20.616 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.072 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.075 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.075 * * [simplify]: iteration 0: 6 enodes 0.076 * * [simplify]: iteration 1: 9 enodes 0.077 * * [simplify]: iteration 2: 10 enodes 0.078 * * [simplify]: iteration complete: 10 enodes 0.078 * * [simplify]: Extracting #0: cost 1 inf + 0 0.078 * * [simplify]: Extracting #1: cost 4 inf + 0 0.078 * * [simplify]: Extracting #2: cost 6 inf + 0 0.078 * * [simplify]: Extracting #3: cost 6 inf + 1 0.078 * * [simplify]: Extracting #4: cost 0 inf + 21 0.078 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.138 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.138 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.139 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.141 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.141 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.142 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.143 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [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)) 0.188 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.188 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.188 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.193 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [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 0.212 * [backup-simplify]: Simplify -0.5 into -0.5 0.213 * [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)))) 0.213 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.213 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.213 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (- 1) into -1 0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.215 * [backup-simplify]: Simplify (log -1) into (log -1) 0.215 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (- 1) into -1 0.216 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.218 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.226 * [backup-simplify]: Simplify -1.0 into -1.0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [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 0.238 * [backup-simplify]: Simplify -0.5 into -0.5 0.239 * [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)))) 0.239 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.239 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.239 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.239 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.239 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.240 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.240 * [taylor]: Taking taylor expansion of (log N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (log 1) into 0 0.241 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.241 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.241 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.242 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.242 * [taylor]: Taking taylor expansion of (log N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.243 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.243 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.243 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [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)) 0.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.268 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.271 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.271 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.271 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (log 1) into 0 0.273 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (log 1) into 0 0.274 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.274 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of 1.0 in N 0.274 * [backup-simplify]: Simplify 1.0 into 1.0 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (log 1) into 0 0.275 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (log 1) into 0 0.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.277 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.277 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [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 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.302 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [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 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [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 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.332 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.333 * [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)))) 0.333 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.333 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.333 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.333 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.333 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.335 * [backup-simplify]: Simplify (log -1) into (log -1) 0.335 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.335 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.335 * [taylor]: Taking taylor expansion of -1 in N 0.335 * [backup-simplify]: Simplify -1 into -1 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ -1 1) into -1 0.336 * [backup-simplify]: Simplify (log -1) into (log -1) 0.336 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.336 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.336 * [taylor]: Taking taylor expansion of 1.0 in N 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.336 * [taylor]: Taking taylor expansion of N in N 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (- 1) into -1 0.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.338 * [backup-simplify]: Simplify (log -1) into (log -1) 0.338 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.338 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.338 * [taylor]: Taking taylor expansion of -1 in N 0.338 * [backup-simplify]: Simplify -1 into -1 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ -1 1) into -1 0.339 * [backup-simplify]: Simplify (log -1) into (log -1) 0.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.342 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.343 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.354 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [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 0.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.372 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [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 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [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 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.399 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.401 * [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)))) 0.401 * * * [progress]: simplifying candidates 0.403 * [simplify]: Simplifying: (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (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 (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (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 (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (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 (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ 1.0 N)) (- (* (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 (+ 1.0 N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ 1.0 N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 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)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.406 * * [simplify]: iteration 0: 126 enodes 0.453 * * [simplify]: iteration 1: 287 enodes 0.623 * * [simplify]: iteration 2: 1091 enodes 1.534 * * [simplify]: iteration complete: 5000 enodes 1.534 * * [simplify]: Extracting #0: cost 45 inf + 0 1.538 * * [simplify]: Extracting #1: cost 843 inf + 1 1.547 * * [simplify]: Extracting #2: cost 1511 inf + 118 1.564 * * [simplify]: Extracting #3: cost 1039 inf + 3068 1.575 * * [simplify]: Extracting #4: cost 293 inf + 8168 1.585 * * [simplify]: Extracting #5: cost 38 inf + 10913 1.591 * * [simplify]: Extracting #6: cost 5 inf + 11181 1.597 * * [simplify]: Extracting #7: cost 0 inf + 11206 1.602 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (fma 1.0 1.0 (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (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)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma 1.0 1.0 (* N (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (fma -1/2 (/ N (/ (* 1.0 1.0) N)) (fma N 1.0 (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (+ (/ 1.0 N) (- (log -1) (/ (/ 0.5 N) N))) (log (/ -1 N))) (fma N 1.0 (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 1.603 * * * [progress]: adding candidates to table 1.944 * * [progress]: iteration 2 / 4 1.944 * * * [progress]: picking best candidate 1.959 * * * * [pick]: Picked # 1.959 * * * [progress]: localizing error 1.975 * * * [progress]: generating rewritten candidates 1.975 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.985 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.012 * * * [progress]: generating series expansions 2.012 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.012 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.012 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.012 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.012 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.012 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [taylor]: Taking taylor expansion of 1.0 in N 2.012 * [backup-simplify]: Simplify 1.0 into 1.0 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.014 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.014 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.014 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.014 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.014 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of 1.0 in N 2.014 * [backup-simplify]: Simplify 1.0 into 1.0 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.015 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.015 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.016 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.016 * [backup-simplify]: Simplify (+ 1 0) into 1 2.017 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.020 * [backup-simplify]: Simplify 1.0 into 1.0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.027 * [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)) 2.028 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.029 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.029 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.029 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.029 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.029 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.029 * [taylor]: Taking taylor expansion of N in N 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.029 * [taylor]: Taking taylor expansion of N in N 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [taylor]: Taking taylor expansion of 1.0 in N 2.029 * [backup-simplify]: Simplify 1.0 into 1.0 2.030 * [backup-simplify]: Simplify (+ 1 0) into 1 2.030 * [backup-simplify]: Simplify (* 0 1) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.031 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.031 * [backup-simplify]: Simplify (log 1) into 0 2.031 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.031 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.032 * [taylor]: Taking taylor expansion of N in N 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.032 * [taylor]: Taking taylor expansion of N in N 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [taylor]: Taking taylor expansion of 1.0 in N 2.032 * [backup-simplify]: Simplify 1.0 into 1.0 2.032 * [backup-simplify]: Simplify (+ 1 0) into 1 2.032 * [backup-simplify]: Simplify (* 0 1) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.034 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.035 * [backup-simplify]: Simplify (log 1) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.045 * [backup-simplify]: Simplify 1.0 into 1.0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.056 * [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 2.057 * [backup-simplify]: Simplify -0.5 into -0.5 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.068 * [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 2.069 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.069 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.069 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.069 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.069 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.069 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.069 * [taylor]: Taking taylor expansion of -1 in N 2.069 * [backup-simplify]: Simplify -1 into -1 2.069 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.069 * [taylor]: Taking taylor expansion of 1.0 in N 2.069 * [backup-simplify]: Simplify 1.0 into 1.0 2.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [backup-simplify]: Simplify (- 1) into -1 2.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.070 * [backup-simplify]: Simplify (* 0 -1) into 0 2.070 * [backup-simplify]: Simplify (* -1 0) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.072 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.072 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.073 * [backup-simplify]: Simplify (log 1) into 0 2.073 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.073 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.073 * [taylor]: Taking taylor expansion of -1 in N 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.073 * [taylor]: Taking taylor expansion of 1.0 in N 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (- 1) into -1 2.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.074 * [backup-simplify]: Simplify (* 0 -1) into 0 2.074 * [backup-simplify]: Simplify (* -1 0) into 0 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (- 0) into 0 2.075 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.075 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.076 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.076 * [backup-simplify]: Simplify (log 1) into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.080 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.084 * [backup-simplify]: Simplify -1.0 into -1.0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.099 * [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 2.099 * [backup-simplify]: Simplify -0.5 into -0.5 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.125 * [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 2.125 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.126 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.126 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.126 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.126 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.126 * [taylor]: Taking taylor expansion of N in N 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [taylor]: Taking taylor expansion of 1.0 in N 2.126 * [backup-simplify]: Simplify 1.0 into 1.0 2.126 * [taylor]: Taking taylor expansion of N in N 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.127 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.128 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.128 * [taylor]: Taking taylor expansion of N in N 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [taylor]: Taking taylor expansion of 1.0 in N 2.128 * [backup-simplify]: Simplify 1.0 into 1.0 2.128 * [taylor]: Taking taylor expansion of N in N 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.129 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.129 * [backup-simplify]: Simplify 1.0 into 1.0 2.130 * [backup-simplify]: Simplify (+ 1 0) into 1 2.131 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [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 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [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 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.142 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.142 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.142 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.143 * [taylor]: Taking taylor expansion of N in N 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.143 * [taylor]: Taking taylor expansion of N in N 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of 1.0 in N 2.143 * [backup-simplify]: Simplify 1.0 into 1.0 2.143 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.143 * [taylor]: Taking taylor expansion of N in N 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.143 * [taylor]: Taking taylor expansion of N in N 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (/ 1 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 * [backup-simplify]: Simplify (+ 1 0) into 1 2.145 * [backup-simplify]: Simplify (* 0 1) into 0 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.147 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.147 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.151 * [backup-simplify]: Simplify 1.0 into 1.0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.163 * [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 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.166 * [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 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.170 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.170 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.170 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.170 * [taylor]: Taking taylor expansion of -1 in N 2.170 * [backup-simplify]: Simplify -1 into -1 2.170 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.170 * [taylor]: Taking taylor expansion of N in N 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.170 * [taylor]: Taking taylor expansion of 1.0 in N 2.170 * [backup-simplify]: Simplify 1.0 into 1.0 2.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.170 * [taylor]: Taking taylor expansion of N in N 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.170 * [taylor]: Taking taylor expansion of -1 in N 2.170 * [backup-simplify]: Simplify -1 into -1 2.171 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.171 * [taylor]: Taking taylor expansion of 1.0 in N 2.171 * [backup-simplify]: Simplify 1.0 into 1.0 2.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [backup-simplify]: Simplify (- 1) into -1 2.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.172 * [backup-simplify]: Simplify (* 0 -1) into 0 2.173 * [backup-simplify]: Simplify (* -1 0) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.175 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.176 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.176 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.184 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.185 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (- 0) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.201 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.202 * [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 2.202 * [backup-simplify]: Simplify (- 0) into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [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 2.206 * [backup-simplify]: Simplify (- 0) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.209 * * * [progress]: simplifying candidates 2.210 * [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)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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) 2.211 * * [simplify]: iteration 0: 112 enodes 2.245 * * [simplify]: iteration 1: 252 enodes 2.403 * * [simplify]: iteration 2: 1063 enodes 2.824 * * [simplify]: iteration complete: 5001 enodes 2.824 * * [simplify]: Extracting #0: cost 67 inf + 0 2.825 * * [simplify]: Extracting #1: cost 504 inf + 2 2.829 * * [simplify]: Extracting #2: cost 1432 inf + 630 2.835 * * [simplify]: Extracting #3: cost 1583 inf + 6570 2.844 * * [simplify]: Extracting #4: cost 123 inf + 16593 2.852 * * [simplify]: Extracting #5: cost 18 inf + 17215 2.862 * * [simplify]: Extracting #6: cost 0 inf + 17342 2.879 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (- N) 1.0) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* (- N 1.0) N) (- (fma N 1.0 (log 1.0)) (fma (/ 1/2 1.0) (/ (* N N) 1.0) (log N))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.880 * * * [progress]: adding candidates to table 3.141 * * [progress]: iteration 3 / 4 3.141 * * * [progress]: picking best candidate 3.156 * * * * [pick]: Picked # 3.156 * * * [progress]: localizing error 3.209 * * * [progress]: generating rewritten candidates 3.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 2 2) 3.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 1) 3.224 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.314 * * * [progress]: generating series expansions 3.314 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 2 2) 3.314 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.315 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.315 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.315 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.315 * [taylor]: Taking taylor expansion of N in N 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [taylor]: Taking taylor expansion of 1.0 in N 3.315 * [backup-simplify]: Simplify 1.0 into 1.0 3.315 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.315 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.316 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.316 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.316 * [taylor]: Taking taylor expansion of N in N 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of 1.0 in N 3.316 * [backup-simplify]: Simplify 1.0 into 1.0 3.316 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.316 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.317 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.317 * [backup-simplify]: Simplify (+ 1 0) into 1 3.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.322 * [backup-simplify]: Simplify 1.0 into 1.0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [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)) 3.332 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.334 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 3.334 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.334 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.334 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.334 * [taylor]: Taking taylor expansion of N in N 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.335 * [backup-simplify]: Simplify (/ 1 1) into 1 3.335 * [taylor]: Taking taylor expansion of 1.0 in N 3.335 * [backup-simplify]: Simplify 1.0 into 1.0 3.335 * [backup-simplify]: Simplify (+ 1 0) into 1 3.335 * [backup-simplify]: Simplify (log 1) into 0 3.335 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.335 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.335 * [taylor]: Taking taylor expansion of N in N 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (/ 1 1) into 1 3.336 * [taylor]: Taking taylor expansion of 1.0 in N 3.336 * [backup-simplify]: Simplify 1.0 into 1.0 3.336 * [backup-simplify]: Simplify (+ 1 0) into 1 3.337 * [backup-simplify]: Simplify (log 1) into 0 3.337 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.337 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.344 * [backup-simplify]: Simplify 1.0 into 1.0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.352 * [backup-simplify]: Simplify -0.5 into -0.5 3.352 * [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)))) 3.353 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.353 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.353 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.353 * [taylor]: Taking taylor expansion of 1.0 in N 3.353 * [backup-simplify]: Simplify 1.0 into 1.0 3.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.353 * [taylor]: Taking taylor expansion of N in N 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.353 * [backup-simplify]: Simplify (- 1) into -1 3.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.354 * [backup-simplify]: Simplify (log -1) into (log -1) 3.354 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.354 * [taylor]: Taking taylor expansion of 1.0 in N 3.354 * [backup-simplify]: Simplify 1.0 into 1.0 3.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.354 * [taylor]: Taking taylor expansion of N in N 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (- 1) into -1 3.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.355 * [backup-simplify]: Simplify (log -1) into (log -1) 3.355 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.356 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (- 0) into 0 3.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.360 * [backup-simplify]: Simplify -1.0 into -1.0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.368 * [backup-simplify]: Simplify -0.5 into -0.5 3.368 * [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)))) 3.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 1) 3.368 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.368 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.368 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.369 * [taylor]: Taking taylor expansion of N in N 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of 1.0 in N 3.369 * [backup-simplify]: Simplify 1.0 into 1.0 3.369 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.369 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.369 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.369 * [taylor]: Taking taylor expansion of N in N 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of 1.0 in N 3.369 * [backup-simplify]: Simplify 1.0 into 1.0 3.370 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.370 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.370 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.370 * [backup-simplify]: Simplify (+ 1 0) into 1 3.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.374 * [backup-simplify]: Simplify 1.0 into 1.0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [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)) 3.396 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.398 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 3.398 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.398 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.398 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.398 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.398 * [taylor]: Taking taylor expansion of N in N 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of 1.0 in N 3.399 * [backup-simplify]: Simplify 1.0 into 1.0 3.399 * [backup-simplify]: Simplify (+ 1 0) into 1 3.400 * [backup-simplify]: Simplify (log 1) into 0 3.400 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.400 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.400 * [taylor]: Taking taylor expansion of N in N 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [taylor]: Taking taylor expansion of 1.0 in N 3.400 * [backup-simplify]: Simplify 1.0 into 1.0 3.401 * [backup-simplify]: Simplify (+ 1 0) into 1 3.401 * [backup-simplify]: Simplify (log 1) into 0 3.402 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.402 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.410 * [backup-simplify]: Simplify 1.0 into 1.0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.420 * [backup-simplify]: Simplify -0.5 into -0.5 3.421 * [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)))) 3.421 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.421 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.421 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.421 * [taylor]: Taking taylor expansion of 1.0 in N 3.421 * [backup-simplify]: Simplify 1.0 into 1.0 3.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [backup-simplify]: Simplify (- 1) into -1 3.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.422 * [backup-simplify]: Simplify (log -1) into (log -1) 3.422 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.422 * [taylor]: Taking taylor expansion of 1.0 in N 3.422 * [backup-simplify]: Simplify 1.0 into 1.0 3.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (- 1) into -1 3.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.423 * [backup-simplify]: Simplify (log -1) into (log -1) 3.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.424 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.429 * [backup-simplify]: Simplify -1.0 into -1.0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.436 * [backup-simplify]: Simplify -0.5 into -0.5 3.437 * [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)))) 3.437 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.437 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 3.437 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.437 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.437 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.437 * [taylor]: Taking taylor expansion of N in N 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [taylor]: Taking taylor expansion of 1.0 in N 3.437 * [backup-simplify]: Simplify 1.0 into 1.0 3.437 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.437 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.437 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.437 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.437 * [taylor]: Taking taylor expansion of N in N 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of 1.0 in N 3.438 * [backup-simplify]: Simplify 1.0 into 1.0 3.438 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.438 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.438 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.439 * [backup-simplify]: Simplify (+ 1 0) into 1 3.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.442 * [backup-simplify]: Simplify 1.0 into 1.0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.450 * [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)) 3.451 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.453 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 3.453 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 3.453 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.453 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.453 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.453 * [taylor]: Taking taylor expansion of N in N 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [taylor]: Taking taylor expansion of 1.0 in N 3.454 * [backup-simplify]: Simplify 1.0 into 1.0 3.454 * [backup-simplify]: Simplify (+ 1 0) into 1 3.455 * [backup-simplify]: Simplify (log 1) into 0 3.455 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.455 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.455 * [taylor]: Taking taylor expansion of N in N 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (/ 1 1) into 1 3.455 * [taylor]: Taking taylor expansion of 1.0 in N 3.455 * [backup-simplify]: Simplify 1.0 into 1.0 3.456 * [backup-simplify]: Simplify (+ 1 0) into 1 3.456 * [backup-simplify]: Simplify (log 1) into 0 3.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.457 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.465 * [backup-simplify]: Simplify 1.0 into 1.0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.477 * [backup-simplify]: Simplify -0.5 into -0.5 3.477 * [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)))) 3.478 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.478 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.478 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.478 * [taylor]: Taking taylor expansion of 1.0 in N 3.478 * [backup-simplify]: Simplify 1.0 into 1.0 3.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.478 * [taylor]: Taking taylor expansion of N in N 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.478 * [backup-simplify]: Simplify (- 1) into -1 3.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.479 * [backup-simplify]: Simplify (log -1) into (log -1) 3.479 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.479 * [taylor]: Taking taylor expansion of 1.0 in N 3.479 * [backup-simplify]: Simplify 1.0 into 1.0 3.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.479 * [taylor]: Taking taylor expansion of N in N 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [backup-simplify]: Simplify (- 1) into -1 3.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.481 * [backup-simplify]: Simplify (log -1) into (log -1) 3.482 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.482 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (- 0) into 0 3.483 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.489 * [backup-simplify]: Simplify -1.0 into -1.0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (- 0) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.501 * [backup-simplify]: Simplify -0.5 into -0.5 3.502 * [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)))) 3.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.502 * [backup-simplify]: Simplify (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) into (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3.502 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 3.502 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 3.502 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 3.503 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.503 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of 1.0 in N 3.503 * [backup-simplify]: Simplify 1.0 into 1.0 3.503 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.503 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.504 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 3.504 * [taylor]: Taking taylor expansion of (log N) in N 3.504 * [taylor]: Taking taylor expansion of N in N 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (log 1) into 0 3.505 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.505 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 3.505 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 3.505 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.505 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.505 * [taylor]: Taking taylor expansion of N in N 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of 1.0 in N 3.505 * [backup-simplify]: Simplify 1.0 into 1.0 3.505 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.506 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.506 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 3.506 * [taylor]: Taking taylor expansion of (log N) in N 3.506 * [taylor]: Taking taylor expansion of N in N 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (log 1) into 0 3.507 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.517 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 3.519 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 3.520 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.520 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.521 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.521 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 3.521 * [backup-simplify]: Simplify (* (log N) (pow (log N) 2)) into (pow (log N) 3) 3.521 * [backup-simplify]: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) 3.523 * [backup-simplify]: Simplify (+ (pow (log 1.0) 3) (- (pow (log N) 3))) into (- (pow (log 1.0) 3) (pow (log N) 3)) 3.525 * [backup-simplify]: Simplify (- (pow (log 1.0) 3) (pow (log N) 3)) into (- (pow (log 1.0) 3) (pow (log N) 3)) 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.532 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 3.534 * [backup-simplify]: Simplify (+ (* (log 1.0) (* 2.0 (log 1.0))) (* 1.0 (pow (log 1.0) 2))) into (* 3.0 (pow (log 1.0) 2)) 3.535 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.535 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.536 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.536 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 3.536 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (pow (log N) 2))) into 0 3.537 * [backup-simplify]: Simplify (- 0) into 0 3.538 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log 1.0) 2)) 0) into (* 3.0 (pow (log 1.0) 2)) 3.539 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.545 * [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)) 3.549 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 3.556 * [backup-simplify]: Simplify (+ (* (log 1.0) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* 1.0 (* 2.0 (log 1.0))) (* (/ -1/2 (pow 1.0 2)) (pow (log 1.0) 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.557 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.557 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.559 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.559 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 3.560 * [backup-simplify]: Simplify (- 0) into 0 3.566 * [backup-simplify]: Simplify (+ (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 0) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.571 * [backup-simplify]: Simplify (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.580 * [backup-simplify]: Simplify (+ (* (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) (pow N 2)) (+ (* (* 3.0 (pow (log 1.0) 2)) N) (- (pow (log 1.0) 3) (pow (log N) 3)))) into (- (+ (pow (log 1.0) 3) (+ (* 3.0 (* (log 1.0) (pow N 2))) (* 3.0 (* (pow (log 1.0) 2) N)))) (+ (pow (log N) 3) (* 3/2 (/ (* (pow (log 1.0) 2) (pow N 2)) (pow 1.0 2))))) 3.581 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) into (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) 3.581 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 3.581 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 3.581 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 3.581 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.581 * [taylor]: Taking taylor expansion of N in N 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.582 * [backup-simplify]: Simplify (/ 1 1) into 1 3.582 * [taylor]: Taking taylor expansion of 1.0 in N 3.582 * [backup-simplify]: Simplify 1.0 into 1.0 3.582 * [backup-simplify]: Simplify (+ 1 0) into 1 3.582 * [backup-simplify]: Simplify (log 1) into 0 3.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.583 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 3.583 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.583 * [taylor]: Taking taylor expansion of N in N 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [backup-simplify]: Simplify (log 1) into 0 3.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.584 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 3.584 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 3.584 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.584 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.584 * [taylor]: Taking taylor expansion of N in N 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [taylor]: Taking taylor expansion of 1.0 in N 3.585 * [backup-simplify]: Simplify 1.0 into 1.0 3.585 * [backup-simplify]: Simplify (+ 1 0) into 1 3.585 * [backup-simplify]: Simplify (log 1) into 0 3.586 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.586 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 3.586 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.586 * [taylor]: Taking taylor expansion of N in N 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (/ 1 1) into 1 3.586 * [backup-simplify]: Simplify (log 1) into 0 3.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.588 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.588 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.588 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.588 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 3.589 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.589 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.590 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.590 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.590 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 3.590 * [backup-simplify]: Simplify (- (* -1 (pow (log N) 3))) into (pow (log N) 3) 3.590 * [backup-simplify]: Simplify (+ (* -1 (pow (log N) 3)) (pow (log N) 3)) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.591 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.598 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.598 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 3.599 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 3.599 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.602 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.602 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 3.602 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (pow (log N) 2))) into 0 3.603 * [backup-simplify]: Simplify (- 0) into 0 3.603 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log N) 2)) 0) into (* 3.0 (pow (log N) 2)) 3.603 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 3.603 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.604 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.616 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ (* 1.0 (log N)) 1.0) 3.616 * [backup-simplify]: Simplify (+ (* (- (log N)) (+ (* 1.0 (log N)) 1.0)) (+ (* 1.0 (- (* 2.0 (log N)))) (* -0.5 (pow (log N) 2)))) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.622 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.622 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 3.622 * [backup-simplify]: Simplify (- 0) into 0 3.623 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 0) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.623 * [backup-simplify]: Simplify (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.647 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.648 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 3.649 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (+ (* 0.6666666666666666 (log N)) 1.0))) (+ (* 1.0 (+ (* 1.0 (log N)) 1.0)) (+ (* -0.5 (- (* 2.0 (log N)))) (* 0.3333333333333333 (pow (log N) 2))))) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [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 3.653 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.654 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.654 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log N) 2))))) into 0 3.655 * [backup-simplify]: Simplify (- 0) into 0 3.655 * [backup-simplify]: Simplify (+ (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 0) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.655 * [backup-simplify]: Simplify (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.657 * [backup-simplify]: Simplify (+ (* (+ (* 3.0 (log (/ 1 N))) (+ (* 1.0 (pow (log (/ 1 N)) 2)) 1.0)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3.0 (log (/ 1 N))) (* 1.5 (pow (log (/ 1 N)) 2)))) (pow (/ 1 N) 2)) (* (* 3.0 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)))))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 2))) (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) 3.657 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 (- N)) 1.0)) 3) (pow (log (/ 1 (- N))) 3)) into (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) 3.657 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 3.657 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 3.657 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 3.657 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.657 * [taylor]: Taking taylor expansion of 1.0 in N 3.657 * [backup-simplify]: Simplify 1.0 into 1.0 3.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.657 * [taylor]: Taking taylor expansion of N in N 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [backup-simplify]: Simplify (- 1) into -1 3.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.658 * [backup-simplify]: Simplify (log -1) into (log -1) 3.659 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.659 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 3.659 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.659 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.659 * [taylor]: Taking taylor expansion of -1 in N 3.659 * [backup-simplify]: Simplify -1 into -1 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ -1 1) into -1 3.659 * [backup-simplify]: Simplify (log -1) into (log -1) 3.660 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.660 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 3.660 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 3.660 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.660 * [taylor]: Taking taylor expansion of 1.0 in N 3.660 * [backup-simplify]: Simplify 1.0 into 1.0 3.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.660 * [taylor]: Taking taylor expansion of N in N 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.661 * [backup-simplify]: Simplify (- 1) into -1 3.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.661 * [backup-simplify]: Simplify (log -1) into (log -1) 3.662 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.662 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 3.662 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.662 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.662 * [taylor]: Taking taylor expansion of -1 in N 3.662 * [backup-simplify]: Simplify -1 into -1 3.662 * [taylor]: Taking taylor expansion of N in N 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (/ -1 1) into -1 3.662 * [backup-simplify]: Simplify (log -1) into (log -1) 3.663 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.663 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.664 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.664 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.665 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.666 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 3.666 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.667 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.667 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.668 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.668 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 3.669 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3))) 3.671 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3)))) into 0 3.671 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.672 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (- 0) into 0 3.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.678 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.679 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 3.680 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -1.0 (pow (- (log -1) (log N)) 2))) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.681 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.682 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.685 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.686 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 3.688 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (pow (- (log -1) (log N)) 2))) into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify (+ (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 0) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.695 * [backup-simplify]: Simplify (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.696 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.697 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (- 0) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.708 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.709 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 3.711 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* -1.0 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.5 (pow (- (log -1) (log N)) 2)))) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.715 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.716 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 3.717 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2)))) into 0 3.717 * [backup-simplify]: Simplify (- 0) into 0 3.719 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 0) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.721 * [backup-simplify]: Simplify (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (- 0) into 0 3.723 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 3.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.738 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 3.743 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1)))) (+ (* -1.0 (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* -0.5 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.3333333333333333 (pow (- (log -1) (log N)) 2))))) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.744 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [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 3.760 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.762 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 3.764 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2))))) into 0 3.764 * [backup-simplify]: Simplify (- 0) into 0 3.768 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 0) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.772 * [backup-simplify]: Simplify (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.783 * [backup-simplify]: Simplify (+ (* (- (+ (* 2.0 (* (log (/ 1 (- N))) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (+ (* 1.0 (pow (log (/ 1 (- N))) 2)) 1.0)))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3.0 (* (log (/ 1 (- N))) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (* 1.5 (pow (log (/ 1 (- N))) 2))))) (pow (/ 1 (- N)) 2)) (* (- (* 6.0 (* (log (/ 1 (- N))) (log -1))) (+ (* 3.0 (pow (log (/ 1 (- N))) 2)) (* 3.0 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 2))) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 3.0 (/ (log -1) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3.0 (/ (pow (log -1) 2) N)) (* 1.0 (/ (pow (log -1) 2) (pow N 3)))))))))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 2))) (+ (* 2.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 3))) (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))))))))) 3.784 * * * [progress]: simplifying candidates 3.796 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (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) (* 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Extracting #2: cost 969 inf + 264 6.024 * * [simplify]: Extracting #3: cost 820 inf + 2992 6.036 * * [simplify]: Extracting #4: cost 362 inf + 8217 6.044 * * [simplify]: Extracting #5: cost 90 inf + 11288 6.050 * * [simplify]: Extracting #6: cost 18 inf + 14226 6.056 * * [simplify]: Extracting #7: cost 0 inf + 15667 6.062 * * [simplify]: Extracting #8: cost 0 inf + 15623 6.069 * * [simplify]: Extracting #9: cost 0 inf + 15612 6.083 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma 1.0 (- 1.0 N) (pow N 2))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) 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(log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (sqrt (log N)) 6)) (+ (pow (sqrt (log N)) 6) (- (pow (sqrt (log N)) 6))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) 0) (expm1 (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log1p (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (fma (+ (log N) (log (+ N 1.0))) (log N) (pow (cbrt (log (+ N 1.0))) 6)) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (fma (pow (log N) 3) (+ (pow (log N) 3) (pow (log (+ N 1.0)) 3)) (pow (log (+ N 1.0)) 6)) (- (pow (log N) 3)) (- (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (+ (pow (log N) 3) (pow (log (+ N 1.0)) 3)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (fma (sqrt (log N)) (log N) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (fma (sqrt (log N)) (log N) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (fma (sqrt (log N)) (log N) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log N) 3)) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (fma 1.0 N (log 1.0)) (/ 1/2 (/ (pow 1.0 2) (pow N 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (- (+ (log -1) (/ 1.0 N)) (log (/ -1 N))) (/ (/ 0.5 N) N)) (- (fma 1.0 N (log 1.0)) (/ 1/2 (/ (pow 1.0 2) (pow N 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (- (+ (log -1) (/ 1.0 N)) (log (/ -1 N))) (/ (/ 0.5 N) N)) (- (fma 1.0 N (log 1.0)) (/ 1/2 (/ (pow 1.0 2) (pow N 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (- (+ (log -1) (/ 1.0 N)) (log (/ -1 N))) (/ (/ 0.5 N) N)) (- (fma 3.0 (fma (pow N 2) (log 1.0) (* (pow (log 1.0) 2) N)) (pow (log 1.0) 3)) (fma 3/2 (/ (pow (log 1.0) 2) (/ (pow 1.0 2) (pow N 2))) (pow (log N) 3))) (- (+ (fma 3.0 (/ (* (log N) (log N)) N) (/ 1.0 (pow N 3))) (fma 1.0 (/ (* (log N) (log N)) (pow N 3)) (/ (* 3.0 (- (log N))) (pow N 3)))) (fma 1.5 (/ (* (log N) (log N)) (pow N 2)) (/ (* (- (log N)) 3.0) (pow N 2)))) (- (+ (fma 3.0 (fma (/ (log (/ -1 N)) N) (/ (log -1) N) (/ (log (/ -1 N)) (pow N 3))) (fma (/ (log -1) (pow N 2)) 3.0 (/ (* (pow (log (/ -1 N)) 2) 1.0) (pow N 3)))) (+ (/ 1.0 (pow N 3)) (fma 3.0 (+ (/ (pow (log (/ -1 N)) 2) N) (/ (pow (log -1) 2) N)) (/ 1.0 (/ (pow N 3) (pow (log -1) 2)))))) (fma (/ (pow (log -1) 2) (pow N 2)) 1.5 (fma (/ (log -1) (pow N 3)) 3.0 (fma 6.0 (/ (log (/ -1 N)) (/ N (log -1))) (fma 3.0 (/ (log (/ -1 N)) (pow N 2)) (fma (* (/ (log (/ -1 N)) (pow N 3)) (log -1)) 2.0 (/ 1.5 (/ (pow N 2) (pow (log (/ -1 N)) 2))))))))) 6.089 * * * [progress]: adding candidates to table 6.839 * * [progress]: iteration 4 / 4 6.840 * * * [progress]: picking best candidate 6.860 * * * * [pick]: Picked # 6.860 * * * [progress]: localizing error 6.875 * * * [progress]: generating rewritten candidates 6.875 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 6.885 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.991 * * * [progress]: generating series expansions 6.991 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 6.992 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 6.992 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 6.992 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.992 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.992 * [taylor]: Taking taylor expansion of N in N 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (* 1 1) into 1 6.993 * [backup-simplify]: Simplify (/ 1 1) into 1 6.993 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.993 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.993 * [taylor]: Taking taylor expansion of N in N 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.994 * [backup-simplify]: Simplify (* 1 1) into 1 6.994 * [backup-simplify]: Simplify (/ 1 1) into 1 6.994 * [backup-simplify]: Simplify 1 into 1 6.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.999 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.003 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.006 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 7.006 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.006 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.006 * [taylor]: Taking taylor expansion of N in N 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.006 * [taylor]: Taking taylor expansion of N in N 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.007 * [backup-simplify]: Simplify (* 1 1) into 1 7.007 * [backup-simplify]: Simplify 1 into 1 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.007 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.009 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.014 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 7.014 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.014 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.014 * [taylor]: Taking taylor expansion of N in N 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.014 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.014 * [taylor]: Taking taylor expansion of N in N 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (* 1 1) into 1 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.018 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.019 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 7.021 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.021 * [backup-simplify]: Simplify (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 7.021 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 7.021 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 7.021 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 7.021 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 7.022 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.022 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.022 * [taylor]: Taking taylor expansion of N in N 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (/ 1 1) into 1 7.022 * [taylor]: Taking taylor expansion of 0.5 in N 7.022 * [backup-simplify]: Simplify 0.5 into 0.5 7.022 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.022 * [taylor]: Taking taylor expansion of N in N 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.023 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.024 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 7.024 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 7.024 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 7.024 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 7.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.024 * [taylor]: Taking taylor expansion of N in N 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [taylor]: Taking taylor expansion of 0.5 in N 7.024 * [backup-simplify]: Simplify 0.5 into 0.5 7.024 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.024 * [taylor]: Taking taylor expansion of N in N 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.025 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.025 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.025 * [backup-simplify]: Simplify (* 1 1) into 1 7.025 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 7.026 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.027 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.027 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.034 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 7.035 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.036 * [backup-simplify]: Simplify (- 0) into 0 7.036 * [backup-simplify]: Simplify (+ 0 0) into 0 7.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.039 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.039 * [backup-simplify]: Simplify (- 0) into 0 7.040 * [backup-simplify]: Simplify (+ 0 0) into 0 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.043 * [backup-simplify]: Simplify (- 0) into 0 7.043 * [backup-simplify]: Simplify (+ 0 0) into 0 7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.045 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.047 * [backup-simplify]: Simplify (- 0) into 0 7.047 * [backup-simplify]: Simplify (+ 0 0) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.052 * [backup-simplify]: Simplify 0 into 0 7.053 * [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 7.054 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.054 * [backup-simplify]: Simplify (- 0) into 0 7.055 * [backup-simplify]: Simplify (+ 0 0) into 0 7.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.057 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 7.057 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 7.057 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 7.057 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 7.058 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 7.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.058 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.058 * [taylor]: Taking taylor expansion of N in N 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of 0.5 in N 7.058 * [backup-simplify]: Simplify 0.5 into 0.5 7.058 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 7.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.058 * [taylor]: Taking taylor expansion of N in N 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 7.058 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 7.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.058 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.058 * [taylor]: Taking taylor expansion of N in N 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of 0.5 in N 7.058 * [backup-simplify]: Simplify 0.5 into 0.5 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.059 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 7.059 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.060 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.061 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 7.061 * [backup-simplify]: Simplify -0.5 into -0.5 7.063 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 7.063 * [backup-simplify]: Simplify (- 0) into 0 7.063 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 7.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.067 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 7.067 * [backup-simplify]: Simplify (- 0) into 0 7.067 * [backup-simplify]: Simplify (+ 0 0) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 7.069 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.071 * [backup-simplify]: Simplify (- 0) into 0 7.071 * [backup-simplify]: Simplify (+ 0 0) into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.075 * [backup-simplify]: Simplify (- 0) into 0 7.075 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.079 * [backup-simplify]: Simplify (- 0) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.085 * [backup-simplify]: Simplify (- 0) into 0 7.085 * [backup-simplify]: Simplify (+ 0 0) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 7.088 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.090 * [backup-simplify]: Simplify (- 0) into 0 7.090 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.095 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) 7.095 * [approximate]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in (N) around 0 7.095 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 7.095 * [taylor]: Taking taylor expansion of -1 in N 7.095 * [backup-simplify]: Simplify -1 into -1 7.095 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 7.095 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.095 * [taylor]: Taking taylor expansion of N in N 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 7.095 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 7.095 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.095 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.095 * [taylor]: Taking taylor expansion of N in N 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [taylor]: Taking taylor expansion of 0.5 in N 7.095 * [backup-simplify]: Simplify 0.5 into 0.5 7.095 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 7.095 * [taylor]: Taking taylor expansion of -1 in N 7.095 * [backup-simplify]: Simplify -1 into -1 7.095 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 7.095 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.095 * [taylor]: Taking taylor expansion of N in N 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 7.095 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 7.095 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.095 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.095 * [taylor]: Taking taylor expansion of N in N 7.095 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [taylor]: Taking taylor expansion of 0.5 in N 7.096 * [backup-simplify]: Simplify 0.5 into 0.5 7.096 * [backup-simplify]: Simplify (* 1 1) into 1 7.096 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 7.097 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 7.097 * [backup-simplify]: Simplify (* 1 0.5) into 0.5 7.098 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 7.098 * [backup-simplify]: Simplify -0.5 into -0.5 7.099 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 7.100 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 0.5)) into 0.3333333333333333 7.103 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 7.103 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.104 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 7.105 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 7.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 7.107 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.109 * [backup-simplify]: Simplify (+ 0 0) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.113 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 7.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 7.117 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.119 * [backup-simplify]: Simplify (+ 0 0) into 0 7.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 7.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.125 * [backup-simplify]: Simplify (+ 0 0) into 0 7.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 7.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.130 * [backup-simplify]: Simplify (+ 0 0) into 0 7.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 7.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 7.133 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.134 * * * [progress]: simplifying candidates 7.144 * [simplify]: Simplifying: (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt 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N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ (/ 1 N) N) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.150 * * [simplify]: iteration 0: 399 enodes 7.322 * * [simplify]: iteration 1: 1195 enodes 7.766 * * [simplify]: iteration complete: 5001 enodes 7.766 * * [simplify]: Extracting #0: cost 114 inf + 0 7.770 * * [simplify]: Extracting #1: cost 1472 inf + 2 7.776 * * [simplify]: Extracting #2: cost 2176 inf + 311 7.784 * * [simplify]: Extracting #3: cost 1487 inf + 5651 7.798 * * [simplify]: Extracting #4: cost 563 inf + 15230 7.814 * * [simplify]: Extracting #5: cost 204 inf + 20730 7.834 * * [simplify]: Extracting #6: cost 25 inf + 23970 7.848 * * [simplify]: Extracting #7: cost 0 inf + 24356 7.863 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) -2 -2 (- (log (pow N 2))) (- (log (pow N 2))) (- (log (pow N 2))) (- (log (pow N 2))) (- (log (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow N (* 2 3))) (/ (pow (/ 1 N) 3) (pow N 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 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(- (/ 0.3333333333333333 N) 0.5)) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (cbrt N) (cbrt N))) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) (sqrt N)) (/ (* (/ 1 (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (/ 1 (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (* (/ 1 (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (* (+ (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2))) 7.868 * * * [progress]: adding candidates to table 8.690 * [progress]: [Phase 3 of 3] Extracting. 8.690 * * [regime]: Finding splitpoints for: (# # # #) 8.694 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.695 * * * * [regimes]: Trying to branch on N from (# # # #) 8.763 * * * [regime]: Found split indices: #