5.226 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.043 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.081 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (log 1) into 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (log 1) into 0 0.083 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.083 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.083 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.083 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.098 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.100 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.100 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.100 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (log 1) into 0 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.103 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.104 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.104 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.109 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.118 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [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 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [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 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.131 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.131 * [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)))) 0.131 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.132 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.132 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [backup-simplify]: Simplify 1.0 into 1.0 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.133 * [backup-simplify]: Simplify (log -1) into (log -1) 0.133 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.133 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.133 * [taylor]: Taking taylor expansion of -1 in N 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ -1 1) into -1 0.133 * [backup-simplify]: Simplify (log -1) into (log -1) 0.133 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.133 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (- 1) into -1 0.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.134 * [backup-simplify]: Simplify (log -1) into (log -1) 0.134 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.134 * [taylor]: Taking taylor expansion of -1 in N 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ -1 1) into -1 0.135 * [backup-simplify]: Simplify (log -1) into (log -1) 0.135 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.136 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.136 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.137 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.143 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [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 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.152 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [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 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.172 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.173 * [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)))) 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.173 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.173 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [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)) 0.184 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.185 * [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)))) 0.185 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.185 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.187 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [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 0.197 * [backup-simplify]: Simplify -0.5 into -0.5 0.198 * [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)))) 0.198 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.198 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (- 1) into -1 0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.199 * [backup-simplify]: Simplify (log -1) into (log -1) 0.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (- 1) into -1 0.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.200 * [backup-simplify]: Simplify (log -1) into (log -1) 0.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.201 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.205 * [backup-simplify]: Simplify -1.0 into -1.0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [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 0.211 * [backup-simplify]: Simplify -0.5 into -0.5 0.212 * [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)))) 0.212 * * * [progress]: simplifying candidates 0.213 * [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)))) 0.214 * [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))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.218 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.223 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.239 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.332 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.334 * * * [progress]: adding candidates to table 0.456 * * [progress]: iteration 2 / 4 0.456 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.468 * * * [progress]: generating rewritten candidates 0.468 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.474 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.494 * * * [progress]: generating series expansions 0.494 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.494 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.494 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.494 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.494 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.494 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [backup-simplify]: Simplify 1.0 into 1.0 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.495 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.495 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.495 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.495 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.495 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.496 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.496 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.497 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.497 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.507 * [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)) 0.507 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.508 * [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))) 0.509 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.509 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.509 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.509 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of 1.0 in N 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.509 * [backup-simplify]: Simplify (+ 1 0) into 1 0.510 * [backup-simplify]: Simplify (* 0 1) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.511 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.511 * [backup-simplify]: Simplify (log 1) into 0 0.511 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.511 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of 1.0 in N 0.511 * [backup-simplify]: Simplify 1.0 into 1.0 0.512 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (* 0 1) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.513 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.513 * [backup-simplify]: Simplify (log 1) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.525 * [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 0.525 * [backup-simplify]: Simplify -0.5 into -0.5 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.540 * [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 0.540 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.540 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.541 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.541 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.541 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.541 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.541 * [taylor]: Taking taylor expansion of -1 in N 0.541 * [backup-simplify]: Simplify -1 into -1 0.541 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.541 * [backup-simplify]: Simplify 1.0 into 1.0 0.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (- 1) into -1 0.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.542 * [backup-simplify]: Simplify (* 0 -1) into 0 0.542 * [backup-simplify]: Simplify (* -1 0) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.543 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.544 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.544 * [backup-simplify]: Simplify (log 1) into 0 0.544 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.544 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.544 * [taylor]: Taking taylor expansion of -1 in N 0.544 * [backup-simplify]: Simplify -1 into -1 0.544 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.544 * [taylor]: Taking taylor expansion of 1.0 in N 0.544 * [backup-simplify]: Simplify 1.0 into 1.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (- 1) into -1 0.545 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.545 * [backup-simplify]: Simplify (* 0 -1) into 0 0.545 * [backup-simplify]: Simplify (* -1 0) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.546 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.547 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.547 * [backup-simplify]: Simplify (log 1) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.550 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.554 * [backup-simplify]: Simplify -1.0 into -1.0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.563 * [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 0.563 * [backup-simplify]: Simplify -0.5 into -0.5 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.574 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 0.575 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.575 * [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)))) 0.575 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.575 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.575 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.575 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.575 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of 1.0 in N 0.575 * [backup-simplify]: Simplify 1.0 into 1.0 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.576 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.576 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.576 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.576 * [taylor]: Taking taylor expansion of N in N 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [taylor]: Taking taylor expansion of 1.0 in N 0.576 * [backup-simplify]: Simplify 1.0 into 1.0 0.576 * [taylor]: Taking taylor expansion of N in N 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.576 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.577 * [backup-simplify]: Simplify 1.0 into 1.0 0.577 * [backup-simplify]: Simplify (+ 1 0) into 1 0.577 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.577 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [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 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [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 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.582 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.582 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of 1.0 in N 0.583 * [backup-simplify]: Simplify 1.0 into 1.0 0.583 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of 1.0 in N 0.583 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [backup-simplify]: Simplify (+ 1 0) into 1 0.584 * [backup-simplify]: Simplify (* 0 1) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.585 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [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 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.597 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.597 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.597 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.597 * [taylor]: Taking taylor expansion of -1 in N 0.597 * [backup-simplify]: Simplify -1 into -1 0.597 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 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 0.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.597 * [taylor]: Taking taylor expansion of 1.0 in N 0.597 * [backup-simplify]: Simplify 1.0 into 1.0 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 (* N (- 1.0 (/ 1 N)))) in N 0.598 * [taylor]: Taking taylor expansion of -1 in N 0.598 * [backup-simplify]: Simplify -1 into -1 0.598 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 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 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 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 (/ 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 * [backup-simplify]: Simplify (- 1) into -1 0.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.599 * [backup-simplify]: Simplify (* 0 -1) into 0 0.599 * [backup-simplify]: Simplify (* -1 0) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.600 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.601 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.604 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.604 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [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 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- 0) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.626 * * * [progress]: simplifying candidates 0.627 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.627 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.631 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.635 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.649 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.726 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.728 * * * [progress]: adding candidates to table 0.840 * * [progress]: iteration 3 / 4 0.840 * * * [progress]: picking best candidate 0.845 * * * * [pick]: Picked # 0.845 * * * [progress]: localizing error 0.854 * * * [progress]: generating rewritten candidates 0.854 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.871 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.891 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.919 * * * [progress]: generating series expansions 0.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.919 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 0.919 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.919 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.919 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.919 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.919 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of 1.0 in N 0.919 * [backup-simplify]: Simplify 1.0 into 1.0 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.920 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.921 * [backup-simplify]: Simplify (sqrt 0) into 0 0.922 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.922 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.922 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.922 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.922 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.922 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.922 * [taylor]: Taking taylor expansion of N in N 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [taylor]: Taking taylor expansion of 1.0 in N 0.922 * [backup-simplify]: Simplify 1.0 into 1.0 0.922 * [taylor]: Taking taylor expansion of N in N 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.923 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.923 * [backup-simplify]: Simplify (sqrt 0) into 0 0.924 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.924 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.924 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.924 * [backup-simplify]: Simplify (+ 1 0) into 1 0.925 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.927 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.931 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.940 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.941 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 0.941 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 0.941 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.941 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.941 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.941 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [taylor]: Taking taylor expansion of 1.0 in N 0.941 * [backup-simplify]: Simplify 1.0 into 1.0 0.941 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (* 0 1) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.943 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.943 * [backup-simplify]: Simplify (sqrt 1) into 1 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.946 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.946 * [backup-simplify]: Simplify (log 1) into 0 0.946 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.946 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.946 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [taylor]: Taking taylor expansion of 1.0 in N 0.946 * [backup-simplify]: Simplify 1.0 into 1.0 0.947 * [backup-simplify]: Simplify (+ 1 0) into 1 0.947 * [backup-simplify]: Simplify (* 0 1) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.948 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.948 * [backup-simplify]: Simplify (sqrt 1) into 1 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.956 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.956 * [backup-simplify]: Simplify (log 1) into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 0.960 * [backup-simplify]: Simplify 0.5 into 0.5 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 0.970 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 0.970 * [backup-simplify]: Simplify -0.25 into -0.25 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 0.987 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 0.987 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.987 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 0.987 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 0.987 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 0.987 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 0.987 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 0.987 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.987 * [taylor]: Taking taylor expansion of 1.0 in N 0.987 * [backup-simplify]: Simplify 1.0 into 1.0 0.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.987 * [taylor]: Taking taylor expansion of N in N 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [backup-simplify]: Simplify (- 1) into -1 0.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.988 * [backup-simplify]: Simplify (sqrt 0) into 0 0.989 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.989 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.989 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.989 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.989 * [taylor]: Taking taylor expansion of -1 in N 0.989 * [backup-simplify]: Simplify -1 into -1 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (/ -1 1) into -1 0.990 * [backup-simplify]: Simplify (sqrt 0) into 0 0.990 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.991 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.991 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.994 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.995 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 0.995 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.995 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 0.995 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 0.995 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [backup-simplify]: Simplify 1.0 into 1.0 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (- 1) into -1 0.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.996 * [backup-simplify]: Simplify (sqrt 0) into 0 0.997 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.997 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.997 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.997 * [taylor]: Taking taylor expansion of -1 in N 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of N in N 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ -1 1) into -1 0.997 * [backup-simplify]: Simplify (sqrt 0) into 0 0.998 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.998 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.999 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.002 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.002 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.003 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.003 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.008 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- 0) into 0 1.009 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.010 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.012 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.016 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.022 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.027 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 1.042 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.042 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.043 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 1.043 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.043 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.043 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.043 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.043 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.043 * [taylor]: Taking taylor expansion of N in N 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [taylor]: Taking taylor expansion of 1.0 in N 1.043 * [backup-simplify]: Simplify 1.0 into 1.0 1.043 * [taylor]: Taking taylor expansion of N in N 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.043 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.044 * [backup-simplify]: Simplify (sqrt 0) into 0 1.044 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.045 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.045 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.045 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.045 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.045 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [backup-simplify]: Simplify 1.0 into 1.0 1.045 * [taylor]: Taking taylor expansion of N in N 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.045 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.046 * [backup-simplify]: Simplify (sqrt 0) into 0 1.046 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.047 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.047 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.047 * [backup-simplify]: Simplify (+ 1 0) into 1 1.048 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.049 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.053 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.062 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.063 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 1.063 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 1.063 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.063 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.063 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.063 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 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 N) 1.0) in N 1.063 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 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 * [backup-simplify]: Simplify (+ 1 0) into 1 1.064 * [backup-simplify]: Simplify (* 0 1) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.065 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.065 * [backup-simplify]: Simplify (sqrt 1) into 1 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.068 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.068 * [backup-simplify]: Simplify (log 1) into 0 1.068 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.068 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.068 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of 1.0 in N 1.068 * [backup-simplify]: Simplify 1.0 into 1.0 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (* 0 1) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.070 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.070 * [backup-simplify]: Simplify (sqrt 1) into 1 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.073 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.073 * [backup-simplify]: Simplify (log 1) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 1.077 * [backup-simplify]: Simplify 0.5 into 0.5 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.087 * [backup-simplify]: Simplify -0.25 into -0.25 1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 1.104 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 1.104 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.104 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.104 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 1.104 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.104 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.104 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.104 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.104 * [taylor]: Taking taylor expansion of 1.0 in N 1.105 * [backup-simplify]: Simplify 1.0 into 1.0 1.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.105 * [taylor]: Taking taylor expansion of N in N 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (- 1) into -1 1.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.105 * [backup-simplify]: Simplify (sqrt 0) into 0 1.106 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.106 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.106 * [taylor]: Taking taylor expansion of (/ -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 in N 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ -1 1) into -1 1.107 * [backup-simplify]: Simplify (sqrt 0) into 0 1.108 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.108 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.108 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.111 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.112 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.113 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.113 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.113 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.113 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.113 * [taylor]: Taking taylor expansion of 1.0 in N 1.113 * [backup-simplify]: Simplify 1.0 into 1.0 1.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [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 1.114 * [backup-simplify]: Simplify (sqrt 0) into 0 1.114 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.114 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.114 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.114 * [taylor]: Taking taylor expansion of -1 in N 1.114 * [backup-simplify]: Simplify -1 into -1 1.114 * [taylor]: Taking taylor expansion of N in N 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ -1 1) into -1 1.115 * [backup-simplify]: Simplify (sqrt 0) into 0 1.116 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.116 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.116 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.125 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.126 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.126 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.127 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.131 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.134 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.136 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.146 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.151 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 1.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.161 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.161 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.161 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) (sqrt N)) into (sqrt (/ (+ N 1.0) N)) 1.161 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.161 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.161 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.161 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.161 * [taylor]: Taking taylor expansion of N in N 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [taylor]: Taking taylor expansion of 1.0 in N 1.162 * [backup-simplify]: Simplify 1.0 into 1.0 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.162 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.162 * [backup-simplify]: Simplify (sqrt 0) into 0 1.163 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.163 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.163 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [taylor]: Taking taylor expansion of 1.0 in N 1.163 * [backup-simplify]: Simplify 1.0 into 1.0 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.164 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.164 * [backup-simplify]: Simplify (sqrt 0) into 0 1.165 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.165 * [backup-simplify]: Simplify (+ 1 0) into 1 1.166 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.167 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.167 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.170 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.170 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.170 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.170 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.170 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.170 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.170 * [taylor]: Taking taylor expansion of N in N 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.170 * [taylor]: Taking taylor expansion of N in N 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (/ 1 1) into 1 1.171 * [taylor]: Taking taylor expansion of 1.0 in N 1.171 * [backup-simplify]: Simplify 1.0 into 1.0 1.171 * [backup-simplify]: Simplify (+ 1 0) into 1 1.171 * [backup-simplify]: Simplify (* 0 1) into 0 1.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.172 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.172 * [backup-simplify]: Simplify (sqrt 1) into 1 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.175 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.175 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.175 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.175 * [taylor]: Taking taylor expansion of N in N 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 1 into 1 1.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.175 * [taylor]: Taking taylor expansion of N in N 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (/ 1 1) into 1 1.176 * [taylor]: Taking taylor expansion of 1.0 in N 1.176 * [backup-simplify]: Simplify 1.0 into 1.0 1.176 * [backup-simplify]: Simplify (+ 1 0) into 1 1.176 * [backup-simplify]: Simplify (* 0 1) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.177 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.177 * [backup-simplify]: Simplify (sqrt 1) into 1 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.180 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify 0.5 into 0.5 1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.183 * [backup-simplify]: Simplify -0.125 into -0.125 1.184 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.184 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 1.184 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.184 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.184 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.184 * [taylor]: Taking taylor expansion of 1.0 in N 1.184 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.184 * [taylor]: Taking taylor expansion of N in N 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [backup-simplify]: Simplify (- 1) into -1 1.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.185 * [backup-simplify]: Simplify (sqrt 0) into 0 1.186 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.186 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.186 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.186 * [taylor]: Taking taylor expansion of -1 in N 1.186 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 1.186 * [backup-simplify]: Simplify (sqrt 0) into 0 1.187 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.187 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.187 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.187 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.187 * [taylor]: Taking taylor expansion of 1.0 in N 1.187 * [backup-simplify]: Simplify 1.0 into 1.0 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 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [backup-simplify]: Simplify (- 1) into -1 1.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.188 * [backup-simplify]: Simplify (sqrt 0) into 0 1.189 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.189 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.189 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.189 * [taylor]: Taking taylor expansion of -1 in N 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of N in N 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ -1 1) into -1 1.190 * [backup-simplify]: Simplify (sqrt 0) into 0 1.190 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.191 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.191 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.194 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.195 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.195 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.200 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.202 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.204 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.204 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.212 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.215 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.220 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.221 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.221 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.221 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.222 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) (sqrt N)) into (sqrt (/ (+ N 1.0) N)) 1.222 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.222 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.222 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.222 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.222 * [taylor]: Taking taylor expansion of N in N 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [taylor]: Taking taylor expansion of 1.0 in N 1.222 * [backup-simplify]: Simplify 1.0 into 1.0 1.222 * [taylor]: Taking taylor expansion of N in N 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.222 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.223 * [backup-simplify]: Simplify (sqrt 0) into 0 1.223 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.223 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.223 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.223 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.223 * [taylor]: Taking taylor expansion of N in N 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [taylor]: Taking taylor expansion of 1.0 in N 1.223 * [backup-simplify]: Simplify 1.0 into 1.0 1.223 * [taylor]: Taking taylor expansion of N in N 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.224 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.224 * [backup-simplify]: Simplify (sqrt 0) into 0 1.225 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.226 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.227 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.230 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.230 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.231 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.231 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.231 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.231 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.231 * [taylor]: Taking taylor expansion of N in N 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.231 * [taylor]: Taking taylor expansion of N in N 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [taylor]: Taking taylor expansion of 1.0 in N 1.231 * [backup-simplify]: Simplify 1.0 into 1.0 1.231 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (* 0 1) into 0 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.233 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.233 * [backup-simplify]: Simplify (sqrt 1) into 1 1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.236 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.236 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.236 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.236 * [taylor]: Taking taylor expansion of N in N 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.236 * [taylor]: Taking taylor expansion of N in N 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (/ 1 1) into 1 1.236 * [taylor]: Taking taylor expansion of 1.0 in N 1.236 * [backup-simplify]: Simplify 1.0 into 1.0 1.236 * [backup-simplify]: Simplify (+ 1 0) into 1 1.236 * [backup-simplify]: Simplify (* 0 1) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.238 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.238 * [backup-simplify]: Simplify (sqrt 1) into 1 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.241 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify 0.5 into 0.5 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.244 * [backup-simplify]: Simplify -0.125 into -0.125 1.244 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.244 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 1.244 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.244 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.244 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.244 * [taylor]: Taking taylor expansion of 1.0 in N 1.244 * [backup-simplify]: Simplify 1.0 into 1.0 1.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.244 * [taylor]: Taking taylor expansion of N in N 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [backup-simplify]: Simplify (- 1) into -1 1.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.245 * [backup-simplify]: Simplify (sqrt 0) into 0 1.246 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.246 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.246 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.246 * [taylor]: Taking taylor expansion of -1 in N 1.246 * [backup-simplify]: Simplify -1 into -1 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ -1 1) into -1 1.247 * [backup-simplify]: Simplify (sqrt 0) into 0 1.247 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.247 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.247 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.247 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [backup-simplify]: Simplify 1.0 into 1.0 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [backup-simplify]: Simplify (- 1) into -1 1.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.248 * [backup-simplify]: Simplify (sqrt 0) into 0 1.249 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.249 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.249 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.249 * [taylor]: Taking taylor expansion of -1 in N 1.249 * [backup-simplify]: Simplify -1 into -1 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ -1 1) into -1 1.250 * [backup-simplify]: Simplify (sqrt 0) into 0 1.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.251 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.251 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.254 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.255 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.255 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.259 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.262 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.264 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.264 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.269 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.275 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.275 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.276 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.276 * * * [progress]: simplifying candidates 1.281 * [simplify]: Simplifying: (expm1 (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log1p (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt 1))) (log (/ (cbrt (sqrt 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(/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (+ h0 h1) h0) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (- (sqrt (+ h0 h1))) (- (sqrt h0)) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0))) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0))) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt (sqrt h0))) (/ (cbrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt 1)) (/ (cbrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt (sqrt h0))) (/ (cbrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) 1) (/ (cbrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (cbrt 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(sqrt 1) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 h1)) (cbrt (sqrt h0))) (/ (sqrt 1) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 h1)) (sqrt (cbrt h0))) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ (sqrt 1) 1) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt 1) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 h1)) (cbrt (sqrt h0))) (/ (sqrt 1) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 h1)) (sqrt (cbrt h0))) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ (sqrt 1) 1) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (sqrt (+ h0 h1))) (cbrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (sqrt (+ h0 h1))) (sqrt (cbrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (sqrt 1)) (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 h1))) 1) (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)) (/ 1 (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 h1)) (cbrt (sqrt h0))) (/ 1 (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 h1)) (sqrt (cbrt h0))) (/ 1 (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ 1 (sqrt 1)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ 1 (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ 1 1) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ 1 (sqrt h0)) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt (+ h0 h1)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 h1)) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) (sqrt 1)) (/ (sqrt (+ h0 h1)) (sqrt (sqrt h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt h0) (cbrt (sqrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (cbrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (sqrt h0) (sqrt (- h0 h1))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (log (- h2)) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (log (- h2)) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ 1 (pow h0 2))) (- h2))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ 1 (pow h0 2))) (- h2))))) 1.290 * * [simplify]: iteration 0 : 389 enodes (cost 2712 ) 1.296 * * [simplify]: iteration 1 : 1182 enodes (cost 2592 ) 1.319 * * [simplify]: iteration 2 : 5001 enodes (cost 2440 ) 1.335 * * * [progress]: adding candidates to table 1.833 * * [progress]: iteration 4 / 4 1.833 * * * [progress]: picking best candidate 1.837 * * * * [pick]: Picked # 1.837 * * * [progress]: localizing error 1.856 * * * [progress]: generating rewritten candidates 1.856 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.869 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.883 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.891 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.940 * * * [progress]: generating series expansions 1.940 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.940 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 1.940 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 1.940 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.940 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.940 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.940 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.940 * [taylor]: Taking taylor expansion of 1/4 in N 1.940 * [backup-simplify]: Simplify 1/4 into 1/4 1.940 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.940 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.940 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.940 * [taylor]: Taking taylor expansion of N in N 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of 1.0 in N 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [taylor]: Taking taylor expansion of N in N 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.942 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.942 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.943 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.943 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 1.944 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 1.944 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 1.944 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.944 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.944 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.944 * [taylor]: Taking taylor expansion of 1/4 in N 1.944 * [backup-simplify]: Simplify 1/4 into 1/4 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 1.944 * [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) 1.945 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.946 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 1.946 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 1.946 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 1.947 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 1.947 * [backup-simplify]: Simplify (+ 1 0) into 1 1.948 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.951 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.952 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 1.954 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 1.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 1.954 * [backup-simplify]: Simplify 0.25 into 0.25 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.962 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 1.968 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 1.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 1.971 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 1.973 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 1.973 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (sqrt (sqrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 1.973 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 1.973 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.973 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.973 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.973 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.973 * [taylor]: Taking taylor expansion of 1/4 in N 1.973 * [backup-simplify]: Simplify 1/4 into 1/4 1.973 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.973 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.973 * [taylor]: Taking taylor expansion of N in N 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.973 * [taylor]: Taking taylor expansion of N in N 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of 1.0 in N 1.973 * [backup-simplify]: Simplify 1.0 into 1.0 1.974 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (* 0 1) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.975 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.975 * [backup-simplify]: Simplify (log 1) into 0 1.975 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.981 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 1.981 * [backup-simplify]: Simplify (exp 0) into 1 1.982 * [backup-simplify]: Simplify (log 1) into 0 1.982 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.982 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.982 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.982 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.982 * [taylor]: Taking taylor expansion of 1/4 in N 1.982 * [backup-simplify]: Simplify 1/4 into 1/4 1.982 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.982 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.982 * [taylor]: Taking taylor expansion of N in N 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.982 * [taylor]: Taking taylor expansion of N in N 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of 1.0 in N 1.982 * [backup-simplify]: Simplify 1.0 into 1.0 1.982 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (* 0 1) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.984 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.984 * [backup-simplify]: Simplify (log 1) into 0 1.984 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.998 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 1.998 * [backup-simplify]: Simplify (exp 0) into 1 1.998 * [backup-simplify]: Simplify (log 1) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 2.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 2.004 * [backup-simplify]: Simplify 0.25 into 0.25 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.011 * [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 2.012 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 2.015 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 2.023 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 2.023 * [backup-simplify]: Simplify -0.125 into -0.125 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.033 * [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 2.034 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 2.041 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 2.054 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 2.054 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 2.055 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 2.055 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (sqrt (sqrt (/ 1 (- N)))))) into (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) 2.055 * [approximate]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 2.055 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.055 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.055 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.055 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.055 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.055 * [taylor]: Taking taylor expansion of 1/4 in N 2.055 * [backup-simplify]: Simplify 1/4 into 1/4 2.055 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.055 * [taylor]: Taking taylor expansion of 1.0 in N 2.055 * [backup-simplify]: Simplify 1.0 into 1.0 2.055 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.055 * [taylor]: Taking taylor expansion of N in N 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [backup-simplify]: Simplify (- 1) into -1 2.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.056 * [backup-simplify]: Simplify (log -1) into (log -1) 2.057 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.057 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.057 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.057 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.057 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.057 * [taylor]: Taking taylor expansion of -1 in N 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [backup-simplify]: Simplify (sqrt 0) into 0 2.059 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.059 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.059 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.062 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.063 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.064 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.064 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.064 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.064 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.064 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.064 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.064 * [taylor]: Taking taylor expansion of 1/4 in N 2.065 * [backup-simplify]: Simplify 1/4 into 1/4 2.065 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.065 * [taylor]: Taking taylor expansion of 1.0 in N 2.065 * [backup-simplify]: Simplify 1.0 into 1.0 2.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.065 * [taylor]: Taking taylor expansion of N in N 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [backup-simplify]: Simplify (- 1) into -1 2.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.066 * [backup-simplify]: Simplify (log -1) into (log -1) 2.066 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.066 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.067 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.067 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.067 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.067 * [taylor]: Taking taylor expansion of -1 in N 2.067 * [backup-simplify]: Simplify -1 into -1 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (/ -1 1) into -1 2.067 * [backup-simplify]: Simplify (sqrt 0) into 0 2.068 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.068 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.068 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.071 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.073 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.073 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.074 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.081 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify (+ 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) (log N)) (log -1)) into (- (log -1) (log N)) 2.087 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 2.089 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 2.090 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 1) into (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) 2.095 * [backup-simplify]: Simplify (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) into (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) 2.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.100 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.103 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [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 2.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.111 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 2.115 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 2.121 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 2)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) 2.131 * [backup-simplify]: Simplify (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) into (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) 2.141 * [backup-simplify]: Simplify (+ (* (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) (/ 1 (- N))) (log (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))))) into (- (+ (* 0.25 (/ 1 N)) (log (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))))) (+ (* 0.125 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow N 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow N 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) N)))))))))) 2.141 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.141 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 2.141 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 2.141 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 2.141 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.142 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.142 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.142 * [taylor]: Taking taylor expansion of 1/4 in N 2.142 * [backup-simplify]: Simplify 1/4 into 1/4 2.142 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.142 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.142 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.142 * [taylor]: Taking taylor expansion of N in N 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [taylor]: Taking taylor expansion of 1.0 in N 2.142 * [backup-simplify]: Simplify 1.0 into 1.0 2.142 * [taylor]: Taking taylor expansion of N in N 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.142 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.143 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.143 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.143 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.144 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.144 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 2.144 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 2.144 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.144 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.144 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.144 * [taylor]: Taking taylor expansion of 1/4 in N 2.144 * [backup-simplify]: Simplify 1/4 into 1/4 2.144 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.144 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.144 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.144 * [taylor]: Taking taylor expansion of N in N 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [taylor]: Taking taylor expansion of 1.0 in N 2.144 * [backup-simplify]: Simplify 1.0 into 1.0 2.144 * [taylor]: Taking taylor expansion of N in N 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.145 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.145 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.146 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.146 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.146 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 2.147 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.147 * [backup-simplify]: Simplify (+ 1 0) into 1 2.148 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.151 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 2.153 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 2.154 * [backup-simplify]: Simplify 0.25 into 0.25 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.160 * [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)) 2.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.162 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 2.174 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 2.179 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 2.180 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 2.180 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (sqrt (sqrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 2.180 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 2.180 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 2.180 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.180 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.180 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.180 * [taylor]: Taking taylor expansion of 1/4 in N 2.180 * [backup-simplify]: Simplify 1/4 into 1/4 2.180 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.180 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [taylor]: Taking taylor expansion of 1.0 in N 2.180 * [backup-simplify]: Simplify 1.0 into 1.0 2.181 * [backup-simplify]: Simplify (+ 1 0) into 1 2.181 * [backup-simplify]: Simplify (* 0 1) into 0 2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.182 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.182 * [backup-simplify]: Simplify (log 1) into 0 2.182 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.189 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.189 * [backup-simplify]: Simplify (exp 0) into 1 2.189 * [backup-simplify]: Simplify (log 1) into 0 2.189 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 2.189 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.189 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.189 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.189 * [taylor]: Taking taylor expansion of 1/4 in N 2.189 * [backup-simplify]: Simplify 1/4 into 1/4 2.189 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.189 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.189 * [taylor]: Taking taylor expansion of N in N 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.189 * [taylor]: Taking taylor expansion of N in N 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [taylor]: Taking taylor expansion of 1.0 in N 2.189 * [backup-simplify]: Simplify 1.0 into 1.0 2.190 * [backup-simplify]: Simplify (+ 1 0) into 1 2.190 * [backup-simplify]: Simplify (* 0 1) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.191 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.191 * [backup-simplify]: Simplify (log 1) into 0 2.191 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.198 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.198 * [backup-simplify]: Simplify (exp 0) into 1 2.198 * [backup-simplify]: Simplify (log 1) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 2.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 2.203 * [backup-simplify]: Simplify 0.25 into 0.25 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.210 * [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 2.211 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 2.215 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 2.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 2.223 * [backup-simplify]: Simplify -0.125 into -0.125 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.233 * [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 2.234 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 2.241 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 2.261 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 2.262 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 2.262 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 2.262 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (sqrt (sqrt (/ 1 (- N)))))) into (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) 2.262 * [approximate]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 2.262 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.262 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.262 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.262 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.262 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.262 * [taylor]: Taking taylor expansion of 1/4 in N 2.262 * [backup-simplify]: Simplify 1/4 into 1/4 2.262 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.262 * [taylor]: Taking taylor expansion of 1.0 in N 2.262 * [backup-simplify]: Simplify 1.0 into 1.0 2.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.262 * [taylor]: Taking taylor expansion of N in N 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (- 1) into -1 2.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.263 * [backup-simplify]: Simplify (log -1) into (log -1) 2.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.264 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.264 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.264 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.264 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.264 * [taylor]: Taking taylor expansion of -1 in N 2.264 * [backup-simplify]: Simplify -1 into -1 2.264 * [taylor]: Taking taylor expansion of N in N 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (/ -1 1) into -1 2.265 * [backup-simplify]: Simplify (sqrt 0) into 0 2.266 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.266 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.266 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.270 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.271 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.271 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.272 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.272 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.272 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.272 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.272 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.272 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.272 * [taylor]: Taking taylor expansion of 1/4 in N 2.272 * [backup-simplify]: Simplify 1/4 into 1/4 2.272 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.272 * [taylor]: Taking taylor expansion of 1.0 in N 2.272 * [backup-simplify]: Simplify 1.0 into 1.0 2.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [backup-simplify]: Simplify (- 1) into -1 2.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.273 * [backup-simplify]: Simplify (log -1) into (log -1) 2.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.274 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.274 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.274 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.274 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.274 * [taylor]: Taking taylor expansion of -1 in N 2.274 * [backup-simplify]: Simplify -1 into -1 2.274 * [taylor]: Taking taylor expansion of N in N 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ -1 1) into -1 2.275 * [backup-simplify]: Simplify (sqrt 0) into 0 2.276 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.276 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.276 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.279 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.280 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.281 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.281 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.282 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.287 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.288 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 2.290 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 2.291 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 1) into (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) 2.296 * [backup-simplify]: Simplify (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) into (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) 2.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.301 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.304 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [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 2.311 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.312 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 2.316 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 2.321 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 2)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) 2.332 * [backup-simplify]: Simplify (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) into (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) 2.341 * [backup-simplify]: Simplify (+ (* (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) (/ 1 (- N))) (log (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))))) into (- (+ (* 0.25 (/ 1 N)) (log (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))))) (+ (* 0.125 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow N 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow N 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) N)))))))))) 2.341 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.342 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 2.342 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.342 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.342 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.342 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.342 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.342 * [taylor]: Taking taylor expansion of N in N 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of 1.0 in N 2.342 * [backup-simplify]: Simplify 1.0 into 1.0 2.342 * [taylor]: Taking taylor expansion of N in N 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.348 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.348 * [backup-simplify]: Simplify (sqrt 0) into 0 2.349 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 2.349 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.349 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.349 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.349 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.349 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.349 * [taylor]: Taking taylor expansion of N in N 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [taylor]: Taking taylor expansion of 1.0 in N 2.350 * [backup-simplify]: Simplify 1.0 into 1.0 2.350 * [taylor]: Taking taylor expansion of N in N 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.350 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.350 * [backup-simplify]: Simplify (sqrt 0) into 0 2.351 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 2.351 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.352 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.352 * [backup-simplify]: Simplify (+ 1 0) into 1 2.352 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.354 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 2.368 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.368 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 2.368 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 2.368 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.368 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.368 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.368 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.368 * [taylor]: Taking taylor expansion of N in N 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.369 * [taylor]: Taking taylor expansion of N in N 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [taylor]: Taking taylor expansion of 1.0 in N 2.369 * [backup-simplify]: Simplify 1.0 into 1.0 2.369 * [backup-simplify]: Simplify (+ 1 0) into 1 2.369 * [backup-simplify]: Simplify (* 0 1) into 0 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.370 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.371 * [backup-simplify]: Simplify (sqrt 1) into 1 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.373 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.374 * [backup-simplify]: Simplify (log 1) into 0 2.374 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.374 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.374 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.374 * [taylor]: Taking taylor expansion of N in N 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.374 * [taylor]: Taking taylor expansion of N in N 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (/ 1 1) into 1 2.374 * [taylor]: Taking taylor expansion of 1.0 in N 2.374 * [backup-simplify]: Simplify 1.0 into 1.0 2.374 * [backup-simplify]: Simplify (+ 1 0) into 1 2.375 * [backup-simplify]: Simplify (* 0 1) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.376 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.376 * [backup-simplify]: Simplify (sqrt 1) into 1 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.379 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.379 * [backup-simplify]: Simplify (log 1) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 2.382 * [backup-simplify]: Simplify 0.5 into 0.5 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.383 * [backup-simplify]: Simplify (+ 0 0) into 0 2.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 2.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 2.394 * [backup-simplify]: Simplify -0.25 into -0.25 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 2.410 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 2.410 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.411 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 2.411 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 2.411 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.411 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.411 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.411 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.411 * [taylor]: Taking taylor expansion of 1.0 in N 2.411 * [backup-simplify]: Simplify 1.0 into 1.0 2.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.411 * [taylor]: Taking taylor expansion of N in N 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (/ 1 1) into 1 2.412 * [backup-simplify]: Simplify (- 1) into -1 2.412 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.412 * [backup-simplify]: Simplify (sqrt 0) into 0 2.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.413 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.413 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.413 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.413 * [taylor]: Taking taylor expansion of -1 in N 2.413 * [backup-simplify]: Simplify -1 into -1 2.413 * [taylor]: Taking taylor expansion of N in N 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (/ -1 1) into -1 2.413 * [backup-simplify]: Simplify (sqrt 0) into 0 2.414 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.414 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.415 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 2.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.418 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.419 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 2.419 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.419 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.419 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.419 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.419 * [taylor]: Taking taylor expansion of 1.0 in N 2.419 * [backup-simplify]: Simplify 1.0 into 1.0 2.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.419 * [taylor]: Taking taylor expansion of N in N 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [backup-simplify]: Simplify (- 1) into -1 2.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.420 * [backup-simplify]: Simplify (sqrt 0) into 0 2.421 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.421 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.421 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.421 * [taylor]: Taking taylor expansion of -1 in N 2.421 * [backup-simplify]: Simplify -1 into -1 2.421 * [taylor]: Taking taylor expansion of N in N 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (/ -1 1) into -1 2.422 * [backup-simplify]: Simplify (sqrt 0) into 0 2.422 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.423 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.423 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 2.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.426 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.427 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 2.427 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.428 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.438 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.439 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.441 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.443 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 2.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.447 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.453 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.459 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 2.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 2.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.468 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.468 * [backup-simplify]: Simplify (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) into (pow (/ (+ N 1.0) N) 1/4) 2.468 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in (N) around 0 2.468 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.468 * [taylor]: Taking taylor expansion of 1/4 in N 2.469 * [backup-simplify]: Simplify 1/4 into 1/4 2.469 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.469 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.469 * [taylor]: Taking taylor expansion of N in N 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of 1.0 in N 2.469 * [backup-simplify]: Simplify 1.0 into 1.0 2.469 * [taylor]: Taking taylor expansion of N in N 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.469 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.469 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.470 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.470 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.470 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.471 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.471 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.471 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.471 * [taylor]: Taking taylor expansion of 1/4 in N 2.471 * [backup-simplify]: Simplify 1/4 into 1/4 2.471 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.471 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.471 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of 1.0 in N 2.471 * [backup-simplify]: Simplify 1.0 into 1.0 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.471 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.471 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.472 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.473 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.473 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.473 * [backup-simplify]: Simplify (+ 1 0) into 1 2.474 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.477 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.477 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 2.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.479 * [backup-simplify]: Simplify (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.485 * [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)) 2.486 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.487 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 2.493 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.495 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.497 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) (pow N 2)) (+ (* (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) N) (exp (* 1/4 (- (log 1.0) (log N)))))) into (- (+ (* 0.25 (* N (exp (* 1/4 (- (log 1.0) (log N)))))) (+ (exp (* 1/4 (- (log 1.0) (log N)))) (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 2.498 * [backup-simplify]: Simplify (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (sqrt (sqrt (/ 1 N)))) into (pow (* N (+ (/ 1 N) 1.0)) 1/4) 2.498 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in (N) around 0 2.498 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.498 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.498 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.498 * [taylor]: Taking taylor expansion of 1/4 in N 2.498 * [backup-simplify]: Simplify 1/4 into 1/4 2.498 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.498 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.498 * [taylor]: Taking taylor expansion of N in N 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.498 * [taylor]: Taking taylor expansion of N in N 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [backup-simplify]: Simplify (/ 1 1) into 1 2.498 * [taylor]: Taking taylor expansion of 1.0 in N 2.498 * [backup-simplify]: Simplify 1.0 into 1.0 2.498 * [backup-simplify]: Simplify (+ 1 0) into 1 2.499 * [backup-simplify]: Simplify (* 0 1) into 0 2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.500 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.500 * [backup-simplify]: Simplify (log 1) into 0 2.500 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.506 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.506 * [backup-simplify]: Simplify (exp 0) into 1 2.506 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.506 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.506 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.506 * [taylor]: Taking taylor expansion of 1/4 in N 2.506 * [backup-simplify]: Simplify 1/4 into 1/4 2.506 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.506 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.506 * [taylor]: Taking taylor expansion of N in N 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 1 into 1 2.506 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.506 * [taylor]: Taking taylor expansion of N in N 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (/ 1 1) into 1 2.507 * [taylor]: Taking taylor expansion of 1.0 in N 2.507 * [backup-simplify]: Simplify 1.0 into 1.0 2.507 * [backup-simplify]: Simplify (+ 1 0) into 1 2.507 * [backup-simplify]: Simplify (* 0 1) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.508 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.508 * [backup-simplify]: Simplify (log 1) into 0 2.509 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.515 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.515 * [backup-simplify]: Simplify (exp 0) into 1 2.515 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 2.517 * [backup-simplify]: Simplify 0.25 into 0.25 2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.530 * [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 2.531 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 2.535 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 2.535 * [backup-simplify]: Simplify -0.09375 into -0.09375 2.535 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 N) 2)) (+ (* 0.25 (/ 1 N)) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 2.536 * [backup-simplify]: Simplify (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (sqrt (sqrt (/ 1 (- N))))) into (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) 2.536 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.536 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.536 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.536 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.536 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.536 * [taylor]: Taking taylor expansion of 1/4 in N 2.536 * [backup-simplify]: Simplify 1/4 into 1/4 2.536 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.536 * [taylor]: Taking taylor expansion of 1.0 in N 2.536 * [backup-simplify]: Simplify 1.0 into 1.0 2.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.536 * [taylor]: Taking taylor expansion of N in N 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (/ 1 1) into 1 2.536 * [backup-simplify]: Simplify (- 1) into -1 2.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.537 * [backup-simplify]: Simplify (log -1) into (log -1) 2.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.538 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.538 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.538 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.538 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.538 * [taylor]: Taking taylor expansion of -1 in N 2.538 * [backup-simplify]: Simplify -1 into -1 2.538 * [taylor]: Taking taylor expansion of N in N 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (/ -1 1) into -1 2.538 * [backup-simplify]: Simplify (sqrt 0) into 0 2.539 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.539 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.540 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.543 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.544 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.544 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.544 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.544 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.544 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.544 * [taylor]: Taking taylor expansion of 1/4 in N 2.544 * [backup-simplify]: Simplify 1/4 into 1/4 2.544 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.544 * [taylor]: Taking taylor expansion of 1.0 in N 2.544 * [backup-simplify]: Simplify 1.0 into 1.0 2.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.544 * [taylor]: Taking taylor expansion of N in N 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (/ 1 1) into 1 2.545 * [backup-simplify]: Simplify (- 1) into -1 2.545 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.545 * [backup-simplify]: Simplify (log -1) into (log -1) 2.546 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.546 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.546 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.546 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.546 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.546 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.546 * [taylor]: Taking taylor expansion of -1 in N 2.546 * [backup-simplify]: Simplify -1 into -1 2.546 * [taylor]: Taking taylor expansion of N in N 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 1 into 1 2.546 * [backup-simplify]: Simplify (/ -1 1) into -1 2.547 * [backup-simplify]: Simplify (sqrt 0) into 0 2.547 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.548 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.548 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.551 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.552 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.552 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.553 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.558 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 2.560 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 2.561 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.563 * [backup-simplify]: Simplify (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.567 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.570 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (- 0) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.577 * [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 2.578 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.578 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 2.582 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 2.587 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.589 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.594 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0)))))) (pow (/ 1 (- N)) 2)) (+ (* (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0)))))) (/ 1 (- N))) (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0)))) into (- (+ (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))) (* 0.25 (/ (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))) N))) (+ (* 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(* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (* (pow (sqrt h5) 3) (pow h0 2))))))))) 2.627 * * [simplify]: iteration 0 : 896 enodes (cost 6046 ) 2.639 * * [simplify]: iteration 1 : 2885 enodes (cost 5869 ) 2.680 * * [simplify]: iteration 2 : 5001 enodes (cost 5531 ) 2.701 * * * [progress]: adding candidates to table 3.533 * [progress]: [Phase 3 of 3] Extracting. 3.533 * * [regime]: Finding splitpoints for: (# # #) 3.534 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.534 * * * * [regimes]: Trying to branch on N from (# # #) 3.556 * * * [regime]: Found split indices: #