1548059717.091 * [misc]progress: [Phase 1 of 3] Setting up. 1548059717.091 * * * [misc]progress: [1/2] Preparing points 1548059717.091 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1548059717.148 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.148 * * * * [misc]points: Sampling 132 additional inputs, on iter 1 have 124 / 256 1548059717.176 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.177 * * * * [misc]points: Sampling 61 additional inputs, on iter 2 have 195 / 256 1548059717.186 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.186 * * * * [misc]points: Sampling 33 additional inputs, on iter 3 have 223 / 256 1548059717.194 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.194 * * * * [misc]points: Sampling 18 additional inputs, on iter 4 have 238 / 256 1548059717.198 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.198 * * * * [misc]points: Sampling 11 additional inputs, on iter 5 have 245 / 256 1548059717.202 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.202 * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 251 / 256 1548059717.203 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.204 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 1548059717.206 * * * * [misc]points: Filtering points with unrepresentable outputs 1548059717.206 * * * * [exit]points: Sampled 257 points with exact outputs 1548059717.206 * * * [misc]progress: [2/2] Setting up program. 1548059717.210 * [misc]progress: [Phase 2 of 3] Improving. 1548059717.210 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1548059717.210 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1548059717.210 * * [misc]simplify: iters left: 5 (6 enodes) 1548059717.212 * * [misc]simplify: iters left: 4 (11 enodes) 1548059717.214 * * [misc]simplify: iters left: 3 (12 enodes) 1548059717.217 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) 1548059717.217 * [misc]simplify: Simplified (2) to (λ (N) (- (log (+ 1 N)) (log N))) 1548059717.220 * * [misc]progress: iteration 1 / 4 1548059717.220 * * * [misc]progress: picking best candidate 1548059717.222 * * * * [misc]pick: Picked # 1548059717.222 * * * [misc]progress: localizing error 1548059717.234 * * * [misc]progress: generating rewritten candidates 1548059717.234 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) 1548059717.235 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) 1548059717.244 * * * [misc]progress: generating series expansions 1548059717.244 * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) 1548059717.265 * [misc]backup-simplify: Simplify (log (+ N 1)) into (log (+ N 1)) 1548059717.265 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1548059717.265 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548059717.265 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059717.265 * [misc]taylor: Taking taylor expansion of N in N 1548059717.266 * [misc]backup-simplify: Simplify 0 into 0 1548059717.266 * [misc]backup-simplify: Simplify 1 into 1 1548059717.266 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.266 * [misc]backup-simplify: Simplify 1 into 1 1548059717.266 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059717.267 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.267 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548059717.267 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059717.267 * [misc]taylor: Taking taylor expansion of N in N 1548059717.267 * [misc]backup-simplify: Simplify 0 into 0 1548059717.267 * [misc]backup-simplify: Simplify 1 into 1 1548059717.267 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.267 * [misc]backup-simplify: Simplify 1 into 1 1548059717.267 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059717.267 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.267 * [misc]backup-simplify: Simplify 0 into 0 1548059717.268 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.271 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059717.271 * [misc]backup-simplify: Simplify 1 into 1 1548059717.271 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.275 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059717.275 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059717.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.279 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059717.279 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059717.280 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1548059717.280 * [misc]backup-simplify: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1548059717.280 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1548059717.280 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548059717.280 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059717.280 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.280 * [misc]taylor: Taking taylor expansion of N in N 1548059717.280 * [misc]backup-simplify: Simplify 0 into 0 1548059717.280 * [misc]backup-simplify: Simplify 1 into 1 1548059717.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.281 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.281 * [misc]backup-simplify: Simplify 1 into 1 1548059717.281 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.281 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.281 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548059717.281 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059717.281 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.281 * [misc]taylor: Taking taylor expansion of N in N 1548059717.281 * [misc]backup-simplify: Simplify 0 into 0 1548059717.281 * [misc]backup-simplify: Simplify 1 into 1 1548059717.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.281 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.281 * [misc]backup-simplify: Simplify 1 into 1 1548059717.281 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.281 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.282 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059717.282 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059717.282 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059717.282 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059717.284 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059717.284 * [misc]backup-simplify: Simplify 1 into 1 1548059717.284 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.284 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.286 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059717.286 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059717.287 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1548059717.287 * [misc]backup-simplify: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1548059717.287 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1548059717.287 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548059717.287 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059717.287 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.287 * [misc]backup-simplify: Simplify 1 into 1 1548059717.287 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.287 * [misc]taylor: Taking taylor expansion of N in N 1548059717.287 * [misc]backup-simplify: Simplify 0 into 0 1548059717.287 * [misc]backup-simplify: Simplify 1 into 1 1548059717.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.287 * [misc]backup-simplify: Simplify (- 1) into -1 1548059717.287 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059717.288 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548059717.288 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548059717.288 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059717.288 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.288 * [misc]backup-simplify: Simplify 1 into 1 1548059717.288 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.288 * [misc]taylor: Taking taylor expansion of N in N 1548059717.288 * [misc]backup-simplify: Simplify 0 into 0 1548059717.288 * [misc]backup-simplify: Simplify 1 into 1 1548059717.288 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.288 * [misc]backup-simplify: Simplify (- 1) into -1 1548059717.288 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059717.288 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548059717.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1548059717.289 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1548059717.289 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059717.289 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.289 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.291 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1548059717.291 * [misc]backup-simplify: Simplify -1 into -1 1548059717.291 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.292 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.292 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.294 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1548059717.294 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059717.295 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1548059717.295 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) 1548059717.295 * [misc]backup-simplify: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 1548059717.295 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1548059717.295 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of N in N 1548059717.295 * [misc]backup-simplify: Simplify 0 into 0 1548059717.295 * [misc]backup-simplify: Simplify 1 into 1 1548059717.295 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.295 * [misc]backup-simplify: Simplify 1 into 1 1548059717.295 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059717.295 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.295 * [misc]taylor: Taking taylor expansion of (log N) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of N in N 1548059717.295 * [misc]backup-simplify: Simplify 0 into 0 1548059717.295 * [misc]backup-simplify: Simplify 1 into 1 1548059717.295 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.295 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059717.295 * [misc]taylor: Taking taylor expansion of N in N 1548059717.295 * [misc]backup-simplify: Simplify 0 into 0 1548059717.295 * [misc]backup-simplify: Simplify 1 into 1 1548059717.295 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.295 * [misc]backup-simplify: Simplify 1 into 1 1548059717.296 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059717.296 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.296 * [misc]taylor: Taking taylor expansion of (log N) in N 1548059717.296 * [misc]taylor: Taking taylor expansion of N in N 1548059717.296 * [misc]backup-simplify: Simplify 0 into 0 1548059717.296 * [misc]backup-simplify: Simplify 1 into 1 1548059717.296 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.296 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1548059717.296 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059717.296 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1548059717.296 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059717.296 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.298 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059717.299 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548059717.299 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.299 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.299 * [misc]backup-simplify: Simplify 1 into 1 1548059717.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.302 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059717.304 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548059717.304 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.304 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548059717.304 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059717.304 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059717.304 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1548059717.305 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1548059717.305 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of N in N 1548059717.305 * [misc]backup-simplify: Simplify 0 into 0 1548059717.305 * [misc]backup-simplify: Simplify 1 into 1 1548059717.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.305 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.305 * [misc]backup-simplify: Simplify 1 into 1 1548059717.305 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.305 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.305 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of N in N 1548059717.305 * [misc]backup-simplify: Simplify 0 into 0 1548059717.305 * [misc]backup-simplify: Simplify 1 into 1 1548059717.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.305 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.305 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.305 * [misc]taylor: Taking taylor expansion of N in N 1548059717.305 * [misc]backup-simplify: Simplify 0 into 0 1548059717.305 * [misc]backup-simplify: Simplify 1 into 1 1548059717.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.306 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.306 * [misc]backup-simplify: Simplify 1 into 1 1548059717.306 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.306 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.306 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1548059717.306 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.306 * [misc]taylor: Taking taylor expansion of N in N 1548059717.306 * [misc]backup-simplify: Simplify 0 into 0 1548059717.306 * [misc]backup-simplify: Simplify 1 into 1 1548059717.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.306 * [misc]backup-simplify: Simplify (log 1) into 0 1548059717.306 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059717.306 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059717.306 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1548059717.306 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1548059717.306 * [misc]backup-simplify: Simplify 0 into 0 1548059717.307 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059717.307 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059717.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059717.308 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059717.309 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548059717.310 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.310 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.310 * [misc]backup-simplify: Simplify 1 into 1 1548059717.310 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.312 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059717.313 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.315 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548059717.315 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.315 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548059717.315 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059717.315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.319 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059717.319 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.325 * [misc]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 1548059717.325 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.326 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1548059717.326 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059717.326 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059717.326 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1548059717.326 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1548059717.326 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1548059717.326 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548059717.326 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059717.326 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.326 * [misc]backup-simplify: Simplify 1 into 1 1548059717.326 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.326 * [misc]taylor: Taking taylor expansion of N in N 1548059717.327 * [misc]backup-simplify: Simplify 0 into 0 1548059717.327 * [misc]backup-simplify: Simplify 1 into 1 1548059717.327 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.327 * [misc]backup-simplify: Simplify (- 1) into -1 1548059717.327 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059717.327 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548059717.327 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1548059717.327 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1548059717.327 * [misc]taylor: Taking taylor expansion of -1 in N 1548059717.327 * [misc]backup-simplify: Simplify -1 into -1 1548059717.327 * [misc]taylor: Taking taylor expansion of N in N 1548059717.327 * [misc]backup-simplify: Simplify 0 into 0 1548059717.327 * [misc]backup-simplify: Simplify 1 into 1 1548059717.328 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548059717.328 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548059717.328 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1548059717.328 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1548059717.328 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059717.328 * [misc]taylor: Taking taylor expansion of 1 in N 1548059717.328 * [misc]backup-simplify: Simplify 1 into 1 1548059717.328 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059717.328 * [misc]taylor: Taking taylor expansion of N in N 1548059717.328 * [misc]backup-simplify: Simplify 0 into 0 1548059717.328 * [misc]backup-simplify: Simplify 1 into 1 1548059717.328 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059717.328 * [misc]backup-simplify: Simplify (- 1) into -1 1548059717.328 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059717.329 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548059717.329 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1548059717.329 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1548059717.329 * [misc]taylor: Taking taylor expansion of -1 in N 1548059717.329 * [misc]backup-simplify: Simplify -1 into -1 1548059717.329 * [misc]taylor: Taking taylor expansion of N in N 1548059717.329 * [misc]backup-simplify: Simplify 0 into 0 1548059717.329 * [misc]backup-simplify: Simplify 1 into 1 1548059717.329 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548059717.329 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548059717.329 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1548059717.329 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1548059717.329 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1548059717.330 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1548059717.330 * [misc]backup-simplify: Simplify 0 into 0 1548059717.330 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059717.330 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.330 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059717.331 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1548059717.332 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548059717.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1548059717.333 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.333 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1548059717.334 * [misc]backup-simplify: Simplify -1 into -1 1548059717.334 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.334 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.336 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1548059717.336 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.339 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1548059717.339 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.339 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1548059717.339 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059717.339 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.339 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059717.343 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 1548059717.343 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059717.347 * [misc]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 1548059717.347 * [misc]backup-simplify: Simplify (- 0) into 0 1548059717.347 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1548059717.347 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059717.347 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059717.347 * * * [misc]progress: simplifying candidates 1548059717.347 * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # 1548059717.347 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1548059717.348 * * [misc]simplify: iters left: 6 (6 enodes) 1548059717.348 * * [misc]simplify: iters left: 5 (11 enodes) 1548059717.350 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1548059717.350 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 1548059717.350 * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # 1548059717.350 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548059717.350 * * [misc]simplify: iters left: 4 (5 enodes) 1548059717.351 * * [misc]simplify: iters left: 3 (8 enodes) 1548059717.351 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548059717.351 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 1548059717.351 * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # 1548059717.352 * [enter]simplify: Simplifying (log 1) 1548059717.352 * * [misc]simplify: iters left: 1 (2 enodes) 1548059717.352 * [exit]simplify: Simplified to 0 1548059717.352 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 1548059717.352 * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # 1548059717.352 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1548059717.353 * * [misc]simplify: iters left: 4 (7 enodes) 1548059717.354 * * [misc]simplify: iters left: 3 (15 enodes) 1548059717.355 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1548059717.356 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (pow N 3))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 1548059717.356 * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # 1548059717.356 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1548059717.356 * * [misc]simplify: iters left: 5 (6 enodes) 1548059717.362 * * [misc]simplify: iters left: 4 (11 enodes) 1548059717.365 * * [misc]simplify: iters left: 3 (14 enodes) 1548059717.369 * * [misc]simplify: iters left: 2 (20 enodes) 1548059717.374 * * [misc]simplify: iters left: 1 (37 enodes) 1548059717.390 * [exit]simplify: Simplified to (log (- (* N N) 1)) 1548059717.390 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- (* N N) 1)) (log (- N 1))) (log N))) 1548059717.391 * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # 1548059717.391 * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # 1548059717.391 * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # 1548059717.391 * [enter]simplify: Simplifying (+ N 1) 1548059717.391 * * [misc]simplify: iters left: 2 (3 enodes) 1548059717.392 * * [misc]simplify: iters left: 1 (6 enodes) 1548059717.394 * [exit]simplify: Simplified to (+ 1 N) 1548059717.394 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 1548059717.394 * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # 1548059717.394 * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # 1548059717.394 * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # 1548059717.394 * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # 1548059717.394 * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # 1548059717.394 * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # 1548059717.394 * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # 1548059717.394 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059717.395 * * [misc]simplify: iters left: 4 (4 enodes) 1548059717.396 * * [misc]simplify: iters left: 3 (7 enodes) 1548059717.398 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059717.398 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1548059717.398 * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # 1548059717.398 * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # 1548059717.399 * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # 1548059717.399 * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 1548059717.399 * * [misc]simplify: iters left: 6 (8 enodes) 1548059717.401 * * [misc]simplify: iters left: 5 (12 enodes) 1548059717.402 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) 1548059717.403 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1548059717.403 * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 1548059717.403 * * [misc]simplify: iters left: 6 (8 enodes) 1548059717.404 * * [misc]simplify: iters left: 5 (13 enodes) 1548059717.406 * * [misc]simplify: iters left: 4 (14 enodes) 1548059717.409 * [exit]simplify: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) 1548059717.409 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 1548059717.409 * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # 1548059717.409 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1548059717.409 * * [misc]simplify: iters left: 5 (6 enodes) 1548059717.410 * * [misc]simplify: iters left: 4 (11 enodes) 1548059717.412 * * [misc]simplify: iters left: 3 (12 enodes) 1548059717.413 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) 1548059717.413 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 1548059717.413 * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # 1548059717.413 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1548059717.413 * * [misc]simplify: iters left: 5 (6 enodes) 1548059717.414 * * [misc]simplify: iters left: 4 (11 enodes) 1548059717.416 * * [misc]simplify: iters left: 3 (12 enodes) 1548059717.417 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) 1548059717.417 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 1548059717.417 * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # 1548059717.418 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1548059717.418 * * [misc]simplify: iters left: 6 (6 enodes) 1548059717.419 * * [misc]simplify: iters left: 5 (11 enodes) 1548059717.420 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1548059717.420 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 1548059717.420 * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # 1548059717.420 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1548059717.420 * * [misc]simplify: iters left: 4 (5 enodes) 1548059717.421 * * [misc]simplify: iters left: 3 (8 enodes) 1548059717.422 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1548059717.422 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 1548059717.422 * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # 1548059717.422 * [enter]simplify: Simplifying (log 1) 1548059717.422 * * [misc]simplify: iters left: 1 (2 enodes) 1548059717.423 * [exit]simplify: Simplified to 0 1548059717.423 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 1548059717.423 * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # 1548059717.423 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1548059717.423 * * [misc]simplify: iters left: 4 (7 enodes) 1548059717.425 * * [misc]simplify: iters left: 3 (15 enodes) 1548059717.427 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1548059717.427 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 (pow N 3))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 1548059717.427 * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # 1548059717.427 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1548059717.427 * * [misc]simplify: iters left: 5 (6 enodes) 1548059717.429 * * [misc]simplify: iters left: 4 (11 enodes) 1548059717.431 * * [misc]simplify: iters left: 3 (14 enodes) 1548059717.435 * * [misc]simplify: iters left: 2 (20 enodes) 1548059717.440 * * [misc]simplify: iters left: 1 (37 enodes) 1548059717.454 * [exit]simplify: Simplified to (log (- (* N N) 1)) 1548059717.454 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- (* N N) 1)) (+ (log (- N 1)) (log N)))) 1548059717.454 * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # 1548059717.454 * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # 1548059717.454 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1548059717.454 * * [misc]simplify: iters left: 6 (11 enodes) 1548059717.456 * * [misc]simplify: iters left: 5 (21 enodes) 1548059717.460 * * [misc]simplify: iters left: 4 (51 enodes) 1548059717.469 * * [misc]simplify: iters left: 3 (83 enodes) 1548059717.483 * * [misc]simplify: iters left: 2 (112 enodes) 1548059717.510 * * [misc]simplify: iters left: 1 (143 enodes) 1548059717.545 * [exit]simplify: Simplified to (+ (* (- (* N 1/3) 1/2) (* N N)) N) 1548059717.545 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (* (- (* N 1/3) 1/2) (* N N)) N) (log N))) 1548059717.545 * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # 1548059717.545 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1548059717.545 * * [misc]simplify: iters left: 6 (11 enodes) 1548059717.548 * * [misc]simplify: iters left: 5 (26 enodes) 1548059717.551 * * [misc]simplify: iters left: 4 (38 enodes) 1548059717.559 * * [misc]simplify: iters left: 3 (75 enodes) 1548059717.572 * * [misc]simplify: iters left: 2 (133 enodes) 1548059717.598 * * [misc]simplify: iters left: 1 (187 enodes) 1548059717.677 * [exit]simplify: Simplified to (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) 1548059717.677 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) (log N))) 1548059717.677 * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # 1548059717.677 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1548059717.677 * * [misc]simplify: iters left: 6 (15 enodes) 1548059717.681 * * [misc]simplify: iters left: 5 (31 enodes) 1548059717.687 * * [misc]simplify: iters left: 4 (64 enodes) 1548059717.699 * * [misc]simplify: iters left: 3 (156 enodes) 1548059717.755 * * [misc]simplify: iters left: 2 (389 enodes) 1548059717.927 * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) 1548059717.927 * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (log N))) 1548059717.927 * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # 1548059717.927 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059717.927 * * [misc]simplify: iters left: 6 (8 enodes) 1548059717.928 * * [misc]simplify: iters left: 5 (15 enodes) 1548059717.930 * * [misc]simplify: iters left: 4 (27 enodes) 1548059717.934 * * [misc]simplify: iters left: 3 (52 enodes) 1548059717.941 * * [misc]simplify: iters left: 2 (73 enodes) 1548059717.950 * * [misc]simplify: iters left: 1 (90 enodes) 1548059717.968 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059717.968 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1548059717.968 * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # 1548059717.968 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059717.968 * * [misc]simplify: iters left: 6 (15 enodes) 1548059717.974 * * [misc]simplify: iters left: 5 (31 enodes) 1548059717.988 * * [misc]simplify: iters left: 4 (57 enodes) 1548059718.003 * * [misc]simplify: iters left: 3 (89 enodes) 1548059718.027 * * [misc]simplify: iters left: 2 (137 enodes) 1548059718.052 * * [misc]simplify: iters left: 1 (207 enodes) 1548059718.083 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059718.083 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1548059718.083 * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # 1548059718.083 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059718.083 * * [misc]simplify: iters left: 6 (15 enodes) 1548059718.086 * * [misc]simplify: iters left: 5 (31 enodes) 1548059718.092 * * [misc]simplify: iters left: 4 (57 enodes) 1548059718.100 * * [misc]simplify: iters left: 3 (89 enodes) 1548059718.112 * * [misc]simplify: iters left: 2 (137 enodes) 1548059718.134 * * [misc]simplify: iters left: 1 (207 enodes) 1548059718.174 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059718.174 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1548059718.174 * * * [misc]progress: adding candidates to table 1548059718.811 * * [misc]progress: iteration 2 / 4 1548059718.811 * * * [misc]progress: picking best candidate 1548059718.822 * * * * [misc]pick: Picked # 1548059718.822 * * * [misc]progress: localizing error 1548059718.833 * * * [misc]progress: generating rewritten candidates 1548059718.833 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1548059718.835 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1548059718.839 * * * [misc]progress: generating series expansions 1548059718.839 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1548059718.840 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1548059718.840 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548059718.840 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059718.840 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059718.840 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059718.840 * [misc]taylor: Taking taylor expansion of N in N 1548059718.840 * [misc]backup-simplify: Simplify 0 into 0 1548059718.840 * [misc]backup-simplify: Simplify 1 into 1 1548059718.840 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.840 * [misc]backup-simplify: Simplify 1 into 1 1548059718.840 * [misc]taylor: Taking taylor expansion of N in N 1548059718.840 * [misc]backup-simplify: Simplify 0 into 0 1548059718.840 * [misc]backup-simplify: Simplify 1 into 1 1548059718.840 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.841 * [misc]backup-simplify: Simplify (log 1) into 0 1548059718.841 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059718.841 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059718.841 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059718.841 * [misc]taylor: Taking taylor expansion of N in N 1548059718.841 * [misc]backup-simplify: Simplify 0 into 0 1548059718.841 * [misc]backup-simplify: Simplify 1 into 1 1548059718.841 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.841 * [misc]backup-simplify: Simplify 1 into 1 1548059718.841 * [misc]taylor: Taking taylor expansion of N in N 1548059718.841 * [misc]backup-simplify: Simplify 0 into 0 1548059718.841 * [misc]backup-simplify: Simplify 1 into 1 1548059718.841 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.841 * [misc]backup-simplify: Simplify (log 1) into 0 1548059718.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059718.842 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059718.842 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.842 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059718.845 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059718.845 * [misc]backup-simplify: Simplify 1 into 1 1548059718.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.845 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059718.849 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059718.850 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059718.850 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059718.850 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1548059718.850 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548059718.850 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059718.850 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059718.850 * [misc]taylor: Taking taylor expansion of N in N 1548059718.850 * [misc]backup-simplify: Simplify 0 into 0 1548059718.850 * [misc]backup-simplify: Simplify 1 into 1 1548059718.850 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059718.850 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.850 * [misc]taylor: Taking taylor expansion of N in N 1548059718.850 * [misc]backup-simplify: Simplify 0 into 0 1548059718.850 * [misc]backup-simplify: Simplify 1 into 1 1548059718.850 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.851 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.851 * [misc]backup-simplify: Simplify 1 into 1 1548059718.851 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.851 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059718.851 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059718.851 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.852 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059718.852 * [misc]backup-simplify: Simplify (log 1) into 0 1548059718.852 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059718.852 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059718.852 * [misc]taylor: Taking taylor expansion of N in N 1548059718.852 * [misc]backup-simplify: Simplify 0 into 0 1548059718.852 * [misc]backup-simplify: Simplify 1 into 1 1548059718.852 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059718.852 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.852 * [misc]taylor: Taking taylor expansion of N in N 1548059718.852 * [misc]backup-simplify: Simplify 0 into 0 1548059718.852 * [misc]backup-simplify: Simplify 1 into 1 1548059718.852 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.852 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.852 * [misc]backup-simplify: Simplify 1 into 1 1548059718.853 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.853 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059718.853 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059718.853 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.853 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059718.853 * [misc]backup-simplify: Simplify (log 1) into 0 1548059718.854 * [misc]backup-simplify: Simplify 0 into 0 1548059718.854 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.854 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059718.857 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059718.857 * [misc]backup-simplify: Simplify 1 into 1 1548059718.857 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.858 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059718.862 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059718.862 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059718.863 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.863 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.863 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059718.870 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059718.871 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059718.871 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059718.871 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548059718.871 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548059718.871 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059718.871 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059718.871 * [misc]taylor: Taking taylor expansion of -1 in N 1548059718.871 * [misc]backup-simplify: Simplify -1 into -1 1548059718.872 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059718.872 * [misc]taylor: Taking taylor expansion of N in N 1548059718.872 * [misc]backup-simplify: Simplify 0 into 0 1548059718.872 * [misc]backup-simplify: Simplify 1 into 1 1548059718.872 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059718.872 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.872 * [misc]backup-simplify: Simplify 1 into 1 1548059718.872 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.872 * [misc]taylor: Taking taylor expansion of N in N 1548059718.872 * [misc]backup-simplify: Simplify 0 into 0 1548059718.872 * [misc]backup-simplify: Simplify 1 into 1 1548059718.872 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.872 * [misc]backup-simplify: Simplify (- 1) into -1 1548059718.872 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059718.872 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059718.873 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059718.873 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059718.873 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.873 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.873 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059718.874 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059718.874 * [misc]backup-simplify: Simplify (log 1) into 0 1548059718.874 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059718.874 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059718.874 * [misc]taylor: Taking taylor expansion of -1 in N 1548059718.874 * [misc]backup-simplify: Simplify -1 into -1 1548059718.874 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059718.874 * [misc]taylor: Taking taylor expansion of N in N 1548059718.874 * [misc]backup-simplify: Simplify 0 into 0 1548059718.874 * [misc]backup-simplify: Simplify 1 into 1 1548059718.874 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059718.874 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.874 * [misc]backup-simplify: Simplify 1 into 1 1548059718.874 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.874 * [misc]taylor: Taking taylor expansion of N in N 1548059718.874 * [misc]backup-simplify: Simplify 0 into 0 1548059718.874 * [misc]backup-simplify: Simplify 1 into 1 1548059718.874 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.874 * [misc]backup-simplify: Simplify (- 1) into -1 1548059718.874 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059718.875 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059718.875 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059718.875 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059718.875 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.875 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.875 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059718.876 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059718.876 * [misc]backup-simplify: Simplify (log 1) into 0 1548059718.876 * [misc]backup-simplify: Simplify 0 into 0 1548059718.876 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.876 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.877 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059718.877 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059718.879 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059718.879 * [misc]backup-simplify: Simplify -1 into -1 1548059718.879 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.879 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.880 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059718.880 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059718.884 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059718.884 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059718.884 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.884 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059718.885 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059718.890 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059718.890 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059718.890 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059718.890 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1548059718.890 * [misc]backup-simplify: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 1548059718.890 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1548059718.890 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059718.890 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059718.890 * [misc]taylor: Taking taylor expansion of N in N 1548059718.890 * [misc]backup-simplify: Simplify 0 into 0 1548059718.890 * [misc]backup-simplify: Simplify 1 into 1 1548059718.890 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.890 * [misc]backup-simplify: Simplify 1 into 1 1548059718.890 * [misc]taylor: Taking taylor expansion of N in N 1548059718.891 * [misc]backup-simplify: Simplify 0 into 0 1548059718.891 * [misc]backup-simplify: Simplify 1 into 1 1548059718.891 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.891 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.891 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059718.891 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059718.891 * [misc]taylor: Taking taylor expansion of N in N 1548059718.891 * [misc]backup-simplify: Simplify 0 into 0 1548059718.891 * [misc]backup-simplify: Simplify 1 into 1 1548059718.891 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.891 * [misc]backup-simplify: Simplify 1 into 1 1548059718.891 * [misc]taylor: Taking taylor expansion of N in N 1548059718.891 * [misc]backup-simplify: Simplify 0 into 0 1548059718.891 * [misc]backup-simplify: Simplify 1 into 1 1548059718.891 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.891 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.891 * [misc]backup-simplify: Simplify 1 into 1 1548059718.891 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.891 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059718.891 * [misc]backup-simplify: Simplify 1 into 1 1548059718.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059718.892 * [misc]backup-simplify: Simplify 0 into 0 1548059718.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.892 * [misc]backup-simplify: Simplify 0 into 0 1548059718.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.893 * [misc]backup-simplify: Simplify 0 into 0 1548059718.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.893 * [misc]backup-simplify: Simplify 0 into 0 1548059718.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.893 * [misc]backup-simplify: Simplify 0 into 0 1548059718.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.894 * [misc]backup-simplify: Simplify 0 into 0 1548059718.894 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1548059718.894 * [misc]backup-simplify: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1548059718.894 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1548059718.894 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059718.894 * [misc]taylor: Taking taylor expansion of N in N 1548059718.894 * [misc]backup-simplify: Simplify 0 into 0 1548059718.894 * [misc]backup-simplify: Simplify 1 into 1 1548059718.894 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059718.894 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.894 * [misc]taylor: Taking taylor expansion of N in N 1548059718.894 * [misc]backup-simplify: Simplify 0 into 0 1548059718.894 * [misc]backup-simplify: Simplify 1 into 1 1548059718.894 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.894 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.894 * [misc]backup-simplify: Simplify 1 into 1 1548059718.894 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059718.894 * [misc]taylor: Taking taylor expansion of N in N 1548059718.894 * [misc]backup-simplify: Simplify 0 into 0 1548059718.894 * [misc]backup-simplify: Simplify 1 into 1 1548059718.894 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059718.894 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.894 * [misc]taylor: Taking taylor expansion of N in N 1548059718.894 * [misc]backup-simplify: Simplify 0 into 0 1548059718.894 * [misc]backup-simplify: Simplify 1 into 1 1548059718.894 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.894 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.894 * [misc]backup-simplify: Simplify 1 into 1 1548059718.895 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.895 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059718.895 * [misc]backup-simplify: Simplify 0 into 0 1548059718.895 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059718.895 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059718.895 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059718.895 * [misc]backup-simplify: Simplify 1 into 1 1548059718.895 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059718.896 * [misc]backup-simplify: Simplify 1 into 1 1548059718.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059718.896 * [misc]backup-simplify: Simplify 0 into 0 1548059718.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.897 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059718.897 * [misc]backup-simplify: Simplify 0 into 0 1548059718.897 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.897 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.897 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1548059718.897 * [misc]backup-simplify: Simplify 0 into 0 1548059718.898 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.898 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1548059718.898 * [misc]backup-simplify: Simplify 0 into 0 1548059718.898 * [misc]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 1548059718.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1548059718.899 * [misc]backup-simplify: Simplify 0 into 0 1548059718.899 * [misc]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 1548059718.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1548059718.899 * [misc]backup-simplify: Simplify 0 into 0 1548059718.899 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1548059718.900 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1548059718.900 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1548059718.900 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of -1 in N 1548059718.900 * [misc]backup-simplify: Simplify -1 into -1 1548059718.900 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of N in N 1548059718.900 * [misc]backup-simplify: Simplify 0 into 0 1548059718.900 * [misc]backup-simplify: Simplify 1 into 1 1548059718.900 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.900 * [misc]backup-simplify: Simplify 1 into 1 1548059718.900 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of N in N 1548059718.900 * [misc]backup-simplify: Simplify 0 into 0 1548059718.900 * [misc]backup-simplify: Simplify 1 into 1 1548059718.900 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.900 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of -1 in N 1548059718.900 * [misc]backup-simplify: Simplify -1 into -1 1548059718.900 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of N in N 1548059718.900 * [misc]backup-simplify: Simplify 0 into 0 1548059718.900 * [misc]backup-simplify: Simplify 1 into 1 1548059718.900 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of 1 in N 1548059718.900 * [misc]backup-simplify: Simplify 1 into 1 1548059718.900 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059718.900 * [misc]taylor: Taking taylor expansion of N in N 1548059718.900 * [misc]backup-simplify: Simplify 0 into 0 1548059718.900 * [misc]backup-simplify: Simplify 1 into 1 1548059718.900 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059718.900 * [misc]backup-simplify: Simplify (- 1) into -1 1548059718.900 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059718.901 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059718.901 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059718.901 * [misc]backup-simplify: Simplify 0 into 0 1548059718.901 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059718.901 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.901 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059718.901 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059718.901 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059718.901 * [misc]backup-simplify: Simplify 1 into 1 1548059718.901 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.902 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.902 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059718.902 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059718.902 * [misc]backup-simplify: Simplify -1 into -1 1548059718.902 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.902 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.903 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059718.903 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059718.903 * [misc]backup-simplify: Simplify 0 into 0 1548059718.903 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.903 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.903 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.903 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059718.904 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059718.904 * [misc]backup-simplify: Simplify 0 into 0 1548059718.904 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.904 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1548059718.904 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1548059718.905 * [misc]backup-simplify: Simplify 0 into 0 1548059718.905 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059718.905 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.905 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.905 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1548059718.906 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1548059718.906 * [misc]backup-simplify: Simplify 0 into 0 1548059718.906 * [misc]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 1548059718.906 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1548059718.907 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1548059718.907 * [misc]backup-simplify: Simplify 0 into 0 1548059718.907 * [misc]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 1548059718.907 * [misc]backup-simplify: Simplify (- 0) into 0 1548059718.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059718.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1548059718.908 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1548059718.908 * [misc]backup-simplify: Simplify 0 into 0 1548059718.908 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1548059718.908 * * * [misc]progress: simplifying candidates 1548059718.908 * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # 1548059718.908 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548059718.908 * * [misc]simplify: iters left: 6 (7 enodes) 1548059718.909 * * [misc]simplify: iters left: 5 (12 enodes) 1548059718.911 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1548059718.911 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) 1548059718.911 * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # 1548059718.911 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1548059718.911 * * [misc]simplify: iters left: 6 (6 enodes) 1548059718.912 * * [misc]simplify: iters left: 5 (9 enodes) 1548059718.913 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1548059718.913 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1548059718.913 * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # 1548059718.913 * [enter]simplify: Simplifying (log 1) 1548059718.913 * * [misc]simplify: iters left: 1 (2 enodes) 1548059718.914 * [exit]simplify: Simplified to 0 1548059718.915 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 1548059718.915 * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # 1548059718.915 * [enter]simplify: Simplifying (log (+ N 1)) 1548059718.915 * * [misc]simplify: iters left: 3 (4 enodes) 1548059718.916 * * [misc]simplify: iters left: 2 (7 enodes) 1548059718.917 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059718.918 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (+ 1 N)) (log (/ 1 N)))) 1548059718.918 * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # 1548059718.918 * [enter]simplify: Simplifying (log (+ N 1)) 1548059718.918 * * [misc]simplify: iters left: 3 (4 enodes) 1548059718.919 * * [misc]simplify: iters left: 2 (7 enodes) 1548059718.921 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059718.921 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 N)) (log N))) 1548059718.921 * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # 1548059718.921 * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # 1548059718.921 * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # 1548059718.921 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059718.921 * * [misc]simplify: iters left: 4 (4 enodes) 1548059718.922 * * [misc]simplify: iters left: 3 (7 enodes) 1548059718.924 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059718.924 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1548059718.924 * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # 1548059718.924 * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # 1548059718.924 * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # 1548059718.924 * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # 1548059718.924 * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # 1548059718.924 * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # 1548059718.924 * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # 1548059718.925 * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # 1548059718.925 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1548059718.925 * * [misc]simplify: iters left: 5 (5 enodes) 1548059718.927 * * [misc]simplify: iters left: 4 (8 enodes) 1548059718.933 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1548059718.933 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))) 1548059718.933 * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # 1548059718.933 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1548059718.933 * * [misc]simplify: iters left: 3 (4 enodes) 1548059718.934 * * [misc]simplify: iters left: 2 (7 enodes) 1548059718.936 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1548059718.936 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))) 1548059718.936 * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # 1548059718.936 * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # 1548059718.936 * [enter]simplify: Simplifying (+ (pow N 3) (pow 1 3)) 1548059718.936 * * [misc]simplify: iters left: 3 (6 enodes) 1548059718.939 * * [misc]simplify: iters left: 2 (14 enodes) 1548059718.942 * [exit]simplify: Simplified to (+ 1 (pow N 3)) 1548059718.942 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (+ 1 (pow N 3)) (* N (+ (* N N) (- (* 1 1) (* N 1))))))) 1548059718.942 * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # 1548059718.942 * [enter]simplify: Simplifying (- (* N N) (* 1 1)) 1548059718.942 * * [misc]simplify: iters left: 4 (5 enodes) 1548059718.945 * * [misc]simplify: iters left: 3 (10 enodes) 1548059718.947 * * [misc]simplify: iters left: 2 (13 enodes) 1548059718.950 * * [misc]simplify: iters left: 1 (16 enodes) 1548059718.953 * [exit]simplify: Simplified to (- (* N N) 1) 1548059718.953 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- (* N N) 1) (* N (- N 1))))) 1548059718.954 * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # 1548059718.954 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059718.954 * * [misc]simplify: iters left: 6 (8 enodes) 1548059718.955 * * [misc]simplify: iters left: 5 (15 enodes) 1548059718.958 * * [misc]simplify: iters left: 4 (27 enodes) 1548059718.965 * * [misc]simplify: iters left: 3 (52 enodes) 1548059718.973 * * [misc]simplify: iters left: 2 (73 enodes) 1548059718.982 * * [misc]simplify: iters left: 1 (90 enodes) 1548059718.998 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059718.998 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1548059718.999 * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # 1548059718.999 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059718.999 * * [misc]simplify: iters left: 6 (15 enodes) 1548059719.005 * * [misc]simplify: iters left: 5 (31 enodes) 1548059719.017 * * [misc]simplify: iters left: 4 (57 enodes) 1548059719.033 * * [misc]simplify: iters left: 3 (89 enodes) 1548059719.058 * * [misc]simplify: iters left: 2 (137 enodes) 1548059719.089 * * [misc]simplify: iters left: 1 (207 enodes) 1548059719.150 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059719.150 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1548059719.150 * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # 1548059719.150 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.150 * * [misc]simplify: iters left: 6 (15 enodes) 1548059719.157 * * [misc]simplify: iters left: 5 (31 enodes) 1548059719.173 * * [misc]simplify: iters left: 4 (57 enodes) 1548059719.189 * * [misc]simplify: iters left: 3 (89 enodes) 1548059719.203 * * [misc]simplify: iters left: 2 (137 enodes) 1548059719.224 * * [misc]simplify: iters left: 1 (207 enodes) 1548059719.260 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059719.260 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1548059719.260 * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # 1548059719.261 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1548059719.261 * * [misc]simplify: iters left: 4 (4 enodes) 1548059719.261 * * [misc]simplify: iters left: 3 (7 enodes) 1548059719.262 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1548059719.262 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1548059719.262 * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # 1548059719.263 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1548059719.263 * * [misc]simplify: iters left: 4 (4 enodes) 1548059719.263 * * [misc]simplify: iters left: 3 (7 enodes) 1548059719.264 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1548059719.264 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1548059719.264 * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # 1548059719.264 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1548059719.265 * * [misc]simplify: iters left: 4 (4 enodes) 1548059719.265 * * [misc]simplify: iters left: 3 (7 enodes) 1548059719.266 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1548059719.266 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1548059719.266 * * * [misc]progress: adding candidates to table 1548059719.464 * * [misc]progress: iteration 3 / 4 1548059719.464 * * * [misc]progress: picking best candidate 1548059719.479 * * * * [misc]pick: Picked # 1548059719.479 * * * [misc]progress: localizing error 1548059719.489 * * * [misc]progress: generating rewritten candidates 1548059719.489 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1548059719.491 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1548059719.492 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1548059719.503 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1548059719.506 * * * [misc]progress: generating series expansions 1548059719.506 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1548059719.506 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1548059719.506 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548059719.506 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.506 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.506 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.506 * [misc]taylor: Taking taylor expansion of N in N 1548059719.506 * [misc]backup-simplify: Simplify 0 into 0 1548059719.506 * [misc]backup-simplify: Simplify 1 into 1 1548059719.506 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.506 * [misc]backup-simplify: Simplify 1 into 1 1548059719.506 * [misc]taylor: Taking taylor expansion of N in N 1548059719.506 * [misc]backup-simplify: Simplify 0 into 0 1548059719.506 * [misc]backup-simplify: Simplify 1 into 1 1548059719.507 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.507 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.507 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.507 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.507 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.507 * [misc]taylor: Taking taylor expansion of N in N 1548059719.507 * [misc]backup-simplify: Simplify 0 into 0 1548059719.507 * [misc]backup-simplify: Simplify 1 into 1 1548059719.507 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.507 * [misc]backup-simplify: Simplify 1 into 1 1548059719.507 * [misc]taylor: Taking taylor expansion of N in N 1548059719.507 * [misc]backup-simplify: Simplify 0 into 0 1548059719.507 * [misc]backup-simplify: Simplify 1 into 1 1548059719.507 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.507 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.508 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059719.508 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.508 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059719.511 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.511 * [misc]backup-simplify: Simplify 1 into 1 1548059719.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.511 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059719.515 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.515 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.516 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059719.516 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1548059719.516 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548059719.516 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.516 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.516 * [misc]taylor: Taking taylor expansion of N in N 1548059719.516 * [misc]backup-simplify: Simplify 0 into 0 1548059719.516 * [misc]backup-simplify: Simplify 1 into 1 1548059719.516 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.516 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.516 * [misc]taylor: Taking taylor expansion of N in N 1548059719.516 * [misc]backup-simplify: Simplify 0 into 0 1548059719.516 * [misc]backup-simplify: Simplify 1 into 1 1548059719.516 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.516 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.516 * [misc]backup-simplify: Simplify 1 into 1 1548059719.516 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.517 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.517 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.517 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.517 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.517 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.517 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.517 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.517 * [misc]taylor: Taking taylor expansion of N in N 1548059719.517 * [misc]backup-simplify: Simplify 0 into 0 1548059719.517 * [misc]backup-simplify: Simplify 1 into 1 1548059719.517 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.517 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.517 * [misc]taylor: Taking taylor expansion of N in N 1548059719.517 * [misc]backup-simplify: Simplify 0 into 0 1548059719.517 * [misc]backup-simplify: Simplify 1 into 1 1548059719.518 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.518 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.518 * [misc]backup-simplify: Simplify 1 into 1 1548059719.518 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.518 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.518 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.518 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.518 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.518 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.519 * [misc]backup-simplify: Simplify 0 into 0 1548059719.519 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.519 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059719.521 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.522 * [misc]backup-simplify: Simplify 1 into 1 1548059719.522 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.522 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.522 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059719.526 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.526 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.527 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059719.533 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059719.533 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059719.533 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.534 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548059719.534 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548059719.534 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.534 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.534 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.534 * [misc]backup-simplify: Simplify -1 into -1 1548059719.534 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.534 * [misc]taylor: Taking taylor expansion of N in N 1548059719.534 * [misc]backup-simplify: Simplify 0 into 0 1548059719.534 * [misc]backup-simplify: Simplify 1 into 1 1548059719.534 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.534 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.534 * [misc]backup-simplify: Simplify 1 into 1 1548059719.534 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.534 * [misc]taylor: Taking taylor expansion of N in N 1548059719.534 * [misc]backup-simplify: Simplify 0 into 0 1548059719.534 * [misc]backup-simplify: Simplify 1 into 1 1548059719.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.534 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.534 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.535 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.535 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.535 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.535 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.535 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.535 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.536 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.536 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.536 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.536 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.536 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.536 * [misc]backup-simplify: Simplify -1 into -1 1548059719.536 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.536 * [misc]taylor: Taking taylor expansion of N in N 1548059719.536 * [misc]backup-simplify: Simplify 0 into 0 1548059719.536 * [misc]backup-simplify: Simplify 1 into 1 1548059719.536 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.536 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.536 * [misc]backup-simplify: Simplify 1 into 1 1548059719.536 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.536 * [misc]taylor: Taking taylor expansion of N in N 1548059719.536 * [misc]backup-simplify: Simplify 0 into 0 1548059719.536 * [misc]backup-simplify: Simplify 1 into 1 1548059719.536 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.536 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.536 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.537 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.537 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.537 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.537 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.537 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.537 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.537 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.538 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.538 * [misc]backup-simplify: Simplify 0 into 0 1548059719.538 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.538 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.538 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059719.539 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059719.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059719.542 * [misc]backup-simplify: Simplify -1 into -1 1548059719.542 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.542 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.543 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059719.543 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059719.547 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.547 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.547 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.548 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.548 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059719.548 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059719.555 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059719.555 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059719.555 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.556 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1548059719.556 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1548059719.556 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548059719.556 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.556 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.556 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.556 * [misc]taylor: Taking taylor expansion of N in N 1548059719.556 * [misc]backup-simplify: Simplify 0 into 0 1548059719.556 * [misc]backup-simplify: Simplify 1 into 1 1548059719.556 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.556 * [misc]backup-simplify: Simplify 1 into 1 1548059719.556 * [misc]taylor: Taking taylor expansion of N in N 1548059719.556 * [misc]backup-simplify: Simplify 0 into 0 1548059719.556 * [misc]backup-simplify: Simplify 1 into 1 1548059719.556 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.556 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.556 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.556 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.556 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.556 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.556 * [misc]taylor: Taking taylor expansion of N in N 1548059719.557 * [misc]backup-simplify: Simplify 0 into 0 1548059719.557 * [misc]backup-simplify: Simplify 1 into 1 1548059719.557 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.557 * [misc]backup-simplify: Simplify 1 into 1 1548059719.557 * [misc]taylor: Taking taylor expansion of N in N 1548059719.557 * [misc]backup-simplify: Simplify 0 into 0 1548059719.557 * [misc]backup-simplify: Simplify 1 into 1 1548059719.557 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.557 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.557 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.557 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059719.558 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.558 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059719.560 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.560 * [misc]backup-simplify: Simplify 1 into 1 1548059719.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.560 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059719.564 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.564 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.564 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059719.564 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1548059719.564 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548059719.564 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.564 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.564 * [misc]taylor: Taking taylor expansion of N in N 1548059719.565 * [misc]backup-simplify: Simplify 0 into 0 1548059719.565 * [misc]backup-simplify: Simplify 1 into 1 1548059719.565 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.565 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.565 * [misc]taylor: Taking taylor expansion of N in N 1548059719.565 * [misc]backup-simplify: Simplify 0 into 0 1548059719.565 * [misc]backup-simplify: Simplify 1 into 1 1548059719.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.565 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.565 * [misc]backup-simplify: Simplify 1 into 1 1548059719.565 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.565 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.565 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.565 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.565 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.565 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.565 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.565 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.565 * [misc]taylor: Taking taylor expansion of N in N 1548059719.565 * [misc]backup-simplify: Simplify 0 into 0 1548059719.565 * [misc]backup-simplify: Simplify 1 into 1 1548059719.566 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.566 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.566 * [misc]taylor: Taking taylor expansion of N in N 1548059719.566 * [misc]backup-simplify: Simplify 0 into 0 1548059719.566 * [misc]backup-simplify: Simplify 1 into 1 1548059719.566 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.566 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.566 * [misc]backup-simplify: Simplify 1 into 1 1548059719.566 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.566 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.566 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.566 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.566 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.566 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.566 * [misc]backup-simplify: Simplify 0 into 0 1548059719.567 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.567 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059719.568 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.568 * [misc]backup-simplify: Simplify 1 into 1 1548059719.568 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.569 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059719.571 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.571 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.571 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.572 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059719.575 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059719.575 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059719.576 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.576 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548059719.576 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548059719.576 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.576 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.576 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.576 * [misc]backup-simplify: Simplify -1 into -1 1548059719.576 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.576 * [misc]taylor: Taking taylor expansion of N in N 1548059719.576 * [misc]backup-simplify: Simplify 0 into 0 1548059719.576 * [misc]backup-simplify: Simplify 1 into 1 1548059719.576 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.576 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.576 * [misc]backup-simplify: Simplify 1 into 1 1548059719.576 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.576 * [misc]taylor: Taking taylor expansion of N in N 1548059719.576 * [misc]backup-simplify: Simplify 0 into 0 1548059719.576 * [misc]backup-simplify: Simplify 1 into 1 1548059719.576 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.576 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.576 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.576 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.577 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.577 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.577 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.577 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.577 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.577 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.577 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.577 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.577 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.577 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.577 * [misc]backup-simplify: Simplify -1 into -1 1548059719.577 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.577 * [misc]taylor: Taking taylor expansion of N in N 1548059719.577 * [misc]backup-simplify: Simplify 0 into 0 1548059719.577 * [misc]backup-simplify: Simplify 1 into 1 1548059719.577 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.577 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.577 * [misc]backup-simplify: Simplify 1 into 1 1548059719.577 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.577 * [misc]taylor: Taking taylor expansion of N in N 1548059719.577 * [misc]backup-simplify: Simplify 0 into 0 1548059719.577 * [misc]backup-simplify: Simplify 1 into 1 1548059719.578 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.578 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.578 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.578 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.578 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.578 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.578 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.578 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.578 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.578 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.579 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.579 * [misc]backup-simplify: Simplify 0 into 0 1548059719.579 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.579 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.579 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059719.579 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059719.581 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059719.581 * [misc]backup-simplify: Simplify -1 into -1 1548059719.581 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.581 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.581 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059719.582 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059719.584 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.584 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.584 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.584 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.585 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059719.585 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059719.588 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059719.589 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059719.589 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.589 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1548059719.589 * [misc]backup-simplify: Simplify (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) into (log (/ (+ N 1) N)) 1548059719.589 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548059719.589 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.589 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.589 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.589 * [misc]taylor: Taking taylor expansion of N in N 1548059719.589 * [misc]backup-simplify: Simplify 0 into 0 1548059719.589 * [misc]backup-simplify: Simplify 1 into 1 1548059719.589 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.589 * [misc]backup-simplify: Simplify 1 into 1 1548059719.589 * [misc]taylor: Taking taylor expansion of N in N 1548059719.589 * [misc]backup-simplify: Simplify 0 into 0 1548059719.589 * [misc]backup-simplify: Simplify 1 into 1 1548059719.589 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.589 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.590 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.590 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.590 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.590 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.590 * [misc]taylor: Taking taylor expansion of N in N 1548059719.590 * [misc]backup-simplify: Simplify 0 into 0 1548059719.590 * [misc]backup-simplify: Simplify 1 into 1 1548059719.590 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.590 * [misc]backup-simplify: Simplify 1 into 1 1548059719.590 * [misc]taylor: Taking taylor expansion of N in N 1548059719.590 * [misc]backup-simplify: Simplify 0 into 0 1548059719.590 * [misc]backup-simplify: Simplify 1 into 1 1548059719.590 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.590 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.590 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.590 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059719.590 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.590 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059719.592 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.592 * [misc]backup-simplify: Simplify 1 into 1 1548059719.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.592 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059719.595 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.595 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.595 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059719.596 * [misc]backup-simplify: Simplify (* (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1))) 1548059719.597 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548059719.597 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.597 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.597 * [misc]taylor: Taking taylor expansion of N in N 1548059719.597 * [misc]backup-simplify: Simplify 0 into 0 1548059719.597 * [misc]backup-simplify: Simplify 1 into 1 1548059719.597 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.597 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.597 * [misc]taylor: Taking taylor expansion of N in N 1548059719.597 * [misc]backup-simplify: Simplify 0 into 0 1548059719.597 * [misc]backup-simplify: Simplify 1 into 1 1548059719.597 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.597 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.597 * [misc]backup-simplify: Simplify 1 into 1 1548059719.597 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.597 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.598 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.598 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.598 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.598 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.598 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.598 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.598 * [misc]taylor: Taking taylor expansion of N in N 1548059719.598 * [misc]backup-simplify: Simplify 0 into 0 1548059719.598 * [misc]backup-simplify: Simplify 1 into 1 1548059719.598 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.598 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.598 * [misc]taylor: Taking taylor expansion of N in N 1548059719.598 * [misc]backup-simplify: Simplify 0 into 0 1548059719.598 * [misc]backup-simplify: Simplify 1 into 1 1548059719.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.598 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.598 * [misc]backup-simplify: Simplify 1 into 1 1548059719.599 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.599 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.599 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.599 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.599 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.600 * [misc]backup-simplify: Simplify 0 into 0 1548059719.600 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.600 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059719.602 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.602 * [misc]backup-simplify: Simplify 1 into 1 1548059719.603 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.603 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059719.607 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.607 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.607 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.608 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059719.615 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059719.615 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059719.615 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.616 * [misc]backup-simplify: Simplify (* (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548059719.616 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548059719.616 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.616 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.616 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.616 * [misc]backup-simplify: Simplify -1 into -1 1548059719.616 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.616 * [misc]taylor: Taking taylor expansion of N in N 1548059719.616 * [misc]backup-simplify: Simplify 0 into 0 1548059719.616 * [misc]backup-simplify: Simplify 1 into 1 1548059719.616 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.616 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.616 * [misc]backup-simplify: Simplify 1 into 1 1548059719.616 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.616 * [misc]taylor: Taking taylor expansion of N in N 1548059719.616 * [misc]backup-simplify: Simplify 0 into 0 1548059719.616 * [misc]backup-simplify: Simplify 1 into 1 1548059719.616 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.617 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.617 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.617 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.617 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.617 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.617 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.618 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.618 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.618 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.618 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.618 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.618 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.618 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.618 * [misc]backup-simplify: Simplify -1 into -1 1548059719.618 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.618 * [misc]taylor: Taking taylor expansion of N in N 1548059719.618 * [misc]backup-simplify: Simplify 0 into 0 1548059719.618 * [misc]backup-simplify: Simplify 1 into 1 1548059719.618 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.618 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.618 * [misc]backup-simplify: Simplify 1 into 1 1548059719.618 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.618 * [misc]taylor: Taking taylor expansion of N in N 1548059719.619 * [misc]backup-simplify: Simplify 0 into 0 1548059719.619 * [misc]backup-simplify: Simplify 1 into 1 1548059719.619 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.619 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.619 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.619 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.619 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.620 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.620 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.620 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.620 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.620 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.620 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.621 * [misc]backup-simplify: Simplify 0 into 0 1548059719.621 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.621 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.621 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.621 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059719.622 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059719.624 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059719.625 * [misc]backup-simplify: Simplify -1 into -1 1548059719.625 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.625 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.626 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059719.626 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059719.631 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.631 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059719.631 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.632 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.632 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059719.632 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059719.640 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059719.640 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059719.640 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059719.640 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1548059719.641 * [misc]backup-simplify: Simplify (sqrt (log (/ (+ N 1) N))) into (sqrt (log (/ (+ N 1) N))) 1548059719.641 * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in (N) around 0 1548059719.641 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N 1548059719.641 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.641 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.641 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.641 * [misc]taylor: Taking taylor expansion of N in N 1548059719.641 * [misc]backup-simplify: Simplify 0 into 0 1548059719.641 * [misc]backup-simplify: Simplify 1 into 1 1548059719.641 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.641 * [misc]backup-simplify: Simplify 1 into 1 1548059719.641 * [misc]taylor: Taking taylor expansion of N in N 1548059719.641 * [misc]backup-simplify: Simplify 0 into 0 1548059719.641 * [misc]backup-simplify: Simplify 1 into 1 1548059719.641 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.641 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.642 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.642 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.642 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.642 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059719.643 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.643 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059719.645 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.646 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.646 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1548059719.646 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N 1548059719.646 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059719.646 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059719.646 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059719.646 * [misc]taylor: Taking taylor expansion of N in N 1548059719.646 * [misc]backup-simplify: Simplify 0 into 0 1548059719.646 * [misc]backup-simplify: Simplify 1 into 1 1548059719.646 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.646 * [misc]backup-simplify: Simplify 1 into 1 1548059719.646 * [misc]taylor: Taking taylor expansion of N in N 1548059719.646 * [misc]backup-simplify: Simplify 0 into 0 1548059719.646 * [misc]backup-simplify: Simplify 1 into 1 1548059719.647 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.647 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.647 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.647 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.647 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.647 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059719.648 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.648 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059719.650 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.651 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059719.651 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1548059719.651 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059719.651 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 1548059719.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059719.657 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.659 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1548059719.659 * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1548059719.660 * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (pow N 2)) (+ (* (/ 1/2 (sqrt (- (log N)))) N) (sqrt (- (log N))))) into (- (+ (* 1/2 (/ N (sqrt (- (log N))))) (sqrt (- (log N)))) (+ (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))) (* 1/4 (/ (pow N 2) (sqrt (- (log N))))))) 1548059719.660 * [misc]backup-simplify: Simplify (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) into (sqrt (log (* N (+ (/ 1 N) 1)))) 1548059719.660 * [misc]approximate: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in (N) around 0 1548059719.660 * [misc]taylor: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in N 1548059719.660 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.660 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.660 * [misc]taylor: Taking taylor expansion of N in N 1548059719.660 * [misc]backup-simplify: Simplify 0 into 0 1548059719.660 * [misc]backup-simplify: Simplify 1 into 1 1548059719.660 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.660 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.660 * [misc]taylor: Taking taylor expansion of N in N 1548059719.660 * [misc]backup-simplify: Simplify 0 into 0 1548059719.660 * [misc]backup-simplify: Simplify 1 into 1 1548059719.660 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.660 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.660 * [misc]backup-simplify: Simplify 1 into 1 1548059719.660 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.660 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.661 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.661 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.661 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.661 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.661 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059719.663 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.663 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059719.664 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548059719.664 * [misc]taylor: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in N 1548059719.664 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059719.664 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059719.664 * [misc]taylor: Taking taylor expansion of N in N 1548059719.664 * [misc]backup-simplify: Simplify 0 into 0 1548059719.664 * [misc]backup-simplify: Simplify 1 into 1 1548059719.664 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059719.664 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.664 * [misc]taylor: Taking taylor expansion of N in N 1548059719.664 * [misc]backup-simplify: Simplify 0 into 0 1548059719.664 * [misc]backup-simplify: Simplify 1 into 1 1548059719.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.664 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.664 * [misc]backup-simplify: Simplify 1 into 1 1548059719.664 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.664 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059719.664 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.664 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059719.665 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059719.665 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.665 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.665 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059719.666 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059719.667 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059719.667 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548059719.667 * [misc]backup-simplify: Simplify 0 into 0 1548059719.667 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059719.667 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059719.670 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.671 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548059719.671 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059719.671 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059719.676 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059719.677 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548059719.677 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059719.677 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059719.677 * [misc]backup-simplify: Simplify (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) 1548059719.677 * [misc]approximate: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1548059719.677 * [misc]taylor: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in N 1548059719.677 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.677 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.677 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.677 * [misc]backup-simplify: Simplify -1 into -1 1548059719.677 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.678 * [misc]taylor: Taking taylor expansion of N in N 1548059719.678 * [misc]backup-simplify: Simplify 0 into 0 1548059719.678 * [misc]backup-simplify: Simplify 1 into 1 1548059719.678 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.678 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.678 * [misc]backup-simplify: Simplify 1 into 1 1548059719.678 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.678 * [misc]taylor: Taking taylor expansion of N in N 1548059719.678 * [misc]backup-simplify: Simplify 0 into 0 1548059719.678 * [misc]backup-simplify: Simplify 1 into 1 1548059719.678 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.678 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.678 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.678 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.678 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.678 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.678 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.679 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.679 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.679 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.679 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.679 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.679 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059719.680 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059719.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059719.681 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059719.682 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548059719.682 * [misc]taylor: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in N 1548059719.682 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059719.682 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059719.682 * [misc]taylor: Taking taylor expansion of -1 in N 1548059719.682 * [misc]backup-simplify: Simplify -1 into -1 1548059719.682 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059719.682 * [misc]taylor: Taking taylor expansion of N in N 1548059719.682 * [misc]backup-simplify: Simplify 0 into 0 1548059719.682 * [misc]backup-simplify: Simplify 1 into 1 1548059719.682 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059719.682 * [misc]taylor: Taking taylor expansion of 1 in N 1548059719.682 * [misc]backup-simplify: Simplify 1 into 1 1548059719.682 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059719.682 * [misc]taylor: Taking taylor expansion of N in N 1548059719.682 * [misc]backup-simplify: Simplify 0 into 0 1548059719.682 * [misc]backup-simplify: Simplify 1 into 1 1548059719.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059719.682 * [misc]backup-simplify: Simplify (- 1) into -1 1548059719.682 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059719.682 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059719.682 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059719.683 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059719.683 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.683 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059719.683 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059719.683 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059719.683 * [misc]backup-simplify: Simplify (log 1) into 0 1548059719.683 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.683 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.683 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059719.684 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059719.685 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059719.685 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059719.686 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548059719.686 * [misc]backup-simplify: Simplify 0 into 0 1548059719.686 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059719.686 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.686 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.686 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059719.686 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059719.689 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059719.690 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548059719.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059719.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059719.690 * [misc]backup-simplify: Simplify (- 0) into 0 1548059719.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059719.690 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059719.691 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059719.694 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059719.695 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548059719.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059719.695 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059719.696 * * * [misc]progress: simplifying candidates 1548059719.696 * * * * [misc]progress: [ 1 / 85 ] simplifiying candidate # 1548059719.696 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548059719.696 * * [misc]simplify: iters left: 6 (7 enodes) 1548059719.697 * * [misc]simplify: iters left: 5 (12 enodes) 1548059719.698 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1548059719.698 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))))) 1548059719.698 * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # 1548059719.699 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1548059719.699 * * [misc]simplify: iters left: 6 (6 enodes) 1548059719.699 * * [misc]simplify: iters left: 5 (9 enodes) 1548059719.700 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1548059719.701 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))))) 1548059719.701 * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # 1548059719.701 * [enter]simplify: Simplifying (log 1) 1548059719.701 * * [misc]simplify: iters left: 1 (2 enodes) 1548059719.702 * [exit]simplify: Simplified to 0 1548059719.702 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ 0 (log (/ (+ N 1) N)))))) 1548059719.702 * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # 1548059719.702 * [enter]simplify: Simplifying (log (+ N 1)) 1548059719.702 * * [misc]simplify: iters left: 3 (4 enodes) 1548059719.702 * * [misc]simplify: iters left: 2 (7 enodes) 1548059719.703 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059719.703 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ (log (+ 1 N)) (log (/ 1 N)))))) 1548059719.703 * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # 1548059719.703 * [enter]simplify: Simplifying (log (+ N 1)) 1548059719.703 * * [misc]simplify: iters left: 3 (4 enodes) 1548059719.704 * * [misc]simplify: iters left: 2 (7 enodes) 1548059719.705 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059719.705 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (log (+ 1 N)) (log N))))) 1548059719.705 * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # 1548059719.705 * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # 1548059719.705 * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # 1548059719.705 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059719.705 * * [misc]simplify: iters left: 4 (4 enodes) 1548059719.706 * * [misc]simplify: iters left: 3 (7 enodes) 1548059719.706 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059719.706 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ 1 N) N))))) 1548059719.706 * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # 1548059719.706 * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # 1548059719.706 * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # 1548059719.706 * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # 1548059719.707 * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # 1548059719.707 * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # 1548059719.707 * * * * [misc]progress: [ 15 / 85 ] simplifiying candidate # 1548059719.707 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548059719.707 * * [misc]simplify: iters left: 6 (7 enodes) 1548059719.708 * * [misc]simplify: iters left: 5 (12 enodes) 1548059719.709 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1548059719.709 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) (sqrt (log (/ (+ N 1) N))))) 1548059719.709 * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # 1548059719.709 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1548059719.709 * * [misc]simplify: iters left: 6 (6 enodes) 1548059719.710 * * [misc]simplify: iters left: 5 (9 enodes) 1548059719.711 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1548059719.711 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) (sqrt (log (/ (+ N 1) N))))) 1548059719.711 * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # 1548059719.711 * [enter]simplify: Simplifying (log 1) 1548059719.712 * * [misc]simplify: iters left: 1 (2 enodes) 1548059719.712 * [exit]simplify: Simplified to 0 1548059719.712 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ 0 (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))))) 1548059719.712 * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # 1548059719.712 * [enter]simplify: Simplifying (log (+ N 1)) 1548059719.712 * * [misc]simplify: iters left: 3 (4 enodes) 1548059719.713 * * [misc]simplify: iters left: 2 (7 enodes) 1548059719.714 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059719.714 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (+ 1 N)) (log (/ 1 N)))) (sqrt (log (/ (+ N 1) N))))) 1548059719.714 * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # 1548059719.714 * [enter]simplify: Simplifying (log (+ N 1)) 1548059719.714 * * [misc]simplify: iters left: 3 (4 enodes) 1548059719.715 * * [misc]simplify: iters left: 2 (7 enodes) 1548059719.717 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059719.717 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (- (log (+ 1 N)) (log N))) (sqrt (log (/ (+ N 1) N))))) 1548059719.717 * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # 1548059719.717 * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # 1548059719.717 * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # 1548059719.717 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059719.717 * * [misc]simplify: iters left: 4 (4 enodes) 1548059719.718 * * [misc]simplify: iters left: 3 (7 enodes) 1548059719.720 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059719.720 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ N 1) N))))) 1548059719.720 * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # 1548059719.720 * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # 1548059719.720 * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # 1548059719.720 * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # 1548059719.720 * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # 1548059719.720 * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # 1548059719.720 * * * * [misc]progress: [ 29 / 85 ] simplifiying candidate # 1548059719.720 * [enter]simplify: Simplifying (log (/ (+ N 1) N)) 1548059719.720 * * [misc]simplify: iters left: 5 (5 enodes) 1548059719.722 * * [misc]simplify: iters left: 4 (11 enodes) 1548059719.725 * * [misc]simplify: iters left: 3 (13 enodes) 1548059719.727 * * [misc]simplify: iters left: 2 (14 enodes) 1548059719.731 * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) 1548059719.731 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (log (/ (+ 1 N) N)) (+ 1/2 1/2))) 1548059719.731 * [enter]simplify: Simplifying (+ 1/2 1/2) 1548059719.731 * * [misc]simplify: iters left: 2 (2 enodes) 1548059719.733 * * [misc]simplify: iters left: 1 (3 enodes) 1548059719.734 * [exit]simplify: Simplified to 1 1548059719.734 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (log (/ (+ N 1) N)) 1)) 1548059719.734 * * * * [misc]progress: [ 30 / 85 ] simplifiying candidate # 1548059719.734 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059719.734 * * [misc]simplify: iters left: 6 (6 enodes) 1548059719.736 * * [misc]simplify: iters left: 5 (12 enodes) 1548059719.739 * * [misc]simplify: iters left: 4 (14 enodes) 1548059719.742 * * [misc]simplify: iters left: 3 (15 enodes) 1548059719.745 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059719.745 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (log (/ (+ 1 N) N))) (+ 1 1))) 1548059719.746 * [enter]simplify: Simplifying (+ 1 1) 1548059719.746 * * [misc]simplify: iters left: 2 (2 enodes) 1548059719.747 * * [misc]simplify: iters left: 1 (5 enodes) 1548059719.748 * [exit]simplify: Simplified to 2 1548059719.748 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (log (/ (+ N 1) N))) 2)) 1548059719.748 * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # 1548059719.748 * [enter]simplify: Simplifying (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) 1548059719.748 * * [misc]simplify: iters left: 6 (6 enodes) 1548059719.750 * * [misc]simplify: iters left: 5 (12 enodes) 1548059719.753 * * [misc]simplify: iters left: 4 (14 enodes) 1548059719.756 * * [misc]simplify: iters left: 3 (21 enodes) 1548059719.762 * * [misc]simplify: iters left: 2 (39 enodes) 1548059719.776 * * [misc]simplify: iters left: 1 (85 enodes) 1548059719.800 * [exit]simplify: Simplified to (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) 1548059719.800 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) 1/2)) 1548059719.800 * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # 1548059719.800 * [enter]simplify: Simplifying (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) 1548059719.800 * * [misc]simplify: iters left: 6 (7 enodes) 1548059719.801 * * [misc]simplify: iters left: 5 (13 enodes) 1548059719.802 * * [misc]simplify: iters left: 4 (16 enodes) 1548059719.804 * * [misc]simplify: iters left: 3 (17 enodes) 1548059719.806 * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) 1548059719.806 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (log (/ (+ 1 N) N)) 1)) 1548059719.806 * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # 1548059719.806 * * * * [misc]progress: [ 34 / 85 ] simplifiying candidate # 1548059719.806 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059719.806 * * [misc]simplify: iters left: 6 (6 enodes) 1548059719.807 * * [misc]simplify: iters left: 5 (12 enodes) 1548059719.809 * * [misc]simplify: iters left: 4 (14 enodes) 1548059719.810 * * [misc]simplify: iters left: 3 (15 enodes) 1548059719.812 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059719.812 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (log (/ (+ 1 N) N))) (+ 1 1))) 1548059719.812 * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # 1548059719.812 * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # 1548059719.812 * [enter]simplify: Simplifying (+ (log (sqrt (log (/ (+ N 1) N)))) (log (sqrt (log (/ (+ N 1) N))))) 1548059719.812 * * [misc]simplify: iters left: 6 (8 enodes) 1548059719.813 * * [misc]simplify: iters left: 5 (14 enodes) 1548059719.815 * * [misc]simplify: iters left: 4 (16 enodes) 1548059719.816 * * [misc]simplify: iters left: 3 (17 enodes) 1548059719.818 * [exit]simplify: Simplified to (+ (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N))))) 1548059719.819 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N))))))) 1548059719.819 * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # 1548059719.819 * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # 1548059719.819 * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # 1548059719.819 * [enter]simplify: Simplifying (* (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))))) 1548059719.819 * * [misc]simplify: iters left: 6 (9 enodes) 1548059719.820 * * [misc]simplify: iters left: 5 (21 enodes) 1548059719.823 * * [misc]simplify: iters left: 4 (36 enodes) 1548059719.830 * * [misc]simplify: iters left: 3 (63 enodes) 1548059719.843 * * [misc]simplify: iters left: 2 (187 enodes) 1548059719.959 * [exit]simplify: Simplified to (pow (log (/ (+ 1 N) N)) 3) 1548059719.959 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (log (/ (+ 1 N) N)) 3))) 1548059719.960 * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # 1548059719.960 * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # 1548059719.960 * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # 1548059719.960 * [enter]simplify: Simplifying (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) 1548059719.960 * * [misc]simplify: iters left: 6 (6 enodes) 1548059719.961 * * [misc]simplify: iters left: 5 (12 enodes) 1548059719.962 * * [misc]simplify: iters left: 4 (14 enodes) 1548059719.964 * * [misc]simplify: iters left: 3 (21 enodes) 1548059719.967 * * [misc]simplify: iters left: 2 (39 enodes) 1548059719.973 * * [misc]simplify: iters left: 1 (85 enodes) 1548059719.989 * [exit]simplify: Simplified to (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) 1548059719.989 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))))) 1548059719.989 * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # 1548059719.989 * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # 1548059719.989 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059719.990 * * [misc]simplify: iters left: 4 (4 enodes) 1548059719.991 * * [misc]simplify: iters left: 3 (7 enodes) 1548059719.992 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059719.992 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1548059719.992 * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # 1548059719.993 * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # 1548059719.993 * [enter]simplify: Simplifying (cbrt (sqrt (log (/ (+ N 1) N)))) 1548059719.993 * * [misc]simplify: iters left: 6 (7 enodes) 1548059719.995 * * [misc]simplify: iters left: 5 (13 enodes) 1548059719.998 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.001 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.005 * [exit]simplify: Simplified to (cbrt (sqrt (log (/ (+ 1 N) N)))) 1548059720.005 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (* (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N)))))) (cbrt (sqrt (log (/ (+ 1 N) N)))))) 1548059720.005 * * * * [misc]progress: [ 47 / 85 ] simplifiying candidate # 1548059720.005 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059720.005 * * [misc]simplify: iters left: 6 (6 enodes) 1548059720.007 * * [misc]simplify: iters left: 5 (12 enodes) 1548059720.010 * * [misc]simplify: iters left: 4 (14 enodes) 1548059720.013 * * [misc]simplify: iters left: 3 (15 enodes) 1548059720.014 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059720.014 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt 1)) (sqrt (log (/ (+ 1 N) N))))) 1548059720.014 * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # 1548059720.015 * [enter]simplify: Simplifying (sqrt (cbrt (log (/ (+ N 1) N)))) 1548059720.015 * * [misc]simplify: iters left: 6 (7 enodes) 1548059720.016 * * [misc]simplify: iters left: 5 (13 enodes) 1548059720.017 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.020 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.022 * [exit]simplify: Simplified to (sqrt (cbrt (log (/ (+ 1 N) N)))) 1548059720.022 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))))) (sqrt (cbrt (log (/ (+ 1 N) N)))))) 1548059720.022 * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # 1548059720.022 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059720.023 * * [misc]simplify: iters left: 6 (7 enodes) 1548059720.024 * * [misc]simplify: iters left: 5 (13 enodes) 1548059720.025 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.027 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.029 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059720.029 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (sqrt (log (/ (+ N 1) N))))) (sqrt (sqrt (log (/ (+ 1 N) N)))))) 1548059720.029 * * * * [misc]progress: [ 50 / 85 ] simplifiying candidate # 1548059720.029 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059720.029 * * [misc]simplify: iters left: 6 (6 enodes) 1548059720.030 * * [misc]simplify: iters left: 5 (12 enodes) 1548059720.032 * * [misc]simplify: iters left: 4 (14 enodes) 1548059720.034 * * [misc]simplify: iters left: 3 (15 enodes) 1548059720.036 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059720.036 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt 1)) (sqrt (log (/ (+ 1 N) N))))) 1548059720.036 * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # 1548059720.036 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059720.036 * * [misc]simplify: iters left: 6 (7 enodes) 1548059720.037 * * [misc]simplify: iters left: 5 (13 enodes) 1548059720.039 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.040 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.042 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059720.042 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (sqrt (log (/ (+ N 1) N))))) (sqrt (sqrt (log (/ (+ 1 N) N)))))) 1548059720.042 * * * * [misc]progress: [ 52 / 85 ] simplifiying candidate # 1548059720.043 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059720.043 * * [misc]simplify: iters left: 6 (6 enodes) 1548059720.044 * * [misc]simplify: iters left: 5 (12 enodes) 1548059720.046 * * [misc]simplify: iters left: 4 (14 enodes) 1548059720.049 * * [misc]simplify: iters left: 3 (15 enodes) 1548059720.052 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059720.052 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) 1) (sqrt (log (/ (+ 1 N) N))))) 1548059720.052 * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # 1548059720.053 * [enter]simplify: Simplifying (* (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N))))) 1548059720.053 * * [misc]simplify: iters left: 6 (8 enodes) 1548059720.055 * * [misc]simplify: iters left: 5 (14 enodes) 1548059720.058 * * [misc]simplify: iters left: 4 (16 enodes) 1548059720.062 * * [misc]simplify: iters left: 3 (17 enodes) 1548059720.065 * [exit]simplify: Simplified to (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N))))) 1548059720.065 * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N))))) (* (cbrt (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) 1548059720.066 * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # 1548059720.066 * [enter]simplify: Simplifying (sqrt 1) 1548059720.066 * * [misc]simplify: iters left: 1 (2 enodes) 1548059720.067 * [exit]simplify: Simplified to 1 1548059720.067 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))))) 1548059720.067 * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # 1548059720.068 * [enter]simplify: Simplifying (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N))))) 1548059720.068 * * [misc]simplify: iters left: 6 (8 enodes) 1548059720.072 * * [misc]simplify: iters left: 5 (15 enodes) 1548059720.076 * * [misc]simplify: iters left: 4 (17 enodes) 1548059720.080 * * [misc]simplify: iters left: 3 (18 enodes) 1548059720.085 * [exit]simplify: Simplified to (fabs (cbrt (log (/ (+ 1 N) N)))) 1548059720.085 * [misc]simplify: Simplified (2 1) to (λ (N) (* (fabs (cbrt (log (/ (+ 1 N) N)))) (* (sqrt (cbrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) 1548059720.085 * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # 1548059720.086 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059720.086 * * [misc]simplify: iters left: 6 (7 enodes) 1548059720.088 * * [misc]simplify: iters left: 5 (13 enodes) 1548059720.091 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.094 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.098 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059720.098 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (* (sqrt (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) 1548059720.098 * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # 1548059720.099 * [enter]simplify: Simplifying (sqrt 1) 1548059720.099 * * [misc]simplify: iters left: 1 (2 enodes) 1548059720.100 * [exit]simplify: Simplified to 1 1548059720.100 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))))) 1548059720.100 * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # 1548059720.100 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059720.100 * * [misc]simplify: iters left: 6 (7 enodes) 1548059720.102 * * [misc]simplify: iters left: 5 (13 enodes) 1548059720.105 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.108 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.112 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059720.112 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (* (sqrt (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) 1548059720.112 * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # 1548059720.112 * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # 1548059720.112 * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # 1548059720.112 * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # 1548059720.113 * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # 1548059720.113 * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # 1548059720.113 * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # 1548059720.113 * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # 1548059720.113 * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # 1548059720.113 * [enter]simplify: Simplifying (sqrt 1) 1548059720.113 * * [misc]simplify: iters left: 1 (2 enodes) 1548059720.114 * [exit]simplify: Simplified to 1 1548059720.114 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* 1 (sqrt (log (/ (+ N 1) N)))))) 1548059720.114 * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # 1548059720.115 * [enter]simplify: Simplifying (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N))))) 1548059720.115 * * [misc]simplify: iters left: 6 (8 enodes) 1548059720.117 * * [misc]simplify: iters left: 5 (15 enodes) 1548059720.121 * * [misc]simplify: iters left: 4 (17 enodes) 1548059720.125 * * [misc]simplify: iters left: 3 (18 enodes) 1548059720.129 * [exit]simplify: Simplified to (fabs (cbrt (log (/ (+ 1 N) N)))) 1548059720.129 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (fabs (cbrt (log (/ (+ 1 N) N)))) (sqrt (cbrt (log (/ (+ N 1) N))))))) 1548059720.129 * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # 1548059720.129 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059720.129 * * [misc]simplify: iters left: 6 (7 enodes) 1548059720.131 * * [misc]simplify: iters left: 5 (13 enodes) 1548059720.134 * * [misc]simplify: iters left: 4 (15 enodes) 1548059720.138 * * [misc]simplify: iters left: 3 (16 enodes) 1548059720.142 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059720.142 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (sqrt (sqrt (log (/ (+ N 1) N))))))) 1548059720.142 * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # 1548059720.142 * [enter]simplify: Simplifying (sqrt 1) 1548059720.142 * * [misc]simplify: iters left: 1 (2 enodes) 1548059720.144 * [exit]simplify: Simplified to 1 1548059720.144 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* 1 (sqrt (log (/ (+ N 1) N)))))) 1548059720.144 * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # 1548059720.144 * * * * [misc]progress: [ 72 / 85 ] simplifiying candidate # 1548059720.144 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059720.144 * * [misc]simplify: iters left: 6 (6 enodes) 1548059720.146 * * [misc]simplify: iters left: 5 (12 enodes) 1548059720.149 * * [misc]simplify: iters left: 4 (14 enodes) 1548059720.153 * * [misc]simplify: iters left: 3 (15 enodes) 1548059720.157 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059720.157 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (fabs (sqrt (log (/ (+ 1 N) N)))))) 1548059720.157 * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # 1548059720.157 * * * * [misc]progress: [ 74 / 85 ] simplifiying candidate # 1548059720.157 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059720.157 * * [misc]simplify: iters left: 6 (8 enodes) 1548059720.160 * * [misc]simplify: iters left: 5 (15 enodes) 1548059720.165 * * [misc]simplify: iters left: 4 (27 enodes) 1548059720.169 * * [misc]simplify: iters left: 3 (52 enodes) 1548059720.177 * * [misc]simplify: iters left: 2 (73 enodes) 1548059720.186 * * [misc]simplify: iters left: 1 (90 enodes) 1548059720.202 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059720.202 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (* (* N -1/2) N) (- (log N) N))))) 1548059720.202 * * * * [misc]progress: [ 75 / 85 ] simplifiying candidate # 1548059720.202 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059720.202 * * [misc]simplify: iters left: 6 (15 enodes) 1548059720.206 * * [misc]simplify: iters left: 5 (31 enodes) 1548059720.213 * * [misc]simplify: iters left: 4 (57 enodes) 1548059720.221 * * [misc]simplify: iters left: 3 (89 enodes) 1548059720.243 * * [misc]simplify: iters left: 2 (137 enodes) 1548059720.267 * * [misc]simplify: iters left: 1 (207 enodes) 1548059720.306 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059720.306 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))) 1548059720.306 * * * * [misc]progress: [ 76 / 85 ] simplifiying candidate # 1548059720.306 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059720.307 * * [misc]simplify: iters left: 6 (15 enodes) 1548059720.310 * * [misc]simplify: iters left: 5 (31 enodes) 1548059720.316 * * [misc]simplify: iters left: 4 (57 enodes) 1548059720.326 * * [misc]simplify: iters left: 3 (89 enodes) 1548059720.338 * * [misc]simplify: iters left: 2 (137 enodes) 1548059720.370 * * [misc]simplify: iters left: 1 (207 enodes) 1548059720.421 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059720.421 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))) 1548059720.421 * * * * [misc]progress: [ 77 / 85 ] simplifiying candidate # 1548059720.422 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059720.422 * * [misc]simplify: iters left: 6 (8 enodes) 1548059720.424 * * [misc]simplify: iters left: 5 (15 enodes) 1548059720.428 * * [misc]simplify: iters left: 4 (27 enodes) 1548059720.440 * * [misc]simplify: iters left: 3 (52 enodes) 1548059720.453 * * [misc]simplify: iters left: 2 (73 enodes) 1548059720.467 * * [misc]simplify: iters left: 1 (90 enodes) 1548059720.480 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059720.480 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (* (* N -1/2) N) (- (log N) N))) (sqrt (log (/ (+ N 1) N))))) 1548059720.480 * * * * [misc]progress: [ 78 / 85 ] simplifiying candidate # 1548059720.481 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059720.481 * * [misc]simplify: iters left: 6 (15 enodes) 1548059720.484 * * [misc]simplify: iters left: 5 (31 enodes) 1548059720.489 * * [misc]simplify: iters left: 4 (57 enodes) 1548059720.498 * * [misc]simplify: iters left: 3 (89 enodes) 1548059720.522 * * [misc]simplify: iters left: 2 (137 enodes) 1548059720.552 * * [misc]simplify: iters left: 1 (207 enodes) 1548059720.583 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059720.583 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (sqrt (log (/ (+ N 1) N))))) 1548059720.583 * * * * [misc]progress: [ 79 / 85 ] simplifiying candidate # 1548059720.583 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059720.584 * * [misc]simplify: iters left: 6 (15 enodes) 1548059720.589 * * [misc]simplify: iters left: 5 (31 enodes) 1548059720.601 * * [misc]simplify: iters left: 4 (57 enodes) 1548059720.617 * * [misc]simplify: iters left: 3 (89 enodes) 1548059720.631 * * [misc]simplify: iters left: 2 (137 enodes) 1548059720.650 * * [misc]simplify: iters left: 1 (207 enodes) 1548059720.707 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059720.707 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (sqrt (log (/ (+ N 1) N))))) 1548059720.707 * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # 1548059720.707 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059720.707 * * [misc]simplify: iters left: 6 (8 enodes) 1548059720.708 * * [misc]simplify: iters left: 5 (15 enodes) 1548059720.710 * * [misc]simplify: iters left: 4 (27 enodes) 1548059720.715 * * [misc]simplify: iters left: 3 (52 enodes) 1548059720.726 * * [misc]simplify: iters left: 2 (73 enodes) 1548059720.737 * * [misc]simplify: iters left: 1 (90 enodes) 1548059720.764 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059720.765 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1548059720.765 * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # 1548059720.765 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059720.765 * * [misc]simplify: iters left: 6 (15 enodes) 1548059720.772 * * [misc]simplify: iters left: 5 (31 enodes) 1548059720.784 * * [misc]simplify: iters left: 4 (57 enodes) 1548059720.801 * * [misc]simplify: iters left: 3 (89 enodes) 1548059720.827 * * [misc]simplify: iters left: 2 (137 enodes) 1548059720.862 * * [misc]simplify: iters left: 1 (207 enodes) 1548059720.894 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059720.894 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1548059720.894 * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # 1548059720.894 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059720.894 * * [misc]simplify: iters left: 6 (15 enodes) 1548059720.900 * * [misc]simplify: iters left: 5 (31 enodes) 1548059720.911 * * [misc]simplify: iters left: 4 (57 enodes) 1548059720.922 * * [misc]simplify: iters left: 3 (89 enodes) 1548059720.939 * * [misc]simplify: iters left: 2 (137 enodes) 1548059720.959 * * [misc]simplify: iters left: 1 (207 enodes) 1548059720.995 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059720.996 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1548059720.996 * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # 1548059720.996 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ N (sqrt (- (log N))))) (sqrt (- (log N)))) (+ (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))) (* 1/4 (/ (pow N 2) (sqrt (- (log N))))))) 1548059720.996 * * [misc]simplify: iters left: 6 (20 enodes) 1548059720.999 * * [misc]simplify: iters left: 5 (41 enodes) 1548059721.006 * * [misc]simplify: iters left: 4 (96 enodes) 1548059721.041 * * [misc]simplify: iters left: 3 (258 enodes) 1548059721.149 * [exit]simplify: Simplified to (- (+ (/ (* 1/2 N) (sqrt (- (log N)))) (sqrt (- (log N)))) (* (+ 1/4 (/ 1/8 (- (log N)))) (/ (* N N) (sqrt (- (log N)))))) 1548059721.149 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (- (+ (/ (* 1/2 N) (sqrt (- (log N)))) (sqrt (- (log N)))) (* (+ 1/4 (/ 1/8 (- (log N)))) (/ (* N N) (sqrt (- (log N)))))))) 1548059721.149 * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # 1548059721.149 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059721.149 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) +nan.0)) 1548059721.149 * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # 1548059721.149 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059721.149 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) +nan.0)) 1548059721.150 * * * [misc]progress: adding candidates to table 1548059721.773 * * [misc]progress: iteration 4 / 4 1548059721.773 * * * [misc]progress: picking best candidate 1548059721.790 * * * * [misc]pick: Picked # 1548059721.790 * * * [misc]progress: localizing error 1548059721.810 * * * [misc]progress: generating rewritten candidates 1548059721.810 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1548059721.812 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1548059721.814 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1548059721.819 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1548059721.823 * * * [misc]progress: generating series expansions 1548059721.823 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) 1548059721.823 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1548059721.823 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548059721.823 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.823 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.823 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.823 * [misc]taylor: Taking taylor expansion of N in N 1548059721.823 * [misc]backup-simplify: Simplify 0 into 0 1548059721.823 * [misc]backup-simplify: Simplify 1 into 1 1548059721.823 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.823 * [misc]backup-simplify: Simplify 1 into 1 1548059721.823 * [misc]taylor: Taking taylor expansion of N in N 1548059721.823 * [misc]backup-simplify: Simplify 0 into 0 1548059721.823 * [misc]backup-simplify: Simplify 1 into 1 1548059721.824 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.824 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.824 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.824 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.824 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.824 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.824 * [misc]taylor: Taking taylor expansion of N in N 1548059721.824 * [misc]backup-simplify: Simplify 0 into 0 1548059721.824 * [misc]backup-simplify: Simplify 1 into 1 1548059721.824 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.824 * [misc]backup-simplify: Simplify 1 into 1 1548059721.824 * [misc]taylor: Taking taylor expansion of N in N 1548059721.824 * [misc]backup-simplify: Simplify 0 into 0 1548059721.824 * [misc]backup-simplify: Simplify 1 into 1 1548059721.824 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.824 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.824 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.824 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059721.825 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.825 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059721.826 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.826 * [misc]backup-simplify: Simplify 1 into 1 1548059721.826 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.826 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059721.829 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.829 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059721.829 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059721.829 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1548059721.829 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548059721.829 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.829 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.829 * [misc]taylor: Taking taylor expansion of N in N 1548059721.829 * [misc]backup-simplify: Simplify 0 into 0 1548059721.829 * [misc]backup-simplify: Simplify 1 into 1 1548059721.829 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.829 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.829 * [misc]taylor: Taking taylor expansion of N in N 1548059721.829 * [misc]backup-simplify: Simplify 0 into 0 1548059721.829 * [misc]backup-simplify: Simplify 1 into 1 1548059721.829 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.829 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.829 * [misc]backup-simplify: Simplify 1 into 1 1548059721.829 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.830 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.830 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.830 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.830 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.830 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.830 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.830 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.830 * [misc]taylor: Taking taylor expansion of N in N 1548059721.830 * [misc]backup-simplify: Simplify 0 into 0 1548059721.830 * [misc]backup-simplify: Simplify 1 into 1 1548059721.830 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.830 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.830 * [misc]taylor: Taking taylor expansion of N in N 1548059721.830 * [misc]backup-simplify: Simplify 0 into 0 1548059721.830 * [misc]backup-simplify: Simplify 1 into 1 1548059721.830 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.830 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.830 * [misc]backup-simplify: Simplify 1 into 1 1548059721.830 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.830 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.831 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.831 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.831 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.831 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.831 * [misc]backup-simplify: Simplify 0 into 0 1548059721.831 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059721.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.833 * [misc]backup-simplify: Simplify 1 into 1 1548059721.833 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.833 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.833 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059721.836 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.836 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059721.836 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059721.840 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059721.840 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059721.840 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059721.840 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548059721.840 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548059721.840 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.840 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.840 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.840 * [misc]backup-simplify: Simplify -1 into -1 1548059721.840 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.840 * [misc]taylor: Taking taylor expansion of N in N 1548059721.840 * [misc]backup-simplify: Simplify 0 into 0 1548059721.840 * [misc]backup-simplify: Simplify 1 into 1 1548059721.840 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.840 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.840 * [misc]backup-simplify: Simplify 1 into 1 1548059721.840 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.840 * [misc]taylor: Taking taylor expansion of N in N 1548059721.840 * [misc]backup-simplify: Simplify 0 into 0 1548059721.841 * [misc]backup-simplify: Simplify 1 into 1 1548059721.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.841 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.841 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.841 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.841 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.841 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.841 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.841 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.841 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.842 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.842 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.842 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.842 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.842 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.842 * [misc]backup-simplify: Simplify -1 into -1 1548059721.842 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.842 * [misc]taylor: Taking taylor expansion of N in N 1548059721.842 * [misc]backup-simplify: Simplify 0 into 0 1548059721.842 * [misc]backup-simplify: Simplify 1 into 1 1548059721.842 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.842 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.842 * [misc]backup-simplify: Simplify 1 into 1 1548059721.842 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.842 * [misc]taylor: Taking taylor expansion of N in N 1548059721.842 * [misc]backup-simplify: Simplify 0 into 0 1548059721.842 * [misc]backup-simplify: Simplify 1 into 1 1548059721.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.842 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.842 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.842 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.842 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.843 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.843 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.843 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.843 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.843 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.843 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.843 * [misc]backup-simplify: Simplify 0 into 0 1548059721.843 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.843 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.844 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059721.844 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059721.845 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059721.845 * [misc]backup-simplify: Simplify -1 into -1 1548059721.845 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.846 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.846 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.846 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059721.846 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059721.848 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.848 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059721.849 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.849 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.849 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.849 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059721.849 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059721.853 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059721.853 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059721.853 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059721.853 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1548059721.853 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1548059721.853 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1548059721.853 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.853 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.853 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.853 * [misc]taylor: Taking taylor expansion of N in N 1548059721.853 * [misc]backup-simplify: Simplify 0 into 0 1548059721.853 * [misc]backup-simplify: Simplify 1 into 1 1548059721.853 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.853 * [misc]backup-simplify: Simplify 1 into 1 1548059721.853 * [misc]taylor: Taking taylor expansion of N in N 1548059721.853 * [misc]backup-simplify: Simplify 0 into 0 1548059721.853 * [misc]backup-simplify: Simplify 1 into 1 1548059721.854 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.854 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.854 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.854 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.854 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.854 * [misc]taylor: Taking taylor expansion of N in N 1548059721.854 * [misc]backup-simplify: Simplify 0 into 0 1548059721.854 * [misc]backup-simplify: Simplify 1 into 1 1548059721.854 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.854 * [misc]backup-simplify: Simplify 1 into 1 1548059721.854 * [misc]taylor: Taking taylor expansion of N in N 1548059721.854 * [misc]backup-simplify: Simplify 0 into 0 1548059721.854 * [misc]backup-simplify: Simplify 1 into 1 1548059721.854 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.854 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.854 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.854 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1548059721.855 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.855 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059721.856 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.856 * [misc]backup-simplify: Simplify 1 into 1 1548059721.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059721.861 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.861 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059721.861 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059721.862 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1548059721.862 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1548059721.862 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.862 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.862 * [misc]taylor: Taking taylor expansion of N in N 1548059721.862 * [misc]backup-simplify: Simplify 0 into 0 1548059721.862 * [misc]backup-simplify: Simplify 1 into 1 1548059721.862 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.862 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.862 * [misc]taylor: Taking taylor expansion of N in N 1548059721.862 * [misc]backup-simplify: Simplify 0 into 0 1548059721.862 * [misc]backup-simplify: Simplify 1 into 1 1548059721.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.862 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.862 * [misc]backup-simplify: Simplify 1 into 1 1548059721.862 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.862 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.863 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.863 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.863 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.863 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.863 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.863 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.863 * [misc]taylor: Taking taylor expansion of N in N 1548059721.863 * [misc]backup-simplify: Simplify 0 into 0 1548059721.863 * [misc]backup-simplify: Simplify 1 into 1 1548059721.863 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.863 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.863 * [misc]taylor: Taking taylor expansion of N in N 1548059721.864 * [misc]backup-simplify: Simplify 0 into 0 1548059721.864 * [misc]backup-simplify: Simplify 1 into 1 1548059721.864 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.864 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.864 * [misc]backup-simplify: Simplify 1 into 1 1548059721.864 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.864 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.864 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.864 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.865 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.865 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.865 * [misc]backup-simplify: Simplify 0 into 0 1548059721.865 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.866 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059721.868 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.868 * [misc]backup-simplify: Simplify 1 into 1 1548059721.869 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.869 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059721.874 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.874 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059721.875 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.875 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.875 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059721.882 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059721.883 * [misc]backup-simplify: Simplify 1/3 into 1/3 1548059721.883 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059721.883 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1548059721.883 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1548059721.883 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.883 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.883 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.884 * [misc]backup-simplify: Simplify -1 into -1 1548059721.884 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.884 * [misc]taylor: Taking taylor expansion of N in N 1548059721.884 * [misc]backup-simplify: Simplify 0 into 0 1548059721.884 * [misc]backup-simplify: Simplify 1 into 1 1548059721.884 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.884 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.884 * [misc]backup-simplify: Simplify 1 into 1 1548059721.884 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.884 * [misc]taylor: Taking taylor expansion of N in N 1548059721.884 * [misc]backup-simplify: Simplify 0 into 0 1548059721.884 * [misc]backup-simplify: Simplify 1 into 1 1548059721.884 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.884 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.884 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.884 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.885 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.885 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.885 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.885 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.885 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.885 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.886 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.886 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.886 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.886 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.886 * [misc]backup-simplify: Simplify -1 into -1 1548059721.886 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.886 * [misc]taylor: Taking taylor expansion of N in N 1548059721.886 * [misc]backup-simplify: Simplify 0 into 0 1548059721.886 * [misc]backup-simplify: Simplify 1 into 1 1548059721.886 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.886 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.886 * [misc]backup-simplify: Simplify 1 into 1 1548059721.886 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.886 * [misc]taylor: Taking taylor expansion of N in N 1548059721.886 * [misc]backup-simplify: Simplify 0 into 0 1548059721.886 * [misc]backup-simplify: Simplify 1 into 1 1548059721.886 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.886 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.886 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.886 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.887 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.887 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.887 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.887 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.887 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.887 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.887 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.888 * [misc]backup-simplify: Simplify 0 into 0 1548059721.888 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.888 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.888 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.889 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059721.889 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059721.891 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059721.891 * [misc]backup-simplify: Simplify -1 into -1 1548059721.892 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.892 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059721.893 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059721.898 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.898 * [misc]backup-simplify: Simplify -1/2 into -1/2 1548059721.898 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.898 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059721.899 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059721.909 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059721.909 * [misc]backup-simplify: Simplify -1/3 into -1/3 1548059721.910 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059721.910 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1548059721.910 * [misc]backup-simplify: Simplify (log (exp (sqrt (log (/ (+ N 1) N))))) into (sqrt (log (/ (+ N 1) N))) 1548059721.910 * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in (N) around 0 1548059721.910 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N 1548059721.910 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.910 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.910 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.910 * [misc]taylor: Taking taylor expansion of N in N 1548059721.910 * [misc]backup-simplify: Simplify 0 into 0 1548059721.910 * [misc]backup-simplify: Simplify 1 into 1 1548059721.910 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.910 * [misc]backup-simplify: Simplify 1 into 1 1548059721.910 * [misc]taylor: Taking taylor expansion of N in N 1548059721.910 * [misc]backup-simplify: Simplify 0 into 0 1548059721.910 * [misc]backup-simplify: Simplify 1 into 1 1548059721.911 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.911 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.911 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059721.912 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.912 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059721.914 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.915 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1548059721.915 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N 1548059721.915 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.915 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.915 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.915 * [misc]taylor: Taking taylor expansion of N in N 1548059721.915 * [misc]backup-simplify: Simplify 0 into 0 1548059721.915 * [misc]backup-simplify: Simplify 1 into 1 1548059721.915 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.915 * [misc]backup-simplify: Simplify 1 into 1 1548059721.915 * [misc]taylor: Taking taylor expansion of N in N 1548059721.915 * [misc]backup-simplify: Simplify 0 into 0 1548059721.915 * [misc]backup-simplify: Simplify 1 into 1 1548059721.915 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.915 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.916 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.916 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.916 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.916 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059721.916 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.916 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059721.918 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.918 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.918 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1548059721.918 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059721.918 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 1548059721.918 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.919 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059721.921 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.921 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1548059721.921 * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1548059721.922 * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (pow N 2)) (+ (* (/ 1/2 (sqrt (- (log N)))) N) (sqrt (- (log N))))) into (- (+ (* 1/2 (/ N (sqrt (- (log N))))) (sqrt (- (log N)))) (+ (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))) (* 1/4 (/ (pow N 2) (sqrt (- (log N))))))) 1548059721.922 * [misc]backup-simplify: Simplify (log (exp (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))))) into (sqrt (log (* N (+ (/ 1 N) 1)))) 1548059721.922 * [misc]approximate: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in (N) around 0 1548059721.922 * [misc]taylor: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in N 1548059721.922 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.922 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.922 * [misc]taylor: Taking taylor expansion of N in N 1548059721.922 * [misc]backup-simplify: Simplify 0 into 0 1548059721.922 * [misc]backup-simplify: Simplify 1 into 1 1548059721.922 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.922 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.922 * [misc]taylor: Taking taylor expansion of N in N 1548059721.922 * [misc]backup-simplify: Simplify 0 into 0 1548059721.922 * [misc]backup-simplify: Simplify 1 into 1 1548059721.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.922 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.922 * [misc]backup-simplify: Simplify 1 into 1 1548059721.922 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.923 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.923 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.923 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.923 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.923 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.923 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.923 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059721.926 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.926 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548059721.926 * [misc]taylor: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in N 1548059721.927 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.927 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.927 * [misc]taylor: Taking taylor expansion of N in N 1548059721.927 * [misc]backup-simplify: Simplify 0 into 0 1548059721.927 * [misc]backup-simplify: Simplify 1 into 1 1548059721.927 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.927 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.927 * [misc]taylor: Taking taylor expansion of N in N 1548059721.927 * [misc]backup-simplify: Simplify 0 into 0 1548059721.927 * [misc]backup-simplify: Simplify 1 into 1 1548059721.927 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.927 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.927 * [misc]backup-simplify: Simplify 1 into 1 1548059721.927 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.927 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.927 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.928 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.928 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.928 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.928 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.929 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059721.931 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.931 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.931 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548059721.932 * [misc]backup-simplify: Simplify 0 into 0 1548059721.932 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.932 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.932 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.932 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059721.935 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.935 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548059721.935 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.936 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.936 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1548059721.940 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1548059721.940 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548059721.940 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.941 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059721.941 * [misc]backup-simplify: Simplify (log (exp (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) 1548059721.941 * [misc]approximate: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1548059721.941 * [misc]taylor: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in N 1548059721.941 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.941 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.941 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.941 * [misc]backup-simplify: Simplify -1 into -1 1548059721.941 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.941 * [misc]taylor: Taking taylor expansion of N in N 1548059721.941 * [misc]backup-simplify: Simplify 0 into 0 1548059721.941 * [misc]backup-simplify: Simplify 1 into 1 1548059721.941 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.941 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.941 * [misc]backup-simplify: Simplify 1 into 1 1548059721.941 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.941 * [misc]taylor: Taking taylor expansion of N in N 1548059721.941 * [misc]backup-simplify: Simplify 0 into 0 1548059721.941 * [misc]backup-simplify: Simplify 1 into 1 1548059721.941 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.941 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.941 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.941 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.941 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.942 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.942 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.942 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.942 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.942 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.942 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.942 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.942 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.943 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059721.943 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059721.944 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059721.944 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.945 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548059721.945 * [misc]taylor: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in N 1548059721.945 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.945 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.945 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.945 * [misc]backup-simplify: Simplify -1 into -1 1548059721.945 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.945 * [misc]taylor: Taking taylor expansion of N in N 1548059721.945 * [misc]backup-simplify: Simplify 0 into 0 1548059721.945 * [misc]backup-simplify: Simplify 1 into 1 1548059721.945 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.945 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.945 * [misc]backup-simplify: Simplify 1 into 1 1548059721.945 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.945 * [misc]taylor: Taking taylor expansion of N in N 1548059721.945 * [misc]backup-simplify: Simplify 0 into 0 1548059721.945 * [misc]backup-simplify: Simplify 1 into 1 1548059721.945 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.945 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.945 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.945 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.945 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.945 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.945 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.946 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.946 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.946 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.946 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.946 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.946 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.946 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.946 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059721.947 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059721.948 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059721.948 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.948 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548059721.948 * [misc]backup-simplify: Simplify 0 into 0 1548059721.948 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.949 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.949 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.949 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059721.949 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059721.951 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.952 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548059721.952 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.952 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.952 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.953 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1548059721.953 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1548059721.957 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1548059721.957 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548059721.957 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.957 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059721.958 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1548059721.958 * [misc]backup-simplify: Simplify (exp (sqrt (log (/ (+ N 1) N)))) into (exp (sqrt (log (/ (+ N 1) N)))) 1548059721.958 * [misc]approximate: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1) N)))) in (N) around 0 1548059721.958 * [misc]taylor: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1) N)))) in N 1548059721.958 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N 1548059721.958 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.958 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.958 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.958 * [misc]taylor: Taking taylor expansion of N in N 1548059721.958 * [misc]backup-simplify: Simplify 0 into 0 1548059721.958 * [misc]backup-simplify: Simplify 1 into 1 1548059721.958 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.958 * [misc]backup-simplify: Simplify 1 into 1 1548059721.958 * [misc]taylor: Taking taylor expansion of N in N 1548059721.958 * [misc]backup-simplify: Simplify 0 into 0 1548059721.958 * [misc]backup-simplify: Simplify 1 into 1 1548059721.958 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.958 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.958 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.959 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059721.959 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.959 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059721.960 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.960 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.960 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1548059721.960 * [misc]backup-simplify: Simplify (exp (sqrt (- (log N)))) into (exp (sqrt (- (log N)))) 1548059721.960 * [misc]taylor: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1) N)))) in N 1548059721.960 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N 1548059721.961 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1548059721.961 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1548059721.961 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1548059721.961 * [misc]taylor: Taking taylor expansion of N in N 1548059721.961 * [misc]backup-simplify: Simplify 0 into 0 1548059721.961 * [misc]backup-simplify: Simplify 1 into 1 1548059721.961 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.961 * [misc]backup-simplify: Simplify 1 into 1 1548059721.961 * [misc]taylor: Taking taylor expansion of N in N 1548059721.961 * [misc]backup-simplify: Simplify 0 into 0 1548059721.961 * [misc]backup-simplify: Simplify 1 into 1 1548059721.961 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.961 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.961 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.961 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.961 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.961 * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1548059721.961 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.962 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1548059721.963 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1548059721.963 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1548059721.963 * [misc]backup-simplify: Simplify (exp (sqrt (- (log N)))) into (exp (sqrt (- (log N)))) 1548059721.963 * [misc]backup-simplify: Simplify (exp (sqrt (- (log N)))) into (exp (sqrt (- (log N)))) 1548059721.964 * [misc]backup-simplify: Simplify (* (exp (sqrt (- (log N)))) (+ (* (/ (pow (/ 1/2 (sqrt (- (log N)))) 1) 1)))) into (* 1/2 (/ (exp (sqrt (- (log N)))) (sqrt (- (log N))))) 1548059721.964 * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (sqrt (- (log N)))) (sqrt (- (log N))))) into (* 1/2 (/ (exp (sqrt (- (log N)))) (sqrt (- (log N))))) 1548059721.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.964 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1548059721.968 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.969 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1548059721.969 * [misc]backup-simplify: Simplify (* (exp (sqrt (- (log N)))) (+ (* (/ (pow (/ 1/2 (sqrt (- (log N)))) 2) 2)) (* (/ (pow (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1) 1)))) into (* (exp (sqrt (- (log N)))) (- (* 1/8 (/ 1 (pow (sqrt (- (log N))) 2))) (+ (* 1/8 (/ 1 (pow (sqrt (- (log N))) 3))) (* 1/4 (/ 1 (sqrt (- (log N)))))))) 1548059721.970 * [misc]backup-simplify: Simplify (* (exp (sqrt (- (log N)))) (- (* 1/8 (/ 1 (pow (sqrt (- (log N))) 2))) (+ (* 1/8 (/ 1 (pow (sqrt (- (log N))) 3))) (* 1/4 (/ 1 (sqrt (- (log N)))))))) into (* (exp (sqrt (- (log N)))) (- (* 1/8 (/ 1 (pow (sqrt (- (log N))) 2))) (+ (* 1/8 (/ 1 (pow (sqrt (- (log N))) 3))) (* 1/4 (/ 1 (sqrt (- (log N)))))))) 1548059721.971 * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt (- (log N)))) (- (* 1/8 (/ 1 (pow (sqrt (- (log N))) 2))) (+ (* 1/8 (/ 1 (pow (sqrt (- (log N))) 3))) (* 1/4 (/ 1 (sqrt (- (log N)))))))) (pow N 2)) (+ (* (* 1/2 (/ (exp (sqrt (- (log N)))) (sqrt (- (log N))))) N) (exp (sqrt (- (log N)))))) into (- (+ (* 1/2 (/ (* (exp (sqrt (- (log N)))) N) (sqrt (- (log N))))) (+ (exp (sqrt (- (log N)))) (* 1/8 (/ (* (exp (sqrt (- (log N)))) (pow N 2)) (pow (sqrt (- (log N))) 2))))) (+ (* 1/4 (/ (* (exp (sqrt (- (log N)))) (pow N 2)) (sqrt (- (log N))))) (* 1/8 (/ (* (exp (sqrt (- (log N)))) (pow N 2)) (pow (sqrt (- (log N))) 3))))) 1548059721.972 * [misc]backup-simplify: Simplify (exp (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N))))) into (exp (sqrt (log (* N (+ (/ 1 N) 1))))) 1548059721.972 * [misc]approximate: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1))))) in (N) around 0 1548059721.972 * [misc]taylor: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1))))) in N 1548059721.972 * [misc]taylor: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in N 1548059721.972 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.972 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.972 * [misc]taylor: Taking taylor expansion of N in N 1548059721.972 * [misc]backup-simplify: Simplify 0 into 0 1548059721.972 * [misc]backup-simplify: Simplify 1 into 1 1548059721.972 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.972 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.972 * [misc]taylor: Taking taylor expansion of N in N 1548059721.972 * [misc]backup-simplify: Simplify 0 into 0 1548059721.972 * [misc]backup-simplify: Simplify 1 into 1 1548059721.972 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.972 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.972 * [misc]backup-simplify: Simplify 1 into 1 1548059721.973 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.973 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.973 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.973 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.973 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.973 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.974 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.974 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059721.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.977 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548059721.977 * [misc]backup-simplify: Simplify (exp 0) into 1 1548059721.977 * [misc]taylor: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1))))) in N 1548059721.977 * [misc]taylor: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1)))) in N 1548059721.977 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1548059721.977 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1548059721.978 * [misc]taylor: Taking taylor expansion of N in N 1548059721.978 * [misc]backup-simplify: Simplify 0 into 0 1548059721.978 * [misc]backup-simplify: Simplify 1 into 1 1548059721.978 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1548059721.978 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.978 * [misc]taylor: Taking taylor expansion of N in N 1548059721.978 * [misc]backup-simplify: Simplify 0 into 0 1548059721.978 * [misc]backup-simplify: Simplify 1 into 1 1548059721.978 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.978 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.978 * [misc]backup-simplify: Simplify 1 into 1 1548059721.978 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.978 * [misc]backup-simplify: Simplify (* 0 1) into 0 1548059721.978 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.979 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1548059721.979 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1548059721.979 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.979 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1548059721.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1548059721.982 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.983 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548059721.983 * [misc]backup-simplify: Simplify (exp 0) into 1 1548059721.983 * [misc]backup-simplify: Simplify 1 into 1 1548059721.984 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow +nan.0 1) 1)))) into +nan.0 1548059721.984 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.985 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.985 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1548059721.989 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059721.990 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548059721.992 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow +nan.0 2) 2)) (* (/ (pow +nan.0 1) 1)))) into +nan.0 1548059721.992 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059721.993 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) 1)) into (- 1 (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1548059721.993 * [misc]backup-simplify: Simplify (exp (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (exp (sqrt (log (* -1 (* N (- 1 (/ 1 N))))))) 1548059721.993 * [misc]approximate: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1 (/ 1 N))))))) in (N) around 0 1548059721.993 * [misc]taylor: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1 (/ 1 N))))))) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of -1 in N 1548059721.993 * [misc]backup-simplify: Simplify -1 into -1 1548059721.993 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of N in N 1548059721.993 * [misc]backup-simplify: Simplify 0 into 0 1548059721.993 * [misc]backup-simplify: Simplify 1 into 1 1548059721.993 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of 1 in N 1548059721.993 * [misc]backup-simplify: Simplify 1 into 1 1548059721.993 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059721.993 * [misc]taylor: Taking taylor expansion of N in N 1548059721.993 * [misc]backup-simplify: Simplify 0 into 0 1548059721.993 * [misc]backup-simplify: Simplify 1 into 1 1548059721.993 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059721.994 * [misc]backup-simplify: Simplify (- 1) into -1 1548059721.994 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059721.994 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059721.994 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059721.994 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059721.994 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.995 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059721.995 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059721.995 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059721.995 * [misc]backup-simplify: Simplify (log 1) into 0 1548059721.996 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059721.996 * [misc]backup-simplify: Simplify (- 0) into 0 1548059721.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059721.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059721.996 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059721.999 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059721.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059721.999 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548059721.999 * [misc]backup-simplify: Simplify (exp 0) into 1 1548059721.999 * [misc]taylor: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1 (/ 1 N))))))) in N 1548059721.999 * [misc]taylor: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1 (/ 1 N)))))) in N 1548059721.999 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1548059721.999 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1548059721.999 * [misc]taylor: Taking taylor expansion of -1 in N 1548059722.000 * [misc]backup-simplify: Simplify -1 into -1 1548059722.000 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1548059722.000 * [misc]taylor: Taking taylor expansion of N in N 1548059722.000 * [misc]backup-simplify: Simplify 0 into 0 1548059722.000 * [misc]backup-simplify: Simplify 1 into 1 1548059722.000 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1548059722.000 * [misc]taylor: Taking taylor expansion of 1 in N 1548059722.000 * [misc]backup-simplify: Simplify 1 into 1 1548059722.000 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1548059722.000 * [misc]taylor: Taking taylor expansion of N in N 1548059722.000 * [misc]backup-simplify: Simplify 0 into 0 1548059722.000 * [misc]backup-simplify: Simplify 1 into 1 1548059722.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548059722.000 * [misc]backup-simplify: Simplify (- 1) into -1 1548059722.000 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1548059722.000 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1548059722.001 * [misc]backup-simplify: Simplify (* -1 0) into 0 1548059722.001 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548059722.001 * [misc]backup-simplify: Simplify (- 0) into 0 1548059722.001 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1548059722.001 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1548059722.002 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1548059722.002 * [misc]backup-simplify: Simplify (log 1) into 0 1548059722.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059722.002 * [misc]backup-simplify: Simplify (- 0) into 0 1548059722.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059722.003 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1548059722.003 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1548059722.005 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1548059722.005 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548059722.006 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548059722.006 * [misc]backup-simplify: Simplify (exp 0) into 1 1548059722.006 * [misc]backup-simplify: Simplify 1 into 1 1548059722.007 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow +nan.0 1) 1)))) into +nan.0 1548059722.007 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059722.008 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548059722.008 * [misc]backup-simplify: Simplify (- 0) into 0 1548059722.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548059722.008 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1548059722.009 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1548059722.013 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1548059722.014 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548059722.016 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow +nan.0 2) 2)) (* (/ (pow +nan.0 1) 1)))) into +nan.0 1548059722.016 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548059722.016 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) 1)) into (- 1 (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1548059722.017 * * * [misc]progress: simplifying candidates 1548059722.017 * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # 1548059722.017 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548059722.017 * * [misc]simplify: iters left: 6 (7 enodes) 1548059722.019 * * [misc]simplify: iters left: 5 (12 enodes) 1548059722.022 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1548059722.022 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))))))) 1548059722.022 * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # 1548059722.022 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1548059722.022 * * [misc]simplify: iters left: 6 (6 enodes) 1548059722.024 * * [misc]simplify: iters left: 5 (9 enodes) 1548059722.026 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1548059722.026 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))))))) 1548059722.026 * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # 1548059722.026 * [enter]simplify: Simplifying (log 1) 1548059722.026 * * [misc]simplify: iters left: 1 (2 enodes) 1548059722.028 * [exit]simplify: Simplified to 0 1548059722.028 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (+ 0 (log (/ (+ N 1) N)))))))) 1548059722.028 * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # 1548059722.028 * [enter]simplify: Simplifying (log (+ N 1)) 1548059722.028 * * [misc]simplify: iters left: 3 (4 enodes) 1548059722.029 * * [misc]simplify: iters left: 2 (7 enodes) 1548059722.031 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059722.031 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (+ (log (+ 1 N)) (log (/ 1 N)))))))) 1548059722.031 * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # 1548059722.031 * [enter]simplify: Simplifying (log (+ N 1)) 1548059722.031 * * [misc]simplify: iters left: 3 (4 enodes) 1548059722.032 * * [misc]simplify: iters left: 2 (7 enodes) 1548059722.034 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059722.034 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (- (log (+ 1 N)) (log N))))))) 1548059722.034 * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # 1548059722.034 * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # 1548059722.034 * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # 1548059722.034 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059722.035 * * [misc]simplify: iters left: 4 (4 enodes) 1548059722.038 * * [misc]simplify: iters left: 3 (7 enodes) 1548059722.039 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059722.039 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (log (/ (+ 1 N) N))))))) 1548059722.039 * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # 1548059722.040 * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # 1548059722.040 * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # 1548059722.040 * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # 1548059722.040 * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # 1548059722.040 * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # 1548059722.040 * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # 1548059722.040 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1548059722.040 * * [misc]simplify: iters left: 6 (7 enodes) 1548059722.042 * * [misc]simplify: iters left: 5 (12 enodes) 1548059722.045 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1548059722.045 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.046 * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # 1548059722.046 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1548059722.046 * * [misc]simplify: iters left: 6 (6 enodes) 1548059722.048 * * [misc]simplify: iters left: 5 (9 enodes) 1548059722.049 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1548059722.049 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.049 * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # 1548059722.049 * [enter]simplify: Simplifying (log 1) 1548059722.049 * * [misc]simplify: iters left: 1 (2 enodes) 1548059722.050 * [exit]simplify: Simplified to 0 1548059722.050 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ 0 (log (/ (+ N 1) N)))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.050 * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # 1548059722.050 * [enter]simplify: Simplifying (log (+ N 1)) 1548059722.050 * * [misc]simplify: iters left: 3 (4 enodes) 1548059722.051 * * [misc]simplify: iters left: 2 (7 enodes) 1548059722.052 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059722.052 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (+ 1 N)) (log (/ 1 N)))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.052 * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # 1548059722.052 * [enter]simplify: Simplifying (log (+ N 1)) 1548059722.052 * * [misc]simplify: iters left: 3 (4 enodes) 1548059722.052 * * [misc]simplify: iters left: 2 (7 enodes) 1548059722.053 * [exit]simplify: Simplified to (log (+ 1 N)) 1548059722.053 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (- (log (+ 1 N)) (log N))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.053 * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # 1548059722.053 * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # 1548059722.053 * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # 1548059722.053 * [enter]simplify: Simplifying (/ (+ N 1) N) 1548059722.054 * * [misc]simplify: iters left: 4 (4 enodes) 1548059722.054 * * [misc]simplify: iters left: 3 (7 enodes) 1548059722.055 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1548059722.055 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.055 * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # 1548059722.055 * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # 1548059722.055 * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # 1548059722.055 * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # 1548059722.055 * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # 1548059722.055 * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # 1548059722.055 * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # 1548059722.055 * [enter]simplify: Simplifying (log (* (cbrt (exp (sqrt (log (/ (+ N 1) N))))) (cbrt (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.055 * * [misc]simplify: iters left: 6 (10 enodes) 1548059722.057 * * [misc]simplify: iters left: 5 (18 enodes) 1548059722.060 * * [misc]simplify: iters left: 4 (20 enodes) 1548059722.062 * * [misc]simplify: iters left: 3 (21 enodes) 1548059722.065 * [exit]simplify: Simplified to (+ (log (cbrt (exp (sqrt (log (/ (+ 1 N) N)))))) (log (cbrt (exp (sqrt (log (/ (+ 1 N) N))))))) 1548059722.066 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (+ (+ (log (cbrt (exp (sqrt (log (/ (+ 1 N) N)))))) (log (cbrt (exp (sqrt (log (/ (+ 1 N) N))))))) (log (cbrt (exp (sqrt (log (/ (+ N 1) N))))))))) 1548059722.066 * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # 1548059722.066 * [enter]simplify: Simplifying (log (sqrt (exp (sqrt (log (/ (+ N 1) N)))))) 1548059722.066 * * [misc]simplify: iters left: 6 (9 enodes) 1548059722.068 * * [misc]simplify: iters left: 5 (15 enodes) 1548059722.071 * * [misc]simplify: iters left: 4 (17 enodes) 1548059722.075 * * [misc]simplify: iters left: 3 (18 enodes) 1548059722.079 * [exit]simplify: Simplified to (log (sqrt (exp (sqrt (log (/ (+ 1 N) N)))))) 1548059722.079 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (+ (log (sqrt (exp (sqrt (log (/ (+ 1 N) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1) N))))))))) 1548059722.079 * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # 1548059722.079 * [enter]simplify: Simplifying (log 1) 1548059722.079 * * [misc]simplify: iters left: 1 (2 enodes) 1548059722.080 * [exit]simplify: Simplified to 0 1548059722.080 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (+ 0 (log (exp (sqrt (log (/ (+ N 1) N)))))))) 1548059722.080 * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # 1548059722.080 * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # 1548059722.081 * [enter]simplify: Simplifying (cbrt (sqrt (log (/ (+ N 1) N)))) 1548059722.081 * * [misc]simplify: iters left: 6 (7 enodes) 1548059722.082 * * [misc]simplify: iters left: 5 (13 enodes) 1548059722.085 * * [misc]simplify: iters left: 4 (15 enodes) 1548059722.088 * * [misc]simplify: iters left: 3 (16 enodes) 1548059722.091 * [exit]simplify: Simplified to (cbrt (sqrt (log (/ (+ 1 N) N)))) 1548059722.092 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (log (exp (* (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N)))))))))) 1548059722.092 * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # 1548059722.092 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059722.092 * * [misc]simplify: iters left: 6 (6 enodes) 1548059722.094 * * [misc]simplify: iters left: 5 (12 enodes) 1548059722.096 * * [misc]simplify: iters left: 4 (14 enodes) 1548059722.099 * * [misc]simplify: iters left: 3 (15 enodes) 1548059722.102 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059722.102 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (log (/ (+ 1 N) N))) (log (exp (sqrt 1)))))) 1548059722.102 * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # 1548059722.102 * [enter]simplify: Simplifying (sqrt (cbrt (log (/ (+ N 1) N)))) 1548059722.102 * * [misc]simplify: iters left: 6 (7 enodes) 1548059722.104 * * [misc]simplify: iters left: 5 (13 enodes) 1548059722.106 * * [misc]simplify: iters left: 4 (15 enodes) 1548059722.109 * * [misc]simplify: iters left: 3 (16 enodes) 1548059722.113 * [exit]simplify: Simplified to (sqrt (cbrt (log (/ (+ 1 N) N)))) 1548059722.113 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (cbrt (log (/ (+ 1 N) N)))) (log (exp (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))))))))) 1548059722.113 * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # 1548059722.113 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059722.113 * * [misc]simplify: iters left: 6 (7 enodes) 1548059722.115 * * [misc]simplify: iters left: 5 (13 enodes) 1548059722.118 * * [misc]simplify: iters left: 4 (15 enodes) 1548059722.121 * * [misc]simplify: iters left: 3 (16 enodes) 1548059722.125 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059722.125 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (log (exp (sqrt (sqrt (log (/ (+ N 1) N))))))))) 1548059722.125 * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # 1548059722.125 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059722.125 * * [misc]simplify: iters left: 6 (6 enodes) 1548059722.127 * * [misc]simplify: iters left: 5 (12 enodes) 1548059722.130 * * [misc]simplify: iters left: 4 (14 enodes) 1548059722.132 * * [misc]simplify: iters left: 3 (15 enodes) 1548059722.135 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059722.135 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (log (/ (+ 1 N) N))) (log (exp (sqrt 1)))))) 1548059722.136 * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # 1548059722.136 * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) 1548059722.136 * * [misc]simplify: iters left: 6 (7 enodes) 1548059722.138 * * [misc]simplify: iters left: 5 (13 enodes) 1548059722.140 * * [misc]simplify: iters left: 4 (15 enodes) 1548059722.143 * * [misc]simplify: iters left: 3 (16 enodes) 1548059722.146 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) 1548059722.147 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (log (exp (sqrt (sqrt (log (/ (+ N 1) N))))))))) 1548059722.147 * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # 1548059722.147 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059722.147 * * [misc]simplify: iters left: 6 (6 enodes) 1548059722.149 * * [misc]simplify: iters left: 5 (12 enodes) 1548059722.151 * * [misc]simplify: iters left: 4 (14 enodes) 1548059722.153 * * [misc]simplify: iters left: 3 (15 enodes) 1548059722.155 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059722.155 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (log (/ (+ 1 N) N))) (log (exp 1))))) 1548059722.155 * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # 1548059722.155 * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # 1548059722.155 * [enter]simplify: Simplifying (log (/ (+ N 1) N)) 1548059722.155 * * [misc]simplify: iters left: 5 (5 enodes) 1548059722.157 * * [misc]simplify: iters left: 4 (11 enodes) 1548059722.158 * * [misc]simplify: iters left: 3 (13 enodes) 1548059722.160 * * [misc]simplify: iters left: 2 (14 enodes) 1548059722.161 * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) 1548059722.161 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ 1 N) N))))) 1548059722.161 * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # 1548059722.161 * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # 1548059722.161 * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # 1548059722.161 * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # 1548059722.161 * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # 1548059722.161 * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # 1548059722.162 * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # 1548059722.162 * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # 1548059722.162 * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N)))))) 1548059722.162 * * [misc]simplify: iters left: 6 (9 enodes) 1548059722.163 * * [misc]simplify: iters left: 5 (17 enodes) 1548059722.165 * * [misc]simplify: iters left: 4 (19 enodes) 1548059722.167 * * [misc]simplify: iters left: 3 (20 enodes) 1548059722.169 * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))))) 1548059722.169 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow (exp (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))))) (cbrt (sqrt (log (/ (+ N 1) N)))))))) 1548059722.169 * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # 1548059722.170 * [enter]simplify: Simplifying (exp (sqrt 1)) 1548059722.170 * * [misc]simplify: iters left: 2 (3 enodes) 1548059722.171 * * [misc]simplify: iters left: 1 (5 enodes) 1548059722.171 * [exit]simplify: Simplified to E 1548059722.171 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow E (sqrt (log (/ (+ N 1) N))))))) 1548059722.171 * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # 1548059722.171 * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))))) 1548059722.172 * * [misc]simplify: iters left: 6 (9 enodes) 1548059722.173 * * [misc]simplify: iters left: 5 (16 enodes) 1548059722.175 * * [misc]simplify: iters left: 4 (18 enodes) 1548059722.177 * * [misc]simplify: iters left: 3 (19 enodes) 1548059722.179 * [exit]simplify: Simplified to (exp (fabs (cbrt (log (/ (+ 1 N) N))))) 1548059722.179 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow (exp (fabs (cbrt (log (/ (+ 1 N) N))))) (sqrt (cbrt (log (/ (+ N 1) N)))))))) 1548059722.179 * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # 1548059722.179 * [enter]simplify: Simplifying (exp (sqrt (sqrt (log (/ (+ N 1) N))))) 1548059722.179 * * [misc]simplify: iters left: 6 (8 enodes) 1548059722.180 * * [misc]simplify: iters left: 5 (14 enodes) 1548059722.184 * * [misc]simplify: iters left: 4 (16 enodes) 1548059722.187 * * [misc]simplify: iters left: 3 (17 enodes) 1548059722.191 * [exit]simplify: Simplified to (exp (sqrt (sqrt (log (/ (+ 1 N) N))))) 1548059722.191 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow (exp (sqrt (sqrt (log (/ (+ 1 N) N))))) (sqrt (sqrt (log (/ (+ N 1) N)))))))) 1548059722.191 * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # 1548059722.192 * [enter]simplify: Simplifying (exp (sqrt 1)) 1548059722.192 * * [misc]simplify: iters left: 2 (3 enodes) 1548059722.193 * * [misc]simplify: iters left: 1 (5 enodes) 1548059722.195 * [exit]simplify: Simplified to E 1548059722.195 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow E (sqrt (log (/ (+ N 1) N))))))) 1548059722.195 * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # 1548059722.195 * [enter]simplify: Simplifying (exp (sqrt (sqrt (log (/ (+ N 1) N))))) 1548059722.195 * * [misc]simplify: iters left: 6 (8 enodes) 1548059722.197 * * [misc]simplify: iters left: 5 (14 enodes) 1548059722.201 * * [misc]simplify: iters left: 4 (16 enodes) 1548059722.204 * * [misc]simplify: iters left: 3 (17 enodes) 1548059722.208 * [exit]simplify: Simplified to (exp (sqrt (sqrt (log (/ (+ 1 N) N))))) 1548059722.208 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow (exp (sqrt (sqrt (log (/ (+ 1 N) N))))) (sqrt (sqrt (log (/ (+ N 1) N)))))))) 1548059722.208 * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # 1548059722.209 * [enter]simplify: Simplifying (exp 1) 1548059722.209 * * [misc]simplify: iters left: 1 (2 enodes) 1548059722.209 * [exit]simplify: Simplified to E 1548059722.210 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (pow E (sqrt (log (/ (+ N 1) N))))))) 1548059722.210 * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # 1548059722.210 * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) 1548059722.210 * * [misc]simplify: iters left: 6 (6 enodes) 1548059722.212 * * [misc]simplify: iters left: 5 (12 enodes) 1548059722.214 * * [misc]simplify: iters left: 4 (14 enodes) 1548059722.218 * * [misc]simplify: iters left: 3 (15 enodes) 1548059722.222 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) 1548059722.223 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (log (/ (+ 1 N) N))))))) 1548059722.223 * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # 1548059722.223 * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # 1548059722.223 * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # 1548059722.223 * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # 1548059722.223 * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # 1548059722.223 * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # 1548059722.223 * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # 1548059722.223 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059722.223 * * [misc]simplify: iters left: 6 (8 enodes) 1548059722.226 * * [misc]simplify: iters left: 5 (15 enodes) 1548059722.230 * * [misc]simplify: iters left: 4 (27 enodes) 1548059722.239 * * [misc]simplify: iters left: 3 (52 enodes) 1548059722.253 * * [misc]simplify: iters left: 2 (73 enodes) 1548059722.271 * * [misc]simplify: iters left: 1 (90 enodes) 1548059722.303 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059722.303 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (- (* (* N -1/2) N) (- (log N) N))))))) 1548059722.303 * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # 1548059722.304 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059722.304 * * [misc]simplify: iters left: 6 (15 enodes) 1548059722.309 * * [misc]simplify: iters left: 5 (31 enodes) 1548059722.319 * * [misc]simplify: iters left: 4 (57 enodes) 1548059722.334 * * [misc]simplify: iters left: 3 (89 enodes) 1548059722.355 * * [misc]simplify: iters left: 2 (137 enodes) 1548059722.383 * * [misc]simplify: iters left: 1 (207 enodes) 1548059722.422 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059722.422 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))))) 1548059722.422 * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # 1548059722.422 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059722.422 * * [misc]simplify: iters left: 6 (15 enodes) 1548059722.425 * * [misc]simplify: iters left: 5 (31 enodes) 1548059722.435 * * [misc]simplify: iters left: 4 (57 enodes) 1548059722.448 * * [misc]simplify: iters left: 3 (89 enodes) 1548059722.461 * * [misc]simplify: iters left: 2 (137 enodes) 1548059722.492 * * [misc]simplify: iters left: 1 (207 enodes) 1548059722.525 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059722.525 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (exp (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))))) 1548059722.525 * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # 1548059722.526 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1548059722.526 * * [misc]simplify: iters left: 6 (8 enodes) 1548059722.528 * * [misc]simplify: iters left: 5 (15 enodes) 1548059722.532 * * [misc]simplify: iters left: 4 (27 enodes) 1548059722.540 * * [misc]simplify: iters left: 3 (52 enodes) 1548059722.547 * * [misc]simplify: iters left: 2 (73 enodes) 1548059722.556 * * [misc]simplify: iters left: 1 (90 enodes) 1548059722.578 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1548059722.578 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (* (* N -1/2) N) (- (log N) N))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.578 * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # 1548059722.578 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059722.578 * * [misc]simplify: iters left: 6 (15 enodes) 1548059722.581 * * [misc]simplify: iters left: 5 (31 enodes) 1548059722.587 * * [misc]simplify: iters left: 4 (57 enodes) 1548059722.595 * * [misc]simplify: iters left: 3 (89 enodes) 1548059722.612 * * [misc]simplify: iters left: 2 (137 enodes) 1548059722.633 * * [misc]simplify: iters left: 1 (207 enodes) 1548059722.670 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059722.670 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.670 * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # 1548059722.670 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1548059722.670 * * [misc]simplify: iters left: 6 (15 enodes) 1548059722.673 * * [misc]simplify: iters left: 5 (31 enodes) 1548059722.679 * * [misc]simplify: iters left: 4 (57 enodes) 1548059722.687 * * [misc]simplify: iters left: 3 (89 enodes) 1548059722.703 * * [misc]simplify: iters left: 2 (137 enodes) 1548059722.738 * * [misc]simplify: iters left: 1 (207 enodes) 1548059722.785 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1548059722.785 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (log (exp (sqrt (log (/ (+ N 1) N))))))) 1548059722.785 * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # 1548059722.785 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ N (sqrt (- (log N))))) (sqrt (- (log N)))) (+ (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))) (* 1/4 (/ (pow N 2) (sqrt (- (log N))))))) 1548059722.785 * * [misc]simplify: iters left: 6 (20 enodes) 1548059722.788 * * [misc]simplify: iters left: 5 (41 enodes) 1548059722.794 * * [misc]simplify: iters left: 4 (96 enodes) 1548059722.823 * * [misc]simplify: iters left: 3 (258 enodes) 1548059722.954 * [exit]simplify: Simplified to (- (+ (/ (* 1/2 N) (sqrt (- (log N)))) (sqrt (- (log N)))) (* (+ 1/4 (/ 1/8 (- (log N)))) (/ (* N N) (sqrt (- (log N)))))) 1548059722.954 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (- (+ (/ (* 1/2 N) (sqrt (- (log N)))) (sqrt (- (log N)))) (* (+ 1/4 (/ 1/8 (- (log N)))) (/ (* N N) (sqrt (- (log N)))))))) 1548059722.954 * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # 1548059722.954 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059722.954 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) +nan.0)) 1548059722.954 * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # 1548059722.954 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1548059722.954 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) +nan.0)) 1548059722.954 * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # 1548059722.954 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (* (exp (sqrt (- (log N)))) N) (sqrt (- (log N))))) (+ (exp (sqrt (- (log N)))) (* 1/8 (/ (* (exp (sqrt (- (log N)))) (pow N 2)) (pow (sqrt (- (log N))) 2))))) (+ (* 1/4 (/ (* (exp (sqrt (- (log N)))) (pow N 2)) (sqrt (- (log N))))) (* 1/8 (/ (* (exp (sqrt (- (log N)))) (pow N 2)) (pow (sqrt (- (log N))) 3))))) 1548059722.957 * * [misc]simplify: iters left: 6 (27 enodes) 1548059722.962 * * [misc]simplify: iters left: 5 (63 enodes) 1548059722.974 * * [misc]simplify: iters left: 4 (181 enodes) 1548059723.057 * [exit]simplify: Simplified to (+ (+ (* (/ (exp (sqrt (- (log N)))) (/ (- (log N)) (* N N))) 1/8) (* (/ 1/2 (sqrt (- (log N)))) (* (exp (sqrt (- (log N)))) N))) (- (exp (sqrt (- (log N)))) (* (/ (exp (sqrt (- (log N)))) (/ (sqrt (- (log N))) (* N N))) (+ (/ 1/8 (- (log N))) 1/4)))) 1548059723.058 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log (+ (+ (* (/ (exp (sqrt (- (log N)))) (/ (- (log N)) (* N N))) 1/8) (* (/ 1/2 (sqrt (- (log N)))) (* (exp (sqrt (- (log N)))) N))) (- (exp (sqrt (- (log N)))) (* (/ (exp (sqrt (- (log N)))) (/ (sqrt (- (log N))) (* N N))) (+ (/ 1/8 (- (log N))) 1/4))))))) 1548059723.058 * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # 1548059723.058 * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1548059723.058 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log +nan.0))) 1548059723.058 * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # 1548059723.058 * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1548059723.058 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (log +nan.0))) 1548059723.058 * * * [misc]progress: adding candidates to table 1548059723.804 * [misc]progress: [Phase 3 of 3] Extracting. 1548059723.804 * * [misc]regime: Finding splitpoints for: (# # # # #) 1548059723.806 * * * [misc]regime-changes: Trying 2 branch expressions: (N (- (log (+ N 1)) (log N))) 1548059723.806 * * * * [misc]regimes: Trying to branch on N from (# # # # #) 1548059723.863 * * * * [misc]regimes: Trying to branch on (- (log (+ N 1)) (log N)) from (# # # # #) 1548059723.934 * * * [misc]regime: Found split indices: #