5.151 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.047 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.084 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.084 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.084 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.084 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.085 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.085 * [taylor]: Taking taylor expansion of (log N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (log 1) into 0 0.086 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.086 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.086 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.086 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.086 * [taylor]: Taking taylor expansion of (log N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (log 1) into 0 0.087 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.087 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.088 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.088 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [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)) 0.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.103 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.105 * [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))) 0.105 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.105 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [backup-simplify]: Simplify 1.0 into 1.0 0.106 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (log 1) into 0 0.106 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (log 1) into 0 0.106 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.107 * [backup-simplify]: Simplify (log 1) into 0 0.107 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (log 1) into 0 0.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.108 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.108 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [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 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.123 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [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 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.141 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.142 * [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)))) 0.142 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.142 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of 1.0 in N 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify (- 1) into -1 0.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.143 * [backup-simplify]: Simplify (log -1) into (log -1) 0.143 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.143 * [taylor]: Taking taylor expansion of -1 in N 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [backup-simplify]: Simplify (log -1) into (log -1) 0.144 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.145 * [backup-simplify]: Simplify (log -1) into (log -1) 0.145 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.145 * [taylor]: Taking taylor expansion of -1 in N 0.145 * [backup-simplify]: Simplify -1 into -1 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ -1 1) into -1 0.146 * [backup-simplify]: Simplify (log -1) into (log -1) 0.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.147 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.147 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.154 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.163 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [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 0.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [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 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.178 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.179 * [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)))) 0.179 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.179 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.179 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.180 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.180 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.180 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.181 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [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)) 0.190 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.191 * [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)))) 0.191 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.191 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.193 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [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 0.204 * [backup-simplify]: Simplify -0.5 into -0.5 0.204 * [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)))) 0.204 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.204 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (log -1) into (log -1) 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.207 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.212 * [backup-simplify]: Simplify -1.0 into -1.0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [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 0.218 * [backup-simplify]: Simplify -0.5 into -0.5 0.219 * [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)))) 0.219 * * * [progress]: simplifying candidates 0.225 * [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)))) 0.225 * [simplify]: Sending expressions to egg_math: (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (expm1 (- (log (+ h0 h1)) (log h0))) (log1p (- (log (+ h0 h1)) (log h0))) (- (log h0)) (- (log h0)) (- (log h0)) (- (log h0)) (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.230 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.234 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.251 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.346 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.349 * * * [progress]: adding candidates to table 0.470 * * [progress]: iteration 2 / 4 0.470 * * * [progress]: picking best candidate 0.476 * * * * [pick]: Picked # 0.476 * * * [progress]: localizing error 0.485 * * * [progress]: generating rewritten candidates 0.486 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.494 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.496 * * * [progress]: generating series expansions 0.496 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.496 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 0.496 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.496 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.504 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 0.504 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.504 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.508 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 0.508 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 0.513 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.513 * [backup-simplify]: Simplify (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) into (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) 0.513 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.513 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.513 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.513 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.514 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.514 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of 0.5 in N 0.514 * [backup-simplify]: Simplify 0.5 into 0.5 0.514 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.514 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.515 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.515 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.515 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.515 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.515 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.515 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 0.5 in N 0.516 * [backup-simplify]: Simplify 0.5 into 0.5 0.516 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.516 * [taylor]: Taking taylor expansion of 1.0 in N 0.516 * [backup-simplify]: Simplify 1.0 into 1.0 0.516 * [taylor]: Taking taylor expansion of N in N 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.516 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.516 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.517 * [backup-simplify]: Simplify (* 1 0.3333333333333333) into 0.3333333333333333 0.517 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.517 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.518 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 0.3333333333333333)) into (- 0.5) 0.521 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 0.521 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 0.3333333333333333))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.525 * [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)))) 0.525 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 (/ 1 N))) into (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) 0.525 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 0.525 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.525 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.525 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.525 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.525 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.525 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.525 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of 0.5 in N 0.525 * [backup-simplify]: Simplify 0.5 into 0.5 0.525 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.525 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [backup-simplify]: Simplify 1.0 into 1.0 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.525 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.526 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.526 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.526 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.526 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of 0.5 in N 0.526 * [backup-simplify]: Simplify 0.5 into 0.5 0.526 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.526 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.531 * [backup-simplify]: Simplify 1.0 into 1.0 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.532 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.532 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.533 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.533 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.534 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.534 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.535 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 0.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.537 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.538 * [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)))) 0.538 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1.0 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) 0.538 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 0.538 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.538 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.538 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.538 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.538 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.538 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.538 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.538 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of 0.5 in N 0.539 * [backup-simplify]: Simplify 0.5 into 0.5 0.539 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.539 * [taylor]: Taking taylor expansion of -1.0 in N 0.539 * [backup-simplify]: Simplify -1.0 into -1.0 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.539 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.539 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.539 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.539 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.539 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.539 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.539 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of 0.5 in N 0.539 * [backup-simplify]: Simplify 0.5 into 0.5 0.539 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.539 * [taylor]: Taking taylor expansion of -1.0 in N 0.539 * [backup-simplify]: Simplify -1.0 into -1.0 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* -1.0 0) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 0.541 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.541 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.542 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.542 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.543 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.543 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.543 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.544 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.544 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.545 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.546 * [backup-simplify]: Simplify (+ (* 1 (- 0.3333333333333333)) (* 0 (- 0.5))) into (- 0.3333333333333333) 0.547 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.547 * [backup-simplify]: Simplify (+ (- 0.3333333333333333) 0) into (- 0.3333333333333333) 0.548 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.549 * [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)))) 0.549 * * * [progress]: simplifying candidates 0.550 * [simplify]: Simplifying: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 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)))) 0.550 * [simplify]: Sending expressions to egg_math: (expm1 (/ 1 (pow h0 2))) (log1p (/ 1 (pow h0 2))) (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (expm1 (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (log1p (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (* (/ 1 (pow h0 2)) (- (/ h3 h0) h2)) (log (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (exp (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (* (cbrt (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (cbrt (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0)))) (cbrt (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (* (* (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0)) (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (sqrt (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (sqrt (fma (/ 1 (pow h0 2)) (- (/ h3 h0) h2) (/ h1 h0))) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (+ (* h1 (/ 1 h0)) (* h3 (/ 1 (pow h0 3)))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 0.554 * * [simplify]: iteration 0 : 208 enodes (cost 384 ) 0.558 * * [simplify]: iteration 1 : 789 enodes (cost 315 ) 0.577 * * [simplify]: iteration 2 : 5001 enodes (cost 269 ) 0.579 * * * [progress]: adding candidates to table 0.673 * * [progress]: iteration 3 / 4 0.673 * * * [progress]: picking best candidate 0.678 * * * * [pick]: Picked # 0.678 * * * [progress]: localizing error 0.682 * * * [progress]: generating rewritten candidates 0.683 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.688 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.707 * * * [progress]: generating series expansions 0.707 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.708 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.708 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.708 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.708 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.708 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [taylor]: Taking taylor expansion of 1.0 in N 0.708 * [backup-simplify]: Simplify 1.0 into 1.0 0.708 * [taylor]: Taking taylor expansion of N in N 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.709 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.709 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.709 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.709 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.709 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.709 * [taylor]: Taking taylor expansion of N in N 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of 1.0 in N 0.709 * [backup-simplify]: Simplify 1.0 into 1.0 0.709 * [taylor]: Taking taylor expansion of N in N 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.710 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.710 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.710 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.711 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.711 * [backup-simplify]: Simplify (+ 1 0) into 1 0.711 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.715 * [backup-simplify]: Simplify 1.0 into 1.0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.720 * [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)) 0.721 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.722 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.722 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.722 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.722 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.722 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [backup-simplify]: Simplify 1.0 into 1.0 0.723 * [backup-simplify]: Simplify (+ 1 0) into 1 0.723 * [backup-simplify]: Simplify (* 0 1) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.724 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.724 * [backup-simplify]: Simplify (log 1) into 0 0.724 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.725 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [taylor]: Taking taylor expansion of 1.0 in N 0.725 * [backup-simplify]: Simplify 1.0 into 1.0 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.725 * [backup-simplify]: Simplify (* 0 1) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.726 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.727 * [backup-simplify]: Simplify (log 1) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.732 * [backup-simplify]: Simplify 1.0 into 1.0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.744 * [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 0.744 * [backup-simplify]: Simplify -0.5 into -0.5 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.754 * [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 0.754 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.755 * [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)))) 0.755 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.755 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.755 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.755 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.755 * [taylor]: Taking taylor expansion of -1 in N 0.755 * [backup-simplify]: Simplify -1 into -1 0.755 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.755 * [taylor]: Taking taylor expansion of N in N 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.755 * [taylor]: Taking taylor expansion of 1.0 in N 0.755 * [backup-simplify]: Simplify 1.0 into 1.0 0.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.755 * [taylor]: Taking taylor expansion of N in N 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [backup-simplify]: Simplify (- 1) into -1 0.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.756 * [backup-simplify]: Simplify (* 0 -1) into 0 0.756 * [backup-simplify]: Simplify (* -1 0) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.757 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.758 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.758 * [backup-simplify]: Simplify (log 1) into 0 0.758 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.758 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.758 * [taylor]: Taking taylor expansion of -1 in N 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.758 * [taylor]: Taking taylor expansion of N in N 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.758 * [taylor]: Taking taylor expansion of 1.0 in N 0.758 * [backup-simplify]: Simplify 1.0 into 1.0 0.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.758 * [taylor]: Taking taylor expansion of N in N 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (- 1) into -1 0.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.759 * [backup-simplify]: Simplify (* 0 -1) into 0 0.759 * [backup-simplify]: Simplify (* -1 0) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.761 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.761 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.761 * [backup-simplify]: Simplify (log 1) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.765 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.769 * [backup-simplify]: Simplify -1.0 into -1.0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.778 * [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 0.778 * [backup-simplify]: Simplify -0.5 into -0.5 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.790 * [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 0.790 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.790 * [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)))) 0.791 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.791 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.791 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.791 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.791 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [taylor]: Taking taylor expansion of 1.0 in N 0.791 * [backup-simplify]: Simplify 1.0 into 1.0 0.791 * [taylor]: Taking taylor expansion of N in N 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.791 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.791 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.791 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [taylor]: Taking taylor expansion of 1.0 in N 0.791 * [backup-simplify]: Simplify 1.0 into 1.0 0.792 * [taylor]: Taking taylor expansion of N in N 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.792 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.792 * [backup-simplify]: Simplify 1.0 into 1.0 0.792 * [backup-simplify]: Simplify (+ 1 0) into 1 0.793 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.798 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.798 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.798 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.798 * [taylor]: Taking taylor expansion of N in N 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.798 * [taylor]: Taking taylor expansion of N in N 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [taylor]: Taking taylor expansion of 1.0 in N 0.799 * [backup-simplify]: Simplify 1.0 into 1.0 0.799 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.799 * [taylor]: Taking taylor expansion of N in N 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.799 * [taylor]: Taking taylor expansion of N in N 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [taylor]: Taking taylor expansion of 1.0 in N 0.799 * [backup-simplify]: Simplify 1.0 into 1.0 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.800 * [backup-simplify]: Simplify (* 0 1) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.801 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.803 * [backup-simplify]: Simplify 1.0 into 1.0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.813 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.813 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.813 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.813 * [taylor]: Taking taylor expansion of -1 in N 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.813 * [taylor]: Taking taylor expansion of 1.0 in N 0.813 * [backup-simplify]: Simplify 1.0 into 1.0 0.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.813 * [taylor]: Taking taylor expansion of -1 in N 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.813 * [taylor]: Taking taylor expansion of 1.0 in N 0.813 * [backup-simplify]: Simplify 1.0 into 1.0 0.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [backup-simplify]: Simplify (- 1) into -1 0.814 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.814 * [backup-simplify]: Simplify (* 0 -1) into 0 0.815 * [backup-simplify]: Simplify (* -1 0) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.816 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.816 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.816 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.820 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.820 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- 0) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.844 * * * [progress]: simplifying candidates 0.845 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.845 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.849 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.853 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.867 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.945 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.947 * * * [progress]: adding candidates to table 1.058 * * [progress]: iteration 4 / 4 1.058 * * * [progress]: picking best candidate 1.064 * * * * [pick]: Picked # 1.064 * * * [progress]: localizing error 1.072 * * * [progress]: generating rewritten candidates 1.072 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.090 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.152 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.165 * * * [progress]: generating series expansions 1.165 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.166 * [backup-simplify]: Simplify (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) into (log (/ (+ N 1.0) N)) 1.166 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.166 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.166 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.166 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.166 * [taylor]: Taking taylor expansion of N in N 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [taylor]: Taking taylor expansion of 1.0 in N 1.166 * [backup-simplify]: Simplify 1.0 into 1.0 1.166 * [taylor]: Taking taylor expansion of N in N 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.167 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.167 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.167 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.167 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [taylor]: Taking taylor expansion of 1.0 in N 1.167 * [backup-simplify]: Simplify 1.0 into 1.0 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.168 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.168 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.169 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.169 * [backup-simplify]: Simplify (+ 1 0) into 1 1.170 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.173 * [backup-simplify]: Simplify 1.0 into 1.0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.180 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.181 * [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))) 1.181 * [backup-simplify]: Simplify (log (* (sqrt (+ (/ 1 N) 1.0)) (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (log (* N (+ (/ 1 N) 1.0))) 1.181 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.181 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.181 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (/ 1 1) into 1 1.181 * [taylor]: Taking taylor expansion of 1.0 in N 1.181 * [backup-simplify]: Simplify 1.0 into 1.0 1.182 * [backup-simplify]: Simplify (+ 1 0) into 1 1.182 * [backup-simplify]: Simplify (* 0 1) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.183 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.183 * [backup-simplify]: Simplify (log 1) into 0 1.183 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.183 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.183 * [taylor]: Taking taylor expansion of N in N 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.183 * [taylor]: Taking taylor expansion of N in N 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [taylor]: Taking taylor expansion of 1.0 in N 1.184 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [backup-simplify]: Simplify (+ 1 0) into 1 1.184 * [backup-simplify]: Simplify (* 0 1) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.185 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.185 * [backup-simplify]: Simplify (log 1) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.191 * [backup-simplify]: Simplify 1.0 into 1.0 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.198 * [backup-simplify]: Simplify -0.5 into -0.5 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.209 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.209 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.209 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.209 * [backup-simplify]: Simplify (log (* (sqrt (+ (/ 1 (- N)) 1.0)) (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.209 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.209 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.209 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.209 * [taylor]: Taking taylor expansion of -1 in N 1.209 * [backup-simplify]: Simplify -1 into -1 1.209 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.209 * [taylor]: Taking taylor expansion of N in N 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.209 * [taylor]: Taking taylor expansion of 1.0 in N 1.209 * [backup-simplify]: Simplify 1.0 into 1.0 1.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.209 * [taylor]: Taking taylor expansion of N in N 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.210 * [backup-simplify]: Simplify (- 1) into -1 1.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.210 * [backup-simplify]: Simplify (* 0 -1) into 0 1.211 * [backup-simplify]: Simplify (* -1 0) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.212 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.212 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.212 * [backup-simplify]: Simplify (log 1) into 0 1.212 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.213 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.213 * [taylor]: Taking taylor expansion of -1 in N 1.213 * [backup-simplify]: Simplify -1 into -1 1.213 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.213 * [taylor]: Taking taylor expansion of N in N 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.213 * [taylor]: Taking taylor expansion of 1.0 in N 1.213 * [backup-simplify]: Simplify 1.0 into 1.0 1.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.213 * [taylor]: Taking taylor expansion of N in N 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (/ 1 1) into 1 1.213 * [backup-simplify]: Simplify (- 1) into -1 1.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.214 * [backup-simplify]: Simplify (* 0 -1) into 0 1.214 * [backup-simplify]: Simplify (* -1 0) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.215 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.215 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.216 * [backup-simplify]: Simplify (log 1) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.219 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.224 * [backup-simplify]: Simplify -1.0 into -1.0 1.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.233 * [backup-simplify]: Simplify -0.5 into -0.5 1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.241 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.251 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 1.251 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.252 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.252 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.252 * [backup-simplify]: Simplify (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) into (/ (+ N 1.0) N) 1.252 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.252 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.252 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.252 * [taylor]: Taking taylor expansion of N in N 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [taylor]: Taking taylor expansion of 1.0 in N 1.252 * [backup-simplify]: Simplify 1.0 into 1.0 1.252 * [taylor]: Taking taylor expansion of N in N 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.253 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.253 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.253 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.253 * [taylor]: Taking taylor expansion of N in N 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of 1.0 in N 1.253 * [backup-simplify]: Simplify 1.0 into 1.0 1.253 * [taylor]: Taking taylor expansion of N in N 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.253 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.254 * [backup-simplify]: Simplify 1.0 into 1.0 1.254 * [backup-simplify]: Simplify (+ 1 0) into 1 1.254 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.254 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [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 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [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 1.259 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.260 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 N) 1.0)) (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))) into (* N (+ (/ 1 N) 1.0)) 1.260 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.260 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (/ 1 1) into 1 1.260 * [taylor]: Taking taylor expansion of 1.0 in N 1.260 * [backup-simplify]: Simplify 1.0 into 1.0 1.260 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (/ 1 1) into 1 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [backup-simplify]: Simplify 1.0 into 1.0 1.261 * [backup-simplify]: Simplify (+ 1 0) into 1 1.261 * [backup-simplify]: Simplify (* 0 1) into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.262 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.262 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.264 * [backup-simplify]: Simplify 1.0 into 1.0 1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [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 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [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 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.275 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- N)) 1.0)) (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))) into (* -1 (* N (- 1.0 (/ 1 N)))) 1.275 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.275 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [backup-simplify]: Simplify -1 into -1 1.275 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [backup-simplify]: Simplify 1.0 into 1.0 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (/ 1 1) into 1 1.275 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [backup-simplify]: Simplify -1 into -1 1.275 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [backup-simplify]: Simplify 1.0 into 1.0 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (/ 1 1) into 1 1.276 * [backup-simplify]: Simplify (- 1) into -1 1.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.276 * [backup-simplify]: Simplify (* 0 -1) into 0 1.276 * [backup-simplify]: Simplify (* -1 0) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.278 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.278 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.278 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.282 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.282 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 1.289 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [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 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [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 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 1.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.299 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 1.299 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.299 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.299 * [taylor]: Taking taylor expansion of N in N 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (/ 1 1) into 1 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.299 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.299 * [taylor]: Taking taylor expansion of N in N 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [taylor]: Taking taylor expansion of 1.0 in N 1.299 * [backup-simplify]: Simplify 1.0 into 1.0 1.300 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.300 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.300 * [backup-simplify]: Simplify (+ 1 0) into 1 1.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (/ 1 1) into 1 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [taylor]: Taking taylor expansion of 1.0 in N 1.302 * [backup-simplify]: Simplify 1.0 into 1.0 1.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.302 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.302 * [backup-simplify]: Simplify (+ 1 0) into 1 1.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.304 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.304 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.307 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.316 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.319 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) N) (+ (/ 1/2 (sqrt 1.0)) (* (sqrt 1.0) (/ 1 N)))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) 1.319 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 1.319 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.319 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [taylor]: Taking taylor expansion of 1.0 in N 1.319 * [backup-simplify]: Simplify 1.0 into 1.0 1.320 * [backup-simplify]: Simplify (+ 1 0) into 1 1.320 * [backup-simplify]: Simplify (sqrt 0) into 0 1.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.321 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.321 * [taylor]: Taking taylor expansion of N in N 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.321 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.321 * [taylor]: Taking taylor expansion of N in N 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.321 * [taylor]: Taking taylor expansion of 1.0 in N 1.321 * [backup-simplify]: Simplify 1.0 into 1.0 1.322 * [backup-simplify]: Simplify (+ 1 0) into 1 1.322 * [backup-simplify]: Simplify (sqrt 0) into 0 1.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.323 * [backup-simplify]: Simplify (* 0 0) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.332 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.334 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.334 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.339 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.339 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.344 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.345 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.346 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.346 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 1.346 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.346 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.346 * [taylor]: Taking taylor expansion of -1 in N 1.346 * [backup-simplify]: Simplify -1 into -1 1.346 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.346 * [taylor]: Taking taylor expansion of 1.0 in N 1.346 * [backup-simplify]: Simplify 1.0 into 1.0 1.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (/ 1 1) into 1 1.347 * [backup-simplify]: Simplify (- 1) into -1 1.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.348 * [backup-simplify]: Simplify (sqrt 0) into 0 1.348 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.348 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.348 * [taylor]: Taking taylor expansion of -1 in N 1.348 * [backup-simplify]: Simplify -1 into -1 1.348 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.348 * [taylor]: Taking taylor expansion of N in N 1.348 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.349 * [taylor]: Taking taylor expansion of 1.0 in N 1.349 * [backup-simplify]: Simplify 1.0 into 1.0 1.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [backup-simplify]: Simplify (- 1) into -1 1.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.350 * [backup-simplify]: Simplify (sqrt 0) into 0 1.350 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.351 * [backup-simplify]: Simplify (* 0 0) into 0 1.351 * [backup-simplify]: Simplify (* -1 0) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.351 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.354 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.356 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.357 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.357 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.362 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.363 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.363 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.369 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.371 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.372 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.372 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.372 * [backup-simplify]: Simplify (sqrt (+ N 1.0)) into (sqrt (+ N 1.0)) 1.372 * [approximate]: Taking taylor expansion of (sqrt (+ N 1.0)) in (N) around 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.372 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.372 * [taylor]: Taking taylor expansion of N in N 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [taylor]: Taking taylor expansion of 1.0 in N 1.372 * [backup-simplify]: Simplify 1.0 into 1.0 1.373 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.373 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.373 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.374 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [taylor]: Taking taylor expansion of 1.0 in N 1.374 * [backup-simplify]: Simplify 1.0 into 1.0 1.374 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.375 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.375 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.376 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.377 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.381 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.382 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow N 2)) (+ (* (/ 1/2 (sqrt 1.0)) N) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3)))) 1.383 * [backup-simplify]: Simplify (sqrt (+ (/ 1 N) 1.0)) into (sqrt (+ (/ 1 N) 1.0)) 1.383 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in (N) around 0 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.383 * [taylor]: Taking taylor expansion of N in N 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ 1 1) into 1 1.383 * [taylor]: Taking taylor expansion of 1.0 in N 1.383 * [backup-simplify]: Simplify 1.0 into 1.0 1.383 * [backup-simplify]: Simplify (+ 1 0) into 1 1.383 * [backup-simplify]: Simplify (sqrt 0) into 0 1.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.384 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [taylor]: Taking taylor expansion of 1.0 in N 1.384 * [backup-simplify]: Simplify 1.0 into 1.0 1.385 * [backup-simplify]: Simplify (+ 1 0) into 1 1.385 * [backup-simplify]: Simplify (sqrt 0) into 0 1.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.388 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.391 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.391 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- N)) 1.0)) into (sqrt (- 1.0 (/ 1 N))) 1.391 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in (N) around 0 1.391 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.391 * [taylor]: Taking taylor expansion of 1.0 in N 1.392 * [backup-simplify]: Simplify 1.0 into 1.0 1.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.392 * [taylor]: Taking taylor expansion of N in N 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.392 * [backup-simplify]: Simplify (- 1) into -1 1.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.392 * [backup-simplify]: Simplify (sqrt 0) into 0 1.393 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.393 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.393 * [taylor]: Taking taylor expansion of 1.0 in N 1.393 * [backup-simplify]: Simplify 1.0 into 1.0 1.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [backup-simplify]: Simplify (- 1) into -1 1.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.394 * [backup-simplify]: Simplify (sqrt 0) into 0 1.395 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.398 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.398 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.401 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.401 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.401 * * * [progress]: simplifying candidates 1.403 * [simplify]: Simplifying: (expm1 (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (log1p (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (* (sqrt (+ (pow N 3) (pow 1.0 3))) (sqrt (+ N 1.0)))) (log (* (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) N)) (log (* (sqrt (- (* N N) (* 1.0 1.0))) (sqrt (+ N 1.0)))) (log (* (sqrt (- N 1.0)) N)) (log (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0)))) (log N) (log (* (sqrt (+ (pow N 3) (pow 1.0 3))) (/ (sqrt (+ N 1.0)) N))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (* (sqrt (- (* N N) (* 1.0 1.0))) (/ (sqrt (+ N 1.0)) N))) (log (sqrt (- N 1.0))) (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (log (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (exp (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (cbrt (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))))) (cbrt (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (* (* (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (sqrt (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (sqrt (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (expm1 (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (log1p (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (exp (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (* (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N))) (* (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N))) (* (cbrt (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (cbrt (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)))) (cbrt (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (* (* (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (sqrt (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (sqrt (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N))) (* (sqrt (+ (pow N 3) (pow 1.0 3))) (sqrt (+ N 1.0))) (* (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) N) (* (sqrt (- (* N N) (* 1.0 1.0))) (sqrt (+ N 1.0))) (* (sqrt (- N 1.0)) N) (* (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N))) (* (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N))) (* (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (+ N 1.0)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (* (sqrt (+ N 1.0)) (sqrt (/ (sqrt (+ N 1.0)) N))) (* (sqrt (+ N 1.0)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N))) (* (sqrt (+ N 1.0)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)) (* (sqrt (+ N 1.0)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N))) (* (sqrt (+ N 1.0)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (* (sqrt (+ N 1.0)) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (+ N 1.0)) (/ (sqrt (sqrt (+ N 1.0))) 1)) (* (sqrt (+ N 1.0)) (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ (sqrt 1) (sqrt N))) (* (sqrt (+ N 1.0)) (/ (sqrt 1) 1)) (* (sqrt (+ N 1.0)) (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ (sqrt 1) (sqrt N))) (* (sqrt (+ N 1.0)) (/ (sqrt 1) 1)) (* (sqrt (+ N 1.0)) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (* (sqrt (+ N 1.0)) (/ (sqrt (sqrt (+ N 1.0))) 1)) (* (sqrt (+ N 1.0)) (/ 1 (* (cbrt N) (cbrt N)))) (* (sqrt (+ N 1.0)) (/ 1 (sqrt N))) (* (sqrt (+ N 1.0)) (/ 1 1)) (* (sqrt (+ N 1.0)) 1) (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (cbrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (* (sqrt (+ (pow N 3) (pow 1.0 3))) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (- (* N N) (* 1.0 1.0))) (/ (sqrt (+ N 1.0)) N)) (expm1 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (expm1 (sqrt (+ N 1.0))) (log1p (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (exp (sqrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (sqrt 1) (sqrt (+ N 1.0)) (sqrt 1) (sqrt (+ N 1.0)) (sqrt (+ (pow N 3) (pow 1.0 3))) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (sqrt (- (* N N) (* 1.0 1.0))) (sqrt (- N 1.0)) (/ 1 2) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (+ 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) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.404 * [simplify]: Sending expressions to egg_math: (expm1 (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (log1p (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)) (log (* (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ h0 h1)))) (log (* (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) h0)) (log (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)))) (log (* (sqrt (- h0 h1)) h0)) (log (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1)))) (log h0) (log (* (sqrt (+ (pow h0 3) (pow h1 3))) (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (log (* (sqrt (- (* h0 h0) (* h1 h1))) (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (- h0 h1))) (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (log (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (exp (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (* (cbrt (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (cbrt (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))))) (cbrt (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (* (* (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (sqrt (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (sqrt (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (expm1 (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (log1p (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)) (+ (log (sqrt (+ h0 h1))) (- (log (sqrt (+ h0 h1))) (log h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (log (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (exp (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (* (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (/ (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (* (* h0 h0) h0))) (* (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (* (* (/ (sqrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) h0)) (/ (sqrt (+ h0 h1)) h0))) (* (cbrt (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (cbrt (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)))) (cbrt (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (* (* (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)) (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (sqrt (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (sqrt (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0))) (* (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ h0 h1))) (* (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) h0) (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (* (sqrt (- h0 h1)) h0) (* (sqrt (sqrt (+ 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h1 (/ 1 h0)) 1) (- (+ (* 1/2 (/ 1 (sqrt h1))) (/ (sqrt h1) h0)) (* 1/8 (/ h0 (pow (sqrt h1) 3)))) (- (+ (* h4 (/ 1 (pow h0 3))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (* h4 (/ 1 h0))))))) (- (+ (* h4 (/ 1 (pow h0 3))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (* h4 (/ 1 h0))))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h4 (/ 1 h0)) (- (+ (* h4 (/ 1 (pow h0 2))) (- h4))))) (- (+ (* h4 (/ 1 h0)) (- (+ (* h4 (/ 1 (pow h0 2))) (- h4))))) 1.410 * * [simplify]: iteration 0 : 448 enodes (cost 1124 ) 1.417 * * [simplify]: iteration 1 : 1790 enodes (cost 1000 ) 1.448 * * [simplify]: iteration 2 : 5002 enodes (cost 931 ) 1.453 * * * [progress]: adding candidates to table 1.750 * [progress]: [Phase 3 of 3] Extracting. 1.750 * * [regime]: Finding splitpoints for: (# # # # # #) 1.751 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.751 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.775 * * * [regime]: Found split indices: #