N in N 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.479 * [backup-simplify]: Simplify (/ 1 1) into 1 4.479 * [taylor]: Taking taylor expansion of 1.0 in N 4.479 * [backup-simplify]: Simplify 1.0 into 1.0 4.479 * [backup-simplify]: Simplify (+ 1 0) into 1 4.479 * [backup-simplify]: Simplify (* 0 1) into 0 4.479 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.481 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.481 * [backup-simplify]: Simplify 1 into 1 4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.482 * [backup-simplify]: Simplify (+ 0 0) into 0 4.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.485 * [backup-simplify]: Simplify 1.0 into 1.0 4.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (+ 0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (+ 0 0) into 0 4.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (+ 0 0) into 0 4.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 4.505 * [backup-simplify]: Simplify 0 into 0 4.506 * [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 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.509 * [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 4.510 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.512 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 4.512 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.512 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.512 * [taylor]: Taking taylor expansion of -1 in N 4.512 * [backup-simplify]: Simplify -1 into -1 4.512 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.512 * [taylor]: Taking taylor expansion of N in N 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 1 into 1 4.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.513 * [taylor]: Taking taylor expansion of 1.0 in N 4.513 * [backup-simplify]: Simplify 1.0 into 1.0 4.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.513 * [taylor]: Taking taylor expansion of N in N 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (/ 1 1) into 1 4.513 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.513 * [taylor]: Taking taylor expansion of -1 in N 4.513 * [backup-simplify]: Simplify -1 into -1 4.513 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.513 * [taylor]: Taking taylor expansion of N in N 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.513 * [taylor]: Taking taylor expansion of 1.0 in N 4.513 * [backup-simplify]: Simplify 1.0 into 1.0 4.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.513 * [taylor]: Taking taylor expansion of N in N 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.514 * [backup-simplify]: Simplify (/ 1 1) into 1 4.514 * [backup-simplify]: Simplify (- 1) into -1 4.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.515 * [backup-simplify]: Simplify (* 0 -1) into 0 4.516 * [backup-simplify]: Simplify (* -1 0) into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (- 0) into 0 4.517 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.518 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.519 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.519 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (- 0) into 0 4.520 * [backup-simplify]: Simplify (+ 0 0) into 0 4.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.525 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.525 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (- 0) into 0 4.531 * [backup-simplify]: Simplify (+ 0 0) into 0 4.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.535 * [backup-simplify]: Simplify (- 0) into 0 4.535 * [backup-simplify]: Simplify (+ 0 0) into 0 4.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 4.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (- 0) into 0 4.541 * [backup-simplify]: Simplify (+ 0 0) into 0 4.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 4.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.545 * [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 4.546 * [backup-simplify]: Simplify (- 0) into 0 4.546 * [backup-simplify]: Simplify (+ 0 0) into 0 4.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 4.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.551 * [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 4.551 * [backup-simplify]: Simplify (- 0) into 0 4.551 * [backup-simplify]: Simplify (+ 0 0) into 0 4.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 4.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.556 * * * [progress]: simplifying candidates 4.558 * [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) 4.561 * * [simplify]: Extracting # 0 : cost 0 4.561 * * [simplify]: Extracting # 1 : cost 0 4.561 * * [simplify]: Extracting # 2 : cost 0 4.561 * * [simplify]: Extracting # 3 : cost 0 4.562 * * [simplify]: Extracting # 4 : cost 0 4.562 * * [simplify]: Extracting # 5 : cost 0 4.562 * * [simplify]: Extracting # 6 : cost 0 4.563 * * [simplify]: Extracting # 7 : cost 0 4.563 * * [simplify]: Extracting # 8 : cost 0 4.563 * * [simplify]: Extracting # 9 : cost 0 4.563 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 4.590 * * [simplify]: Extracting # 0 : cost 0 4.590 * * [simplify]: Extracting # 1 : cost 0 4.590 * * [simplify]: Extracting # 2 : cost 0 4.591 * * [simplify]: Extracting # 3 : cost 0 4.591 * * [simplify]: Extracting # 4 : cost 0 4.591 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 4.705 * * [simplify]: Extracting # 0 : cost 0 4.706 * * [simplify]: Extracting # 1 : cost 0 4.707 * * [simplify]: Extracting # 2 : cost 0 4.707 * * [simplify]: Extracting # 3 : cost 0 4.708 * * [simplify]: Extracting # 4 : cost 0 4.708 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 5.056 * * [simplify]: Extracting # 0 : cost 0 5.058 * * [simplify]: Extracting # 1 : cost 0 5.060 * * [simplify]: Extracting # 2 : cost 0 5.061 * * [simplify]: Extracting # 3 : cost 0 5.063 * * [simplify]: Extracting # 4 : cost 0 5.068 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 6.974 * * [simplify]: Extracting # 0 : cost 0 6.979 * * [simplify]: Extracting # 1 : cost 0 6.983 * * [simplify]: Extracting # 2 : cost 0 6.986 * * [simplify]: Extracting # 3 : cost 0 6.989 * * [simplify]: Extracting # 4 : cost 0 6.996 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 8.420 * * [simplify]: Extracting # 0 : cost 0 8.424 * * [simplify]: Extracting # 1 : cost 0 8.429 * * [simplify]: Extracting # 2 : cost 0 8.434 * * [simplify]: Extracting # 3 : cost 0 8.438 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 8.439 * [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) 8.439 * * * [progress]: adding candidates to table 8.638 * * [progress]: iteration 3 / 4 8.638 * * * [progress]: picking best candidate 8.640 * * * * [pick]: Picked # 8.640 * * * [progress]: localizing error 8.649 * * * [progress]: generating rewritten candidates 8.649 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 8.650 * * * [progress]: generating series expansions 8.650 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 8.650 * [backup-simplify]: Simplify (log1p (/ 1.0 N)) into (log1p (/ 1.0 N)) 8.650 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 N)) in (N) around 0 8.650 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.651 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.651 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.651 * [taylor]: Taking taylor expansion of 1 in N 8.651 * [backup-simplify]: Simplify 1 into 1 8.651 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.651 * [taylor]: Taking taylor expansion of 1.0 in N 8.651 * [backup-simplify]: Simplify 1.0 into 1.0 8.651 * [taylor]: Taking taylor expansion of N in N 8.651 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify 1 into 1 8.651 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.652 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.652 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.652 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.652 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.652 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.652 * [taylor]: Taking taylor expansion of 1 in N 8.652 * [backup-simplify]: Simplify 1 into 1 8.652 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.652 * [taylor]: Taking taylor expansion of 1.0 in N 8.652 * [backup-simplify]: Simplify 1.0 into 1.0 8.652 * [taylor]: Taking taylor expansion of N in N 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 1 into 1 8.653 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.653 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.654 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify (+ 1 0) into 1 8.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.658 * [backup-simplify]: Simplify 1.0 into 1.0 8.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (+ 0 0) into 0 8.664 * [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)) 8.665 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.667 * [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))) 8.667 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 N))) into (log1p (* 1.0 N)) 8.667 * [approximate]: Taking taylor expansion of (log1p (* 1.0 N)) in (N) around 0 8.667 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.667 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.667 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.668 * [taylor]: Taking taylor expansion of 1 in N 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.668 * [taylor]: Taking taylor expansion of 1.0 in N 8.668 * [backup-simplify]: Simplify 1.0 into 1.0 8.668 * [taylor]: Taking taylor expansion of N in N 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.669 * [backup-simplify]: Simplify (+ 1 0) into 1 8.669 * [backup-simplify]: Simplify (log 1) into 0 8.669 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.669 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.669 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.669 * [taylor]: Taking taylor expansion of 1 in N 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.669 * [taylor]: Taking taylor expansion of 1.0 in N 8.669 * [backup-simplify]: Simplify 1.0 into 1.0 8.669 * [taylor]: Taking taylor expansion of N in N 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.670 * [backup-simplify]: Simplify (+ 1 0) into 1 8.671 * [backup-simplify]: Simplify (log 1) into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.673 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.679 * [backup-simplify]: Simplify 1.0 into 1.0 8.680 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.693 * [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 8.693 * [backup-simplify]: Simplify -0.5 into -0.5 8.694 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.694 * [backup-simplify]: Simplify (+ 0 0) into 0 8.712 * [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 8.712 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.712 * [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)))) 8.713 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 (- N)))) into (log1p (* -1.0 N)) 8.713 * [approximate]: Taking taylor expansion of (log1p (* -1.0 N)) in (N) around 0 8.713 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 8.713 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 8.713 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 8.713 * [taylor]: Taking taylor expansion of 1 in N 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 8.713 * [taylor]: Taking taylor expansion of -1.0 in N 8.713 * [backup-simplify]: Simplify -1.0 into -1.0 8.713 * [taylor]: Taking taylor expansion of N in N 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [backup-simplify]: Simplify (* -1.0 0) into 0 8.714 * [backup-simplify]: Simplify (+ 1 0) into 1 8.714 * [backup-simplify]: Simplify (log 1) into 0 8.714 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 8.714 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 8.715 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 8.715 * [taylor]: Taking taylor expansion of 1 in N 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 8.715 * [taylor]: Taking taylor expansion of -1.0 in N 8.715 * [backup-simplify]: Simplify -1.0 into -1.0 8.715 * [taylor]: Taking taylor expansion of N in N 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (* -1.0 0) into 0 8.716 * [backup-simplify]: Simplify (+ 1 0) into 1 8.716 * [backup-simplify]: Simplify (log 1) into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 8.718 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 8.727 * [backup-simplify]: Simplify -1.0 into -1.0 8.728 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.739 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.739 * [backup-simplify]: Simplify -0.5 into -0.5 8.740 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [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 8.751 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.751 * [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)))) 8.751 * * * [progress]: simplifying candidates 8.751 * [simplify]: Simplifying: (+ 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))) (- (+ (* 1.0 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)))) 8.752 * * [simplify]: Extracting # 0 : cost 0 8.752 * * [simplify]: Extracting # 1 : cost 0 8.752 * * [simplify]: Extracting # 2 : cost 0 8.752 * * [simplify]: Extracting # 3 : cost 0 8.752 * * [simplify]: Extracting # 4 : cost 0 8.752 * * [simplify]: Extracting # 5 : cost 0 8.752 * * [simplify]: Extracting # 6 : cost 0 8.752 * * [simplify]: Extracting # 7 : cost 0 8.752 * * [simplify]: Extracting # 8 : cost 0 8.752 * * [simplify]: Extracting # 9 : cost 0 8.752 * * [simplify]: iteration 0 : 39 enodes (cost 126 ) 8.766 * * [simplify]: Extracting # 0 : cost 0 8.766 * * [simplify]: Extracting # 1 : cost 0 8.766 * * [simplify]: Extracting # 2 : cost 0 8.767 * * [simplify]: Extracting # 3 : cost 0 8.767 * * [simplify]: Extracting # 4 : cost 0 8.767 * * [simplify]: iteration 1 : 85 enodes (cost 120 ) 8.821 * * [simplify]: Extracting # 0 : cost 0 8.821 * * [simplify]: Extracting # 1 : cost 0 8.821 * * [simplify]: Extracting # 2 : cost 0 8.822 * * [simplify]: Extracting # 3 : cost 0 8.822 * * [simplify]: Extracting # 4 : cost 0 8.822 * * [simplify]: iteration 2 : 196 enodes (cost 102 ) 8.908 * * [simplify]: Extracting # 0 : cost 0 8.909 * * [simplify]: Extracting # 1 : cost 0 8.909 * * [simplify]: Extracting # 2 : cost 0 8.910 * * [simplify]: Extracting # 3 : cost 0 8.910 * * [simplify]: Extracting # 4 : cost 0 8.910 * * [simplify]: iteration 3 : 430 enodes (cost 102 ) 9.111 * * [simplify]: Extracting # 0 : cost 0 9.112 * * [simplify]: Extracting # 1 : cost 0 9.113 * * [simplify]: Extracting # 2 : cost 0 9.114 * * [simplify]: Extracting # 3 : cost 0 9.115 * * [simplify]: iteration 4 : 991 enodes (cost 100 ) 10.039 * * [simplify]: Extracting # 0 : cost 0 10.042 * * [simplify]: Extracting # 1 : cost 0 10.045 * * [simplify]: Extracting # 2 : cost 0 10.046 * * [simplify]: Extracting # 3 : cost 0 10.048 * * [simplify]: Extracting # 4 : cost 0 10.050 * * [simplify]: iteration 5 : 2352 enodes (cost 98 ) 12.729 * * [simplify]: Extracting # 0 : cost 0 12.744 * * [simplify]: Extracting # 1 : cost 0 12.752 * * [simplify]: Extracting # 2 : cost 0 12.756 * * [simplify]: Extracting # 3 : cost 0 12.760 * * [simplify]: Extracting # 4 : cost 0 12.764 * * [simplify]: iteration done: 5000 enodes (cost 92 ) 12.764 * [simplify]: Simplified to: (+ 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 N (fma -1/2 (/ N (pow 1.0 2)) 1.0) (- (log 1.0) (log N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 12.765 * * * [progress]: adding candidates to table 12.790 * * [progress]: iteration 4 / 4 12.790 * * * [progress]: picking best candidate 12.792 * * * * [pick]: Picked # 12.792 * * * [progress]: localizing error 12.805 * * * [progress]: generating rewritten candidates 12.805 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 13.014 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 13.091 * * * [progress]: generating series expansions 13.091 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 13.092 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) into (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) 13.092 * [approximate]: Taking taylor expansion of (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) in (N) around 0 13.092 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) in N 13.092 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) in N 13.092 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) in N 13.092 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 2))) in N 13.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.092 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.092 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.092 * [taylor]: Taking taylor expansion of N in N 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (* 1 1) into 1 13.093 * [backup-simplify]: Simplify (/ 1 1) into 1 13.093 * [taylor]: Taking taylor expansion of 1.0 in N 13.093 * [backup-simplify]: Simplify 1.0 into 1.0 13.093 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 13.093 * [taylor]: Taking taylor expansion of 0.5 in N 13.093 * [backup-simplify]: Simplify 0.5 into 0.5 13.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.093 * [taylor]: Taking taylor expansion of N in N 13.093 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.094 * [backup-simplify]: Simplify (/ 1 1) into 1 13.094 * [taylor]: Taking taylor expansion of N in N 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.094 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.095 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.095 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.096 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 13.096 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) in N 13.096 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) in N 13.096 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) in N 13.096 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 2))) in N 13.096 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.096 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.096 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.096 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.096 * [taylor]: Taking taylor expansion of N in N 13.096 * [backup-simplify]: Simplify 0 into 0 13.096 * [backup-simplify]: Simplify 1 into 1 13.096 * [backup-simplify]: Simplify (* 1 1) into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.097 * [taylor]: Taking taylor expansion of 1.0 in N 13.097 * [backup-simplify]: Simplify 1.0 into 1.0 13.097 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 13.097 * [taylor]: Taking taylor expansion of 0.5 in N 13.097 * [backup-simplify]: Simplify 0.5 into 0.5 13.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.097 * [taylor]: Taking taylor expansion of N in N 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.097 * [taylor]: Taking taylor expansion of N in N 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.098 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.098 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.099 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.099 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 13.099 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.101 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.102 * [backup-simplify]: Simplify (+ 0 0) into 0 13.102 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.102 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.103 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.106 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 13.106 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.109 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 13.109 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 13.111 * [backup-simplify]: Simplify (- 0) into 0 13.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.114 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 1.0 13.114 * [backup-simplify]: Simplify 1.0 into 1.0 13.115 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 13.115 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1 N))) (/ 1 N)) into (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) 13.116 * [approximate]: Taking taylor expansion of (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) in (N) around 0 13.116 * [taylor]: Taking taylor expansion of (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) in N 13.116 * [taylor]: Taking taylor expansion of N in N 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 1 into 1 13.116 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N)) in N 13.116 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) 1.0) in N 13.116 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.116 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.116 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.116 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.116 * [taylor]: Taking taylor expansion of N in N 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 1 into 1 13.116 * [taylor]: Taking taylor expansion of 1.0 in N 13.116 * [backup-simplify]: Simplify 1.0 into 1.0 13.116 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.116 * [taylor]: Taking taylor expansion of 0.5 in N 13.116 * [backup-simplify]: Simplify 0.5 into 0.5 13.116 * [taylor]: Taking taylor expansion of N in N 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 1 into 1 13.116 * [taylor]: Taking taylor expansion of (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) in N 13.116 * [taylor]: Taking taylor expansion of N in N 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 1 into 1 13.116 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N)) in N 13.116 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) 1.0) in N 13.116 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.116 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.116 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.116 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.117 * [taylor]: Taking taylor expansion of N in N 13.117 * [backup-simplify]: Simplify 0 into 0 13.117 * [backup-simplify]: Simplify 1 into 1 13.117 * [taylor]: Taking taylor expansion of 1.0 in N 13.117 * [backup-simplify]: Simplify 1.0 into 1.0 13.117 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.117 * [taylor]: Taking taylor expansion of 0.5 in N 13.117 * [backup-simplify]: Simplify 0.5 into 0.5 13.117 * [taylor]: Taking taylor expansion of N in N 13.117 * [backup-simplify]: Simplify 0 into 0 13.117 * [backup-simplify]: Simplify 1 into 1 13.117 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.118 * [backup-simplify]: Simplify (* 0.5 0) into 0 13.118 * [backup-simplify]: Simplify (- 0) into 0 13.118 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.119 * [backup-simplify]: Simplify (* 0 1.0) into 0 13.119 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify (+ 0 0) into 0 13.121 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 13.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.122 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.123 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 13.124 * [backup-simplify]: Simplify 1.0 into 1.0 13.124 * [backup-simplify]: Simplify (* 1 1) into 1 13.124 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.125 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 13.126 * [backup-simplify]: Simplify (- 0) into 0 13.126 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.130 * [backup-simplify]: Simplify (+ (* 0 0.3333333333333333) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 13.130 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.132 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.132 * [backup-simplify]: Simplify (+ 0 0) into 0 13.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.134 * [backup-simplify]: Simplify (- 0) into 0 13.134 * [backup-simplify]: Simplify (+ 0 0) into 0 13.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.3333333333333333) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0.3333333333333333 13.138 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.139 * [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)))) 13.139 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) 13.139 * [approximate]: Taking taylor expansion of (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) in (N) around 0 13.139 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) in N 13.139 * [taylor]: Taking taylor expansion of -1 in N 13.139 * [backup-simplify]: Simplify -1 into -1 13.139 * [taylor]: Taking taylor expansion of (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0))) in N 13.140 * [taylor]: Taking taylor expansion of N in N 13.140 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 1 into 1 13.140 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)) in N 13.140 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.140 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.140 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.140 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.140 * [taylor]: Taking taylor expansion of N in N 13.140 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 1 into 1 13.140 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 13.140 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.140 * [taylor]: Taking taylor expansion of 0.5 in N 13.140 * [backup-simplify]: Simplify 0.5 into 0.5 13.140 * [taylor]: Taking taylor expansion of N in N 13.140 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 1 into 1 13.140 * [taylor]: Taking taylor expansion of 1.0 in N 13.140 * [backup-simplify]: Simplify 1.0 into 1.0 13.140 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) in N 13.140 * [taylor]: Taking taylor expansion of -1 in N 13.140 * [backup-simplify]: Simplify -1 into -1 13.140 * [taylor]: Taking taylor expansion of (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0))) in N 13.140 * [taylor]: Taking taylor expansion of N in N 13.140 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 1 into 1 13.140 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)) in N 13.140 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.140 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.140 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.140 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.141 * [taylor]: Taking taylor expansion of N in N 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.141 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 13.141 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.141 * [taylor]: Taking taylor expansion of 0.5 in N 13.141 * [backup-simplify]: Simplify 0.5 into 0.5 13.141 * [taylor]: Taking taylor expansion of N in N 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.141 * [taylor]: Taking taylor expansion of 1.0 in N 13.141 * [backup-simplify]: Simplify 1.0 into 1.0 13.141 * [backup-simplify]: Simplify (* 0.5 0) into 0 13.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.142 * [backup-simplify]: Simplify (* 0 1.0) into 0 13.143 * [backup-simplify]: Simplify (* -1 0) into 0 13.143 * [backup-simplify]: Simplify 0 into 0 13.144 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 13.145 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 13.145 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 13.146 * [backup-simplify]: Simplify (+ (* 0 0.5) (* 1 1.0)) into 1.0 13.148 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 13.148 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.149 * [backup-simplify]: Simplify (* 1 1) into 1 13.149 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 13.150 * [backup-simplify]: Simplify (+ 0 0) into 0 13.151 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.154 * [backup-simplify]: Simplify (+ (* 0 0.3333333333333333) (+ (* 1 0.5) (* 0 1.0))) into 0.5 13.155 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 13.156 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.157 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.158 * [backup-simplify]: Simplify (+ 0 0) into 0 13.159 * [backup-simplify]: Simplify (+ 0 0) into 0 13.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.3333333333333333) (+ (* 0 0.5) (* 0 1.0)))) into 0.3333333333333333 13.165 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into (- 0.3333333333333333) 13.165 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 13.171 * [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)))) 13.171 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 13.171 * [backup-simplify]: Simplify (/ (- (/ 0.3333333333333333 N) 0.5) N) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) 13.171 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) in (N) around 0 13.171 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) in N 13.171 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 13.171 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 13.171 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.171 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.171 * [taylor]: Taking taylor expansion of N in N 13.171 * [backup-simplify]: Simplify 0 into 0 13.171 * [backup-simplify]: Simplify 1 into 1 13.172 * [backup-simplify]: Simplify (/ 1 1) into 1 13.172 * [taylor]: Taking taylor expansion of 0.5 in N 13.172 * [backup-simplify]: Simplify 0.5 into 0.5 13.172 * [taylor]: Taking taylor expansion of N in N 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 1 into 1 13.172 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.173 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.173 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 13.173 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) in N 13.173 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 13.173 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 13.173 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.173 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.173 * [taylor]: Taking taylor expansion of N in N 13.173 * [backup-simplify]: Simplify 0 into 0 13.173 * [backup-simplify]: Simplify 1 into 1 13.174 * [backup-simplify]: Simplify (/ 1 1) into 1 13.174 * [taylor]: Taking taylor expansion of 0.5 in N 13.174 * [backup-simplify]: Simplify 0.5 into 0.5 13.174 * [taylor]: Taking taylor expansion of N in N 13.174 * [backup-simplify]: Simplify 0 into 0 13.174 * [backup-simplify]: Simplify 1 into 1 13.174 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.175 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.175 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 13.175 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.177 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.177 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.178 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.180 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 13.181 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.182 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 13.183 * [backup-simplify]: Simplify (- 0) into 0 13.183 * [backup-simplify]: Simplify (+ 0 0) into 0 13.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 13.184 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.186 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.186 * [backup-simplify]: Simplify (- 0) into 0 13.187 * [backup-simplify]: Simplify (+ 0 0) into 0 13.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.188 * [backup-simplify]: Simplify 0 into 0 13.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.190 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.190 * [backup-simplify]: Simplify (- 0) into 0 13.191 * [backup-simplify]: Simplify (+ 0 0) into 0 13.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.192 * [backup-simplify]: Simplify 0 into 0 13.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.194 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.195 * [backup-simplify]: Simplify (- 0) into 0 13.195 * [backup-simplify]: Simplify (+ 0 0) into 0 13.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.196 * [backup-simplify]: Simplify 0 into 0 13.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.199 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.199 * [backup-simplify]: Simplify (- 0) into 0 13.200 * [backup-simplify]: Simplify (+ 0 0) into 0 13.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.200 * [backup-simplify]: Simplify 0 into 0 13.201 * [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 13.202 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 13.202 * [backup-simplify]: Simplify (- 0) into 0 13.202 * [backup-simplify]: Simplify (+ 0 0) into 0 13.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.203 * [backup-simplify]: Simplify 0 into 0 13.203 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) (* 0.3333333333333333 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.204 * [backup-simplify]: Simplify (/ (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1 N)) into (* N (- (* 0.3333333333333333 N) 0.5)) 13.204 * [approximate]: Taking taylor expansion of (* N (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 13.204 * [taylor]: Taking taylor expansion of (* N (- (* 0.3333333333333333 N) 0.5)) in N 13.204 * [taylor]: Taking taylor expansion of N in N 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 13.204 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.204 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.204 * [taylor]: Taking taylor expansion of N in N 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [taylor]: Taking taylor expansion of 0.5 in N 13.204 * [backup-simplify]: Simplify 0.5 into 0.5 13.204 * [taylor]: Taking taylor expansion of (* N (- (* 0.3333333333333333 N) 0.5)) in N 13.204 * [taylor]: Taking taylor expansion of N in N 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 13.204 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.204 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.204 * [taylor]: Taking taylor expansion of N in N 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [taylor]: Taking taylor expansion of 0.5 in N 13.204 * [backup-simplify]: Simplify 0.5 into 0.5 13.204 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 13.205 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.205 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.205 * [backup-simplify]: Simplify (* 0 (- 0.5)) into 0 13.205 * [backup-simplify]: Simplify 0 into 0 13.206 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 13.206 * [backup-simplify]: Simplify (- 0) into 0 13.207 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.208 * [backup-simplify]: Simplify (+ (* 0 0.3333333333333333) (* 1 (- 0.5))) into (- 0.5) 13.208 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.209 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 13.209 * [backup-simplify]: Simplify (- 0) into 0 13.209 * [backup-simplify]: Simplify (+ 0 0) into 0 13.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.3333333333333333) (* 0 (- 0.5)))) into 0.3333333333333333 13.211 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.211 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.212 * [backup-simplify]: Simplify (- 0) into 0 13.212 * [backup-simplify]: Simplify (+ 0 0) into 0 13.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.213 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.213 * [backup-simplify]: Simplify (- 0) into 0 13.214 * [backup-simplify]: Simplify (+ 0 0) into 0 13.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 13.215 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.216 * [backup-simplify]: Simplify (- 0) into 0 13.216 * [backup-simplify]: Simplify (+ 0 0) into 0 13.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 13.217 * [backup-simplify]: Simplify 0 into 0 13.218 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.218 * [backup-simplify]: Simplify (- 0) into 0 13.218 * [backup-simplify]: Simplify (+ 0 0) into 0 13.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 13.219 * [backup-simplify]: Simplify 0 into 0 13.220 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.220 * [backup-simplify]: Simplify (- 0) into 0 13.221 * [backup-simplify]: Simplify (+ 0 0) into 0 13.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 13.222 * [backup-simplify]: Simplify 0 into 0 13.223 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 13.223 * [backup-simplify]: Simplify (- 0) into 0 13.223 * [backup-simplify]: Simplify (+ 0 0) into 0 13.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))))) into 0 13.224 * [backup-simplify]: Simplify 0 into 0 13.225 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 2)) (* (- 0.5) (/ 1 N))) into (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.225 * [backup-simplify]: Simplify (/ (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1 (- N))) into (* (+ (* 0.3333333333333333 N) 0.5) N) 13.225 * [approximate]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) N) in (N) around 0 13.225 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) N) in N 13.225 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 13.225 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.225 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.225 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.225 * [taylor]: Taking taylor expansion of N in N 13.225 * [backup-simplify]: Simplify 0 into 0 13.225 * [backup-simplify]: Simplify 1 into 1 13.225 * [taylor]: Taking taylor expansion of 0.5 in N 13.225 * [backup-simplify]: Simplify 0.5 into 0.5 13.225 * [taylor]: Taking taylor expansion of N in N 13.225 * [backup-simplify]: Simplify 0 into 0 13.225 * [backup-simplify]: Simplify 1 into 1 13.225 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) N) in N 13.225 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 13.225 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.225 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.225 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.225 * [taylor]: Taking taylor expansion of N in N 13.225 * [backup-simplify]: Simplify 0 into 0 13.225 * [backup-simplify]: Simplify 1 into 1 13.225 * [taylor]: Taking taylor expansion of 0.5 in N 13.225 * [backup-simplify]: Simplify 0.5 into 0.5 13.225 * [taylor]: Taking taylor expansion of N in N 13.225 * [backup-simplify]: Simplify 0 into 0 13.225 * [backup-simplify]: Simplify 1 into 1 13.226 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 13.226 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 13.226 * [backup-simplify]: Simplify (* 0.5 0) into 0 13.226 * [backup-simplify]: Simplify 0 into 0 13.227 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 13.227 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.228 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0.3333333333333333 0)) into 0.5 13.228 * [backup-simplify]: Simplify 0.5 into 0.5 13.229 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 13.229 * [backup-simplify]: Simplify (+ 0 0) into 0 13.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 1) (* 0 0))) into 0.3333333333333333 13.231 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.231 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.231 * [backup-simplify]: Simplify (+ 0 0) into 0 13.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0)))) into 0 13.232 * [backup-simplify]: Simplify 0 into 0 13.233 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.234 * [backup-simplify]: Simplify (+ 0 0) into 0 13.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.235 * [backup-simplify]: Simplify 0 into 0 13.236 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.237 * [backup-simplify]: Simplify (+ 0 0) into 0 13.238 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.238 * [backup-simplify]: Simplify 0 into 0 13.240 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.240 * [backup-simplify]: Simplify (+ 0 0) into 0 13.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.242 * [backup-simplify]: Simplify 0 into 0 13.243 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.244 * [backup-simplify]: Simplify (+ 0 0) into 0 13.246 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.246 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 13.248 * [backup-simplify]: Simplify (+ 0 0) into 0 13.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 2)) (* 0.5 (/ 1 (- N)))) into (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.250 * * * [progress]: simplifying candidates 13.253 * [simplify]: Simplifying: (expm1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log1p (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (- (log (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (log N)) (log (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (exp (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (/ (* (* (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (* N N) N)) (* (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N))) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (* (* (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (- (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (- N) (/ (+ 1.0 (/ (/ 0.3333333333333333 N) N)) N) (/ (/ 0.5 N) N) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (sqrt N)) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) 1) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) 1) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (/ 1 1) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (/ 1 1) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 N) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) 1) (/ N (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* N (+ (* 1.0 1.0) (- (* (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))))) (* N (- 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (expm1 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log1p (/ (- (/ 0.3333333333333333 N) 0.5) N)) (- (log (- (/ 0.3333333333333333 N) 0.5)) (log N)) (log (/ (- (/ 0.3333333333333333 N) 0.5) N)) (exp (/ (- (/ 0.3333333333333333 N) 0.5) N)) (/ (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (* (* N N) N)) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* (* (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N)) (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (- (- (/ 0.3333333333333333 N) 0.5)) (- N) (/ (/ 0.3333333333333333 N) N) (/ 0.5 N) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt N) (cbrt N))) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (sqrt N)) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) 1) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (/ 1 1) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (cbrt N)) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) 1) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (cbrt N)) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (sqrt N)) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (sqrt N)) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) 1) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (/ 1 1) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ 1 N) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) 1) (/ N (cbrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ N (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (/ N (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (* N (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* N (+ (/ 0.3333333333333333 N) 0.5)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.256 * * [simplify]: Extracting # 0 : cost 0 13.256 * * [simplify]: Extracting # 1 : cost 0 13.257 * * [simplify]: Extracting # 2 : cost 0 13.257 * * [simplify]: Extracting # 3 : cost 0 13.257 * * [simplify]: Extracting # 4 : cost 0 13.257 * * [simplify]: Extracting # 5 : cost 0 13.257 * * [simplify]: Extracting # 6 : cost 0 13.257 * * [simplify]: Extracting # 7 : cost 0 13.258 * * [simplify]: iteration 0 : 151 enodes (cost 1337 ) 13.294 * * [simplify]: Extracting # 0 : cost 0 13.294 * * [simplify]: Extracting # 1 : cost 0 13.295 * * [simplify]: Extracting # 2 : cost 0 13.295 * * [simplify]: Extracting # 3 : cost 0 13.295 * * [simplify]: Extracting # 4 : cost 0 13.296 * * [simplify]: iteration 1 : 349 enodes (cost 1292 ) 13.485 * * [simplify]: Extracting # 0 : cost 0 13.486 * * [simplify]: Extracting # 1 : cost 0 13.487 * * [simplify]: Extracting # 2 : cost 0 13.488 * * [simplify]: Extracting # 3 : cost 0 13.489 * * [simplify]: iteration 2 : 891 enodes (cost 1191 ) 13.984 * * [simplify]: Extracting # 0 : cost 0 13.989 * * [simplify]: Extracting # 1 : cost 0 13.993 * * [simplify]: Extracting # 2 : cost 0 13.998 * * [simplify]: Extracting # 3 : cost 0 14.003 * * [simplify]: iteration 3 : 2409 enodes (cost 1182 ) 15.038 * * [simplify]: Extracting # 0 : cost 0 15.044 * * [simplify]: Extracting # 1 : cost 0 15.054 * * [simplify]: Extracting # 2 : cost 0 15.061 * * [simplify]: Extracting # 3 : cost 0 15.066 * * [simplify]: Extracting # 4 : cost 0 15.072 * * [simplify]: iteration done: 5001 enodes (cost 1170 ) 15.073 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log1p (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (exp (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (pow (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 3) (* (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N))) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (pow (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 3) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (- (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (- N) (/ (+ 1.0 (/ (/ 0.3333333333333333 N) N)) N) (/ (/ 0.5 N) N) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (sqrt N)) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) 1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) 1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 N) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (/ N (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* N (fma 1.0 1.0 (* (/ (- (/ 0.3333333333333333 N) 0.5) N) (- (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0)))) (* N (- 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (expm1 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log1p (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log (/ (- (/ 0.3333333333333333 N) 0.5) N)) (exp (/ (- (/ 0.3333333333333333 N) 0.5) N)) (pow (/ (- (/ 0.3333333333333333 N) 0.5) N) 3) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (pow (/ (- (/ 0.3333333333333333 N) 0.5) N) 3) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (- (- (/ 0.3333333333333333 N) 0.5)) (- N) (/ (/ 0.3333333333333333 N) N) (/ 0.5 N) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt N) (cbrt N))) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (sqrt N)) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) 1 (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (cbrt N)) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (cbrt N)) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (sqrt N)) (- (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.5) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) 1 (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ 1 N) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5) (/ N (cbrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ N (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (/ N (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (fma (fma 0.5 N 0.3333333333333333) 0.5 (* (/ 0.3333333333333333 N) 0.3333333333333333)) (fma 0.5 N 0.3333333333333333) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) 15.074 * * * [progress]: adding candidates to table 15.271 * [progress]: [Phase 3 of 3] Extracting. 15.272 * * [regime]: Finding splitpoints for: (# #) 15.272 * * * [regime-changes]: Trying 1 branch expressions: (N) 15.272 * * * * [regimes]: Trying to branch on N from (# #) 15.291 * * * [regime]: Found split indices: #