24.588 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.117 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.121 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.122 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.122 * * [simplify]: iteration 1: (6 enodes) 0.124 * * [simplify]: iteration 2: (11 enodes) 0.127 * * [simplify]: iteration 3: (13 enodes) 0.130 * * [simplify]: Extracting #0: cost 1 inf + 0 0.130 * * [simplify]: Extracting #1: cost 4 inf + 0 0.130 * * [simplify]: Extracting #2: cost 6 inf + 0 0.130 * * [simplify]: Extracting #3: cost 2 inf + 475 0.131 * * [simplify]: Extracting #4: cost 0 inf + 518 0.131 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.161 * * [progress]: iteration 1 / 4 0.161 * * * [progress]: picking best candidate 0.166 * * * * [pick]: Picked # 0.166 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.196 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.199 * * * [progress]: generating series expansions 0.199 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.203 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.203 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.205 * [taylor]: Taking taylor expansion of (log1p N) in N 0.206 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.206 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of 1 in N 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (log N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.208 * [taylor]: Taking taylor expansion of (log1p N) in N 0.209 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.209 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of 1 in N 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.209 * [taylor]: Taking taylor expansion of (log N) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.213 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.214 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.214 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.226 * [backup-simplify]: Simplify -1/2 into -1/2 0.227 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.227 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.227 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.227 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.227 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.227 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.227 * [taylor]: Taking taylor expansion of 1 in N 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (+ 0 1) into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.230 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.230 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.230 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.230 * [taylor]: Taking taylor expansion of 1 in N 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (log 1) into 0 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.233 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.233 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.233 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.248 * [backup-simplify]: Simplify -1/2 into -1/2 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [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 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [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 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.262 * [backup-simplify]: Simplify 1/3 into 1/3 0.262 * [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)))) 0.263 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.263 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.263 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.263 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.263 * [taylor]: Taking taylor expansion of -1 in N 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ -1 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.265 * [backup-simplify]: Simplify (log -1) into (log -1) 0.265 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.265 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.265 * [taylor]: Taking taylor expansion of -1 in N 0.265 * [backup-simplify]: Simplify -1 into -1 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ -1 1) into -1 0.265 * [backup-simplify]: Simplify (log -1) into (log -1) 0.266 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.266 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.266 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1 in N 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.266 * [taylor]: Taking taylor expansion of -1 in N 0.266 * [backup-simplify]: Simplify -1 into -1 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ -1 1) into -1 0.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.267 * [backup-simplify]: Simplify (log -1) into (log -1) 0.267 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.267 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.267 * [taylor]: Taking taylor expansion of -1 in N 0.267 * [backup-simplify]: Simplify -1 into -1 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ -1 1) into -1 0.268 * [backup-simplify]: Simplify (log -1) into (log -1) 0.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.270 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.271 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ -1 0) into -1 0.275 * [backup-simplify]: Simplify -1 into -1 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.281 * [backup-simplify]: Simplify -1/2 into -1/2 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [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 0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [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 0.652 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.652 * [backup-simplify]: Simplify -1/3 into -1/3 0.652 * [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)))) 0.652 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.652 * [backup-simplify]: Simplify (log1p N) into (log1p N) 0.652 * [approximate]: Taking taylor expansion of (log1p N) in (N) around 0 0.652 * [taylor]: Taking taylor expansion of (log1p N) in N 0.652 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.652 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.652 * [taylor]: Taking taylor expansion of 1 in N 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [taylor]: Taking taylor expansion of N in N 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (+ 1 0) into 1 0.653 * [backup-simplify]: Simplify (log 1) into 0 0.653 * [taylor]: Taking taylor expansion of (log1p N) in N 0.653 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.653 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.653 * [taylor]: Taking taylor expansion of 1 in N 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (+ 1 0) into 1 0.654 * [backup-simplify]: Simplify (log 1) into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.657 * [backup-simplify]: Simplify -1/2 into -1/2 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [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 0.660 * [backup-simplify]: Simplify 1/3 into 1/3 0.660 * [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))) 0.660 * [backup-simplify]: Simplify (log1p (/ 1 N)) into (log1p (/ 1 N)) 0.660 * [approximate]: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 0.660 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.660 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.660 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.660 * [taylor]: Taking taylor expansion of 1 in N 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (+ 0 1) into 1 0.661 * [backup-simplify]: Simplify (log 1) into 0 0.661 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.661 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.661 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.661 * [taylor]: Taking taylor expansion of 1 in N 0.661 * [backup-simplify]: Simplify 1 into 1 0.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.662 * [taylor]: Taking taylor expansion of N in N 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [backup-simplify]: Simplify (+ 0 1) into 1 0.662 * [backup-simplify]: Simplify (log 1) into 0 0.663 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.663 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 1 0) into 1 0.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.667 * [backup-simplify]: Simplify -1/2 into -1/2 0.667 * [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)))) 0.667 * [backup-simplify]: Simplify (log1p (/ 1 (- N))) into (log1p (/ -1 N)) 0.667 * [approximate]: Taking taylor expansion of (log1p (/ -1 N)) in (N) around 0 0.667 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.667 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.667 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.667 * [taylor]: Taking taylor expansion of 1 in N 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.667 * [taylor]: Taking taylor expansion of -1 in N 0.667 * [backup-simplify]: Simplify -1 into -1 0.667 * [taylor]: Taking taylor expansion of N in N 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ -1 1) into -1 0.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.668 * [backup-simplify]: Simplify (log -1) into (log -1) 0.668 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.668 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.668 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.668 * [taylor]: Taking taylor expansion of 1 in N 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.668 * [taylor]: Taking taylor expansion of -1 in N 0.668 * [backup-simplify]: Simplify -1 into -1 0.668 * [taylor]: Taking taylor expansion of N in N 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ -1 1) into -1 0.669 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.669 * [backup-simplify]: Simplify (log -1) into (log -1) 0.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.670 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ 1 0) into 1 0.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.671 * [backup-simplify]: Simplify -1 into -1 0.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.674 * [backup-simplify]: Simplify -1/2 into -1/2 0.675 * [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)))) 0.675 * * * [progress]: simplifying candidates 0.675 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.675 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.675 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 0.676 * * * * [progress]: [ 16 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 0.677 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 32 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 37 / 55 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.678 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 46 / 55 ] simplifiying candidate # 0.678 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 49 / 55 ] simplifiying candidate #real (real->posit16 (log1p N))) (log N)))> 0.679 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 0.679 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 0.680 * [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)))) 0.682 * * [simplify]: iteration 1: (101 enodes) 0.727 * * [simplify]: iteration 2: (223 enodes) 0.852 * * [simplify]: iteration 3: (491 enodes) 1.231 * * [simplify]: iteration 4: (1464 enodes) 5.003 * * [simplify]: Extracting #0: cost 36 inf + 0 5.004 * * [simplify]: Extracting #1: cost 311 inf + 2 5.008 * * [simplify]: Extracting #2: cost 884 inf + 4007 5.032 * * [simplify]: Extracting #3: cost 683 inf + 91295 5.103 * * [simplify]: Extracting #4: cost 112 inf + 296911 5.161 * * [simplify]: Extracting #5: cost 4 inf + 338520 5.212 * * [simplify]: Extracting #6: cost 0 inf + 339103 5.304 * [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 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (fma (* N N) (fma 1/3 N -1/2) N) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (log N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (log N))) 5.308 * * * [progress]: adding candidates to table 5.693 * * [progress]: iteration 2 / 4 5.693 * * * [progress]: picking best candidate 5.702 * * * * [pick]: Picked # 5.702 * * * [progress]: localizing error 5.711 * * * [progress]: generating rewritten candidates 5.711 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.715 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.742 * * * [progress]: generating series expansions 5.742 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.742 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 5.742 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 5.742 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.742 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.742 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [taylor]: Taking taylor expansion of 1 in N 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (+ 0 1) into 1 5.743 * [backup-simplify]: Simplify (/ 1 1) into 1 5.743 * [backup-simplify]: Simplify (log 1) into 0 5.743 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.743 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.743 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.743 * [taylor]: Taking taylor expansion of N in N 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [taylor]: Taking taylor expansion of 1 in N 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [taylor]: Taking taylor expansion of N in N 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (+ 0 1) into 1 5.744 * [backup-simplify]: Simplify (/ 1 1) into 1 5.744 * [backup-simplify]: Simplify (log 1) into 0 5.744 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.744 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.745 * [backup-simplify]: Simplify (+ 1 0) into 1 5.745 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.748 * [backup-simplify]: Simplify -1/2 into -1/2 5.748 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.748 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 5.748 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 5.748 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.748 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.748 * [taylor]: Taking taylor expansion of N in N 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.749 * [taylor]: Taking taylor expansion of N in N 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (/ 1 1) into 1 5.749 * [taylor]: Taking taylor expansion of 1 in N 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (+ 1 0) into 1 5.750 * [backup-simplify]: Simplify (* 0 1) into 0 5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.750 * [backup-simplify]: Simplify (+ 0 1) into 1 5.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.751 * [backup-simplify]: Simplify (log 1) into 0 5.751 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.751 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.751 * [taylor]: Taking taylor expansion of N in N 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.751 * [taylor]: Taking taylor expansion of N in N 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (/ 1 1) into 1 5.751 * [taylor]: Taking taylor expansion of 1 in N 5.751 * [backup-simplify]: Simplify 1 into 1 5.752 * [backup-simplify]: Simplify (+ 1 0) into 1 5.752 * [backup-simplify]: Simplify (* 0 1) into 0 5.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.753 * [backup-simplify]: Simplify (+ 0 1) into 1 5.753 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.753 * [backup-simplify]: Simplify (log 1) into 0 5.753 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (+ 0 0) into 0 5.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.755 * [backup-simplify]: Simplify 1 into 1 5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.758 * [backup-simplify]: Simplify -1/2 into -1/2 5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.759 * [backup-simplify]: Simplify (+ 0 0) into 0 5.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.763 * [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 5.763 * [backup-simplify]: Simplify 1/3 into 1/3 5.763 * [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)))) 5.763 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 5.763 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.763 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 5.763 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.763 * [taylor]: Taking taylor expansion of -1 in N 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.763 * [taylor]: Taking taylor expansion of 1 in N 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (/ 1 1) into 1 5.764 * [backup-simplify]: Simplify (- 1) into -1 5.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.764 * [backup-simplify]: Simplify (* 0 -1) into 0 5.765 * [backup-simplify]: Simplify (* -1 0) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (- 0) into 0 5.766 * [backup-simplify]: Simplify (+ 1 0) into 1 5.766 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.766 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.767 * [backup-simplify]: Simplify (log 1) into 0 5.767 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 5.767 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.767 * [taylor]: Taking taylor expansion of -1 in N 5.767 * [backup-simplify]: Simplify -1 into -1 5.767 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.767 * [taylor]: Taking taylor expansion of N in N 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.767 * [taylor]: Taking taylor expansion of 1 in N 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.767 * [taylor]: Taking taylor expansion of N in N 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [backup-simplify]: Simplify (/ 1 1) into 1 5.768 * [backup-simplify]: Simplify (- 1) into -1 5.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.769 * [backup-simplify]: Simplify (* 0 -1) into 0 5.769 * [backup-simplify]: Simplify (* -1 0) into 0 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (- 0) into 0 5.771 * [backup-simplify]: Simplify (+ 1 0) into 1 5.771 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.772 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.772 * [backup-simplify]: Simplify (log 1) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (- 0) into 0 5.778 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.779 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.780 * [backup-simplify]: Simplify -1 into -1 5.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.781 * [backup-simplify]: Simplify (- 0) into 0 5.781 * [backup-simplify]: Simplify (+ 0 0) into 0 5.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.784 * [backup-simplify]: Simplify -1/2 into -1/2 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (- 0) into 0 5.785 * [backup-simplify]: Simplify (+ 0 0) into 0 5.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.790 * [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 5.790 * [backup-simplify]: Simplify -1/3 into -1/3 5.790 * [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)))) 5.790 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.790 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 5.790 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 5.790 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.790 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.790 * [taylor]: Taking taylor expansion of N in N 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify 1 into 1 5.790 * [taylor]: Taking taylor expansion of 1 in N 5.790 * [backup-simplify]: Simplify 1 into 1 5.790 * [taylor]: Taking taylor expansion of N in N 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (+ 0 1) into 1 5.791 * [backup-simplify]: Simplify (/ 1 1) into 1 5.791 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.791 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.791 * [taylor]: Taking taylor expansion of N in N 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [taylor]: Taking taylor expansion of 1 in N 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [taylor]: Taking taylor expansion of N in N 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (+ 0 1) into 1 5.792 * [backup-simplify]: Simplify (/ 1 1) into 1 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (+ 1 0) into 1 5.793 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.793 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (+ 0 0) into 0 5.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify (+ 0 0) into 0 5.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify (+ 0 0) into 0 5.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (+ 0 0) into 0 5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (+ 0 0) into 0 5.797 * [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 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify (+ 0 0) into 0 5.797 * [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 5.797 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 5.798 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 5.798 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 5.798 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.798 * [taylor]: Taking taylor expansion of N in N 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.798 * [taylor]: Taking taylor expansion of N in N 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [taylor]: Taking taylor expansion of 1 in N 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.798 * [taylor]: Taking taylor expansion of N in N 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.798 * [taylor]: Taking taylor expansion of N in N 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (/ 1 1) into 1 5.799 * [taylor]: Taking taylor expansion of 1 in N 5.799 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (+ 1 0) into 1 5.799 * [backup-simplify]: Simplify (* 0 1) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify (+ 0 1) into 1 5.800 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.800 * [backup-simplify]: Simplify 1 into 1 5.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (+ 0 0) into 0 5.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.802 * [backup-simplify]: Simplify 1 into 1 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.804 * [backup-simplify]: Simplify (+ 0 0) into 0 5.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (+ 0 0) into 0 5.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ 0 0) into 0 5.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.812 * [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 5.813 * [backup-simplify]: Simplify (+ 0 0) into 0 5.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.815 * [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 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 5.817 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 5.817 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 5.817 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.817 * [taylor]: Taking taylor expansion of -1 in N 5.817 * [backup-simplify]: Simplify -1 into -1 5.817 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.817 * [taylor]: Taking taylor expansion of N in N 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.817 * [taylor]: Taking taylor expansion of 1 in N 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.817 * [taylor]: Taking taylor expansion of N in N 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ 1 1) into 1 5.817 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.817 * [taylor]: Taking taylor expansion of -1 in N 5.817 * [backup-simplify]: Simplify -1 into -1 5.817 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.817 * [taylor]: Taking taylor expansion of N in N 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.817 * [taylor]: Taking taylor expansion of 1 in N 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.817 * [taylor]: Taking taylor expansion of N in N 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (/ 1 1) into 1 5.818 * [backup-simplify]: Simplify (- 1) into -1 5.818 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.818 * [backup-simplify]: Simplify (* 0 -1) into 0 5.819 * [backup-simplify]: Simplify (* -1 0) into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (- 0) into 0 5.820 * [backup-simplify]: Simplify (+ 1 0) into 1 5.820 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.821 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.821 * [backup-simplify]: Simplify (- 0) into 0 5.822 * [backup-simplify]: Simplify (+ 0 0) into 0 5.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.823 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.823 * [backup-simplify]: Simplify -1 into -1 5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.824 * [backup-simplify]: Simplify (- 0) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.825 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.826 * [backup-simplify]: Simplify (- 0) into 0 5.826 * [backup-simplify]: Simplify (+ 0 0) into 0 5.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- 0) into 0 5.829 * [backup-simplify]: Simplify (+ 0 0) into 0 5.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 5.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (- 0) into 0 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 5.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 5.834 * [backup-simplify]: Simplify 0 into 0 5.835 * [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 5.835 * [backup-simplify]: Simplify (- 0) into 0 5.835 * [backup-simplify]: Simplify (+ 0 0) into 0 5.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 5.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 5.838 * [backup-simplify]: Simplify 0 into 0 5.838 * [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 5.839 * [backup-simplify]: Simplify (- 0) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 5.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 5.842 * * * [progress]: simplifying candidates 5.842 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 5.842 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 5.843 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 5.843 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 5.844 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 5.844 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 5.845 * [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) 5.846 * * [simplify]: iteration 1: (106 enodes) 5.886 * * [simplify]: iteration 2: (232 enodes) 5.977 * * [simplify]: iteration 3: (507 enodes) 6.220 * * [simplify]: iteration 4: (1527 enodes) 8.285 * * [simplify]: Extracting #0: cost 69 inf + 0 8.286 * * [simplify]: Extracting #1: cost 576 inf + 2 8.293 * * [simplify]: Extracting #2: cost 1046 inf + 18628 8.333 * * [simplify]: Extracting #3: cost 545 inf + 125702 8.418 * * [simplify]: Extracting #4: cost 61 inf + 251677 8.489 * * [simplify]: Extracting #5: cost 3 inf + 275963 8.553 * * [simplify]: Extracting #6: cost 0 inf + 277372 8.636 * [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)) (/ (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 (* -1/2 N) (- N (log N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 8.642 * * * [progress]: adding candidates to table 9.150 * * [progress]: iteration 3 / 4 9.150 * * * [progress]: picking best candidate 9.157 * * * * [pick]: Picked # 9.157 * * * [progress]: localizing error 9.176 * * * [progress]: generating rewritten candidates 9.176 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.226 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.238 * * * [progress]: generating series expansions 9.238 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.238 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N)))) into (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) 9.238 * [approximate]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in (N) around 0 9.238 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in N 9.238 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 9.238 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 9.238 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.238 * [taylor]: Taking taylor expansion of N in N 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [taylor]: Taking taylor expansion of 1 in N 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.239 * [taylor]: Taking taylor expansion of N in N 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [backup-simplify]: Simplify (/ 1 1) into 1 9.240 * [backup-simplify]: Simplify (sqrt 0) into 0 9.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.241 * [backup-simplify]: Simplify (+ 0 1) into 1 9.241 * [backup-simplify]: Simplify (* 1 0) into 0 9.241 * [backup-simplify]: Simplify (+ 1 0) into 1 9.242 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 9.243 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.243 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.243 * [taylor]: Taking taylor expansion of N in N 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [backup-simplify]: Simplify (sqrt 0) into 0 9.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.244 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.245 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in N 9.245 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 9.245 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 9.245 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.245 * [taylor]: Taking taylor expansion of N in N 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.245 * [taylor]: Taking taylor expansion of 1 in N 9.245 * [backup-simplify]: Simplify 1 into 1 9.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.245 * [taylor]: Taking taylor expansion of N in N 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.245 * [backup-simplify]: Simplify (/ 1 1) into 1 9.245 * [backup-simplify]: Simplify (sqrt 0) into 0 9.246 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.246 * [backup-simplify]: Simplify (+ 0 1) into 1 9.247 * [backup-simplify]: Simplify (* 1 0) into 0 9.247 * [backup-simplify]: Simplify (+ 1 0) into 1 9.248 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 9.248 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.249 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.249 * [taylor]: Taking taylor expansion of N in N 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (/ 1 1) into 1 9.249 * [backup-simplify]: Simplify (sqrt 0) into 0 9.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.250 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.251 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log +nan.0)) into (+ (log (- +nan.0)) (log +nan.0)) 9.252 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log +nan.0)) into (+ (log (- +nan.0)) (log +nan.0)) 9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.255 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.255 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 9.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.264 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.268 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.268 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.273 * [backup-simplify]: Simplify (+ 0 0) into 0 9.276 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.315 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.317 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (+ (log (- +nan.0)) (log +nan.0)))) into (- (+ (log (- +nan.0)) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.317 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt (/ 1 N)))) (log (/ (+ 1 (/ 1 N)) (sqrt (/ 1 N))))) into (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) 9.317 * [approximate]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in (N) around 0 9.317 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in N 9.317 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.317 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.317 * [taylor]: Taking taylor expansion of N in N 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (sqrt 0) into 0 9.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.319 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.319 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 9.319 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 9.319 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.319 * [taylor]: Taking taylor expansion of N in N 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [backup-simplify]: Simplify (sqrt 0) into 0 9.320 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.320 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.320 * [taylor]: Taking taylor expansion of N in N 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (/ 1 1) into 1 9.320 * [taylor]: Taking taylor expansion of 1 in N 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (+ 1 0) into 1 9.321 * [backup-simplify]: Simplify (* 0 1) into 0 9.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.321 * [backup-simplify]: Simplify (+ 0 1) into 1 9.322 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 9.323 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.323 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in N 9.323 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.323 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.323 * [taylor]: Taking taylor expansion of N in N 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify 1 into 1 9.323 * [backup-simplify]: Simplify (sqrt 0) into 0 9.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.325 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.325 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 9.325 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 9.325 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.325 * [taylor]: Taking taylor expansion of N in N 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify 1 into 1 9.325 * [backup-simplify]: Simplify (sqrt 0) into 0 9.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.326 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.326 * [taylor]: Taking taylor expansion of N in N 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify 1 into 1 9.326 * [backup-simplify]: Simplify (/ 1 1) into 1 9.326 * [taylor]: Taking taylor expansion of 1 in N 9.326 * [backup-simplify]: Simplify 1 into 1 9.327 * [backup-simplify]: Simplify (+ 1 0) into 1 9.327 * [backup-simplify]: Simplify (* 0 1) into 0 9.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.328 * [backup-simplify]: Simplify (+ 0 1) into 1 9.329 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 9.329 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.330 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.331 * [backup-simplify]: Simplify (+ (+ (log N) (log +nan.0)) (log (- +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.332 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.334 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.338 * [backup-simplify]: Simplify (+ 0 0) into 0 9.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 9.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.348 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.348 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.366 * [backup-simplify]: Simplify (+ 0 0) into 0 9.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 9.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.390 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.390 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.392 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.393 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt (/ 1 (- N))))) (log (/ (+ 1 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) into (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) 9.393 * [approximate]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.393 * [taylor]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 9.393 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.393 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 9.393 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.393 * [taylor]: Taking taylor expansion of 1 in N 9.393 * [backup-simplify]: Simplify 1 into 1 9.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.393 * [taylor]: Taking taylor expansion of N in N 9.393 * [backup-simplify]: Simplify 0 into 0 9.393 * [backup-simplify]: Simplify 1 into 1 9.393 * [backup-simplify]: Simplify (/ 1 1) into 1 9.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.393 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.394 * [taylor]: Taking taylor expansion of -1 in N 9.394 * [backup-simplify]: Simplify -1 into -1 9.394 * [taylor]: Taking taylor expansion of N in N 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify 1 into 1 9.394 * [backup-simplify]: Simplify (/ -1 1) into -1 9.394 * [backup-simplify]: Simplify (sqrt 0) into 0 9.396 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.396 * [backup-simplify]: Simplify (- 1) into -1 9.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.397 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.397 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.397 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 9.397 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.397 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.397 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.397 * [taylor]: Taking taylor expansion of -1 in N 9.397 * [backup-simplify]: Simplify -1 into -1 9.397 * [taylor]: Taking taylor expansion of N in N 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.400 * [backup-simplify]: Simplify (/ -1 1) into -1 9.401 * [backup-simplify]: Simplify (sqrt 0) into 0 9.402 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.402 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.403 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.403 * [taylor]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 9.403 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.403 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 9.403 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.403 * [taylor]: Taking taylor expansion of 1 in N 9.403 * [backup-simplify]: Simplify 1 into 1 9.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.403 * [taylor]: Taking taylor expansion of N in N 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [backup-simplify]: Simplify 1 into 1 9.403 * [backup-simplify]: Simplify (/ 1 1) into 1 9.403 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.403 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.403 * [taylor]: Taking taylor expansion of -1 in N 9.403 * [backup-simplify]: Simplify -1 into -1 9.403 * [taylor]: Taking taylor expansion of N in N 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [backup-simplify]: Simplify 1 into 1 9.404 * [backup-simplify]: Simplify (/ -1 1) into -1 9.404 * [backup-simplify]: Simplify (sqrt 0) into 0 9.405 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.406 * [backup-simplify]: Simplify (- 1) into -1 9.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.407 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.407 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.407 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 9.407 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.407 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.407 * [taylor]: Taking taylor expansion of -1 in N 9.407 * [backup-simplify]: Simplify -1 into -1 9.407 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [backup-simplify]: Simplify (/ -1 1) into -1 9.408 * [backup-simplify]: Simplify (sqrt 0) into 0 9.408 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.409 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.409 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.409 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.410 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (log +nan.0)) into (- (* 2 (log +nan.0)) (log N)) 9.411 * [backup-simplify]: Simplify (- (* 2 (log +nan.0)) (log N)) into (- (* 2 (log +nan.0)) (log N)) 9.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.411 * [backup-simplify]: Simplify (- 0) into 0 9.412 * [backup-simplify]: Simplify (+ 1 0) into 1 9.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.416 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.422 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.424 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.428 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.428 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.429 * [backup-simplify]: Simplify (- 0) into 0 9.429 * [backup-simplify]: Simplify (+ 0 0) into 0 9.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.435 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.450 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.460 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.460 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.462 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (* 2 (log +nan.0)) (log (/ 1 (- N)))))) into (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 9.462 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.462 * [backup-simplify]: Simplify (/ (+ 1 N) (sqrt N)) into (* (+ N 1) (sqrt (/ 1 N))) 9.462 * [approximate]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in (N) around 0 9.462 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 9.462 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of 1 in N 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (/ 1 1) into 1 9.463 * [backup-simplify]: Simplify (sqrt 0) into 0 9.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.464 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 9.464 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.464 * [taylor]: Taking taylor expansion of N in N 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [taylor]: Taking taylor expansion of 1 in N 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.464 * [taylor]: Taking taylor expansion of N in N 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [backup-simplify]: Simplify (/ 1 1) into 1 9.464 * [backup-simplify]: Simplify (sqrt 0) into 0 9.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.466 * [backup-simplify]: Simplify (+ 0 1) into 1 9.466 * [backup-simplify]: Simplify (* 1 0) into 0 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify (+ 1 0) into 1 9.467 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 9.467 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.470 * [backup-simplify]: Simplify (+ 0 0) into 0 9.471 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 9.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.475 * [backup-simplify]: Simplify (+ 0 0) into 0 9.477 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.477 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.478 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.478 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1)) 9.478 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in (N) around 0 9.478 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 9.478 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.478 * [taylor]: Taking taylor expansion of N in N 9.478 * [backup-simplify]: Simplify 0 into 0 9.478 * [backup-simplify]: Simplify 1 into 1 9.478 * [backup-simplify]: Simplify (sqrt 0) into 0 9.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.479 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.479 * [taylor]: Taking taylor expansion of N in N 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify (/ 1 1) into 1 9.480 * [taylor]: Taking taylor expansion of 1 in N 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 9.480 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.480 * [taylor]: Taking taylor expansion of N in N 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify (sqrt 0) into 0 9.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.481 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.481 * [taylor]: Taking taylor expansion of N in N 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (/ 1 1) into 1 9.481 * [taylor]: Taking taylor expansion of 1 in N 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (+ 1 0) into 1 9.482 * [backup-simplify]: Simplify (* 0 1) into 0 9.482 * [backup-simplify]: Simplify 0 into 0 9.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.483 * [backup-simplify]: Simplify (+ 0 1) into 1 9.483 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 9.484 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (+ 0 0) into 0 9.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 9.492 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.493 * [backup-simplify]: Simplify (+ 0 0) into 0 9.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 9.500 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.501 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.502 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (sqrt (/ 1 (- N)))) into (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 9.502 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 9.502 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 9.502 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.502 * [taylor]: Taking taylor expansion of 1 in N 9.502 * [backup-simplify]: Simplify 1 into 1 9.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.502 * [taylor]: Taking taylor expansion of N in N 9.502 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify 1 into 1 9.502 * [backup-simplify]: Simplify (/ 1 1) into 1 9.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.502 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.502 * [taylor]: Taking taylor expansion of -1 in N 9.503 * [backup-simplify]: Simplify -1 into -1 9.503 * [taylor]: Taking taylor expansion of N in N 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (/ -1 1) into -1 9.503 * [backup-simplify]: Simplify (sqrt 0) into 0 9.505 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.505 * [backup-simplify]: Simplify (- 1) into -1 9.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.506 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.506 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 9.506 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.506 * [taylor]: Taking taylor expansion of 1 in N 9.506 * [backup-simplify]: Simplify 1 into 1 9.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.506 * [taylor]: Taking taylor expansion of N in N 9.506 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (/ 1 1) into 1 9.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.506 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.506 * [taylor]: Taking taylor expansion of -1 in N 9.507 * [backup-simplify]: Simplify -1 into -1 9.507 * [taylor]: Taking taylor expansion of N in N 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [backup-simplify]: Simplify (/ -1 1) into -1 9.507 * [backup-simplify]: Simplify (sqrt 0) into 0 9.509 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.509 * [backup-simplify]: Simplify (- 1) into -1 9.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.510 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.511 * [backup-simplify]: Simplify (- 0) into 0 9.512 * [backup-simplify]: Simplify (+ 1 0) into 1 9.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.515 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.517 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.518 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.519 * [backup-simplify]: Simplify (- 0) into 0 9.519 * [backup-simplify]: Simplify (+ 0 0) into 0 9.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.528 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.528 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.529 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 9.529 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.529 * [backup-simplify]: Simplify (/ 1 (sqrt N)) into (sqrt (/ 1 N)) 9.529 * [approximate]: Taking taylor expansion of (sqrt (/ 1 N)) in (N) around 0 9.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.529 * [taylor]: Taking taylor expansion of N in N 9.529 * [backup-simplify]: Simplify 0 into 0 9.529 * [backup-simplify]: Simplify 1 into 1 9.530 * [backup-simplify]: Simplify (/ 1 1) into 1 9.530 * [backup-simplify]: Simplify (sqrt 0) into 0 9.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.531 * [taylor]: Taking taylor expansion of N in N 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify 1 into 1 9.532 * [backup-simplify]: Simplify (/ 1 1) into 1 9.532 * [backup-simplify]: Simplify (sqrt 0) into 0 9.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.537 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.541 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.541 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 N))) into (sqrt N) 9.541 * [approximate]: Taking taylor expansion of (sqrt N) in (N) around 0 9.541 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.541 * [taylor]: Taking taylor expansion of N in N 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.542 * [backup-simplify]: Simplify (sqrt 0) into 0 9.543 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.543 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.543 * [taylor]: Taking taylor expansion of N in N 9.543 * [backup-simplify]: Simplify 0 into 0 9.543 * [backup-simplify]: Simplify 1 into 1 9.543 * [backup-simplify]: Simplify (sqrt 0) into 0 9.544 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.545 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.547 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.551 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.551 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.551 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- N)))) into (/ 1 (sqrt (/ -1 N))) 9.551 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in (N) around 0 9.551 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.552 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.552 * [taylor]: Taking taylor expansion of -1 in N 9.552 * [backup-simplify]: Simplify -1 into -1 9.552 * [taylor]: Taking taylor expansion of N in N 9.552 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify 1 into 1 9.552 * [backup-simplify]: Simplify (/ -1 1) into -1 9.552 * [backup-simplify]: Simplify (sqrt 0) into 0 9.554 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.554 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.554 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.554 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.555 * [taylor]: Taking taylor expansion of -1 in N 9.555 * [backup-simplify]: Simplify -1 into -1 9.555 * [taylor]: Taking taylor expansion of N in N 9.555 * [backup-simplify]: Simplify 0 into 0 9.555 * [backup-simplify]: Simplify 1 into 1 9.555 * [backup-simplify]: Simplify (/ -1 1) into -1 9.555 * [backup-simplify]: Simplify (sqrt 0) into 0 9.557 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.557 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.557 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.563 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.563 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.572 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.573 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.574 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.574 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.574 * [backup-simplify]: Simplify (log (/ 1 (sqrt N))) into (log (sqrt (/ 1 N))) 9.574 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 9.574 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.574 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.574 * [taylor]: Taking taylor expansion of N in N 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 1 into 1 9.574 * [backup-simplify]: Simplify (/ 1 1) into 1 9.575 * [backup-simplify]: Simplify (sqrt 0) into 0 9.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.577 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.577 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.577 * [taylor]: Taking taylor expansion of N in N 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify 1 into 1 9.577 * [backup-simplify]: Simplify (/ 1 1) into 1 9.578 * [backup-simplify]: Simplify (sqrt 0) into 0 9.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.580 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.580 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.584 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.611 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.612 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.612 * [backup-simplify]: Simplify (log (/ 1 (sqrt (/ 1 N)))) into (log (sqrt N)) 9.612 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 9.612 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.612 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.612 * [taylor]: Taking taylor expansion of N in N 9.612 * [backup-simplify]: Simplify 0 into 0 9.612 * [backup-simplify]: Simplify 1 into 1 9.613 * [backup-simplify]: Simplify (sqrt 0) into 0 9.614 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.615 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.615 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.615 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.615 * [taylor]: Taking taylor expansion of N in N 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 1 into 1 9.615 * [backup-simplify]: Simplify (sqrt 0) into 0 9.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.617 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.618 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.618 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.624 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.628 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.640 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.640 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.640 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (+ (log (/ 1 N)) (log +nan.0)))) into (- (+ (log (/ 1 N)) (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.640 * [backup-simplify]: Simplify (log (/ 1 (sqrt (/ 1 (- N))))) into (log (/ 1 (sqrt (/ -1 N)))) 9.640 * [approximate]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in (N) around 0 9.640 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 9.640 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.641 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.641 * [taylor]: Taking taylor expansion of -1 in N 9.641 * [backup-simplify]: Simplify -1 into -1 9.641 * [taylor]: Taking taylor expansion of N in N 9.641 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify 1 into 1 9.641 * [backup-simplify]: Simplify (/ -1 1) into -1 9.641 * [backup-simplify]: Simplify (sqrt 0) into 0 9.642 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.642 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.642 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.643 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 9.643 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.643 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.643 * [taylor]: Taking taylor expansion of -1 in N 9.643 * [backup-simplify]: Simplify -1 into -1 9.643 * [taylor]: Taking taylor expansion of N in N 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [backup-simplify]: Simplify (/ -1 1) into -1 9.643 * [backup-simplify]: Simplify (sqrt 0) into 0 9.644 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.644 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.645 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.645 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.647 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.649 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.653 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.658 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.668 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.669 * * * [progress]: simplifying candidates 9.669 * * * * [progress]: [ 1 / 232 ] simplifiying candidate # 9.669 * * * * [progress]: [ 2 / 232 ] simplifiying candidate # 9.669 * * * * [progress]: [ 3 / 232 ] simplifiying candidate # 9.669 * * * * [progress]: [ 4 / 232 ] simplifiying candidate # 9.669 * * * * [progress]: [ 5 / 232 ] simplifiying candidate # 9.669 * * * * [progress]: [ 6 / 232 ] simplifiying candidate # 9.669 * * * * 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simplifiying candidate # 9.672 * * * * [progress]: [ 70 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 71 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 72 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 73 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 74 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 75 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 76 / 232 ] simplifiying candidate # 9.672 * * * * [progress]: [ 77 / 232 ] simplifiying candidate #real (real->posit16 (+ (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N)))))))> 9.673 * * * * [progress]: [ 78 / 232 ] simplifiying candidate # 9.673 * * * * [progress]: [ 79 / 232 ] simplifiying candidate # 9.673 * * * * [progress]: [ 80 / 232 ] simplifiying candidate # 9.673 * * * * [progress]: [ 81 / 232 ] simplifiying candidate # 9.673 * * * * [progress]: [ 82 / 232 ] simplifiying candidate # 9.673 * * * * [progress]: [ 83 / 232 ] simplifiying candidate # 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9.675 * * * * [progress]: [ 115 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 116 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 117 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 118 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 119 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 120 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 121 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 122 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 123 / 232 ] simplifiying candidate # 9.675 * * * * [progress]: [ 124 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 125 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 126 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 127 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 128 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 129 / 232 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) (sqrt N)))))))> 9.676 * * * * [progress]: [ 130 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 131 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 132 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 133 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 134 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 135 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 136 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 137 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 138 / 232 ] simplifiying candidate # 9.676 * * * * [progress]: [ 139 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 140 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 141 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 142 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 143 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 144 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 145 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 146 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 147 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 148 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 149 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 150 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 151 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 152 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 153 / 232 ] simplifiying candidate # 9.677 * * * * [progress]: [ 154 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 155 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 156 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 157 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 158 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 159 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 160 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 161 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 162 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 163 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 164 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 165 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 166 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 167 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 168 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 169 / 232 ] simplifiying candidate # 9.678 * * * * [progress]: [ 170 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 171 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 172 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 173 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 174 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 175 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 176 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 177 / 232 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt N))))) (log (/ (+ 1 N) (sqrt N)))))> 9.679 * * * * [progress]: [ 178 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 179 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 180 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 181 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 182 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 183 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 184 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 185 / 232 ] simplifiying candidate # 9.679 * * * * [progress]: [ 186 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 187 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 188 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 189 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 190 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 191 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 192 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 193 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 194 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 195 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 196 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 197 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 198 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 199 / 232 ] simplifiying candidate # 9.680 * * * * [progress]: [ 200 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 201 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 202 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 203 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 204 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 205 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 206 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 207 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 208 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 209 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 210 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 211 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 212 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 213 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 214 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 215 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 216 / 232 ] simplifiying candidate # 9.681 * * * * [progress]: [ 217 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 218 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 219 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 220 / 232 ] simplifiying candidate #real (real->posit16 (log (/ 1 (sqrt N))))) (log (/ (+ 1 N) (sqrt N)))))> 9.682 * * * * [progress]: [ 221 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 222 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 223 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 224 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 225 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 226 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 227 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 228 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 229 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 230 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 231 / 232 ] simplifiying candidate # 9.682 * * * * [progress]: [ 232 / 232 ] simplifiying candidate # 9.686 * [simplify]: Simplifying: (expm1 (+ (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))))) (log1p (+ (log (/ 1 (sqrt N))) 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1 (sqrt 1))) (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ 1 1)) (log (/ 1 (sqrt N))) (log 1) (log (/ 1 (sqrt N))) (log 1) (log (/ 1 (sqrt N))) (log 1) (log (sqrt N)) (log (sqrt N)) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (/ 1 (sqrt N))) (log (log (/ 1 (sqrt N)))) (exp (log (/ 1 (sqrt N)))) (* (cbrt (log (/ 1 (sqrt N)))) (cbrt (log (/ 1 (sqrt N))))) (cbrt (log (/ 1 (sqrt N)))) (* (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N)))) (log (/ 1 (sqrt N)))) (sqrt (log (/ 1 (sqrt N)))) (sqrt (log (/ 1 (sqrt N)))) (real->posit16 (log (/ 1 (sqrt N)))) (- (+ (log (- +nan.0)) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (log (/ 1 N)) (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.692 * * [simplify]: iteration 1: (280 enodes) 9.827 * * [simplify]: iteration 2: (626 enodes) 10.094 * * [simplify]: iteration 3: (1567 enodes) 13.186 * * [simplify]: Extracting #0: cost 120 inf + 0 13.190 * * [simplify]: Extracting #1: cost 670 inf + 4 13.201 * * [simplify]: Extracting #2: cost 1082 inf + 25217 13.250 * * [simplify]: Extracting #3: cost 604 inf + 161615 13.320 * * [simplify]: Extracting #4: cost 101 inf + 309703 13.422 * * [simplify]: Extracting #5: cost 7 inf + 340254 13.530 * * [simplify]: Extracting #6: cost 0 inf + 342927 13.600 * [simplify]: Simplified to: (expm1 (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (log1p (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (/ (+ N 1) N) (log (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (/ (+ N 1) N) (* (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (* (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (* (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))))) (sqrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (- (* (* (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (* (log (sqrt N)) (* (log (sqrt N)) (log (sqrt N))))) (+ (* (log (sqrt N)) (log (/ (+ N 1) (sqrt N)))) (fma (log (sqrt N)) (log (sqrt N)) (* (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))))) (* (+ (log (sqrt N)) (log (/ (+ N 1) (sqrt N)))) (- (log (sqrt N)) (log (/ (+ N 1) (sqrt N))))) (- 0 (log1p N)) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (+ (log (cbrt (/ (+ N 1) (sqrt N)))) (log (cbrt (/ (+ N 1) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt N))) (+ (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (- (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (log (sqrt N)))) (- (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (fabs (cbrt N)))) (log (sqrt N))) (- (log (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt (sqrt N))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (sqrt N))) (- (log (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt (sqrt N))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (sqrt N))) (- (log (/ (/ (sqrt (+ N 1)) (cbrt (sqrt N))) (cbrt (sqrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (+ (+ (log (sqrt N)) (log (cbrt (sqrt N)))) (log (cbrt (sqrt N))))) (- (+ (log (sqrt N)) (log (fabs (cbrt N))))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (+ (+ (log (sqrt N)) (log (cbrt (sqrt N)))) (log (cbrt (sqrt N))))) (- (+ (log (sqrt N)) (log (fabs (cbrt N))))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (+ N 1) (sqrt N))) (log (sqrt (/ 1 (sqrt N))))) (- (log (/ (+ N 1) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) (+ (- (log (sqrt N)) (log1p N)) (log (sqrt N))) (real->posit16 (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (expm1 (/ (+ N 1) (sqrt N))) (log1p (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt N))) (exp (/ (+ N 1) (sqrt N))) (/ (+ N 1) (/ (* N (sqrt N)) (* (+ N 1) (+ N 1)))) (* (cbrt (/ (+ N 1) (sqrt N))) (cbrt (/ (+ N 1) (sqrt N)))) (cbrt (/ (+ N 1) (sqrt N))) (/ (+ N 1) (/ (* N (sqrt N)) (* (+ N 1) (+ N 1)))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (- -1 N) (- (sqrt N)) (* (/ (cbrt (+ N 1)) (cbrt (sqrt N))) (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (fabs (cbrt N))) (/ (cbrt (+ N 1)) (sqrt (cbrt N))) (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt (sqrt N)))) (/ (cbrt (+ N 1)) (sqrt (sqrt N))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt (sqrt N)))) (/ (cbrt (+ N 1)) (sqrt (sqrt N))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) (sqrt N)) (/ (/ (sqrt (+ N 1)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (+ N 1)) (cbrt (sqrt N))) (/ (sqrt (+ N 1)) (fabs (cbrt N))) (/ (sqrt (+ N 1)) (sqrt (cbrt N))) (/ (sqrt (+ N 1)) (sqrt (sqrt N))) (/ (sqrt (+ N 1)) (sqrt (sqrt N))) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt (sqrt N))) (/ (sqrt (+ N 1)) (sqrt (sqrt N))) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1) (sqrt (sqrt N))) 1 (/ (+ N 1) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1) (sqrt (sqrt N))) 1 (/ (+ N 1) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1) (sqrt (sqrt N))) 1 (/ (+ N 1) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1) (sqrt (sqrt N))) 1 (/ (+ N 1) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1)) (/ (/ (+ N 1) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1) (fabs (cbrt N))) (/ (+ N 1) (sqrt (sqrt N))) (+ N 1) (/ (+ N 1) (sqrt (sqrt N))) (+ N 1) (/ (sqrt N) (cbrt (+ N 1))) (/ (sqrt N) (sqrt (+ N 1))) (/ (sqrt N) (+ N 1)) (/ (sqrt N) (+ N 1)) (fma (- (* N N) N) (sqrt N) (sqrt N)) (* (sqrt N) (- 1 N)) (real->posit16 (/ (+ N 1) (sqrt N))) (expm1 (/ 1 (sqrt N))) (log1p (/ 1 (sqrt N))) -1/2 -1 -1/2 (- (log (sqrt N))) (- (log (sqrt N))) (- (log (sqrt N))) (- (log (sqrt N))) (exp (/ 1 (sqrt N))) (/ (/ 1 N) (sqrt N)) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (cbrt (/ 1 (sqrt N))) (/ (/ 1 N) (sqrt N)) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))) -1 (- (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt N)) (sqrt N) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt (sqrt N))) 1 (sqrt N) (sqrt N) (sqrt N) (real->posit16 (/ 1 (sqrt N))) (expm1 (- (log (sqrt N)))) (log1p (- (log (sqrt N)))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ 1 (sqrt N))))) (log (cbrt (/ 1 (sqrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ 1 (sqrt N)))) (- (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (log (cbrt (sqrt N)))) (- (log (fabs (cbrt N)))) (- (log (sqrt (cbrt N)))) (- (log (sqrt (sqrt N)))) (- (log (sqrt (sqrt N)))) 0 (- (log (sqrt N))) (- (log (sqrt (sqrt N)))) (- (log (sqrt (sqrt N)))) 0 (- (log (sqrt N))) (- (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (log (cbrt (sqrt N)))) (- (log (fabs (cbrt N)))) (- (log (sqrt (cbrt N)))) (- (log (sqrt (sqrt N)))) (- (log (sqrt (sqrt N)))) 0 (- (log (sqrt N))) (- (log (sqrt (sqrt N)))) (- (log (sqrt (sqrt N)))) 0 (- (log (sqrt N))) (- (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (log (cbrt (sqrt N)))) (- (log (fabs (cbrt N)))) (- (log (sqrt (cbrt N)))) (- (log (sqrt (sqrt N)))) (- (log (sqrt (sqrt N)))) 0 (- (log (sqrt N))) (- (log (sqrt (sqrt N)))) (- (log (sqrt (sqrt N)))) 0 (- (log (sqrt N))) 0 (- (log (sqrt N))) 0 (- (log (sqrt N))) 0 (log (sqrt N)) (log (sqrt N)) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (- (log (sqrt N))) (log (- (log (sqrt N)))) (/ 1 (sqrt N)) (* (cbrt (- (log (sqrt N)))) (cbrt (- (log (sqrt N))))) (cbrt (- (log (sqrt N)))) (* (* (log (sqrt N)) (log (sqrt N))) (- (log (sqrt N)))) (sqrt (- (log (sqrt N)))) (sqrt (- (log (sqrt N)))) (real->posit16 (- (log (sqrt N)))) (- (log +nan.0) (- (* (- N (* N N)) +nan.0) (log (- +nan.0)))) (+ (- (log +nan.0) (- (log N) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (log (- +nan.0))) (- (- (* (log +nan.0) 2) (fma +nan.0 (/ -1 N) (log (/ -1 N)))) (/ +nan.0 (* N N))) (- (* (- N) +nan.0) (fma (* (- N) +nan.0) N +nan.0)) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) (fma (/ -1 N) +nan.0 (- (* +nan.0 N) +nan.0)) (- (* (- N) +nan.0) (fma (* (- N) +nan.0) N +nan.0)) (- (- (/ +nan.0 (* N N)) (- (/ (/ +nan.0 (* N N)) N) (/ +nan.0 N)))) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) (- (log +nan.0) (* (- N (* N N)) +nan.0)) (- (log +nan.0) (- (log N) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (+ (log +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N)))) 13.620 * * * [progress]: adding candidates to table 15.706 * * [progress]: iteration 4 / 4 15.706 * * * [progress]: picking best candidate 15.713 * * * * [pick]: Picked # 15.713 * * * [progress]: localizing error 15.732 * * * [progress]: generating rewritten candidates 15.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 15.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 1) 15.747 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 15.760 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 15.761 * * * [progress]: generating series expansions 15.761 * * * * [progress]: [ 1 / 4 ] generating series at (2) 15.762 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))) into (fma 1/3 (/ 1 (pow N 3)) (fma (/ 1 (pow N 2)) -1/2 (/ 1 N))) 15.762 * [approximate]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (fma (/ 1 (pow N 2)) -1/2 (/ 1 N))) in (N) around 0 15.762 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (fma (/ 1 (pow N 2)) -1/2 (/ 1 N))) in N 15.762 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (fma (/ 1 (pow N 2)) -1/2 (/ 1 N))) 15.762 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 15.762 * [taylor]: Taking taylor expansion of 1/3 in N 15.762 * [backup-simplify]: Simplify 1/3 into 1/3 15.763 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.763 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.763 * [taylor]: Taking taylor expansion of N in N 15.763 * [backup-simplify]: Simplify 0 into 0 15.763 * [backup-simplify]: Simplify 1 into 1 15.764 * [backup-simplify]: Simplify (* 1 1) into 1 15.764 * [backup-simplify]: Simplify (* 1 1) into 1 15.764 * [backup-simplify]: Simplify (/ 1 1) into 1 15.765 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1 N)) in N 15.765 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1 N)) 15.765 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 15.765 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.765 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.765 * [taylor]: Taking taylor expansion of N in N 15.765 * [backup-simplify]: Simplify 0 into 0 15.765 * [backup-simplify]: Simplify 1 into 1 15.765 * [backup-simplify]: Simplify (* 1 1) into 1 15.765 * [backup-simplify]: Simplify (/ 1 1) into 1 15.765 * [taylor]: Taking taylor expansion of -1/2 in N 15.765 * [backup-simplify]: Simplify -1/2 into -1/2 15.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.765 * [taylor]: Taking taylor expansion of N in N 15.765 * [backup-simplify]: Simplify 0 into 0 15.765 * [backup-simplify]: Simplify 1 into 1 15.766 * [backup-simplify]: Simplify (/ 1 1) into 1 15.766 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (fma (/ 1 (pow N 2)) -1/2 (/ 1 N))) in N 15.766 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (fma (/ 1 (pow N 2)) -1/2 (/ 1 N))) 15.766 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 15.766 * [taylor]: Taking taylor expansion of 1/3 in N 15.766 * [backup-simplify]: Simplify 1/3 into 1/3 15.766 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.766 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.766 * [taylor]: Taking taylor expansion of N in N 15.766 * [backup-simplify]: Simplify 0 into 0 15.766 * [backup-simplify]: Simplify 1 into 1 15.766 * [backup-simplify]: Simplify (* 1 1) into 1 15.766 * [backup-simplify]: Simplify (* 1 1) into 1 15.767 * [backup-simplify]: Simplify (/ 1 1) into 1 15.767 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1 N)) in N 15.767 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1 N)) 15.767 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 15.767 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.767 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.767 * [taylor]: Taking taylor expansion of N in N 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 1 into 1 15.767 * [backup-simplify]: Simplify (* 1 1) into 1 15.767 * [backup-simplify]: Simplify (/ 1 1) into 1 15.767 * [taylor]: Taking taylor expansion of -1/2 in N 15.767 * [backup-simplify]: Simplify -1/2 into -1/2 15.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.767 * [taylor]: Taking taylor expansion of N in N 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 1 into 1 15.768 * [backup-simplify]: Simplify (/ 1 1) into 1 15.768 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 15.768 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 15.768 * [backup-simplify]: Simplify 1/3 into 1/3 15.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 15.770 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 15.771 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 15.771 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 15.771 * [backup-simplify]: Simplify -1/2 into -1/2 15.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 15.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 15.774 * [backup-simplify]: Simplify (+ 0 1) into 1 15.775 * [backup-simplify]: Simplify (+ 0 1) into 1 15.775 * [backup-simplify]: Simplify 1 into 1 15.775 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 15.775 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (* (/ 1 N) (/ 1 N))) (/ 1 N)) (fma (/ 1 (* (/ 1 N) (/ 1 N))) -1/2 (/ 1 (/ 1 N)))) into (fma 1/3 (pow N 3) (fma (pow N 2) -1/2 N)) 15.775 * [approximate]: Taking taylor expansion of (fma 1/3 (pow N 3) (fma (pow N 2) -1/2 N)) in (N) around 0 15.775 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) (fma (pow N 2) -1/2 N)) in N 15.775 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) (fma (pow N 2) -1/2 N)) 15.775 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 15.775 * [taylor]: Taking taylor expansion of 1/3 in N 15.775 * [backup-simplify]: Simplify 1/3 into 1/3 15.775 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.775 * [taylor]: Taking taylor expansion of N in N 15.775 * [backup-simplify]: Simplify 0 into 0 15.775 * [backup-simplify]: Simplify 1 into 1 15.775 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 N) in N 15.776 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) N) 15.776 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.776 * [taylor]: Taking taylor expansion of N in N 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 1 into 1 15.776 * [taylor]: Taking taylor expansion of -1/2 in N 15.776 * [backup-simplify]: Simplify -1/2 into -1/2 15.776 * [taylor]: Taking taylor expansion of N in N 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 1 into 1 15.776 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) (fma (pow N 2) -1/2 N)) in N 15.776 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) (fma (pow N 2) -1/2 N)) 15.776 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 15.776 * [taylor]: Taking taylor expansion of 1/3 in N 15.776 * [backup-simplify]: Simplify 1/3 into 1/3 15.776 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.776 * [taylor]: Taking taylor expansion of N in N 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 1 into 1 15.776 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 N) in N 15.776 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) N) 15.776 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.776 * [taylor]: Taking taylor expansion of N in N 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 1 into 1 15.776 * [taylor]: Taking taylor expansion of -1/2 in N 15.776 * [backup-simplify]: Simplify -1/2 into -1/2 15.776 * [taylor]: Taking taylor expansion of N in N 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 1 into 1 15.776 * [backup-simplify]: Simplify (+ 0 0) into 0 15.777 * [backup-simplify]: Simplify (+ 0 0) into 0 15.777 * [backup-simplify]: Simplify 0 into 0 15.777 * [backup-simplify]: Simplify (+ 0 1) into 1 15.777 * [backup-simplify]: Simplify (+ 0 1) into 1 15.777 * [backup-simplify]: Simplify 1 into 1 15.777 * [backup-simplify]: Simplify (* 1 1) into 1 15.778 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 15.778 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 15.778 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 15.778 * [backup-simplify]: Simplify -1/2 into -1/2 15.778 * [backup-simplify]: Simplify (* 1 1) into 1 15.779 * [backup-simplify]: Simplify (* 1 1) into 1 15.779 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 15.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 15.780 * [backup-simplify]: Simplify (+ 0 0) into 0 15.780 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 15.780 * [backup-simplify]: Simplify 1/3 into 1/3 15.781 * [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)))) 15.781 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N))) (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) -1/2 (/ 1 (/ 1 (- N))))) into (fma 1/3 (* -1 (pow N 3)) (fma (pow N 2) -1/2 (* -1 N))) 15.781 * [approximate]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (fma (pow N 2) -1/2 (* -1 N))) in (N) around 0 15.781 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (fma (pow N 2) -1/2 (* -1 N))) in N 15.781 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (fma (pow N 2) -1/2 (* -1 N))) 15.781 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 15.781 * [taylor]: Taking taylor expansion of 1/3 in N 15.781 * [backup-simplify]: Simplify 1/3 into 1/3 15.781 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 15.781 * [taylor]: Taking taylor expansion of -1 in N 15.781 * [backup-simplify]: Simplify -1 into -1 15.781 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.781 * [taylor]: Taking taylor expansion of N in N 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 1 into 1 15.781 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1 N)) in N 15.781 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1 N)) 15.781 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.781 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.781 * [taylor]: Taking taylor expansion of N in N 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 1 into 1 15.781 * [taylor]: Taking taylor expansion of -1/2 in N 15.781 * [backup-simplify]: Simplify -1/2 into -1/2 15.781 * [taylor]: Taking taylor expansion of (* -1 N) in N 15.781 * [taylor]: Taking taylor expansion of -1 in N 15.781 * [backup-simplify]: Simplify -1 into -1 15.781 * [taylor]: Taking taylor expansion of N in N 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 1 into 1 15.781 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (fma (pow N 2) -1/2 (* -1 N))) in N 15.781 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (fma (pow N 2) -1/2 (* -1 N))) 15.781 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 15.781 * [taylor]: Taking taylor expansion of 1/3 in N 15.781 * [backup-simplify]: Simplify 1/3 into 1/3 15.781 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 15.781 * [taylor]: Taking taylor expansion of -1 in N 15.781 * [backup-simplify]: Simplify -1 into -1 15.781 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.781 * [taylor]: Taking taylor expansion of N in N 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 1 into 1 15.782 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1 N)) in N 15.782 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1 N)) 15.782 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.782 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.782 * [taylor]: Taking taylor expansion of N in N 15.782 * [backup-simplify]: Simplify 0 into 0 15.782 * [backup-simplify]: Simplify 1 into 1 15.782 * [taylor]: Taking taylor expansion of -1/2 in N 15.782 * [backup-simplify]: Simplify -1/2 into -1/2 15.782 * [taylor]: Taking taylor expansion of (* -1 N) in N 15.782 * [taylor]: Taking taylor expansion of -1 in N 15.782 * [backup-simplify]: Simplify -1 into -1 15.782 * [taylor]: Taking taylor expansion of N in N 15.782 * [backup-simplify]: Simplify 0 into 0 15.782 * [backup-simplify]: Simplify 1 into 1 15.782 * [backup-simplify]: Simplify (* -1 0) into 0 15.782 * [backup-simplify]: Simplify (+ 0 0) into 0 15.783 * [backup-simplify]: Simplify (+ 0 0) into 0 15.783 * [backup-simplify]: Simplify 0 into 0 15.783 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.784 * [backup-simplify]: Simplify -1 into -1 15.784 * [backup-simplify]: Simplify (* 1 1) into 1 15.784 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 15.785 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 15.785 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 15.785 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 15.785 * [backup-simplify]: Simplify -1/2 into -1/2 15.786 * [backup-simplify]: Simplify (* 1 1) into 1 15.786 * [backup-simplify]: Simplify (* 1 1) into 1 15.786 * [backup-simplify]: Simplify (* -1 1) into -1 15.787 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 15.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 15.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.788 * [backup-simplify]: Simplify (+ 0 0) into 0 15.789 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 15.789 * [backup-simplify]: Simplify -1/3 into -1/3 15.789 * [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)))) 15.789 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 1) 15.789 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 15.789 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 15.789 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.789 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.789 * [taylor]: Taking taylor expansion of N in N 15.789 * [backup-simplify]: Simplify 0 into 0 15.789 * [backup-simplify]: Simplify 1 into 1 15.790 * [backup-simplify]: Simplify (* 1 1) into 1 15.790 * [backup-simplify]: Simplify (/ 1 1) into 1 15.790 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.790 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.790 * [taylor]: Taking taylor expansion of N in N 15.790 * [backup-simplify]: Simplify 0 into 0 15.790 * [backup-simplify]: Simplify 1 into 1 15.790 * [backup-simplify]: Simplify (* 1 1) into 1 15.790 * [backup-simplify]: Simplify (/ 1 1) into 1 15.790 * [backup-simplify]: Simplify 1 into 1 15.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.791 * [backup-simplify]: Simplify 0 into 0 15.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.792 * [backup-simplify]: Simplify 0 into 0 15.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.793 * [backup-simplify]: Simplify 0 into 0 15.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.795 * [backup-simplify]: Simplify 0 into 0 15.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.796 * [backup-simplify]: Simplify 0 into 0 15.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.798 * [backup-simplify]: Simplify 0 into 0 15.798 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 15.798 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 15.798 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 15.798 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.798 * [taylor]: Taking taylor expansion of N in N 15.798 * [backup-simplify]: Simplify 0 into 0 15.798 * [backup-simplify]: Simplify 1 into 1 15.798 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.798 * [taylor]: Taking taylor expansion of N in N 15.798 * [backup-simplify]: Simplify 0 into 0 15.798 * [backup-simplify]: Simplify 1 into 1 15.798 * [backup-simplify]: Simplify (* 1 1) into 1 15.798 * [backup-simplify]: Simplify 1 into 1 15.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.800 * [backup-simplify]: Simplify 0 into 0 15.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.801 * [backup-simplify]: Simplify 0 into 0 15.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.802 * [backup-simplify]: Simplify 0 into 0 15.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.802 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 15.803 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 15.803 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 15.803 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.803 * [taylor]: Taking taylor expansion of N in N 15.803 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify 1 into 1 15.803 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.803 * [taylor]: Taking taylor expansion of N in N 15.803 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify 1 into 1 15.803 * [backup-simplify]: Simplify (* 1 1) into 1 15.803 * [backup-simplify]: Simplify 1 into 1 15.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.804 * [backup-simplify]: Simplify 0 into 0 15.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.804 * [backup-simplify]: Simplify 0 into 0 15.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.805 * [backup-simplify]: Simplify 0 into 0 15.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.805 * [backup-simplify]: Simplify 0 into 0 15.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.806 * [backup-simplify]: Simplify 0 into 0 15.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.807 * [backup-simplify]: Simplify 0 into 0 15.807 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 15.807 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 15.807 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 15.807 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 15.807 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.807 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.807 * [taylor]: Taking taylor expansion of N in N 15.807 * [backup-simplify]: Simplify 0 into 0 15.807 * [backup-simplify]: Simplify 1 into 1 15.808 * [backup-simplify]: Simplify (* 1 1) into 1 15.808 * [backup-simplify]: Simplify (/ 1 1) into 1 15.808 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.808 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.808 * [taylor]: Taking taylor expansion of N in N 15.808 * [backup-simplify]: Simplify 0 into 0 15.808 * [backup-simplify]: Simplify 1 into 1 15.808 * [backup-simplify]: Simplify (* 1 1) into 1 15.808 * [backup-simplify]: Simplify (/ 1 1) into 1 15.809 * [backup-simplify]: Simplify 1 into 1 15.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.809 * [backup-simplify]: Simplify 0 into 0 15.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.812 * [backup-simplify]: Simplify 0 into 0 15.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.813 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.814 * [backup-simplify]: Simplify 0 into 0 15.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.817 * [backup-simplify]: Simplify 0 into 0 15.817 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 15.817 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 15.817 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 15.817 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.817 * [taylor]: Taking taylor expansion of N in N 15.817 * [backup-simplify]: Simplify 0 into 0 15.817 * [backup-simplify]: Simplify 1 into 1 15.817 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.817 * [taylor]: Taking taylor expansion of N in N 15.817 * [backup-simplify]: Simplify 0 into 0 15.817 * [backup-simplify]: Simplify 1 into 1 15.818 * [backup-simplify]: Simplify (* 1 1) into 1 15.818 * [backup-simplify]: Simplify 1 into 1 15.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.818 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.819 * [backup-simplify]: Simplify 0 into 0 15.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.820 * [backup-simplify]: Simplify 0 into 0 15.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.822 * [backup-simplify]: Simplify 0 into 0 15.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.823 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.825 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 15.825 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 15.825 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 15.825 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.825 * [taylor]: Taking taylor expansion of N in N 15.825 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify 1 into 1 15.825 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.825 * [taylor]: Taking taylor expansion of N in N 15.825 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify (* 1 1) into 1 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.826 * [backup-simplify]: Simplify 0 into 0 15.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.827 * [backup-simplify]: Simplify 0 into 0 15.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.828 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.830 * [backup-simplify]: Simplify 0 into 0 15.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.831 * [backup-simplify]: Simplify 0 into 0 15.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 15.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 15.833 * [backup-simplify]: Simplify (fma (/ 1 (* N N)) -1/2 (/ 1 N)) into (fma (/ 1 (pow N 2)) -1/2 (/ 1 N)) 15.833 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1 N)) in (N) around 0 15.833 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1 N)) in N 15.833 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1 N)) 15.833 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 15.833 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.833 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.833 * [taylor]: Taking taylor expansion of N in N 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 1 into 1 15.834 * [backup-simplify]: Simplify (* 1 1) into 1 15.834 * [backup-simplify]: Simplify (/ 1 1) into 1 15.834 * [taylor]: Taking taylor expansion of -1/2 in N 15.834 * [backup-simplify]: Simplify -1/2 into -1/2 15.834 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.834 * [taylor]: Taking taylor expansion of N in N 15.834 * [backup-simplify]: Simplify 0 into 0 15.834 * [backup-simplify]: Simplify 1 into 1 15.835 * [backup-simplify]: Simplify (/ 1 1) into 1 15.835 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1 N)) in N 15.835 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1 N)) 15.835 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 15.835 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.835 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.835 * [taylor]: Taking taylor expansion of N in N 15.835 * [backup-simplify]: Simplify 0 into 0 15.835 * [backup-simplify]: Simplify 1 into 1 15.835 * [backup-simplify]: Simplify (* 1 1) into 1 15.836 * [backup-simplify]: Simplify (/ 1 1) into 1 15.836 * [taylor]: Taking taylor expansion of -1/2 in N 15.836 * [backup-simplify]: Simplify -1/2 into -1/2 15.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.836 * [taylor]: Taking taylor expansion of N in N 15.836 * [backup-simplify]: Simplify 0 into 0 15.836 * [backup-simplify]: Simplify 1 into 1 15.836 * [backup-simplify]: Simplify (/ 1 1) into 1 15.837 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 15.837 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 15.837 * [backup-simplify]: Simplify -1/2 into -1/2 15.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 15.840 * [backup-simplify]: Simplify (+ 0 1) into 1 15.840 * [backup-simplify]: Simplify 1 into 1 15.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 15.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.844 * [backup-simplify]: Simplify (+ 0 0) into 0 15.844 * [backup-simplify]: Simplify 0 into 0 15.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 15.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.855 * [backup-simplify]: Simplify (+ 0 0) into 0 15.855 * [backup-simplify]: Simplify 0 into 0 15.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 15.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.860 * [backup-simplify]: Simplify (+ 0 0) into 0 15.860 * [backup-simplify]: Simplify 0 into 0 15.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 15.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.865 * [backup-simplify]: Simplify (+ 0 0) into 0 15.865 * [backup-simplify]: Simplify 0 into 0 15.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 15.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.871 * [backup-simplify]: Simplify (+ 0 0) into 0 15.872 * [backup-simplify]: Simplify 0 into 0 15.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.874 * [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 15.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))))) into 0 15.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.878 * [backup-simplify]: Simplify (+ 0 0) into 0 15.878 * [backup-simplify]: Simplify 0 into 0 15.878 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 15.878 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) -1/2 (/ 1 (/ 1 N))) into (fma (pow N 2) -1/2 N) 15.878 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 N) in (N) around 0 15.878 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 N) in N 15.879 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) N) 15.879 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.879 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.879 * [taylor]: Taking taylor expansion of N in N 15.879 * [backup-simplify]: Simplify 0 into 0 15.879 * [backup-simplify]: Simplify 1 into 1 15.879 * [taylor]: Taking taylor expansion of -1/2 in N 15.879 * [backup-simplify]: Simplify -1/2 into -1/2 15.879 * [taylor]: Taking taylor expansion of N in N 15.879 * [backup-simplify]: Simplify 0 into 0 15.879 * [backup-simplify]: Simplify 1 into 1 15.879 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 N) in N 15.879 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) N) 15.879 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.879 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.879 * [taylor]: Taking taylor expansion of N in N 15.879 * [backup-simplify]: Simplify 0 into 0 15.879 * [backup-simplify]: Simplify 1 into 1 15.879 * [taylor]: Taking taylor expansion of -1/2 in N 15.879 * [backup-simplify]: Simplify -1/2 into -1/2 15.879 * [taylor]: Taking taylor expansion of N in N 15.879 * [backup-simplify]: Simplify 0 into 0 15.879 * [backup-simplify]: Simplify 1 into 1 15.880 * [backup-simplify]: Simplify (+ 0 0) into 0 15.880 * [backup-simplify]: Simplify 0 into 0 15.880 * [backup-simplify]: Simplify (+ 0 1) into 1 15.880 * [backup-simplify]: Simplify 1 into 1 15.881 * [backup-simplify]: Simplify (* 1 1) into 1 15.881 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 15.882 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 15.882 * [backup-simplify]: Simplify -1/2 into -1/2 15.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 15.883 * [backup-simplify]: Simplify (+ 0 0) into 0 15.883 * [backup-simplify]: Simplify 0 into 0 15.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 15.886 * [backup-simplify]: Simplify (+ 0 0) into 0 15.886 * [backup-simplify]: Simplify 0 into 0 15.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 15.888 * [backup-simplify]: Simplify (+ 0 0) into 0 15.888 * [backup-simplify]: Simplify 0 into 0 15.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 15.891 * [backup-simplify]: Simplify (+ 0 0) into 0 15.891 * [backup-simplify]: Simplify 0 into 0 15.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 15.894 * [backup-simplify]: Simplify (+ 0 0) into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 15.898 * [backup-simplify]: Simplify (+ 0 0) into 0 15.898 * [backup-simplify]: Simplify 0 into 0 15.898 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 15.898 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) -1/2 (/ 1 (/ 1 (- N)))) into (fma (pow N 2) -1/2 (* -1 N)) 15.898 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1 N)) in (N) around 0 15.898 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1 N)) in N 15.899 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1 N)) 15.899 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.899 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.899 * [taylor]: Taking taylor expansion of N in N 15.899 * [backup-simplify]: Simplify 0 into 0 15.899 * [backup-simplify]: Simplify 1 into 1 15.899 * [taylor]: Taking taylor expansion of -1/2 in N 15.899 * [backup-simplify]: Simplify -1/2 into -1/2 15.899 * [taylor]: Taking taylor expansion of (* -1 N) in N 15.899 * [taylor]: Taking taylor expansion of -1 in N 15.899 * [backup-simplify]: Simplify -1 into -1 15.899 * [taylor]: Taking taylor expansion of N in N 15.899 * [backup-simplify]: Simplify 0 into 0 15.899 * [backup-simplify]: Simplify 1 into 1 15.899 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1 N)) in N 15.899 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1 N)) 15.899 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 15.899 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.899 * [taylor]: Taking taylor expansion of N in N 15.899 * [backup-simplify]: Simplify 0 into 0 15.899 * [backup-simplify]: Simplify 1 into 1 15.899 * [taylor]: Taking taylor expansion of -1/2 in N 15.899 * [backup-simplify]: Simplify -1/2 into -1/2 15.899 * [taylor]: Taking taylor expansion of (* -1 N) in N 15.899 * [taylor]: Taking taylor expansion of -1 in N 15.899 * [backup-simplify]: Simplify -1 into -1 15.899 * [taylor]: Taking taylor expansion of N in N 15.899 * [backup-simplify]: Simplify 0 into 0 15.899 * [backup-simplify]: Simplify 1 into 1 15.900 * [backup-simplify]: Simplify (* -1 0) into 0 15.900 * [backup-simplify]: Simplify (+ 0 0) into 0 15.900 * [backup-simplify]: Simplify 0 into 0 15.901 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.901 * [backup-simplify]: Simplify -1 into -1 15.902 * [backup-simplify]: Simplify (* 1 1) into 1 15.902 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 15.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 15.904 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 15.904 * [backup-simplify]: Simplify -1/2 into -1/2 15.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 15.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.906 * [backup-simplify]: Simplify (+ 0 0) into 0 15.906 * [backup-simplify]: Simplify 0 into 0 15.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 15.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.910 * [backup-simplify]: Simplify (+ 0 0) into 0 15.910 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 15.913 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.914 * [backup-simplify]: Simplify (+ 0 0) into 0 15.914 * [backup-simplify]: Simplify 0 into 0 15.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 15.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.918 * [backup-simplify]: Simplify (+ 0 0) into 0 15.918 * [backup-simplify]: Simplify 0 into 0 15.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 15.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 15.924 * [backup-simplify]: Simplify (+ 0 0) into 0 15.924 * [backup-simplify]: Simplify 0 into 0 15.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 15.929 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 15.930 * [backup-simplify]: Simplify (+ 0 0) into 0 15.930 * [backup-simplify]: Simplify 0 into 0 15.930 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 15.930 * * * [progress]: simplifying candidates 15.930 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 15.930 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 15.930 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 15.930 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 15.930 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 11 / 104 ] simplifiying candidate #real (real->posit16 (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))))))> 15.931 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 15.931 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 23 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 15.932 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 46 / 104 ] simplifiying candidate #real (real->posit16 (/ 1 (* N N)))) -1/2 (/ 1 N))))> 15.933 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 15.933 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 15.934 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 81 / 104 ] simplifiying candidate #real (real->posit16 (/ 1 (* N N)))) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))))> 15.935 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 15.935 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (fma (/ 1 (* N N)) -1/2 (/ 1 N))))))> 15.936 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 15.936 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 15.938 * [simplify]: Simplifying: (expm1 (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (log1p (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (* 1/3 (/ (/ 1 (* N N)) N)) (log (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (exp (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (* (cbrt (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))))) (cbrt (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (* (* (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (sqrt (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (sqrt (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (real->posit16 (fma 1/3 (/ (/ 1 (* N N)) N) (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* 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) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (real->posit16 (/ 1 (* N N))) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* 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) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (real->posit16 (/ 1 (* N N))) (expm1 (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (log1p (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (* (/ 1 (* N N)) -1/2) (log (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (exp (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (* (cbrt (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (cbrt (fma (/ 1 (* N N)) -1/2 (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (* (* (fma (/ 1 (* N N)) -1/2 (/ 1 N)) (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (sqrt (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (sqrt (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (real->posit16 (fma (/ 1 (* N N)) -1/2 (/ 1 N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (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 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 15.940 * * [simplify]: iteration 1: (91 enodes) 15.982 * * [simplify]: iteration 2: (179 enodes) 16.035 * * [simplify]: iteration 3: (385 enodes) 16.445 * * [simplify]: iteration 4: (1429 enodes) 18.412 * * [simplify]: Extracting #0: cost 37 inf + 0 18.413 * * [simplify]: Extracting #1: cost 175 inf + 2 18.415 * * [simplify]: Extracting #2: cost 489 inf + 1017 18.420 * * [simplify]: Extracting #3: cost 630 inf + 12430 18.468 * * [simplify]: Extracting #4: cost 204 inf + 140637 18.539 * * [simplify]: Extracting #5: cost 6 inf + 210244 18.646 * * [simplify]: Extracting #6: cost 0 inf + 209691 18.750 * [simplify]: Simplified to: (expm1 (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (log1p (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (/ (/ 1/3 N) (* N N)) (log (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (exp (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (* (cbrt (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (cbrt (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))))) (cbrt (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (* (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (* (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))))) (sqrt (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (sqrt (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (real->posit16 (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (expm1 (* (/ 1 N) (/ 1 N))) (log1p (* (/ 1 N) (/ 1 N))) -2 -1 -2 -2 -1 -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (* (/ 1 N) (/ 1 N))) (* (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (/ 1 N) (/ 1 N)) N)) (* (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (/ 1 N) (/ 1 N)) N)) (* (cbrt (* (/ 1 N) (/ 1 N))) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (* (/ 1 N) (/ 1 N))) (* (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (/ 1 N) (/ 1 N)) N)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (* (- N) N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (* (/ 1 N) (/ 1 N)) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (real->posit16 (* (/ 1 N) (/ 1 N))) (expm1 (* (/ 1 N) (/ 1 N))) (log1p (* (/ 1 N) (/ 1 N))) -2 -1 -2 -2 -1 -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (* (/ 1 N) (/ 1 N))) (* (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (/ 1 N) (/ 1 N)) N)) (* (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (/ 1 N) (/ 1 N)) N)) (* (cbrt (* (/ 1 N) (/ 1 N))) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (* (/ 1 N) (/ 1 N))) (* (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (/ 1 N) (/ 1 N)) N)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (* (- N) N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (* (/ 1 N) (/ 1 N)) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (real->posit16 (* (/ 1 N) (/ 1 N))) (expm1 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (log1p (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (/ (/ -1/2 N) N) (log (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (exp (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (* (cbrt (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (cbrt (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)))) (cbrt (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (* (* (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (sqrt (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (sqrt (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (real->posit16 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (fma (/ (* (/ 1 N) (/ 1 N)) N) 1/3 (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N))) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) -1/2 (/ 1 N)) 18.760 * * * [progress]: adding candidates to table 19.662 * [progress]: [Phase 3 of 3] Extracting. 19.662 * * [regime]: Finding splitpoints for: (# # # # #) 19.664 * * * [regime-changes]: Trying 1 branch expressions: (N) 19.664 * * * * [regimes]: Trying to branch on N from (# # # # #) 19.730 * * * [regime]: Found split indices: #