0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.123 * * * [progress]: [2/2] Setting up program. 0.128 * [progress]: [Phase 2 of 3] Improving. 0.128 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.128 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.128 * * [simplify]: iteration 1: (6 enodes) 0.133 * * [simplify]: iteration 2: (23 enodes) 0.141 * * [simplify]: iteration 3: (29 enodes) 0.149 * * [simplify]: Extracting #0: cost 1 inf + 0 0.149 * * [simplify]: Extracting #1: cost 5 inf + 0 0.149 * * [simplify]: Extracting #2: cost 10 inf + 0 0.149 * * [simplify]: Extracting #3: cost 11 inf + 1 0.149 * * [simplify]: Extracting #4: cost 2 inf + 762 0.150 * * [simplify]: Extracting #5: cost 0 inf + 1034 0.150 * [simplify]: Simplified to (- (log1p N) (log N)) 0.160 * * [progress]: iteration 1 / 4 0.160 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.198 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.200 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.200 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.200 * [taylor]: Taking taylor expansion of (log1p N) in N 0.201 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.201 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of 1 in N 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [taylor]: Taking taylor expansion of (log N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (log 1) into 0 0.204 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.204 * [taylor]: Taking taylor expansion of (log1p N) in N 0.204 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.204 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of 1 in N 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (log 1) into 0 0.205 * [taylor]: Taking taylor expansion of (log N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.206 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.206 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.206 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.207 * [backup-simplify]: Simplify (+ 0 1) into 1 0.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.218 * [backup-simplify]: Simplify -1/2 into -1/2 0.218 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.218 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.218 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.218 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.218 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.218 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1 in N 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (+ 0 1) into 1 0.219 * [backup-simplify]: Simplify (log 1) into 0 0.219 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (log 1) into 0 0.220 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.220 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.220 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1 in N 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [backup-simplify]: Simplify (log 1) into 0 0.222 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (log 1) into 0 0.223 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.224 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.224 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.238 * [backup-simplify]: Simplify -1/2 into -1/2 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [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 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.252 * [backup-simplify]: Simplify 1/3 into 1/3 0.253 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.253 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.253 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.253 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.253 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.253 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.253 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.253 * [taylor]: Taking taylor expansion of 1 in N 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.253 * [taylor]: Taking taylor expansion of -1 in N 0.253 * [backup-simplify]: Simplify -1 into -1 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ -1 1) into -1 0.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.255 * [backup-simplify]: Simplify (log -1) into (log -1) 0.255 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.255 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.255 * [taylor]: Taking taylor expansion of -1 in N 0.255 * [backup-simplify]: Simplify -1 into -1 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ -1 1) into -1 0.256 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.256 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.256 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.256 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.256 * [taylor]: Taking taylor expansion of 1 in N 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.256 * [taylor]: Taking taylor expansion of -1 in N 0.256 * [backup-simplify]: Simplify -1 into -1 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ -1 1) into -1 0.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (log -1) into (log -1) 0.258 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.258 * [taylor]: Taking taylor expansion of -1 in N 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of N in N 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.259 * [backup-simplify]: Simplify (log -1) into (log -1) 0.260 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.261 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.261 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.262 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ -1 0) into -1 0.278 * [backup-simplify]: Simplify -1 into -1 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.288 * [backup-simplify]: Simplify -1/2 into -1/2 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [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 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.301 * [backup-simplify]: Simplify -1/3 into -1/3 0.301 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.301 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.301 * [backup-simplify]: Simplify (log1p N) into (log1p N) 0.301 * [approximate]: Taking taylor expansion of (log1p N) in (N) around 0 0.301 * [taylor]: Taking taylor expansion of (log1p N) in N 0.301 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.301 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.301 * [taylor]: Taking taylor expansion of 1 in N 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [backup-simplify]: Simplify (log 1) into 0 0.302 * [taylor]: Taking taylor expansion of (log1p N) in N 0.302 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.302 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of 1 in N 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (log 1) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ 0 1) into 1 0.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.306 * [backup-simplify]: Simplify -1/2 into -1/2 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.309 * [backup-simplify]: Simplify 1/3 into 1/3 0.309 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.309 * [backup-simplify]: Simplify (log1p (/ 1 N)) into (log1p (/ 1 N)) 0.309 * [approximate]: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 0.309 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.309 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.309 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.309 * [taylor]: Taking taylor expansion of 1 in N 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.309 * [taylor]: Taking taylor expansion of N in N 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.311 * [backup-simplify]: Simplify (log 1) into 0 0.311 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.311 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.311 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.311 * [taylor]: Taking taylor expansion of 1 in N 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.311 * [taylor]: Taking taylor expansion of N in N 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (+ 0 1) into 1 0.312 * [backup-simplify]: Simplify (log 1) into 0 0.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.312 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.316 * [backup-simplify]: Simplify -1/2 into -1/2 0.317 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.317 * [backup-simplify]: Simplify (log1p (/ 1 (- N))) into (log1p (/ -1 N)) 0.317 * [approximate]: Taking taylor expansion of (log1p (/ -1 N)) in (N) around 0 0.317 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.317 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.317 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.317 * [taylor]: Taking taylor expansion of 1 in N 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.317 * [taylor]: Taking taylor expansion of -1 in N 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.318 * [backup-simplify]: Simplify (log -1) into (log -1) 0.318 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.318 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.318 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.318 * [taylor]: Taking taylor expansion of 1 in N 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.318 * [taylor]: Taking taylor expansion of -1 in N 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of N in N 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.319 * [backup-simplify]: Simplify (log -1) into (log -1) 0.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.320 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.321 * [backup-simplify]: Simplify -1 into -1 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.324 * [backup-simplify]: Simplify -1/2 into -1/2 0.324 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.324 * * * [progress]: simplifying candidates 0.324 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.324 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.324 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 16 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 0.325 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 32 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 37 / 55 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.326 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 46 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 0.326 * * * * [progress]: [ 49 / 55 ] simplifiying candidate #real (real->posit16 (log1p N))) (log N)))> 0.326 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 0.327 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 0.327 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 0.327 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 0.327 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 0.327 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 0.328 * [simplify]: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))), (fma (- (log N)) 1 (* (log N) 1)), (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p 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 (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))), (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))), (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))), (fma (- (log N)) 1 (* (log N) 1)), (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))), (fma (- (log N)) 1 (* (log N) 1)), (fma (sqrt (log1p N)) (sqrt (log1p 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 (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))), (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))), (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))), (fma (- (log N)) 1 (* (log N) 1)), (fma 1 (log1p N) (- (* (log N) 1))), (fma (- (log N)) 1 (* (log N) 1)), (fma 1 (log1p 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 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))), (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))), (fma 1 (log1p N) (- (* (log N) 1))), (fma (- (log N)) 1 (* (log N) 1)), (expm1 (- (log1p N) (log N))), (log1p (- (log1p N) (log N))), (- (log N)), (- (log N)), (- (log N)), (/ (+ 1 N) N), (/ (exp (log1p N)) N), (log (- (log1p N) (log N))), (exp (- (log1p N) (log N))), (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))), (cbrt (- (log1p N) (log N))), (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))), (sqrt (- (log1p N) (log N))), (sqrt (- (log1p N) (log N))), (- (pow (log1p N) 3) (pow (log N) 3)), (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))), (- (log N)), (- (* (log1p N) (log1p N)) (* (log N) (log N))), (+ (log1p N) (log N)), (+ (sqrt (log1p N)) (sqrt (log N))), (- (sqrt (log1p N)) (sqrt (log N))), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log (* (cbrt N) (cbrt N)))), (- (log1p N) (log (sqrt N))), (- (log1p N) (log 1)), (- (log N)), (real->posit16 (- (log1p N) (log N))), (+ 1 N), (expm1 (log1p N)), (log1p (log1p N)), (log (log1p N)), (exp (log1p N)), (* (cbrt (log1p N)) (cbrt (log1p N))), (cbrt (log1p N)), (* (* (log1p N) (log1p N)) (log1p N)), (sqrt (log1p N)), (sqrt (log1p N)), (real->posit16 (log1p N)), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))), (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))), (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.329 * * [simplify]: iteration 1: (101 enodes) 0.385 * * [simplify]: iteration 2: (399 enodes) 0.495 * * [simplify]: iteration 3: (705 enodes) 0.786 * * [simplify]: iteration 4: (1508 enodes) 2.587 * * [simplify]: Extracting #0: cost 36 inf + 0 2.589 * * [simplify]: Extracting #1: cost 281 inf + 2 2.595 * * [simplify]: Extracting #2: cost 772 inf + 4966 2.616 * * [simplify]: Extracting #3: cost 600 inf + 54498 2.650 * * [simplify]: Extracting #4: cost 212 inf + 170471 2.687 * * [simplify]: Extracting #5: cost 13 inf + 253109 2.735 * * [simplify]: Extracting #6: cost 0 inf + 259345 2.777 * [simplify]: Simplified to (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (expm1 (- (log1p N) (log N))), (log1p (- (log1p N) (log N))), (- (log N)), (- (log N)), (- (log N)), (/ (+ 1 N) N), (/ (exp (log1p N)) N), (log (- (log1p N) (log N))), (/ (exp (log1p N)) N), (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))), (cbrt (- (log1p N) (log N))), (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))), (sqrt (- (log1p N) (log N))), (sqrt (- (log1p N) (log N))), (- (* (* (log1p N) (log1p N)) (log1p N)) (* (* (log N) (log N)) (log N))), (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))), (- (log N)), (- (* (log1p N) (log1p N)) (* (log N) (log N))), (+ (log N) (log1p N)), (+ (sqrt (log N)) (sqrt (log1p N))), (- (sqrt (log1p N)) (sqrt (log N))), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))), (- (log1p N) (log (sqrt N))), (log1p N), (- (log N)), (real->posit16 (- (log1p N) (log N))), (+ 1 N), N, (log1p (log1p N)), (log (log1p N)), (exp (log1p N)), (* (cbrt (log1p N)) (cbrt (log1p N))), (cbrt (log1p N)), (* (* (log1p N) (log1p N)) (log1p N)), (sqrt (log1p N)), (sqrt (log1p N)), (real->posit16 (log1p N)), (- N (fma (* N N) 1/2 (log N))), (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)), (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)), (fma (* N N) (fma 1/3 N -1/2) N), (+ (/ 1 N) (fma -1/2 (/ (/ 1 N) N) (log N))), (+ (/ 1 N) (fma -1/2 (/ (/ 1 N) N) (log N))) 2.780 * * * [progress]: adding candidates to table 3.289 * * [progress]: iteration 2 / 4 3.289 * * * [progress]: picking best candidate 3.296 * * * * [pick]: Picked # 3.296 * * * [progress]: localizing error 3.304 * * * [progress]: generating rewritten candidates 3.304 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.334 * * * [progress]: generating series expansions 3.334 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.335 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.335 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.335 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.335 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.335 * [taylor]: Taking taylor expansion of (+ N 1) 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 3.335 * [taylor]: Taking taylor expansion of 1 in N 3.335 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 1) into 1 3.336 * [backup-simplify]: Simplify (/ 1 1) into 1 3.337 * [backup-simplify]: Simplify (log 1) into 0 3.337 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.337 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.337 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.337 * [taylor]: Taking taylor expansion of N in N 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [taylor]: Taking taylor expansion of 1 in N 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [taylor]: Taking taylor expansion of N in N 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (+ 0 1) into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.339 * [backup-simplify]: Simplify (log 1) into 0 3.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.339 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.340 * [backup-simplify]: Simplify (+ 1 0) into 1 3.341 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.345 * [backup-simplify]: Simplify -1/2 into -1/2 3.345 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.345 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.345 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.345 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.345 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.345 * [taylor]: Taking taylor expansion of N in N 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.345 * [taylor]: Taking taylor expansion of N in N 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [taylor]: Taking taylor expansion of 1 in N 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (+ 1 0) into 1 3.346 * [backup-simplify]: Simplify (* 0 1) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ 0 1) into 1 3.348 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.348 * [backup-simplify]: Simplify (log 1) into 0 3.348 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.348 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.348 * [taylor]: Taking taylor expansion of N in N 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.348 * [taylor]: Taking taylor expansion of N in N 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [backup-simplify]: Simplify (/ 1 1) into 1 3.349 * [taylor]: Taking taylor expansion of 1 in N 3.349 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (+ 1 0) into 1 3.349 * [backup-simplify]: Simplify (* 0 1) into 0 3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ 0 1) into 1 3.350 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.351 * [backup-simplify]: Simplify (log 1) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.356 * [backup-simplify]: Simplify -1/2 into -1/2 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.360 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.361 * [backup-simplify]: Simplify 1/3 into 1/3 3.361 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.361 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.361 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.361 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.361 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.361 * [taylor]: Taking taylor expansion of -1 in N 3.361 * [backup-simplify]: Simplify -1 into -1 3.361 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.361 * [taylor]: Taking taylor expansion of N in N 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.361 * [taylor]: Taking taylor expansion of 1 in N 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.361 * [taylor]: Taking taylor expansion of N in N 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (/ 1 1) into 1 3.362 * [backup-simplify]: Simplify (- 1) into -1 3.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.362 * [backup-simplify]: Simplify (* 0 -1) into 0 3.363 * [backup-simplify]: Simplify (* -1 0) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.364 * [backup-simplify]: Simplify (+ 1 0) into 1 3.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.364 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.365 * [backup-simplify]: Simplify (log 1) into 0 3.365 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.365 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.365 * [taylor]: Taking taylor expansion of -1 in N 3.365 * [backup-simplify]: Simplify -1 into -1 3.365 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.365 * [taylor]: Taking taylor expansion of 1 in N 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [backup-simplify]: Simplify (- 1) into -1 3.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.366 * [backup-simplify]: Simplify (* 0 -1) into 0 3.366 * [backup-simplify]: Simplify (* -1 0) into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (- 0) into 0 3.367 * [backup-simplify]: Simplify (+ 1 0) into 1 3.368 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.368 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.369 * [backup-simplify]: Simplify (log 1) into 0 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.371 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.372 * [backup-simplify]: Simplify -1 into -1 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- 0) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.377 * [backup-simplify]: Simplify -1/2 into -1/2 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- 0) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.384 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.384 * [backup-simplify]: Simplify -1/3 into -1/3 3.384 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.384 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.384 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.384 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.384 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.384 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of 1 in N 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (+ 0 1) into 1 3.385 * [backup-simplify]: Simplify (/ 1 1) into 1 3.385 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.385 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [taylor]: Taking taylor expansion of 1 in N 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (+ 0 1) into 1 3.386 * [backup-simplify]: Simplify (/ 1 1) into 1 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (+ 1 0) into 1 3.387 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.393 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.393 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.393 * [taylor]: Taking taylor expansion of N in N 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.394 * [taylor]: Taking taylor expansion of N in N 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (/ 1 1) into 1 3.394 * [taylor]: Taking taylor expansion of 1 in N 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.394 * [taylor]: Taking taylor expansion of N in N 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.394 * [taylor]: Taking taylor expansion of N in N 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (/ 1 1) into 1 3.395 * [taylor]: Taking taylor expansion of 1 in N 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (+ 1 0) into 1 3.396 * [backup-simplify]: Simplify (* 0 1) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 1) into 1 3.398 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.398 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [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 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [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 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.413 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.413 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.413 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.413 * [taylor]: Taking taylor expansion of -1 in N 3.413 * [backup-simplify]: Simplify -1 into -1 3.413 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.413 * [taylor]: Taking taylor expansion of 1 in N 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (/ 1 1) into 1 3.415 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.415 * [taylor]: Taking taylor expansion of -1 in N 3.415 * [backup-simplify]: Simplify -1 into -1 3.415 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.415 * [taylor]: Taking taylor expansion of N in N 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.415 * [taylor]: Taking taylor expansion of 1 in N 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.415 * [taylor]: Taking taylor expansion of N in N 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [backup-simplify]: Simplify (- 1) into -1 3.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.417 * [backup-simplify]: Simplify (* 0 -1) into 0 3.417 * [backup-simplify]: Simplify (* -1 0) into 0 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 1 0) into 1 3.418 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.419 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (- 0) into 0 3.420 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.421 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.421 * [backup-simplify]: Simplify -1 into -1 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- 0) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify (- 0) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [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 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.440 * [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 3.440 * [backup-simplify]: Simplify (- 0) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.445 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.445 * * * [progress]: simplifying candidates 3.445 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.445 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.445 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.445 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.446 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.447 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.447 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.448 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.449 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.449 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.450 * [simplify]: Simplifying (expm1 (log (/ (+ 1 N) N))), (log1p (log (/ (+ 1 N) N))), (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))), (log (cbrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))), (log (/ (cbrt (+ 1 N)) (cbrt N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))), (log (/ (cbrt (+ 1 N)) (sqrt N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)), (log (/ (cbrt (+ 1 N)) N)), (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))), (log (/ (sqrt (+ 1 N)) (cbrt N))), (log (/ (sqrt (+ 1 N)) (sqrt N))), (log (/ (sqrt (+ 1 N)) (sqrt N))), (log (/ (sqrt (+ 1 N)) 1)), (log (/ (sqrt (+ 1 N)) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ 1 N) (sqrt N))), (log (/ 1 1)), (log (/ (+ 1 N) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ 1 N) (sqrt N))), (log (/ 1 1)), (log (/ (+ 1 N) N)), (log 1), (log (/ (+ 1 N) N)), (log (+ 1 N)), (log (/ 1 N)), (log (+ 1 N)), (log N), (log (/ (+ 1 N) N)), (log (log (/ (+ 1 N) N))), (exp (log (/ (+ 1 N) N))), (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))), (cbrt (log (/ (+ 1 N) N))), (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (real->posit16 (log (/ (+ 1 N) N))), (expm1 (/ (+ 1 N) N)), (log1p (/ (+ 1 N) N)), (- (log (+ 1 N)) (log N)), (log (/ (+ 1 N) N)), (exp (/ (+ 1 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), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ 1 N) (cbrt N)), (/ 1 (sqrt N)), (/ (+ 1 N) (sqrt N)), (/ 1 1), (/ (+ 1 N) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ 1 N) (cbrt N)), (/ 1 (sqrt N)), (/ (+ 1 N) (sqrt N)), (/ 1 1), (/ (+ 1 N) N), (/ 1 N), (/ N (+ 1 N)), (/ (+ 1 N) (* (cbrt N) (cbrt N))), (/ (+ 1 N) (sqrt N)), (/ (+ 1 N) 1), (/ N (cbrt (+ 1 N))), (/ N (sqrt (+ 1 N))), (/ N (+ 1 N)), (/ N (+ 1 N)), (* N (+ (* 1 1) (- (* N N) (* 1 N)))), (* N (- 1 N)), (real->posit16 (/ (+ 1 N) N)), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (+ (/ 1 N) 1), (+ (/ 1 N) 1), (+ (/ 1 N) 1) 3.452 * * [simplify]: iteration 1: (106 enodes) 3.511 * * [simplify]: iteration 2: (414 enodes) 3.640 * * [simplify]: iteration 3: (757 enodes) 3.883 * * [simplify]: iteration 4: (1552 enodes) 4.808 * * [simplify]: Extracting #0: cost 69 inf + 0 4.809 * * [simplify]: Extracting #1: cost 349 inf + 2 4.816 * * [simplify]: Extracting #2: cost 696 inf + 5895 4.841 * * [simplify]: Extracting #3: cost 444 inf + 62101 4.913 * * [simplify]: Extracting #4: cost 50 inf + 165649 4.969 * * [simplify]: Extracting #5: cost 0 inf + 184764 5.023 * * [simplify]: Extracting #6: cost 0 inf + 184724 5.077 * [simplify]: Simplified to (expm1 (log (/ (+ N 1) N))), (log1p (log (/ (+ N 1) N))), (+ (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N)))), (log (cbrt (/ (+ N 1) N))), (log (sqrt (/ (+ N 1) N))), (log (sqrt (/ (+ N 1) N))), (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (cbrt N)))), (log (/ (cbrt (+ N 1)) (cbrt N))), (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))), (log (/ (cbrt (+ N 1)) (sqrt N))), (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))), (log (/ (cbrt (+ N 1)) N)), (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))), (log (/ (sqrt (+ N 1)) (cbrt N))), (log (/ (sqrt (+ N 1)) (sqrt N))), (log (/ (sqrt (+ N 1)) (sqrt N))), (log (sqrt (+ N 1))), (log (/ (sqrt (+ N 1)) N)), (+ (- (log (cbrt N))) (- (log (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (- (log (sqrt N))), (log (/ (+ N 1) (sqrt N))), 0, (log (/ (+ N 1) N)), (+ (- (log (cbrt N))) (- (log (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (- (log (sqrt N))), (log (/ (+ N 1) (sqrt N))), 0, (log (/ (+ N 1) N)), 0, (log (/ (+ N 1) N)), (log1p N), (- (log N)), (log1p N), (log N), (log (/ (+ N 1) N)), (log (log (/ (+ N 1) N))), (/ (+ N 1) N), (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))), (cbrt (log (/ (+ N 1) N))), (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))), (sqrt (log (/ (+ N 1) N))), (sqrt (log (/ (+ N 1) N))), (real->posit16 (log (/ (+ N 1) N))), (expm1 (/ (+ N 1) N)), (log1p (/ (+ N 1) N)), (log (/ (+ N 1) N)), (log (/ (+ N 1) N)), (exp (/ (+ N 1) N)), (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))), (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))), (cbrt (/ (+ N 1) N)), (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))), (sqrt (/ (+ N 1) N)), (sqrt (/ (+ N 1) N)), (- -1 N), (- N), (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))), (/ (cbrt (+ N 1)) (cbrt N)), (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)), (/ (cbrt (+ N 1)) (sqrt N)), (* (cbrt (+ N 1)) (cbrt (+ N 1))), (/ (cbrt (+ N 1)) N), (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))), (/ (sqrt (+ N 1)) (cbrt N)), (/ (sqrt (+ N 1)) (sqrt N)), (/ (sqrt (+ N 1)) (sqrt N)), (sqrt (+ N 1)), (/ (sqrt (+ N 1)) N), (/ (/ 1 (cbrt N)) (cbrt N)), (/ (+ N 1) (cbrt N)), (/ 1 (sqrt N)), (/ (+ N 1) (sqrt N)), 1, (/ (+ N 1) N), (/ (/ 1 (cbrt N)) (cbrt N)), (/ (+ N 1) (cbrt N)), (/ 1 (sqrt N)), (/ (+ N 1) (sqrt N)), 1, (/ (+ N 1) N), (/ 1 N), (/ N (+ N 1)), (/ (+ N 1) (* (cbrt N) (cbrt N))), (/ (+ N 1) (sqrt N)), (+ N 1), (/ N (cbrt (+ N 1))), (/ N (sqrt (+ N 1))), (/ N (+ N 1)), (/ N (+ N 1)), (fma (- (* N N) N) N N), (- N (* N N)), (real->posit16 (/ (+ N 1) N)), (fma (* N N) -1/2 (- N (log N))), (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)), (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)), (+ (/ 1 N) 1), (+ (/ 1 N) 1), (+ (/ 1 N) 1) 5.083 * * * [progress]: adding candidates to table 5.616 * * [progress]: iteration 3 / 4 5.616 * * * [progress]: picking best candidate 5.627 * * * * [pick]: Picked # 5.628 * * * [progress]: localizing error 5.643 * * * [progress]: generating rewritten candidates 5.644 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.655 * * * [progress]: generating series expansions 5.655 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.655 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 5.655 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.655 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.655 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.655 * [taylor]: Taking taylor expansion of N in N 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (/ 1 1) into 1 5.656 * [taylor]: Taking taylor expansion of 1 in N 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (+ 1 0) into 1 5.657 * [backup-simplify]: Simplify (log 1) into 0 5.657 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.657 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.657 * [taylor]: Taking taylor expansion of N in N 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (/ 1 1) into 1 5.657 * [taylor]: Taking taylor expansion of 1 in N 5.657 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (+ 1 0) into 1 5.658 * [backup-simplify]: Simplify (log 1) into 0 5.659 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.659 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.660 * [backup-simplify]: Simplify (+ 0 1) into 1 5.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.661 * [backup-simplify]: Simplify 1 into 1 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.665 * [backup-simplify]: Simplify -1/2 into -1/2 5.665 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.665 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 N)) 1)) into (log (+ N 1)) 5.665 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.665 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.665 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.665 * [taylor]: Taking taylor expansion of N in N 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [taylor]: Taking taylor expansion of 1 in N 5.665 * [backup-simplify]: Simplify 1 into 1 5.666 * [backup-simplify]: Simplify (+ 0 1) into 1 5.666 * [backup-simplify]: Simplify (log 1) into 0 5.666 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.666 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of 1 in N 5.666 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (+ 0 1) into 1 5.667 * [backup-simplify]: Simplify (log 1) into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify (+ 1 0) into 1 5.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.669 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.673 * [backup-simplify]: Simplify -1/2 into -1/2 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.679 * [backup-simplify]: Simplify 1/3 into 1/3 5.679 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 5.679 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 (- N))) 1)) into (log (- 1 N)) 5.679 * [approximate]: Taking taylor expansion of (log (- 1 N)) in (N) around 0 5.679 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 5.679 * [taylor]: Taking taylor expansion of (- 1 N) in N 5.679 * [taylor]: Taking taylor expansion of 1 in N 5.679 * [backup-simplify]: Simplify 1 into 1 5.679 * [taylor]: Taking taylor expansion of N in N 5.679 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify (- 0) into 0 5.680 * [backup-simplify]: Simplify (+ 1 0) into 1 5.681 * [backup-simplify]: Simplify (log 1) into 0 5.681 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 5.681 * [taylor]: Taking taylor expansion of (- 1 N) in N 5.681 * [taylor]: Taking taylor expansion of 1 in N 5.681 * [backup-simplify]: Simplify 1 into 1 5.681 * [taylor]: Taking taylor expansion of N in N 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.681 * [backup-simplify]: Simplify (- 0) into 0 5.682 * [backup-simplify]: Simplify (+ 1 0) into 1 5.682 * [backup-simplify]: Simplify (log 1) into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify (- 1) into -1 5.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.685 * [backup-simplify]: Simplify -1 into -1 5.685 * [backup-simplify]: Simplify (- 0) into 0 5.686 * [backup-simplify]: Simplify (+ 0 0) into 0 5.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.688 * [backup-simplify]: Simplify -1/2 into -1/2 5.689 * [backup-simplify]: Simplify (- 0) into 0 5.689 * [backup-simplify]: Simplify (+ 0 0) into 0 5.695 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 5.695 * [backup-simplify]: Simplify -1/3 into -1/3 5.695 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 5.695 * * * [progress]: simplifying candidates 5.695 * * * * [progress]: [ 1 / 22 ] simplifiying candidate # 5.695 * * * * [progress]: [ 2 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 3 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 4 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 5 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 6 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 7 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 8 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 9 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 10 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 11 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 12 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 13 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 14 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 15 / 22 ] simplifiying candidate # 5.696 * * * * [progress]: [ 16 / 22 ] simplifiying candidate # 5.697 * * * * [progress]: [ 17 / 22 ] simplifiying candidate # 5.697 * * * * [progress]: [ 18 / 22 ] simplifiying candidate # 5.697 * * * * [progress]: [ 19 / 22 ] simplifiying candidate #real (real->posit16 (log (+ (/ 1 N) 1)))))> 5.697 * * * * [progress]: [ 20 / 22 ] simplifiying candidate # 5.697 * * * * [progress]: [ 21 / 22 ] simplifiying candidate # 5.697 * * * * [progress]: [ 22 / 22 ] simplifiying candidate # 5.698 * [simplify]: Simplifying (expm1 (log (+ (/ 1 N) 1))), (log1p (log (+ (/ 1 N) 1))), (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))), (log (cbrt (+ (/ 1 N) 1))), (log (sqrt (+ (/ 1 N) 1))), (log (sqrt (+ (/ 1 N) 1))), (log 1), (log (+ (/ 1 N) 1)), (log 1), (log (+ (/ 1 N) 1)), (log 1), (log (+ (/ 1 N) 1)), (log (+ (pow (/ 1 N) 3) (pow 1 3))), (log (+ (* (/ 1 N) (/ 1 N)) (- (* 1 1) (* (/ 1 N) 1)))), (log (- (* (/ 1 N) (/ 1 N)) (* 1 1))), (log (- (/ 1 N) 1)), (log (+ (/ 1 N) 1)), (log (log (+ (/ 1 N) 1))), (exp (log (+ (/ 1 N) 1))), (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))), (cbrt (log (+ (/ 1 N) 1))), (* (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (log (+ (/ 1 N) 1))), (sqrt (log (+ (/ 1 N) 1))), (sqrt (log (+ (/ 1 N) 1))), (real->posit16 (log (+ (/ 1 N) 1))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 5.698 * * [simplify]: iteration 1: (52 enodes) 5.729 * * [simplify]: iteration 2: (201 enodes) 5.802 * * [simplify]: iteration 3: (327 enodes) 5.899 * * [simplify]: iteration 4: (595 enodes) 6.092 * * [simplify]: iteration 5: (1158 enodes) 7.130 * * [simplify]: Extracting #0: cost 20 inf + 0 7.131 * * [simplify]: Extracting #1: cost 129 inf + 1 7.133 * * [simplify]: Extracting #2: cost 363 inf + 922 7.144 * * [simplify]: Extracting #3: cost 274 inf + 23666 7.166 * * [simplify]: Extracting #4: cost 137 inf + 55996 7.184 * * [simplify]: Extracting #5: cost 27 inf + 112777 7.214 * * [simplify]: Extracting #6: cost 0 inf + 127410 7.255 * [simplify]: Simplified to (/ 1 N), (log1p (log1p (/ 1 N))), (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))), (log (cbrt (+ (/ 1 N) 1))), (log (sqrt (+ (/ 1 N) 1))), (log (sqrt (+ (/ 1 N) 1))), 0, (log1p (/ 1 N)), 0, (log1p (/ 1 N)), 0, (log1p (/ 1 N)), (log (fma (/ (/ 1 N) N) (/ 1 N) 1)), (log (- (fma (/ 1 N) (/ 1 N) 1) (/ 1 N))), (log (fma (/ 1 N) (/ 1 N) -1)), (log (- (/ 1 N) 1)), (log1p (/ 1 N)), (log (log1p (/ 1 N))), (+ (/ 1 N) 1), (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))), (cbrt (log1p (/ 1 N))), (* (* (log1p (/ 1 N)) (log1p (/ 1 N))) (log1p (/ 1 N))), (sqrt (log1p (/ 1 N))), (sqrt (log1p (/ 1 N))), (real->posit16 (log1p (/ 1 N))), (fma N (* N -1/2) (- N (log N))), (fma (/ 1 N) (/ (- (/ 1/3 N) 1/2) N) (/ 1 N)), (fma (/ 1 N) (/ (- (/ 1/3 N) 1/2) N) (/ 1 N)) 7.257 * * * [progress]: adding candidates to table 7.379 * * [progress]: iteration 4 / 4 7.379 * * * [progress]: picking best candidate 7.383 * * * * [pick]: Picked # 7.383 * * * [progress]: localizing error 7.396 * * * [progress]: generating rewritten candidates 7.396 * * * [progress]: generating series expansions 7.396 * * * [progress]: simplifying candidates 7.396 * [simplify]: Simplifying 7.396 * * [simplify]: iteration 1: (0 enodes) 7.396 * * [simplify]: Extracting #0: cost 0 inf + 0 7.396 * [simplify]: Simplified to 7.396 * * * [progress]: adding candidates to table 7.397 * [progress]: [Phase 3 of 3] Extracting. 7.400 * [simplify]: Simplifying (log1p (/ 1 N)) 7.400 * * [simplify]: iteration 1: (4 enodes) 7.401 * * [simplify]: iteration 2: (6 enodes) 7.401 * * [simplify]: Extracting #0: cost 1 inf + 0 7.401 * * [simplify]: Extracting #1: cost 2 inf + 0 7.401 * * [simplify]: Extracting #2: cost 4 inf + 0 7.401 * * [simplify]: Extracting #3: cost 2 inf + 2 7.401 * * [simplify]: Extracting #4: cost 0 inf + 176 7.401 * [simplify]: Simplified to (log1p (/ 1 N)) 10.530 * [regime-testing]: Baseline error score: 0.008376047005875735 10.535 * [regime-testing]: Oracle error score: 0.008376047005875735 10.535 * [regime-testing]: End program error score: 0.008376047005875735