20.360 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.098 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.098 * * [simplify]: iteration 0: 6 enodes 0.100 * * [simplify]: iteration 1: 9 enodes 0.102 * * [simplify]: iteration 2: 10 enodes 0.104 * * [simplify]: iteration complete: 10 enodes 0.104 * * [simplify]: Extracting #0: cost 1 inf + 0 0.104 * * [simplify]: Extracting #1: cost 4 inf + 0 0.104 * * [simplify]: Extracting #2: cost 6 inf + 0 0.104 * * [simplify]: Extracting #3: cost 6 inf + 1 0.104 * * [simplify]: Extracting #4: cost 0 inf + 21 0.104 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.144 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.188 * * * [progress]: generating series expansions 0.188 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.195 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.195 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.196 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.199 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.200 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.201 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.222 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.224 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.224 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.224 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.228 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.249 * [backup-simplify]: Simplify -0.5 into -0.5 0.249 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.250 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.250 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.250 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.250 * [taylor]: Taking taylor expansion of 1.0 in N 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.251 * [backup-simplify]: Simplify (log -1) into (log -1) 0.251 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.252 * [backup-simplify]: Simplify (log -1) into (log -1) 0.253 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.253 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.258 * [backup-simplify]: Simplify -1.0 into -1.0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.265 * [backup-simplify]: Simplify -0.5 into -0.5 0.265 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.265 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.266 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.266 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.266 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.266 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.266 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.266 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.266 * [taylor]: Taking taylor expansion of (log N) in N 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 0.267 * [backup-simplify]: Simplify (log 1) into 0 0.267 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.267 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.267 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 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 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.267 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.267 * [taylor]: Taking taylor expansion of (log N) in N 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 0.267 * [backup-simplify]: Simplify (log 1) into 0 0.268 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.268 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.268 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.268 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.269 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.273 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.288 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.292 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.292 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.292 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.292 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.292 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of 1.0 in N 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (log 1) into 0 0.293 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (log 1) into 0 0.294 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.294 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of 1.0 in N 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (log 1) into 0 0.296 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (log 1) into 0 0.297 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.298 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.298 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.298 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.333 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [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 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.354 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.354 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.354 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.354 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.354 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.354 * [taylor]: Taking taylor expansion of 1.0 in N 0.354 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.354 * [taylor]: Taking taylor expansion of N in N 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.355 * [backup-simplify]: Simplify (log -1) into (log -1) 0.355 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.355 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.355 * [taylor]: Taking taylor expansion of -1 in N 0.355 * [backup-simplify]: Simplify -1 into -1 0.355 * [taylor]: Taking taylor expansion of N in N 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ -1 1) into -1 0.356 * [backup-simplify]: Simplify (log -1) into (log -1) 0.356 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.356 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.356 * [taylor]: Taking taylor expansion of 1.0 in N 0.356 * [backup-simplify]: Simplify 1.0 into 1.0 0.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (- 1) into -1 0.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.357 * [backup-simplify]: Simplify (log -1) into (log -1) 0.357 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.357 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.357 * [taylor]: Taking taylor expansion of -1 in N 0.357 * [backup-simplify]: Simplify -1 into -1 0.357 * [taylor]: Taking taylor expansion of N in N 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ -1 1) into -1 0.357 * [backup-simplify]: Simplify (log -1) into (log -1) 0.358 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.358 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.359 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.359 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.367 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.382 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [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 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.412 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.413 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.413 * * * [progress]: simplifying candidates 0.414 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.415 * * [simplify]: iteration 0: 101 enodes 0.435 * * [simplify]: iteration 1: 213 enodes 0.502 * * [simplify]: iteration 2: 645 enodes 0.942 * * [simplify]: iteration 3: 2789 enodes 1.595 * * [simplify]: iteration complete: 5000 enodes 1.595 * * [simplify]: Extracting #0: cost 39 inf + 0 1.596 * * [simplify]: Extracting #1: cost 226 inf + 1 1.601 * * [simplify]: Extracting #2: cost 1205 inf + 83 1.611 * * [simplify]: Extracting #3: cost 1055 inf + 2880 1.619 * * [simplify]: Extracting #4: cost 281 inf + 7606 1.631 * * [simplify]: Extracting #5: cost 84 inf + 8806 1.637 * * [simplify]: Extracting #6: cost 48 inf + 9057 1.643 * * [simplify]: Extracting #7: cost 11 inf + 9210 1.648 * * [simplify]: Extracting #8: cost 0 inf + 9265 1.657 * [simplify]: Simplified to: (* (log (cbrt (+ 1.0 N))) 2) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (pow N 2) (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (pow (log (+ 1.0 N)) 3) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (pow (- (log (+ 1.0 N)) (log N)) 3) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (+ (log N) (log (+ 1.0 N)))) (* (log N) (log N))) (- (log N)) (* (+ (log N) (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log N))) (+ (log N) (log (+ 1.0 N))) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (* 2 (log (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (pow N 2) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* N 1.0)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (/ N 1.0) (* (/ N 1.0) 1/2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) 1.658 * * * [progress]: adding candidates to table 1.863 * * [progress]: iteration 2 / 4 1.863 * * * [progress]: picking best candidate 1.878 * * * * [pick]: Picked # 1.878 * * * [progress]: localizing error 1.893 * * * [progress]: generating rewritten candidates 1.893 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.903 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.924 * * * [progress]: generating series expansions 1.924 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.925 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 1.925 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.925 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.925 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.925 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.925 * [taylor]: Taking taylor expansion of N in N 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of 1.0 in N 1.925 * [backup-simplify]: Simplify 1.0 into 1.0 1.925 * [taylor]: Taking taylor expansion of N in N 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.926 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.926 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.926 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.926 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.926 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of 1.0 in N 1.926 * [backup-simplify]: Simplify 1.0 into 1.0 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.927 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.927 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.928 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.928 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.928 * [backup-simplify]: Simplify (+ 1 0) into 1 1.929 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.932 * [backup-simplify]: Simplify 1.0 into 1.0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.939 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.941 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.941 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.941 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.941 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.941 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [taylor]: Taking taylor expansion of 1.0 in N 1.941 * [backup-simplify]: Simplify 1.0 into 1.0 1.942 * [backup-simplify]: Simplify (+ 1 0) into 1 1.942 * [backup-simplify]: Simplify (* 0 1) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.943 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.943 * [backup-simplify]: Simplify (log 1) into 0 1.943 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.943 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [taylor]: Taking taylor expansion of 1.0 in N 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.944 * [backup-simplify]: Simplify (+ 1 0) into 1 1.944 * [backup-simplify]: Simplify (* 0 1) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.946 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.946 * [backup-simplify]: Simplify (log 1) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.956 * [backup-simplify]: Simplify 1.0 into 1.0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.971 * [backup-simplify]: Simplify -0.5 into -0.5 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.992 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.992 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.993 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.993 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.993 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.993 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.993 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.993 * [taylor]: Taking taylor expansion of -1 in N 1.993 * [backup-simplify]: Simplify -1 into -1 1.993 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.993 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.993 * [taylor]: Taking taylor expansion of 1.0 in N 1.993 * [backup-simplify]: Simplify 1.0 into 1.0 1.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.993 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [backup-simplify]: Simplify (- 1) into -1 1.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.995 * [backup-simplify]: Simplify (* 0 -1) into 0 1.996 * [backup-simplify]: Simplify (* -1 0) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.001 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.002 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.002 * [backup-simplify]: Simplify (log 1) into 0 2.002 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.002 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.002 * [taylor]: Taking taylor expansion of -1 in N 2.002 * [backup-simplify]: Simplify -1 into -1 2.003 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.003 * [taylor]: Taking taylor expansion of N in N 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.003 * [taylor]: Taking taylor expansion of 1.0 in N 2.003 * [backup-simplify]: Simplify 1.0 into 1.0 2.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.003 * [taylor]: Taking taylor expansion of N in N 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.004 * [backup-simplify]: Simplify (- 1) into -1 2.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.004 * [backup-simplify]: Simplify (* 0 -1) into 0 2.005 * [backup-simplify]: Simplify (* -1 0) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.006 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.007 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.008 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.008 * [backup-simplify]: Simplify (log 1) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.015 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.023 * [backup-simplify]: Simplify -1.0 into -1.0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- 0) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.041 * [backup-simplify]: Simplify -0.5 into -0.5 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.062 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.062 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.062 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.062 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.062 * [backup-simplify]: Simplify (/ (+ 1.0 N) N) into (/ (+ N 1.0) N) 2.062 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.062 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.062 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of 1.0 in N 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.063 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.063 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.063 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of 1.0 in N 2.063 * [backup-simplify]: Simplify 1.0 into 1.0 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.064 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.064 * [backup-simplify]: Simplify 1.0 into 1.0 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.071 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.071 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.071 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [taylor]: Taking taylor expansion of 1.0 in N 2.071 * [backup-simplify]: Simplify 1.0 into 1.0 2.071 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [taylor]: Taking taylor expansion of 1.0 in N 2.071 * [backup-simplify]: Simplify 1.0 into 1.0 2.072 * [backup-simplify]: Simplify (+ 1 0) into 1 2.072 * [backup-simplify]: Simplify (* 0 1) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.073 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.076 * [backup-simplify]: Simplify 1.0 into 1.0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.087 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.087 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.087 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.087 * [taylor]: Taking taylor expansion of -1 in N 2.087 * [backup-simplify]: Simplify -1 into -1 2.087 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.087 * [taylor]: Taking taylor expansion of N in N 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.087 * [taylor]: Taking taylor expansion of 1.0 in N 2.087 * [backup-simplify]: Simplify 1.0 into 1.0 2.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.087 * [taylor]: Taking taylor expansion of N in N 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.087 * [taylor]: Taking taylor expansion of -1 in N 2.087 * [backup-simplify]: Simplify -1 into -1 2.087 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.087 * [taylor]: Taking taylor expansion of N in N 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.088 * [taylor]: Taking taylor expansion of 1.0 in N 2.088 * [backup-simplify]: Simplify 1.0 into 1.0 2.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.088 * [taylor]: Taking taylor expansion of N in N 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [backup-simplify]: Simplify (- 1) into -1 2.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.089 * [backup-simplify]: Simplify (* 0 -1) into 0 2.089 * [backup-simplify]: Simplify (* -1 0) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.091 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.091 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.091 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.098 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.098 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (- 0) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (- 0) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.134 * * * [progress]: simplifying candidates 2.135 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1)) (log (/ (sqrt (+ 1.0 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log 1) (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (log (/ 1 N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (exp (log (/ (+ 1.0 N) N))) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (- (log (+ 1.0 N)) (log N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* N N) N)) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N)) (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) (/ 1 1) (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) (/ 1 1) (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) 1) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* N (- 1.0 N)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.137 * * [simplify]: iteration 0: 107 enodes 2.174 * * [simplify]: iteration 1: 243 enodes 2.256 * * [simplify]: iteration 2: 1011 enodes 2.535 * * [simplify]: iteration complete: 5001 enodes 2.535 * * [simplify]: Extracting #0: cost 63 inf + 0 2.536 * * [simplify]: Extracting #1: cost 577 inf + 2 2.540 * * [simplify]: Extracting #2: cost 1616 inf + 83 2.546 * * [simplify]: Extracting #3: cost 2373 inf + 1474 2.557 * * [simplify]: Extracting #4: cost 733 inf + 12231 2.573 * * [simplify]: Extracting #5: cost 57 inf + 18145 2.596 * * [simplify]: Extracting #6: cost 0 inf + 18634 2.611 * * [simplify]: Extracting #7: cost 0 inf + 18631 2.626 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (* (/ (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (pow 1.0 2) (* (- N 1.0) N))) (* N (- 1.0 N)) (+ (- (- (* 1.0 N) (log N)) (* (/ (* N N) 1.0) (/ 1/2 1.0))) (log 1.0)) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.627 * * * [progress]: adding candidates to table 2.858 * * [progress]: iteration 3 / 4 2.858 * * * [progress]: picking best candidate 2.871 * * * * [pick]: Picked # 2.871 * * * [progress]: localizing error 2.901 * * * [progress]: generating rewritten candidates 2.901 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 2.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.913 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.920 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.963 * * * [progress]: generating series expansions 2.963 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 2.963 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 2.963 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.963 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.963 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.963 * [taylor]: Taking taylor expansion of N in N 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of 1.0 in N 2.963 * [backup-simplify]: Simplify 1.0 into 1.0 2.964 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.964 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.964 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.964 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.964 * [taylor]: Taking taylor expansion of N in N 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [taylor]: Taking taylor expansion of 1.0 in N 2.964 * [backup-simplify]: Simplify 1.0 into 1.0 2.964 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.965 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.965 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.965 * [backup-simplify]: Simplify (+ 1 0) into 1 2.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.969 * [backup-simplify]: Simplify 1.0 into 1.0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.976 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.977 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 2.977 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 2.977 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.977 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.977 * [taylor]: Taking taylor expansion of N in N 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of 1.0 in N 2.978 * [backup-simplify]: Simplify 1.0 into 1.0 2.978 * [backup-simplify]: Simplify (+ 1 0) into 1 2.978 * [backup-simplify]: Simplify (log 1) into 0 2.978 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.978 * [taylor]: Taking taylor expansion of N in N 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of 1.0 in N 2.979 * [backup-simplify]: Simplify 1.0 into 1.0 2.979 * [backup-simplify]: Simplify (+ 1 0) into 1 2.979 * [backup-simplify]: Simplify (log 1) into 0 2.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.979 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.984 * [backup-simplify]: Simplify 1.0 into 1.0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.994 * [backup-simplify]: Simplify -0.5 into -0.5 2.995 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 2.995 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 2.995 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.995 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.995 * [taylor]: Taking taylor expansion of 1.0 in N 2.995 * [backup-simplify]: Simplify 1.0 into 1.0 2.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.995 * [taylor]: Taking taylor expansion of N in N 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (- 1) into -1 2.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.997 * [backup-simplify]: Simplify (log -1) into (log -1) 2.997 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.997 * [taylor]: Taking taylor expansion of 1.0 in N 2.997 * [backup-simplify]: Simplify 1.0 into 1.0 2.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.997 * [taylor]: Taking taylor expansion of N in N 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ 1 1) into 1 2.998 * [backup-simplify]: Simplify (- 1) into -1 2.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.998 * [backup-simplify]: Simplify (log -1) into (log -1) 2.999 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.999 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (- 0) into 0 3.000 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.004 * [backup-simplify]: Simplify -1.0 into -1.0 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.011 * [backup-simplify]: Simplify -0.5 into -0.5 3.012 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.012 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.012 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 3.012 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.012 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.012 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.012 * [taylor]: Taking taylor expansion of N in N 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of 1.0 in N 3.012 * [backup-simplify]: Simplify 1.0 into 1.0 3.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.013 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.013 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.013 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.013 * [taylor]: Taking taylor expansion of N in N 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [taylor]: Taking taylor expansion of 1.0 in N 3.013 * [backup-simplify]: Simplify 1.0 into 1.0 3.013 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.013 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.014 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.014 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.017 * [backup-simplify]: Simplify 1.0 into 1.0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.024 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.025 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 3.025 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 3.025 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.025 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.025 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [taylor]: Taking taylor expansion of 1.0 in N 3.025 * [backup-simplify]: Simplify 1.0 into 1.0 3.025 * [backup-simplify]: Simplify (+ 1 0) into 1 3.026 * [backup-simplify]: Simplify (log 1) into 0 3.026 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.026 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.026 * [taylor]: Taking taylor expansion of N in N 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (/ 1 1) into 1 3.026 * [taylor]: Taking taylor expansion of 1.0 in N 3.026 * [backup-simplify]: Simplify 1.0 into 1.0 3.026 * [backup-simplify]: Simplify (+ 1 0) into 1 3.027 * [backup-simplify]: Simplify (log 1) into 0 3.027 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.027 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.033 * [backup-simplify]: Simplify 1.0 into 1.0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.048 * [backup-simplify]: Simplify -0.5 into -0.5 3.049 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 3.049 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 3.049 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.049 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.049 * [taylor]: Taking taylor expansion of 1.0 in N 3.049 * [backup-simplify]: Simplify 1.0 into 1.0 3.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.049 * [taylor]: Taking taylor expansion of N in N 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [backup-simplify]: Simplify (- 1) into -1 3.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.050 * [backup-simplify]: Simplify (log -1) into (log -1) 3.050 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.050 * [taylor]: Taking taylor expansion of 1.0 in N 3.050 * [backup-simplify]: Simplify 1.0 into 1.0 3.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.050 * [taylor]: Taking taylor expansion of N in N 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (/ 1 1) into 1 3.050 * [backup-simplify]: Simplify (- 1) into -1 3.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.051 * [backup-simplify]: Simplify (log -1) into (log -1) 3.052 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.052 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.057 * [backup-simplify]: Simplify -1.0 into -1.0 3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (- 0) into 0 3.058 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.064 * [backup-simplify]: Simplify -0.5 into -0.5 3.065 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.065 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.065 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 3.065 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 3.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of 1.0 in N 3.065 * [backup-simplify]: Simplify 1.0 into 1.0 3.066 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.066 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.066 * [taylor]: Taking taylor expansion of N in N 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [taylor]: Taking taylor expansion of 1.0 in N 3.066 * [backup-simplify]: Simplify 1.0 into 1.0 3.066 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.067 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.067 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.067 * [backup-simplify]: Simplify (+ 1 0) into 1 3.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.070 * [backup-simplify]: Simplify 1.0 into 1.0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.079 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.081 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 3.081 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 3.081 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 3.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.081 * [taylor]: Taking taylor expansion of N in N 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of 1.0 in N 3.082 * [backup-simplify]: Simplify 1.0 into 1.0 3.082 * [backup-simplify]: Simplify (+ 1 0) into 1 3.083 * [backup-simplify]: Simplify (log 1) into 0 3.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [taylor]: Taking taylor expansion of 1.0 in N 3.083 * [backup-simplify]: Simplify 1.0 into 1.0 3.084 * [backup-simplify]: Simplify (+ 1 0) into 1 3.084 * [backup-simplify]: Simplify (log 1) into 0 3.085 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.085 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.090 * [backup-simplify]: Simplify 1.0 into 1.0 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.097 * [backup-simplify]: Simplify -0.5 into -0.5 3.097 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 3.097 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 3.097 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.098 * [taylor]: Taking taylor expansion of 1.0 in N 3.098 * [backup-simplify]: Simplify 1.0 into 1.0 3.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.098 * [taylor]: Taking taylor expansion of N in N 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [backup-simplify]: Simplify (- 1) into -1 3.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.099 * [backup-simplify]: Simplify (log -1) into (log -1) 3.099 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.099 * [taylor]: Taking taylor expansion of 1.0 in N 3.099 * [backup-simplify]: Simplify 1.0 into 1.0 3.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.099 * [taylor]: Taking taylor expansion of N in N 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [backup-simplify]: Simplify (- 1) into -1 3.100 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.100 * [backup-simplify]: Simplify (log -1) into (log -1) 3.100 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.101 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- 0) into 0 3.102 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.105 * [backup-simplify]: Simplify -1.0 into -1.0 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.113 * [backup-simplify]: Simplify -0.5 into -0.5 3.113 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.114 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.114 * [backup-simplify]: Simplify (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) into (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3.114 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 3.114 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 3.114 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 3.114 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.114 * [taylor]: Taking taylor expansion of N in N 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [taylor]: Taking taylor expansion of 1.0 in N 3.114 * [backup-simplify]: Simplify 1.0 into 1.0 3.114 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.114 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.115 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 3.115 * [taylor]: Taking taylor expansion of (log N) in N 3.115 * [taylor]: Taking taylor expansion of N in N 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (log 1) into 0 3.115 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.115 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 3.115 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 3.115 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.115 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.115 * [taylor]: Taking taylor expansion of N in N 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.116 * [taylor]: Taking taylor expansion of 1.0 in N 3.116 * [backup-simplify]: Simplify 1.0 into 1.0 3.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.116 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.116 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 3.116 * [taylor]: Taking taylor expansion of (log N) in N 3.116 * [taylor]: Taking taylor expansion of N in N 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (log 1) into 0 3.117 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.118 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 3.119 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 3.120 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.120 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.121 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.121 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 3.121 * [backup-simplify]: Simplify (* (log N) (pow (log N) 2)) into (pow (log N) 3) 3.121 * [backup-simplify]: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) 3.122 * [backup-simplify]: Simplify (+ (pow (log 1.0) 3) (- (pow (log N) 3))) into (- (pow (log 1.0) 3) (pow (log N) 3)) 3.123 * [backup-simplify]: Simplify (- (pow (log 1.0) 3) (pow (log N) 3)) into (- (pow (log 1.0) 3) (pow (log N) 3)) 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.131 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 3.134 * [backup-simplify]: Simplify (+ (* (log 1.0) (* 2.0 (log 1.0))) (* 1.0 (pow (log 1.0) 2))) into (* 3.0 (pow (log 1.0) 2)) 3.134 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.134 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.135 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.135 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 3.136 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (pow (log N) 2))) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log 1.0) 2)) 0) into (* 3.0 (pow (log 1.0) 2)) 3.140 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.150 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 3.157 * [backup-simplify]: Simplify (+ (* (log 1.0) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* 1.0 (* 2.0 (log 1.0))) (* (/ -1/2 (pow 1.0 2)) (pow (log 1.0) 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.158 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.158 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.160 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.160 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.161 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 3.161 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify (+ (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 0) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.173 * [backup-simplify]: Simplify (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 3.183 * [backup-simplify]: Simplify (+ (* (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) (pow N 2)) (+ (* (* 3.0 (pow (log 1.0) 2)) N) (- (pow (log 1.0) 3) (pow (log N) 3)))) into (- (+ (pow (log 1.0) 3) (+ (* 3.0 (* (log 1.0) (pow N 2))) (* 3.0 (* (pow (log 1.0) 2) N)))) (+ (pow (log N) 3) (* 3/2 (/ (* (pow (log 1.0) 2) (pow N 2)) (pow 1.0 2))))) 3.183 * [backup-simplify]: Simplify (- (pow (log (+ 1.0 (/ 1 N))) 3) (pow (log (/ 1 N)) 3)) into (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) 3.183 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 3.183 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 3.183 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 3.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.184 * [taylor]: Taking taylor expansion of N in N 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [taylor]: Taking taylor expansion of 1.0 in N 3.184 * [backup-simplify]: Simplify 1.0 into 1.0 3.185 * [backup-simplify]: Simplify (+ 1 0) into 1 3.185 * [backup-simplify]: Simplify (log 1) into 0 3.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.186 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 3.186 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.186 * [taylor]: Taking taylor expansion of N in N 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (/ 1 1) into 1 3.186 * [backup-simplify]: Simplify (log 1) into 0 3.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.187 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 3.187 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 3.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.187 * [taylor]: Taking taylor expansion of N in N 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.188 * [backup-simplify]: Simplify (/ 1 1) into 1 3.188 * [taylor]: Taking taylor expansion of 1.0 in N 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [backup-simplify]: Simplify (+ 1 0) into 1 3.189 * [backup-simplify]: Simplify (log 1) into 0 3.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.189 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 3.189 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.189 * [taylor]: Taking taylor expansion of N in N 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [backup-simplify]: Simplify (log 1) into 0 3.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.193 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.193 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 3.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.194 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.195 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 3.195 * [backup-simplify]: Simplify (- (* -1 (pow (log N) 3))) into (pow (log N) 3) 3.195 * [backup-simplify]: Simplify (+ (* -1 (pow (log N) 3)) (pow (log N) 3)) into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.205 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 3.205 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 3.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.209 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 3.209 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (pow (log N) 2))) into 0 3.210 * [backup-simplify]: Simplify (- 0) into 0 3.210 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log N) 2)) 0) into (* 3.0 (pow (log N) 2)) 3.210 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 3.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.226 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ (* 1.0 (log N)) 1.0) 3.227 * [backup-simplify]: Simplify (+ (* (- (log N)) (+ (* 1.0 (log N)) 1.0)) (+ (* 1.0 (- (* 2.0 (log N)))) (* -0.5 (pow (log N) 2)))) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.233 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.233 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 3.234 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 0) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.234 * [backup-simplify]: Simplify (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) into (- (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2)))) 3.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.246 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0)) 3.247 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (+ (* 0.6666666666666666 (log N)) 1.0))) (+ (* 1.0 (+ (* 1.0 (log N)) 1.0)) (+ (* -0.5 (- (* 2.0 (log N)))) (* 0.3333333333333333 (pow (log N) 2))))) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.248 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.252 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.252 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log N) 2))))) into 0 3.253 * [backup-simplify]: Simplify (- 0) into 0 3.253 * [backup-simplify]: Simplify (+ (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 0) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.253 * [backup-simplify]: Simplify (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 3.254 * [backup-simplify]: Simplify (+ (* (+ (* 3.0 (log (/ 1 N))) (+ (* 1.0 (pow (log (/ 1 N)) 2)) 1.0)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3.0 (log (/ 1 N))) (* 1.5 (pow (log (/ 1 N)) 2)))) (pow (/ 1 N) 2)) (* (* 3.0 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)))))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 2))) (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) 3.255 * [backup-simplify]: Simplify (- (pow (log (+ 1.0 (/ 1 (- N)))) 3) (pow (log (/ 1 (- N))) 3)) into (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) 3.255 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 3.255 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 3.255 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 3.255 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.255 * [taylor]: Taking taylor expansion of 1.0 in N 3.255 * [backup-simplify]: Simplify 1.0 into 1.0 3.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.255 * [taylor]: Taking taylor expansion of N in N 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [backup-simplify]: Simplify (- 1) into -1 3.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.257 * [backup-simplify]: Simplify (log -1) into (log -1) 3.258 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.258 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 3.258 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.258 * [taylor]: Taking taylor expansion of -1 in N 3.258 * [backup-simplify]: Simplify -1 into -1 3.258 * [taylor]: Taking taylor expansion of N in N 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [backup-simplify]: Simplify (/ -1 1) into -1 3.259 * [backup-simplify]: Simplify (log -1) into (log -1) 3.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.259 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 3.259 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 3.259 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.259 * [taylor]: Taking taylor expansion of 1.0 in N 3.259 * [backup-simplify]: Simplify 1.0 into 1.0 3.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.259 * [taylor]: Taking taylor expansion of N in N 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [backup-simplify]: Simplify (- 1) into -1 3.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.260 * [backup-simplify]: Simplify (log -1) into (log -1) 3.261 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.261 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 3.261 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.261 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.261 * [taylor]: Taking taylor expansion of -1 in N 3.261 * [backup-simplify]: Simplify -1 into -1 3.261 * [taylor]: Taking taylor expansion of N in N 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (/ -1 1) into -1 3.261 * [backup-simplify]: Simplify (log -1) into (log -1) 3.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.264 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.265 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 3.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.267 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.268 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 3.269 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3))) 3.273 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3)))) into 0 3.273 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.275 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (- 0) into 0 3.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.285 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 3.287 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -1.0 (pow (- (log -1) (log N)) 2))) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.289 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.293 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (pow (- (log -1) (log N)) 2))) into 0 3.295 * [backup-simplify]: Simplify (- 0) into 0 3.297 * [backup-simplify]: Simplify (+ (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 0) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.300 * [backup-simplify]: Simplify (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) into (- (* 6.0 (* (log N) (log -1))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 3.300 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.302 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- 0) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.317 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1))) 3.320 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* -1.0 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.5 (pow (- (log -1) (log N)) 2)))) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.321 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.328 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 3.330 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2)))) into 0 3.330 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 0) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.337 * [backup-simplify]: Simplify (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) into (- (+ (* 3.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log N) 2))))) 3.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (- 0) into 0 3.340 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 3.360 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.362 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1))) 3.367 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ (* 0.6666666666666666 (log N)) 1.0) (* 0.6666666666666666 (log -1)))) (+ (* -1.0 (- (+ (* 1.0 (log N)) 1.0) (* 1.0 (log -1)))) (+ (* -0.5 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.3333333333333333 (pow (- (log -1) (log N)) 2))))) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.367 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.368 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 3.375 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.376 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 3.377 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2))))) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 0) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.382 * [backup-simplify]: Simplify (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) into (- (+ (* 2.0 (* (log N) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)))) 3.390 * [backup-simplify]: Simplify (+ (* (- (+ (* 2.0 (* (log (/ 1 (- N))) (log -1))) (* 3.0 (log -1))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (+ (* 1.0 (pow (log (/ 1 (- N))) 2)) 1.0)))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3.0 (* (log (/ 1 (- N))) (log -1))) (* 3.0 (log -1))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (* 1.5 (pow (log (/ 1 (- N))) 2))))) (pow (/ 1 (- N)) 2)) (* (- (* 6.0 (* (log (/ 1 (- N))) (log -1))) (+ (* 3.0 (pow (log (/ 1 (- N))) 2)) (* 3.0 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 2))) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 3.0 (/ (log -1) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3.0 (/ (pow (log -1) 2) N)) (* 1.0 (/ (pow (log -1) 2) (pow N 3)))))))))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 2))) (+ (* 2.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 3))) (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))))))))) 3.391 * * * [progress]: simplifying candidates 3.392 * [simplify]: Simplifying: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (exp (pow (log (+ 1.0 N)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (exp (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3))) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log (+ 1.0 N)) (log N)) (- (pow (pow (log (+ 1.0 N)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ 1.0 N)) 3) (pow (log (+ 1.0 N)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ 1.0 N)) 3) (pow (log N) 3)))) (- (pow (log N) 3)) (- (* (pow (log (+ 1.0 N)) 3) (pow (log (+ 1.0 N)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ 1.0 N))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ 1.0 N))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ 1.0 N))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ 1.0 N))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ 1.0 N))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ 1.0 N))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ 1.0 N))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ 1.0 N))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ 1.0 N))) 3) (pow (log N) (/ 3 2))) (+ (sqrt (pow (log (+ 1.0 N)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ 1.0 N)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ 1.0 N)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ 1.0 N)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ 1.0 N)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ 1.0 N)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ 1.0 N)) 3)) (pow (log N) (/ 3 2))) (- (sqrt (pow (log (+ 1.0 N)) 3)) (pow (log N) (/ 3 2))) (+ (pow (log (+ 1.0 N)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ 1.0 N)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ 1.0 N)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ 1.0 N)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ 1.0 N)) (/ 3 2)) (sqrt (pow (log N) 3))) (- (pow (log (+ 1.0 N)) (/ 3 2)) (sqrt (pow (log N) 3))) (+ (pow (log (+ 1.0 N)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ 1.0 N)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (pow (log 1.0) 3) (+ (* 3.0 (* (log 1.0) (pow N 2))) (* 3.0 (* (pow (log 1.0) 2) N)))) (+ (pow (log N) 3) (* 3/2 (/ (* (pow (log 1.0) 2) (pow N 2)) (pow 1.0 2))))) (- (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)))))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 2))) (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) (- (+ (* 3.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 2))) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 3.0 (/ (log -1) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3.0 (/ (pow (log -1) 2) N)) (* 1.0 (/ (pow (log -1) 2) (pow N 3)))))))))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 2))) (+ (* 2.0 (/ (* (log (/ -1 N)) (log -1)) (pow N 3))) (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))))))))) 3.394 * * [simplify]: iteration 0: 192 enodes 3.450 * * [simplify]: iteration 1: 483 enodes 3.673 * * [simplify]: iteration 2: 2098 enodes 4.185 * * [simplify]: iteration complete: 5000 enodes 4.185 * * [simplify]: Extracting #0: cost 53 inf + 0 4.185 * * [simplify]: Extracting #1: cost 228 inf + 1 4.187 * * [simplify]: Extracting #2: cost 715 inf + 22 4.191 * * [simplify]: Extracting #3: cost 1467 inf + 691 4.211 * * [simplify]: Extracting #4: cost 1269 inf + 5429 4.222 * * [simplify]: Extracting #5: cost 568 inf + 12942 4.230 * * [simplify]: Extracting #6: cost 94 inf + 18193 4.237 * * [simplify]: Extracting #7: cost 6 inf + 21415 4.245 * * [simplify]: Extracting #8: cost 0 inf + 21730 4.254 * * [simplify]: Extracting #9: cost 0 inf + 21724 4.272 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (pow 1.0 2) (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (pow 1.0 2) (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (pow 1.0 2) (* N (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (+ (log (+ N 1.0)) (log N)))) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (+ (* (pow (log N) 3) (pow (log (+ N 1.0)) 3)) (pow (log N) 6)) (pow (log (+ N 1.0)) 6)) (- (pow (log N) 3)) (- (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (+ (pow (log N) 3) (pow (log (+ N 1.0)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log N) 3)) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log N) 3)) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (sqrt (log (+ N 1.0))) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log N) 3)) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (sqrt (pow (log (+ N 1.0)) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (sqrt (log N)) 3) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log N)) 3) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log N) 3/2) (pow (log (+ N 1.0)) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (* N N) (pow 1.0 2)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (log N)) (- (- (+ (/ 1.0 N) (log -1)) (log (/ -1 N))) (/ 0.5 (* N N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (* N N) (pow 1.0 2)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (log N)) (- (- (+ (/ 1.0 N) (log -1)) (log (/ -1 N))) (/ 0.5 (* N N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (* N N) (pow 1.0 2)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (log N)) (- (- (+ (/ 1.0 N) (log -1)) (log (/ -1 N))) (/ 0.5 (* N N))) (+ (- (- (* (+ (* (pow (log 1.0) 2) N) (* (log 1.0) (* N N))) 3.0) (* (/ (* 3/2 (pow (log 1.0) 2)) 1.0) (/ (* N N) 1.0))) (pow (log N) 3)) (pow (log 1.0) 3)) (+ (+ (* 1.0 (/ (* (log N) (log N)) (pow N 3))) (+ (* 3.0 (/ (- (log N)) (pow N 3))) (/ 1.0 (pow N 3)))) (- (* 3.0 (/ (* (log N) (log N)) N)) (+ (* (/ 1.5 N) (/ (* (log N) (log N)) N)) (* (/ 3.0 N) (/ (- (log N)) N))))) (+ (* (/ (* (log (/ -1 N)) 3.0) N) (/ (log -1) N)) (+ (* 3.0 (+ (/ (log (/ -1 N)) (pow N 3)) (/ (log -1) (* N N)))) (- (+ (+ (+ (/ 1.0 (pow N 3)) (* 3.0 (+ (/ (pow (log (/ -1 N)) 2) N) (/ (pow (log -1) 2) N)))) (/ (* (pow (log -1) 2) 1.0) (pow N 3))) (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3)))) (+ (+ (+ (/ 3.0 (/ (pow N 3) (log -1))) (* (/ (pow (log -1) 2) N) (/ 1.5 N))) (+ (/ (* (log (/ -1 N)) 6.0) (/ N (log -1))) (/ (/ (* (log (/ -1 N)) 3.0) N) N))) (+ (* 2.0 (/ (log (/ -1 N)) (/ (pow N 3) (log -1)))) (* (/ (pow (log (/ -1 N)) 2) N) (/ 1.5 N))))))) 4.273 * * * [progress]: adding candidates to table 4.858 * * [progress]: iteration 4 / 4 4.858 * * * [progress]: picking best candidate 4.870 * * * * [pick]: Picked # 4.870 * * * [progress]: localizing error 4.887 * * * [progress]: generating rewritten candidates 4.887 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.958 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 4.965 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 4.978 * * * [progress]: generating series expansions 4.978 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.978 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 4.978 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 4.978 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 4.978 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 4.978 * [taylor]: Taking taylor expansion of 0.5 in N 4.978 * [backup-simplify]: Simplify 0.5 into 0.5 4.978 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.978 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (* 1 1) into 1 4.979 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 4.979 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.979 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.979 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.980 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.980 * [taylor]: Taking taylor expansion of N in N 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (* 1 1) into 1 4.980 * [backup-simplify]: Simplify (* 1 1) into 1 4.980 * [backup-simplify]: Simplify (/ 1 1) into 1 4.980 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 4.980 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 4.980 * [taylor]: Taking taylor expansion of 0.5 in N 4.980 * [backup-simplify]: Simplify 0.5 into 0.5 4.980 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.980 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.980 * [taylor]: Taking taylor expansion of N in N 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (* 1 1) into 1 4.981 * [backup-simplify]: Simplify (/ 1 1) into 1 4.981 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 4.981 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.981 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.981 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.981 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.981 * [taylor]: Taking taylor expansion of N in N 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (* 1 1) into 1 4.982 * [backup-simplify]: Simplify (* 1 1) into 1 4.982 * [backup-simplify]: Simplify (/ 1 1) into 1 4.982 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.983 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.983 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 4.984 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.984 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.986 * [backup-simplify]: Simplify (- 0) into 0 4.986 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.986 * [backup-simplify]: Simplify 0.5 into 0.5 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.991 * [backup-simplify]: Simplify (- 0) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.995 * [backup-simplify]: Simplify (- 0) into 0 4.995 * [backup-simplify]: Simplify (+ 0 0) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.000 * [backup-simplify]: Simplify (- 0) into 0 5.000 * [backup-simplify]: Simplify (+ 0 0) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.006 * [backup-simplify]: Simplify (- 0) into 0 5.006 * [backup-simplify]: Simplify (+ 0 0) into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.012 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify (+ 0 0) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.017 * [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 5.018 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.018 * [backup-simplify]: Simplify (- 0) into 0 5.018 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.019 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 5.019 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 5.019 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 5.019 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.019 * [taylor]: Taking taylor expansion of 0.5 in N 5.019 * [backup-simplify]: Simplify 0.5 into 0.5 5.019 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.019 * [taylor]: Taking taylor expansion of N in N 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.019 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.019 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.019 * [taylor]: Taking taylor expansion of N in N 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 5.019 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.019 * [taylor]: Taking taylor expansion of 0.5 in N 5.019 * [backup-simplify]: Simplify 0.5 into 0.5 5.019 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.019 * [taylor]: Taking taylor expansion of N in N 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.019 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.019 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.019 * [taylor]: Taking taylor expansion of N in N 5.019 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (* 1 1) into 1 5.020 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.020 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.020 * [backup-simplify]: Simplify 0.5 into 0.5 5.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.022 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.023 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.023 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 5.023 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.026 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.026 * [backup-simplify]: Simplify (- 0) into 0 5.026 * [backup-simplify]: Simplify (+ 0 0) into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.032 * [backup-simplify]: Simplify (- 0) into 0 5.032 * [backup-simplify]: Simplify (+ 0 0) into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (- 0) into 0 5.038 * [backup-simplify]: Simplify (+ 0 0) into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.045 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.045 * [backup-simplify]: Simplify (- 0) into 0 5.045 * [backup-simplify]: Simplify (+ 0 0) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.049 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.053 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.058 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.058 * [backup-simplify]: Simplify (- 0) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.060 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 5.060 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 5.060 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 5.060 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.060 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.060 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.060 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.060 * [taylor]: Taking taylor expansion of 0.5 in N 5.060 * [backup-simplify]: Simplify 0.5 into 0.5 5.060 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 5.060 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.060 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.060 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.060 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.060 * [taylor]: Taking taylor expansion of 0.5 in N 5.060 * [backup-simplify]: Simplify 0.5 into 0.5 5.060 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.061 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 5.061 * [backup-simplify]: Simplify 0.5 into 0.5 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.062 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.067 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.067 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.069 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.070 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.072 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ 0 0) into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.075 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.077 * [backup-simplify]: Simplify (+ 0 0) into 0 5.077 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.081 * [backup-simplify]: Simplify (+ 0 0) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.083 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.088 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.090 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.091 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 5.091 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 5.091 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 5.091 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.091 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.091 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.091 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.091 * [taylor]: Taking taylor expansion of N in N 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (* 1 1) into 1 5.092 * [backup-simplify]: Simplify (* 1 1) into 1 5.092 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.092 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.092 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.092 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [backup-simplify]: Simplify (* 1 1) into 1 5.092 * [backup-simplify]: Simplify (* 1 1) into 1 5.093 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.093 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.109 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 5.109 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 5.109 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.109 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.109 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.109 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.110 * [taylor]: Taking taylor expansion of N in N 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.110 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.110 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.110 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.110 * [taylor]: Taking taylor expansion of N in N 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (* 1 1) into 1 5.111 * [backup-simplify]: Simplify (* 1 1) into 1 5.111 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.111 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.113 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.116 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.120 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.124 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.128 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.133 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.134 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 5.134 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 5.134 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.134 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.134 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.134 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.134 * [taylor]: Taking taylor expansion of N in N 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.135 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.135 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.135 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.135 * [taylor]: Taking taylor expansion of N in N 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [backup-simplify]: Simplify (* 1 1) into 1 5.136 * [backup-simplify]: Simplify (* 1 1) into 1 5.136 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 5.136 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.138 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.141 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.141 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.145 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.148 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.150 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.151 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 5.151 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 5.151 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 5.151 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.151 * [taylor]: Taking taylor expansion of 0.5 in N 5.151 * [backup-simplify]: Simplify 0.5 into 0.5 5.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.151 * [taylor]: Taking taylor expansion of N in N 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [backup-simplify]: Simplify (* 1 1) into 1 5.151 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.151 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.151 * [taylor]: Taking taylor expansion of 0.5 in N 5.151 * [backup-simplify]: Simplify 0.5 into 0.5 5.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.151 * [taylor]: Taking taylor expansion of N in N 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (* 1 1) into 1 5.152 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.152 * [backup-simplify]: Simplify 0.5 into 0.5 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.160 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 5.160 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.160 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.160 * [taylor]: Taking taylor expansion of 0.5 in N 5.160 * [backup-simplify]: Simplify 0.5 into 0.5 5.160 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.160 * [taylor]: Taking taylor expansion of N in N 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.161 * [taylor]: Taking taylor expansion of 0.5 in N 5.161 * [backup-simplify]: Simplify 0.5 into 0.5 5.161 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.161 * [taylor]: Taking taylor expansion of N in N 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (* 1 1) into 1 5.161 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.161 * [backup-simplify]: Simplify 0.5 into 0.5 5.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.162 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.164 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.164 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.170 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 5.170 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.170 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.170 * [taylor]: Taking taylor expansion of 0.5 in N 5.170 * [backup-simplify]: Simplify 0.5 into 0.5 5.170 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.170 * [taylor]: Taking taylor expansion of N in N 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.170 * [taylor]: Taking taylor expansion of 0.5 in N 5.170 * [backup-simplify]: Simplify 0.5 into 0.5 5.170 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.170 * [taylor]: Taking taylor expansion of N in N 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (* 1 1) into 1 5.175 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.176 * [backup-simplify]: Simplify 0.5 into 0.5 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.184 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 5.189 * * * [progress]: simplifying candidates 5.191 * [simplify]: Simplifying: (/ (exp (/ 0.5 (* N N))) (exp (/ 0.3333333333333333 (pow N 3)))) (log (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (exp (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (cbrt (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (* (* (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (* 0.5 (pow N 3)) (* (* N N) 0.3333333333333333)) (* (* N N) (pow N 3)) (- (pow (/ 0.5 (* N N)) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))))) (- (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.3333333333333333 (pow N 3)))) (- (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.3333333333333333 (pow N 3)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2)))) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 0.3333333333333333 (pow N 3)))) (- (/ (sqrt 0.5) N) (sqrt (/ 0.3333333333333333 (pow N 3)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (- (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (- (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2)))) (- (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2)))) (- (/ 0.5 N) (/ 0.3333333333333333 (* N N))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) 5.192 * * [simplify]: iteration 0: 175 enodes 5.236 * * [simplify]: iteration 1: 437 enodes 5.747 * * [simplify]: iteration 2: 3228 enodes 7.057 * * [simplify]: iteration complete: 5001 enodes 7.057 * * [simplify]: Extracting #0: cost 92 inf + 0 7.059 * * [simplify]: Extracting #1: cost 742 inf + 6 7.063 * * [simplify]: Extracting #2: cost 1753 inf + 960 7.070 * * [simplify]: Extracting #3: cost 1168 inf + 6514 7.084 * * [simplify]: Extracting #4: cost 395 inf + 11739 7.092 * * [simplify]: Extracting #5: cost 32 inf + 15011 7.099 * * [simplify]: Extracting #6: cost 0 inf + 15329 7.108 * [simplify]: Simplified to: (exp (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (log (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (exp (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (pow (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (- (* (pow N 3) 0.5) (* N (* N 0.3333333333333333))) (pow N (+ 4 1)) (- (pow (/ (/ 0.5 N) N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (/ (* 0.5 (/ (/ 0.5 N) N)) (* N N))) (/ (- 0.3333333333333333) (pow N 3)) (- (/ (* 0.5 (/ (/ 0.5 N) N)) (* N N)) (/ (* 0.3333333333333333 (/ 0.3333333333333333 (pow N 3))) (pow N 3))) (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (/ (/ 0.5 N) N)) (sqrt (/ 0.3333333333333333 (pow N 3)))) (+ (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (- (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (+ (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (- (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (/ (/ 0.5 N) N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (+ (/ (sqrt 0.3333333333333333) (pow N 3/2)) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (/ (/ 0.5 N) N)) (/ (sqrt 0.3333333333333333) (pow N 3/2))) (+ (/ (sqrt 0.5) N) (sqrt (/ 0.3333333333333333 (pow N 3)))) (- (/ (sqrt 0.5) N) (sqrt (/ 0.3333333333333333 (pow N 3)))) (+ (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (+ (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (- (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow N 3/2))) (- (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow N 3/2))) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3))) (/ (- 0.3333333333333333) (pow N 3)) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (/ (cbrt 0.3333333333333333) N) (sqrt N)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (/ (cbrt 0.3333333333333333) N) (sqrt N)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (* N N)) (/ (cbrt 0.3333333333333333) (/ (sqrt (pow N 3)) (cbrt 0.3333333333333333))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) (sqrt N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) (sqrt N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (pow (/ (/ 0.5 N) N) 3) (pow (/ (/ 0.5 N) N) 3) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (pow (/ (/ 0.5 N) N) 3) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- 0.5) (* (- N) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ N (/ 0.5 N)) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) N)) (/ N (/ 0.5 N)) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) 7.109 * * * [progress]: adding candidates to table 7.549 * [progress]: [Phase 3 of 3] Extracting. 7.550 * * [regime]: Finding splitpoints for: (# # # #) 7.552 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.552 * * * * [regimes]: Trying to branch on N from (# # # #) 7.616 * * * [regime]: Found split indices: #