5.067 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.051 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.053 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.056 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.087 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.087 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.087 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.087 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.088 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.088 * [taylor]: Taking taylor expansion of (log N) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (log 1) into 0 0.088 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.088 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.089 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.089 * [taylor]: Taking taylor expansion of (log N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (log 1) into 0 0.089 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.089 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.090 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.090 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.095 * [backup-simplify]: Simplify 1.0 into 1.0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [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)) 0.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.106 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.108 * [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))) 0.108 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.108 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (log 1) into 0 0.109 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (log 1) into 0 0.109 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of 1.0 in N 0.109 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.110 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.111 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.111 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.117 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [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 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.130 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [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 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [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 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.143 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.144 * [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)))) 0.144 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.144 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 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 0.144 * [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 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (- 1) into -1 0.146 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.147 * [backup-simplify]: Simplify (log -1) into (log -1) 0.147 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.147 * [taylor]: Taking taylor expansion of -1 in N 0.147 * [backup-simplify]: Simplify -1 into -1 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ -1 1) into -1 0.147 * [backup-simplify]: Simplify (log -1) into (log -1) 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.148 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.149 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.155 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [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 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.165 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [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 0.175 * [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 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [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 0.180 * [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) 0.180 * [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 0.181 * [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 0.190 * [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 0.192 * [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 0.192 * [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 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [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)) 0.194 * [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 0.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [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))) 0.205 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 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 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [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 0.207 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.210 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.215 * [backup-simplify]: Simplify -1.0 into -1.0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [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 0.222 * [backup-simplify]: Simplify -0.5 into -0.5 0.222 * [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)))) 0.222 * * * [progress]: simplifying candidates 0.223 * [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)))) 0.224 * [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)))) 0.228 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.233 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.249 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.343 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.345 * * * [progress]: adding candidates to table 0.467 * * [progress]: iteration 2 / 4 0.467 * * * [progress]: picking best candidate 0.474 * * * * [pick]: Picked # 0.474 * * * [progress]: localizing error 0.478 * * * [progress]: generating rewritten candidates 0.478 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.484 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.507 * * * [progress]: generating series expansions 0.507 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.507 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.507 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.507 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.507 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.507 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of 1.0 in N 0.507 * [backup-simplify]: Simplify 1.0 into 1.0 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.508 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.508 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.508 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.508 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.508 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [backup-simplify]: Simplify 1.0 into 1.0 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.509 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.509 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.510 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.510 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.511 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.520 * [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)) 0.521 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.522 * [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))) 0.522 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.522 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.522 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.522 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of 1.0 in N 0.522 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [backup-simplify]: Simplify (* 0 1) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.524 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.524 * [backup-simplify]: Simplify (log 1) into 0 0.524 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.524 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [backup-simplify]: Simplify 1.0 into 1.0 0.525 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [backup-simplify]: Simplify (* 0 1) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.526 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.526 * [backup-simplify]: Simplify (log 1) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.532 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.539 * [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 0.539 * [backup-simplify]: Simplify -0.5 into -0.5 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.550 * [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 0.550 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.550 * [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)))) 0.551 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.551 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.551 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.551 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.551 * [taylor]: Taking taylor expansion of -1 in N 0.551 * [backup-simplify]: Simplify -1 into -1 0.551 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.551 * [taylor]: Taking taylor expansion of 1.0 in N 0.551 * [backup-simplify]: Simplify 1.0 into 1.0 0.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (- 1) into -1 0.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.552 * [backup-simplify]: Simplify (* 0 -1) into 0 0.552 * [backup-simplify]: Simplify (* -1 0) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.553 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.554 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.554 * [backup-simplify]: Simplify (log 1) into 0 0.554 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.554 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.554 * [taylor]: Taking taylor expansion of -1 in N 0.554 * [backup-simplify]: Simplify -1 into -1 0.554 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.554 * [backup-simplify]: Simplify 1.0 into 1.0 0.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (- 1) into -1 0.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.555 * [backup-simplify]: Simplify (* 0 -1) into 0 0.555 * [backup-simplify]: Simplify (* -1 0) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- 0) into 0 0.556 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.557 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.557 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.557 * [backup-simplify]: Simplify (log 1) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.561 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.565 * [backup-simplify]: Simplify -1.0 into -1.0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.574 * [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 0.574 * [backup-simplify]: Simplify -0.5 into -0.5 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.589 * [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 0.589 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.589 * [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)))) 0.589 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.589 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.589 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.589 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of 1.0 in N 0.590 * [backup-simplify]: Simplify 1.0 into 1.0 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.590 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.590 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.590 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of 1.0 in N 0.590 * [backup-simplify]: Simplify 1.0 into 1.0 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.591 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.591 * [backup-simplify]: Simplify 1.0 into 1.0 0.591 * [backup-simplify]: Simplify (+ 1 0) into 1 0.592 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [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 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [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 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.597 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.597 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.597 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.597 * [taylor]: Taking taylor expansion of N in N 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.597 * [taylor]: Taking taylor expansion of N in N 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [taylor]: Taking taylor expansion of 1.0 in N 0.598 * [backup-simplify]: Simplify 1.0 into 1.0 0.598 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [taylor]: Taking taylor expansion of 1.0 in N 0.598 * [backup-simplify]: Simplify 1.0 into 1.0 0.598 * [backup-simplify]: Simplify (+ 1 0) into 1 0.598 * [backup-simplify]: Simplify (* 0 1) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.600 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [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 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [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 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.612 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.612 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [backup-simplify]: Simplify 1.0 into 1.0 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [backup-simplify]: Simplify 1.0 into 1.0 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [backup-simplify]: Simplify (- 1) into -1 0.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.613 * [backup-simplify]: Simplify (* 0 -1) into 0 0.613 * [backup-simplify]: Simplify (* -1 0) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.615 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.615 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.618 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.619 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [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 0.629 * [backup-simplify]: Simplify (- 0) into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [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 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.635 * * * [progress]: simplifying candidates 0.636 * [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) 0.637 * [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) 0.640 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.645 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.658 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.737 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.739 * * * [progress]: adding candidates to table 0.854 * * [progress]: iteration 3 / 4 0.855 * * * [progress]: picking best candidate 0.865 * * * * [pick]: Picked # 0.865 * * * [progress]: localizing error 0.874 * * * [progress]: generating rewritten candidates 0.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.892 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.897 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.897 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.897 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.897 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.897 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.897 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [backup-simplify]: Simplify 1.0 into 1.0 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.898 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.899 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.899 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.899 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.899 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [taylor]: Taking taylor expansion of 1.0 in N 0.899 * [backup-simplify]: Simplify 1.0 into 1.0 0.899 * [taylor]: Taking taylor expansion of N in N 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.899 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.900 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.901 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.901 * [backup-simplify]: Simplify (+ 1 0) into 1 0.901 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.904 * [backup-simplify]: Simplify 1.0 into 1.0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.910 * [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)) 0.911 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.912 * [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))) 0.912 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.912 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.912 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.912 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.912 * [taylor]: Taking taylor expansion of N in N 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.912 * [taylor]: Taking taylor expansion of N in N 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.913 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [backup-simplify]: Simplify 1.0 into 1.0 0.913 * [backup-simplify]: Simplify (+ 1 0) into 1 0.913 * [backup-simplify]: Simplify (* 0 1) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.914 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.914 * [backup-simplify]: Simplify (log 1) into 0 0.915 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.915 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.915 * [backup-simplify]: Simplify 1.0 into 1.0 0.915 * [backup-simplify]: Simplify (+ 1 0) into 1 0.915 * [backup-simplify]: Simplify (* 0 1) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.916 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.917 * [backup-simplify]: Simplify (log 1) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.922 * [backup-simplify]: Simplify 1.0 into 1.0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.929 * [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 0.929 * [backup-simplify]: Simplify -0.5 into -0.5 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.944 * [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 0.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.944 * [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)))) 0.944 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.944 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.944 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.944 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.944 * [taylor]: Taking taylor expansion of -1 in N 0.944 * [backup-simplify]: Simplify -1 into -1 0.944 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.944 * [taylor]: Taking taylor expansion of 1.0 in N 0.944 * [backup-simplify]: Simplify 1.0 into 1.0 0.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ 1 1) into 1 0.945 * [backup-simplify]: Simplify (- 1) into -1 0.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.945 * [backup-simplify]: Simplify (* 0 -1) into 0 0.946 * [backup-simplify]: Simplify (* -1 0) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.947 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.947 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.948 * [backup-simplify]: Simplify (log 1) into 0 0.948 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.948 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.948 * [taylor]: Taking taylor expansion of -1 in N 0.948 * [backup-simplify]: Simplify -1 into -1 0.948 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.948 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [backup-simplify]: Simplify 1.0 into 1.0 0.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [backup-simplify]: Simplify (- 1) into -1 0.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.949 * [backup-simplify]: Simplify (* 0 -1) into 0 0.949 * [backup-simplify]: Simplify (* -1 0) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.950 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.951 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.951 * [backup-simplify]: Simplify (log 1) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.954 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.959 * [backup-simplify]: Simplify -1.0 into -1.0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.961 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.967 * [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 0.967 * [backup-simplify]: Simplify -0.5 into -0.5 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (- 0) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.979 * [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 0.980 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.980 * [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)))) 0.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.980 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.980 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.980 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.980 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.980 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [backup-simplify]: Simplify 1.0 into 1.0 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.981 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.981 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.981 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.981 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.981 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.981 * [taylor]: Taking taylor expansion of N in N 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of 1.0 in N 0.981 * [backup-simplify]: Simplify 1.0 into 1.0 0.981 * [taylor]: Taking taylor expansion of N in N 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.982 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.982 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.983 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.983 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.983 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.986 * [backup-simplify]: Simplify 1.0 into 1.0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.992 * [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)) 0.993 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.994 * [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))) 0.994 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.994 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.994 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.994 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.994 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [backup-simplify]: Simplify 1.0 into 1.0 0.995 * [backup-simplify]: Simplify (+ 1 0) into 1 0.995 * [backup-simplify]: Simplify (* 0 1) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.996 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.996 * [backup-simplify]: Simplify (log 1) into 0 0.996 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.996 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.997 * [taylor]: Taking taylor expansion of 1.0 in N 0.997 * [backup-simplify]: Simplify 1.0 into 1.0 0.997 * [backup-simplify]: Simplify (+ 1 0) into 1 0.997 * [backup-simplify]: Simplify (* 0 1) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.998 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.999 * [backup-simplify]: Simplify (log 1) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.004 * [backup-simplify]: Simplify 1.0 into 1.0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.011 * [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 1.011 * [backup-simplify]: Simplify -0.5 into -0.5 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.025 * [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 1.025 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.026 * [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)))) 1.026 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.026 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.026 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.026 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.026 * [taylor]: Taking taylor expansion of -1 in N 1.026 * [backup-simplify]: Simplify -1 into -1 1.026 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.026 * [taylor]: Taking taylor expansion of N in N 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.026 * [taylor]: Taking taylor expansion of 1.0 in N 1.026 * [backup-simplify]: Simplify 1.0 into 1.0 1.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.026 * [taylor]: Taking taylor expansion of N in N 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [backup-simplify]: Simplify (- 1) into -1 1.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.027 * [backup-simplify]: Simplify (* 0 -1) into 0 1.027 * [backup-simplify]: Simplify (* -1 0) into 0 1.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.029 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.029 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.029 * [backup-simplify]: Simplify (log 1) into 0 1.029 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.029 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.029 * [taylor]: Taking taylor expansion of -1 in N 1.029 * [backup-simplify]: Simplify -1 into -1 1.029 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.029 * [taylor]: Taking taylor expansion of N in N 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.030 * [taylor]: Taking taylor expansion of 1.0 in N 1.030 * [backup-simplify]: Simplify 1.0 into 1.0 1.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.030 * [taylor]: Taking taylor expansion of N in N 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (/ 1 1) into 1 1.030 * [backup-simplify]: Simplify (- 1) into -1 1.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.031 * [backup-simplify]: Simplify (* 0 -1) into 0 1.031 * [backup-simplify]: Simplify (* -1 0) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.032 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.032 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.033 * [backup-simplify]: Simplify (log 1) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- 0) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.036 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.040 * [backup-simplify]: Simplify -1.0 into -1.0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (- 0) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.043 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.050 * [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 1.050 * [backup-simplify]: Simplify -0.5 into -0.5 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.062 * [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 1.062 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.063 * [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)))) 1.063 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.063 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.063 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.063 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.063 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.063 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of 1.0 in N 1.063 * [backup-simplify]: Simplify 1.0 into 1.0 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.064 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.064 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.064 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.064 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.064 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.064 * [taylor]: Taking taylor expansion of N in N 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [taylor]: Taking taylor expansion of 1.0 in N 1.064 * [backup-simplify]: Simplify 1.0 into 1.0 1.064 * [taylor]: Taking taylor expansion of N in N 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.065 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.065 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.065 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.066 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.066 * [backup-simplify]: Simplify (+ 1 0) into 1 1.066 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.069 * [backup-simplify]: Simplify 1.0 into 1.0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.075 * [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)) 1.076 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.077 * [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))) 1.077 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.077 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.077 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.077 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.077 * [taylor]: Taking taylor expansion of N in N 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.077 * [taylor]: Taking taylor expansion of N in N 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (/ 1 1) into 1 1.078 * [taylor]: Taking taylor expansion of 1.0 in N 1.078 * [backup-simplify]: Simplify 1.0 into 1.0 1.078 * [backup-simplify]: Simplify (+ 1 0) into 1 1.078 * [backup-simplify]: Simplify (* 0 1) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.079 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.080 * [backup-simplify]: Simplify (log 1) into 0 1.080 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.080 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [taylor]: Taking taylor expansion of 1.0 in N 1.080 * [backup-simplify]: Simplify 1.0 into 1.0 1.080 * [backup-simplify]: Simplify (+ 1 0) into 1 1.080 * [backup-simplify]: Simplify (* 0 1) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.081 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.082 * [backup-simplify]: Simplify (log 1) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.088 * [backup-simplify]: Simplify 1.0 into 1.0 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.095 * [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 1.095 * [backup-simplify]: Simplify -0.5 into -0.5 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.105 * [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 1.105 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.106 * [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)))) 1.106 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.106 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.106 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.106 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.106 * [taylor]: Taking taylor expansion of -1 in N 1.106 * [backup-simplify]: Simplify -1 into -1 1.106 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.106 * [taylor]: Taking taylor expansion of N in N 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.109 * [taylor]: Taking taylor expansion of 1.0 in N 1.109 * [backup-simplify]: Simplify 1.0 into 1.0 1.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [backup-simplify]: Simplify (- 1) into -1 1.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.110 * [backup-simplify]: Simplify (* 0 -1) into 0 1.110 * [backup-simplify]: Simplify (* -1 0) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.111 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.112 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.112 * [backup-simplify]: Simplify (log 1) into 0 1.112 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.112 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.112 * [taylor]: Taking taylor expansion of -1 in N 1.112 * [backup-simplify]: Simplify -1 into -1 1.112 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.112 * [taylor]: Taking taylor expansion of N in N 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.112 * [taylor]: Taking taylor expansion of 1.0 in N 1.112 * [backup-simplify]: Simplify 1.0 into 1.0 1.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.112 * [taylor]: Taking taylor expansion of N in N 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [backup-simplify]: Simplify (- 1) into -1 1.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.113 * [backup-simplify]: Simplify (* 0 -1) into 0 1.113 * [backup-simplify]: Simplify (* -1 0) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.115 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.115 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.115 * [backup-simplify]: Simplify (log 1) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (- 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.119 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.123 * [backup-simplify]: Simplify -1.0 into -1.0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- 0) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.132 * [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 1.132 * [backup-simplify]: Simplify -0.5 into -0.5 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.144 * [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 1.144 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.144 * [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)))) 1.144 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.144 * [backup-simplify]: Simplify (cbrt (log (/ (+ N 1.0) N))) into (pow (log (/ (+ N 1.0) N)) 1/3) 1.144 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in (N) around 0 1.144 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 1.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 1.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 1.145 * [taylor]: Taking taylor expansion of 1/3 in N 1.145 * [backup-simplify]: Simplify 1/3 into 1/3 1.145 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.145 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.145 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of 1.0 in N 1.145 * [backup-simplify]: Simplify 1.0 into 1.0 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.145 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.146 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.147 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 1.147 * [backup-simplify]: Simplify (* 1/3 (log (- (log 1.0) (log N)))) into (* 1/3 (log (- (log 1.0) (log N)))) 1.147 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log 1.0) (log N))))) into (pow (- (log 1.0) (log N)) 1/3) 1.147 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 1.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 1.148 * [taylor]: Taking taylor expansion of 1/3 in N 1.148 * [backup-simplify]: Simplify 1/3 into 1/3 1.148 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.148 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.148 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.148 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of 1.0 in N 1.148 * [backup-simplify]: Simplify 1.0 into 1.0 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.148 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.149 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.150 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 1.150 * [backup-simplify]: Simplify (* 1/3 (log (- (log 1.0) (log N)))) into (* 1/3 (log (- (log 1.0) (log N)))) 1.151 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log 1.0) (log N))))) into (pow (- (log 1.0) (log N)) 1/3) 1.151 * [backup-simplify]: Simplify (pow (- (log 1.0) (log N)) 1/3) into (pow (- (log 1.0) (log N)) 1/3) 1.152 * [backup-simplify]: Simplify (+ 1 0) into 1 1.152 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log 1.0) (log N)) 1)))) 1) into (/ 1.0 (- (log 1.0) (log N))) 1.157 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (- (log 1.0) (log N)))) (* 0 (log (- (log 1.0) (log N))))) into (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 1.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log 1.0) (log N))))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) 1.159 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) 1.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.165 * [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)) 1.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log 1.0) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (- (log 1.0) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1.171 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2)))))) (+ (* 0 (/ 1.0 (- (log 1.0) (log N)))) (* 0 (log (- (log 1.0) (log N)))))) into (- (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.16666666666666666 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1.173 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log 1.0) (log N))))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.16666666666666666 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) 1.174 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) into (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) 1.177 * [backup-simplify]: Simplify (+ (* (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) N) (pow (- (log 1.0) (log N)) 1/3))) into (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) 1.177 * [backup-simplify]: Simplify (cbrt (log (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) 1.177 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in (N) around 0 1.177 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.177 * [taylor]: Taking taylor expansion of 1/3 in N 1.177 * [backup-simplify]: Simplify 1/3 into 1/3 1.177 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.177 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.177 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.178 * [taylor]: Taking taylor expansion of 1.0 in N 1.178 * [backup-simplify]: Simplify 1.0 into 1.0 1.178 * [backup-simplify]: Simplify (+ 1 0) into 1 1.178 * [backup-simplify]: Simplify (* 0 1) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.179 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.179 * [backup-simplify]: Simplify (log 1) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.185 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.186 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.186 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.186 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.186 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 1.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.186 * [taylor]: Taking taylor expansion of 1/3 in N 1.186 * [backup-simplify]: Simplify 1/3 into 1/3 1.186 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.186 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.186 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.186 * [taylor]: Taking taylor expansion of N in N 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (/ 1 1) into 1 1.187 * [taylor]: Taking taylor expansion of 1.0 in N 1.187 * [backup-simplify]: Simplify 1.0 into 1.0 1.187 * [backup-simplify]: Simplify (+ 1 0) into 1 1.187 * [backup-simplify]: Simplify (* 0 1) into 0 1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.188 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.189 * [backup-simplify]: Simplify (log 1) into 0 1.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.197 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.198 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.198 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.199 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.199 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.206 * [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 1.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1.0 1)))) 1) into -0.5 1.210 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.211 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 1.213 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.213 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.224 * [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 1.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 1.232 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.236 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1.242 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 1.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 1.247 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 1.247 * [backup-simplify]: Simplify (cbrt (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) 1.247 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in (N) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.247 * [taylor]: Taking taylor expansion of 1/3 in N 1.247 * [backup-simplify]: Simplify 1/3 into 1/3 1.247 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.247 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.247 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.247 * [taylor]: Taking taylor expansion of -1 in N 1.247 * [backup-simplify]: Simplify -1 into -1 1.247 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.247 * [taylor]: Taking taylor expansion of N in N 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.247 * [taylor]: Taking taylor expansion of 1.0 in N 1.247 * [backup-simplify]: Simplify 1.0 into 1.0 1.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.247 * [taylor]: Taking taylor expansion of N in N 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [backup-simplify]: Simplify (- 1) into -1 1.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.248 * [backup-simplify]: Simplify (* 0 -1) into 0 1.248 * [backup-simplify]: Simplify (* -1 0) into 0 1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.250 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.250 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.250 * [backup-simplify]: Simplify (log 1) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.254 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.258 * [backup-simplify]: Simplify (log -1.0) into (log -1.0) 1.259 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.259 * [backup-simplify]: Simplify (* 1/3 (+ (log -1.0) (log N))) into (* 1/3 (+ (log -1.0) (log N))) 1.259 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 1.259 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.259 * [taylor]: Taking taylor expansion of 1/3 in N 1.259 * [backup-simplify]: Simplify 1/3 into 1/3 1.259 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.259 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.259 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.260 * [taylor]: Taking taylor expansion of -1 in N 1.260 * [backup-simplify]: Simplify -1 into -1 1.260 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 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 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 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 (/ 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 * [backup-simplify]: Simplify (- 1) into -1 1.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.261 * [backup-simplify]: Simplify (* 0 -1) into 0 1.261 * [backup-simplify]: Simplify (* -1 0) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.262 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.262 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.263 * [backup-simplify]: Simplify (log 1) into 0 1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.266 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.270 * [backup-simplify]: Simplify (log -1.0) into (log -1.0) 1.271 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.271 * [backup-simplify]: Simplify (* 1/3 (+ (log -1.0) (log N))) into (* 1/3 (+ (log -1.0) (log N))) 1.271 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 1.272 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 1.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.284 * [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 1.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow -1.0 1)))) 1) into 0.5 1.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.289 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log -1.0) (log N)))) into 0.16666666666666666 1.290 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) 1.290 * [backup-simplify]: Simplify (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) 1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.302 * [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 1.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow -1.0 2))) (* 1 (/ (* 1 (pow (* 2 -0.3333333333333333) 1)) (pow -1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) 1.311 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.314 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log -1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow -1.0 2)))) 1.320 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow -1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) 1.322 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) into (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) 1.325 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N)))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 1.325 * * * [progress]: simplifying candidates 1.327 * [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 (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 (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 (cbrt (log (/ (+ N 1.0) N)))) (log1p (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 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)))) (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 1.327 * [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 (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 (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 (cbrt (log (/ (+ h0 h1) h0)))) (log1p (cbrt (log (/ (+ h0 h1) h0)))) (log (cbrt (log (/ (+ h0 h1) h0)))) (exp (cbrt (log (/ (+ h0 h1) h0)))) (cbrt 1) (cbrt (log (/ (+ h0 h1) h0))) (cbrt (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0))))) (cbrt (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (sqrt (log (/ (+ h0 h1) h0)))) (cbrt (sqrt (log (/ (+ h0 h1) h0)))) (cbrt 1) (cbrt (log (/ (+ h0 h1) h0))) (* (cbrt (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (cbrt (log (/ (+ h0 h1) h0))))) (cbrt (cbrt (log (/ (+ h0 h1) h0)))) (* (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0)))) (sqrt (cbrt (log (/ (+ h0 h1) h0)))) (sqrt (cbrt (log (/ (+ h0 h1) h0)))) (- (+ (* 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))) (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))) (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)))) (- (+ (pow (- (log h1) (log h0)) 1/3) (* h3 (* h0 (pow (/ 1 (pow (- (log h1) (log h0)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow h0 2) (pow h1 2)) (pow (/ 1 (pow (- (log h1) (log h0)) 2)) 1/3))) (* h4 (* (pow h0 2) (pow (/ 1 (pow (- (log h1) (log h0)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) (* h7 (/ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) (pow h0 2)))) (+ (* h6 (/ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) (* (pow h0 2) (pow h1 2)))) (* h5 (/ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) h0)))) (- (+ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) (* h7 (/ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) (pow h0 2)))) (+ (* h5 (/ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) h0)) (* h6 (/ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) (* (pow h0 2) (pow h8 2)))))) 1.332 * * [simplify]: iteration 0 : 343 enodes (cost 849 ) 1.338 * * [simplify]: iteration 1 : 1069 enodes (cost 790 ) 1.357 * * [simplify]: iteration 2 : 4683 enodes (cost 729 ) 1.451 * * [simplify]: iteration 3 : 5001 enodes (cost 719 ) 1.455 * * * [progress]: adding candidates to table 1.730 * * [progress]: iteration 4 / 4 1.730 * * * [progress]: picking best candidate 1.741 * * * * [pick]: Picked # 1.741 * * * [progress]: localizing error 1.753 * * * [progress]: generating rewritten candidates 1.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.759 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.765 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.771 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.781 * * * [progress]: generating series expansions 1.781 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.781 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.781 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.781 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.781 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.781 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.781 * [taylor]: Taking taylor expansion of N in N 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [taylor]: Taking taylor expansion of 1.0 in N 1.781 * [backup-simplify]: Simplify 1.0 into 1.0 1.781 * [taylor]: Taking taylor expansion of N in N 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.782 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.783 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.783 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.783 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.783 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.783 * [taylor]: Taking taylor expansion of N in N 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of 1.0 in N 1.783 * [backup-simplify]: Simplify 1.0 into 1.0 1.783 * [taylor]: Taking taylor expansion of N in N 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.783 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.784 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.784 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.784 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.785 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.794 * [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)) 1.795 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.796 * [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))) 1.796 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.796 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.796 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.796 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.796 * [taylor]: Taking taylor expansion of N in N 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.796 * [taylor]: Taking taylor expansion of N in N 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [taylor]: Taking taylor expansion of 1.0 in N 1.797 * [backup-simplify]: Simplify 1.0 into 1.0 1.797 * [backup-simplify]: Simplify (+ 1 0) into 1 1.797 * [backup-simplify]: Simplify (* 0 1) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.802 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.802 * [backup-simplify]: Simplify (log 1) into 0 1.802 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.802 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [taylor]: Taking taylor expansion of 1.0 in N 1.802 * [backup-simplify]: Simplify 1.0 into 1.0 1.803 * [backup-simplify]: Simplify (+ 1 0) into 1 1.803 * [backup-simplify]: Simplify (* 0 1) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.804 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.804 * [backup-simplify]: Simplify (log 1) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.810 * [backup-simplify]: Simplify 1.0 into 1.0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.817 * [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 1.817 * [backup-simplify]: Simplify -0.5 into -0.5 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.827 * [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 1.827 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.827 * [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)))) 1.828 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.828 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.828 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.828 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.828 * [taylor]: Taking taylor expansion of -1 in N 1.828 * [backup-simplify]: Simplify -1 into -1 1.828 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.828 * [taylor]: Taking taylor expansion of 1.0 in N 1.828 * [backup-simplify]: Simplify 1.0 into 1.0 1.828 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [backup-simplify]: Simplify (- 1) into -1 1.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.829 * [backup-simplify]: Simplify (* 0 -1) into 0 1.829 * [backup-simplify]: Simplify (* -1 0) into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (- 0) into 0 1.830 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.830 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.831 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.831 * [backup-simplify]: Simplify (log 1) into 0 1.831 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.831 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.831 * [taylor]: Taking taylor expansion of -1 in N 1.831 * [backup-simplify]: Simplify -1 into -1 1.831 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.831 * [taylor]: Taking taylor expansion of 1.0 in N 1.831 * [backup-simplify]: Simplify 1.0 into 1.0 1.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [backup-simplify]: Simplify (- 1) into -1 1.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.832 * [backup-simplify]: Simplify (* 0 -1) into 0 1.832 * [backup-simplify]: Simplify (* -1 0) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.834 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.834 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.834 * [backup-simplify]: Simplify (log 1) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.838 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.842 * [backup-simplify]: Simplify -1.0 into -1.0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.850 * [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 1.850 * [backup-simplify]: Simplify -0.5 into -0.5 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.853 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.862 * [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 1.862 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.863 * [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)))) 1.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.863 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.863 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.863 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.863 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.863 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [backup-simplify]: Simplify 1.0 into 1.0 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.864 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.864 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.864 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.864 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.864 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.864 * [taylor]: Taking taylor expansion of N in N 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [taylor]: Taking taylor expansion of 1.0 in N 1.864 * [backup-simplify]: Simplify 1.0 into 1.0 1.864 * [taylor]: Taking taylor expansion of N in N 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.865 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.865 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.866 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.866 * [backup-simplify]: Simplify (+ 1 0) into 1 1.866 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.869 * [backup-simplify]: Simplify 1.0 into 1.0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.875 * [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)) 1.876 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.877 * [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))) 1.877 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.877 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.877 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.877 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.877 * [taylor]: Taking taylor expansion of N in N 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.877 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.877 * [taylor]: Taking taylor expansion of N in N 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of 1.0 in N 1.877 * [backup-simplify]: Simplify 1.0 into 1.0 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [backup-simplify]: Simplify (* 0 1) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.879 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.879 * [backup-simplify]: Simplify (log 1) into 0 1.879 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.879 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.879 * [taylor]: Taking taylor expansion of N in N 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.879 * [taylor]: Taking taylor expansion of N in N 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of 1.0 in N 1.880 * [backup-simplify]: Simplify 1.0 into 1.0 1.880 * [backup-simplify]: Simplify (+ 1 0) into 1 1.883 * [backup-simplify]: Simplify (* 0 1) into 0 1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.884 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.885 * [backup-simplify]: Simplify (log 1) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.890 * [backup-simplify]: Simplify 1.0 into 1.0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.897 * [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 1.897 * [backup-simplify]: Simplify -0.5 into -0.5 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.908 * [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 1.908 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.908 * [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)))) 1.908 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.908 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.908 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.908 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.908 * [taylor]: Taking taylor expansion of -1 in N 1.908 * [backup-simplify]: Simplify -1 into -1 1.908 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.908 * [taylor]: Taking taylor expansion of N in N 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.909 * [taylor]: Taking taylor expansion of 1.0 in N 1.909 * [backup-simplify]: Simplify 1.0 into 1.0 1.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.909 * [taylor]: Taking taylor expansion of N in N 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [backup-simplify]: Simplify (- 1) into -1 1.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.910 * [backup-simplify]: Simplify (* 0 -1) into 0 1.910 * [backup-simplify]: Simplify (* -1 0) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.911 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.911 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.912 * [backup-simplify]: Simplify (log 1) into 0 1.912 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.912 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.912 * [taylor]: Taking taylor expansion of -1 in N 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.912 * [taylor]: Taking taylor expansion of N in N 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.912 * [taylor]: Taking taylor expansion of 1.0 in N 1.912 * [backup-simplify]: Simplify 1.0 into 1.0 1.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.912 * [taylor]: Taking taylor expansion of N in N 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (- 1) into -1 1.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.913 * [backup-simplify]: Simplify (* 0 -1) into 0 1.913 * [backup-simplify]: Simplify (* -1 0) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.914 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.915 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.915 * [backup-simplify]: Simplify (log 1) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.919 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.923 * [backup-simplify]: Simplify -1.0 into -1.0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.931 * [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 1.931 * [backup-simplify]: Simplify -0.5 into -0.5 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.943 * [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 1.943 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.943 * [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)))) 1.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.943 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.943 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.943 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.943 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.943 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of 1.0 in N 1.943 * [backup-simplify]: Simplify 1.0 into 1.0 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.944 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.944 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.944 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.944 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.944 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of 1.0 in N 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.945 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.945 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.946 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.946 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.950 * [backup-simplify]: Simplify 1.0 into 1.0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.956 * [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)) 1.956 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.957 * [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))) 1.958 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.958 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.958 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.958 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.958 * [taylor]: Taking taylor expansion of N in N 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.958 * [taylor]: Taking taylor expansion of N in N 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of 1.0 in N 1.958 * [backup-simplify]: Simplify 1.0 into 1.0 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (* 0 1) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.960 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.960 * [backup-simplify]: Simplify (log 1) into 0 1.960 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.960 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.960 * [taylor]: Taking taylor expansion of N in N 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.960 * [taylor]: Taking taylor expansion of N in N 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of 1.0 in N 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.961 * [backup-simplify]: Simplify (+ 1 0) into 1 1.961 * [backup-simplify]: Simplify (* 0 1) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.962 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.962 * [backup-simplify]: Simplify (log 1) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.977 * [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 1.977 * [backup-simplify]: Simplify -0.5 into -0.5 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.987 * [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 1.987 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.988 * [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)))) 1.988 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.988 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.988 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.988 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.988 * [taylor]: Taking taylor expansion of -1 in N 1.988 * [backup-simplify]: Simplify -1 into -1 1.988 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.988 * [taylor]: Taking taylor expansion of N in N 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.988 * [taylor]: Taking taylor expansion of 1.0 in N 1.988 * [backup-simplify]: Simplify 1.0 into 1.0 1.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.988 * [taylor]: Taking taylor expansion of N in N 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [backup-simplify]: Simplify (- 1) into -1 1.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.989 * [backup-simplify]: Simplify (* 0 -1) into 0 1.989 * [backup-simplify]: Simplify (* -1 0) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.991 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.991 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.991 * [backup-simplify]: Simplify (log 1) into 0 1.991 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.991 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.991 * [taylor]: Taking taylor expansion of -1 in N 1.991 * [backup-simplify]: Simplify -1 into -1 1.991 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.991 * [taylor]: Taking taylor expansion of 1.0 in N 1.991 * [backup-simplify]: Simplify 1.0 into 1.0 1.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (- 1) into -1 1.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.992 * [backup-simplify]: Simplify (* 0 -1) into 0 1.993 * [backup-simplify]: Simplify (* -1 0) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.994 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.994 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.994 * [backup-simplify]: Simplify (log 1) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.998 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.002 * [backup-simplify]: Simplify -1.0 into -1.0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.010 * [backup-simplify]: Simplify -0.5 into -0.5 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.013 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.023 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.023 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.023 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.023 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.023 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.023 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.023 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.023 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.023 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.023 * [taylor]: Taking taylor expansion of N in N 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of 1.0 in N 2.023 * [backup-simplify]: Simplify 1.0 into 1.0 2.023 * [taylor]: Taking taylor expansion of N in N 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.024 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.024 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.024 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.024 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.024 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.024 * [taylor]: Taking taylor expansion of N in N 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [taylor]: Taking taylor expansion of 1.0 in N 2.024 * [backup-simplify]: Simplify 1.0 into 1.0 2.024 * [taylor]: Taking taylor expansion of N in N 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.025 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.025 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.026 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.026 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.029 * [backup-simplify]: Simplify 1.0 into 1.0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.036 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.037 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.037 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.037 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.037 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.037 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [taylor]: Taking taylor expansion of 1.0 in N 2.038 * [backup-simplify]: Simplify 1.0 into 1.0 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [backup-simplify]: Simplify (* 0 1) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.039 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.039 * [backup-simplify]: Simplify (log 1) into 0 2.039 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.039 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.039 * [taylor]: Taking taylor expansion of N in N 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.039 * [taylor]: Taking taylor expansion of N in N 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [taylor]: Taking taylor expansion of 1.0 in N 2.040 * [backup-simplify]: Simplify 1.0 into 1.0 2.040 * [backup-simplify]: Simplify (+ 1 0) into 1 2.040 * [backup-simplify]: Simplify (* 0 1) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.041 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.041 * [backup-simplify]: Simplify (log 1) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.053 * [backup-simplify]: Simplify 1.0 into 1.0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.061 * [backup-simplify]: Simplify -0.5 into -0.5 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.072 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.072 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.072 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.072 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.072 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.072 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.072 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.072 * [taylor]: Taking taylor expansion of -1 in N 2.072 * [backup-simplify]: Simplify -1 into -1 2.072 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.072 * [taylor]: Taking taylor expansion of N in N 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.072 * [taylor]: Taking taylor expansion of 1.0 in N 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (- 1) into -1 2.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.074 * [backup-simplify]: Simplify (* 0 -1) into 0 2.074 * [backup-simplify]: Simplify (* -1 0) into 0 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.075 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.075 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.075 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.076 * [backup-simplify]: Simplify (log 1) into 0 2.076 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.076 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.076 * [taylor]: Taking taylor expansion of -1 in N 2.076 * [backup-simplify]: Simplify -1 into -1 2.076 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.076 * [taylor]: Taking taylor expansion of N in N 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.076 * [taylor]: Taking taylor expansion of 1.0 in N 2.076 * [backup-simplify]: Simplify 1.0 into 1.0 2.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.076 * [taylor]: Taking taylor expansion of N in N 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [backup-simplify]: Simplify (- 1) into -1 2.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.077 * [backup-simplify]: Simplify (* 0 -1) into 0 2.077 * [backup-simplify]: Simplify (* -1 0) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.078 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.079 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.079 * [backup-simplify]: Simplify (log 1) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.082 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.086 * [backup-simplify]: Simplify -1.0 into -1.0 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (- 0) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.095 * [backup-simplify]: Simplify -0.5 into -0.5 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.107 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.107 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.107 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.108 * * * [progress]: simplifying candidates 2.110 * [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 (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 (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 (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 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)))) 2.110 * [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 (/ 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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) 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(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))) (- (+ (* 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))) (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))) (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))) (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)))) 2.114 * * [simplify]: iteration 0 : 172 enodes (cost 864 ) 2.118 * * [simplify]: iteration 1 : 471 enodes (cost 800 ) 2.126 * * [simplify]: iteration 2 : 2042 enodes (cost 760 ) 2.169 * * [simplify]: iteration 3 : 5002 enodes (cost 748 ) 2.173 * * * [progress]: adding candidates to table 2.551 * [progress]: [Phase 3 of 3] Extracting. 2.551 * * [regime]: Finding splitpoints for: (# # # # #) 2.553 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.553 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.586 * * * [regime]: Found split indices: #