1536824153.702 * [misc]progress: [Phase 1 of 3] Setting up. 1536824153.702 * * * [misc]progress: [1/2] Preparing points 1536824153.702 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1536824153.734 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.734 * * * * [misc]points: Sampling 134 additional inputs, on iter 1 have 122 / 256 1536824153.756 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.756 * * * * [misc]points: Sampling 63 additional inputs, on iter 2 have 193 / 256 1536824153.765 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.765 * * * * [misc]points: Sampling 32 additional inputs, on iter 3 have 224 / 256 1536824153.769 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.769 * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 1536824153.772 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.772 * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 1536824153.774 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.774 * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 251 / 256 1536824153.775 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.775 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 1536824153.776 * * * * [misc]points: Filtering points with unrepresentable outputs 1536824153.776 * * * * [exit]points: Sampled 256 points with exact outputs 1536824153.777 * * * [misc]progress: [2/2] Setting up program. 1536824153.780 * [misc]progress: [Phase 2 of 3] Improving. 1536824153.780 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1536824153.781 * * [misc]simplify: iters left: 5 (6 enodes) 1536824153.782 * * [misc]simplify: iters left: 4 (11 enodes) 1536824153.784 * * [misc]simplify: iters left: 3 (12 enodes) 1536824153.786 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) 1536824153.793 * * [misc]progress: iteration 1 / 4 1536824153.793 * * * [misc]progress: picking best candidate 1536824153.797 * * * * [misc]pick: Picked # 1536824153.797 * * * [misc]progress: localizing error 1536824153.812 * * * [misc]progress: generating rewritten candidates 1536824153.812 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) 1536824153.819 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) 1536824153.889 * * * [misc]progress: generating series expansions 1536824153.889 * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) 1536824153.890 * [misc]backup-simplify: Simplify (log (+ 1 N)) into (log (+ N 1)) 1536824153.890 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1536824153.890 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536824153.890 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824153.890 * [misc]taylor: Taking taylor expansion of N in N 1536824153.890 * [misc]backup-simplify: Simplify 0 into 0 1536824153.890 * [misc]backup-simplify: Simplify 1 into 1 1536824153.890 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.890 * [misc]backup-simplify: Simplify 1 into 1 1536824153.890 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824153.891 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.891 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536824153.891 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824153.891 * [misc]taylor: Taking taylor expansion of N in N 1536824153.891 * [misc]backup-simplify: Simplify 0 into 0 1536824153.891 * [misc]backup-simplify: Simplify 1 into 1 1536824153.891 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.891 * [misc]backup-simplify: Simplify 1 into 1 1536824153.891 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824153.891 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.891 * [misc]backup-simplify: Simplify 0 into 0 1536824153.891 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824153.894 * [misc]backup-simplify: Simplify 1 into 1 1536824153.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.899 * [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 1536824153.899 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824153.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.906 * [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 1536824153.906 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536824153.907 * [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))) 1536824153.907 * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (log (+ (/ 1 N) 1)) 1536824153.907 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1536824153.907 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536824153.907 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824153.907 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.907 * [misc]taylor: Taking taylor expansion of N in N 1536824153.907 * [misc]backup-simplify: Simplify 0 into 0 1536824153.907 * [misc]backup-simplify: Simplify 1 into 1 1536824153.907 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.907 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.907 * [misc]backup-simplify: Simplify 1 into 1 1536824153.907 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.908 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.908 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536824153.908 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824153.908 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.908 * [misc]taylor: Taking taylor expansion of N in N 1536824153.908 * [misc]backup-simplify: Simplify 0 into 0 1536824153.908 * [misc]backup-simplify: Simplify 1 into 1 1536824153.908 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.908 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.908 * [misc]backup-simplify: Simplify 1 into 1 1536824153.908 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.908 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536824153.909 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536824153.909 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824153.909 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824153.911 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824153.912 * [misc]backup-simplify: Simplify 1 into 1 1536824153.912 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.916 * [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 1536824153.916 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824153.917 * [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)))) 1536824153.917 * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 (- N)))) into (log (- 1 (/ 1 N))) 1536824153.917 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1536824153.917 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536824153.917 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824153.917 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.917 * [misc]backup-simplify: Simplify 1 into 1 1536824153.917 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.917 * [misc]taylor: Taking taylor expansion of N in N 1536824153.917 * [misc]backup-simplify: Simplify 0 into 0 1536824153.917 * [misc]backup-simplify: Simplify 1 into 1 1536824153.917 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.918 * [misc]backup-simplify: Simplify (- 1) into -1 1536824153.918 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824153.918 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536824153.918 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536824153.918 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824153.918 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.918 * [misc]backup-simplify: Simplify 1 into 1 1536824153.918 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.918 * [misc]taylor: Taking taylor expansion of N in N 1536824153.918 * [misc]backup-simplify: Simplify 0 into 0 1536824153.918 * [misc]backup-simplify: Simplify 1 into 1 1536824153.918 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.918 * [misc]backup-simplify: Simplify (- 1) into -1 1536824153.919 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824153.919 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536824153.919 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1536824153.919 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1536824153.920 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824153.920 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.920 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1536824153.922 * [misc]backup-simplify: Simplify -1 into -1 1536824153.923 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.923 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.927 * [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 1536824153.927 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824153.928 * [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)))) 1536824153.928 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) 1536824153.928 * [misc]backup-simplify: Simplify (- (log (+ 1 N)) (log N)) into (- (log (+ N 1)) (log N)) 1536824153.928 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1536824153.928 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1536824153.928 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536824153.928 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824153.928 * [misc]taylor: Taking taylor expansion of N in N 1536824153.928 * [misc]backup-simplify: Simplify 0 into 0 1536824153.928 * [misc]backup-simplify: Simplify 1 into 1 1536824153.928 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.928 * [misc]backup-simplify: Simplify 1 into 1 1536824153.929 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824153.929 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.929 * [misc]taylor: Taking taylor expansion of (log N) in N 1536824153.929 * [misc]taylor: Taking taylor expansion of N in N 1536824153.929 * [misc]backup-simplify: Simplify 0 into 0 1536824153.929 * [misc]backup-simplify: Simplify 1 into 1 1536824153.929 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.929 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1536824153.929 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536824153.929 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824153.929 * [misc]taylor: Taking taylor expansion of N in N 1536824153.929 * [misc]backup-simplify: Simplify 0 into 0 1536824153.929 * [misc]backup-simplify: Simplify 1 into 1 1536824153.929 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.929 * [misc]backup-simplify: Simplify 1 into 1 1536824153.929 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824153.930 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.930 * [misc]taylor: Taking taylor expansion of (log N) in N 1536824153.930 * [misc]taylor: Taking taylor expansion of N in N 1536824153.930 * [misc]backup-simplify: Simplify 0 into 0 1536824153.930 * [misc]backup-simplify: Simplify 1 into 1 1536824153.930 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.930 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1536824153.930 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536824153.930 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1536824153.930 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536824153.930 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.933 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824153.936 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1536824153.936 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.936 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.936 * [misc]backup-simplify: Simplify 1 into 1 1536824153.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.941 * [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 1536824153.945 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1536824153.945 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.945 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1536824153.945 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824153.946 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1536824153.946 * [misc]backup-simplify: Simplify (- (log (+ 1 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1536824153.946 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1536824153.946 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1536824153.946 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536824153.946 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824153.946 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.946 * [misc]taylor: Taking taylor expansion of N in N 1536824153.946 * [misc]backup-simplify: Simplify 0 into 0 1536824153.946 * [misc]backup-simplify: Simplify 1 into 1 1536824153.946 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.946 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.946 * [misc]backup-simplify: Simplify 1 into 1 1536824153.946 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.946 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.946 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1536824153.947 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.947 * [misc]taylor: Taking taylor expansion of N in N 1536824153.947 * [misc]backup-simplify: Simplify 0 into 0 1536824153.947 * [misc]backup-simplify: Simplify 1 into 1 1536824153.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.947 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.947 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1536824153.947 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536824153.947 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824153.947 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.947 * [misc]taylor: Taking taylor expansion of N in N 1536824153.947 * [misc]backup-simplify: Simplify 0 into 0 1536824153.947 * [misc]backup-simplify: Simplify 1 into 1 1536824153.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.947 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.947 * [misc]backup-simplify: Simplify 1 into 1 1536824153.948 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.948 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.948 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1536824153.948 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.948 * [misc]taylor: Taking taylor expansion of N in N 1536824153.948 * [misc]backup-simplify: Simplify 0 into 0 1536824153.948 * [misc]backup-simplify: Simplify 1 into 1 1536824153.948 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.948 * [misc]backup-simplify: Simplify (log 1) into 0 1536824153.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536824153.949 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536824153.949 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1536824153.949 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1536824153.949 * [misc]backup-simplify: Simplify 0 into 0 1536824153.949 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824153.949 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824153.952 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824153.952 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824153.954 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1536824153.954 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.955 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.955 * [misc]backup-simplify: Simplify 1 into 1 1536824153.955 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.959 * [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 1536824153.960 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.964 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1536824153.964 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.964 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1536824153.964 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824153.964 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.968 * [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 1536824153.969 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.973 * [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 1536824153.973 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.973 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1536824153.973 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536824153.973 * [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)))) 1536824153.973 * [misc]backup-simplify: Simplify (- (log (+ 1 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1536824153.973 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1536824153.973 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1536824153.973 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536824153.973 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.974 * [misc]backup-simplify: Simplify 1 into 1 1536824153.974 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of N in N 1536824153.974 * [misc]backup-simplify: Simplify 0 into 0 1536824153.974 * [misc]backup-simplify: Simplify 1 into 1 1536824153.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.974 * [misc]backup-simplify: Simplify (- 1) into -1 1536824153.974 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824153.974 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536824153.974 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of -1 in N 1536824153.974 * [misc]backup-simplify: Simplify -1 into -1 1536824153.974 * [misc]taylor: Taking taylor expansion of N in N 1536824153.974 * [misc]backup-simplify: Simplify 0 into 0 1536824153.974 * [misc]backup-simplify: Simplify 1 into 1 1536824153.974 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536824153.974 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536824153.974 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of 1 in N 1536824153.974 * [misc]backup-simplify: Simplify 1 into 1 1536824153.974 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824153.974 * [misc]taylor: Taking taylor expansion of N in N 1536824153.974 * [misc]backup-simplify: Simplify 0 into 0 1536824153.974 * [misc]backup-simplify: Simplify 1 into 1 1536824153.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824153.975 * [misc]backup-simplify: Simplify (- 1) into -1 1536824153.975 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824153.975 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536824153.975 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1536824153.975 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1536824153.975 * [misc]taylor: Taking taylor expansion of -1 in N 1536824153.975 * [misc]backup-simplify: Simplify -1 into -1 1536824153.975 * [misc]taylor: Taking taylor expansion of N in N 1536824153.975 * [misc]backup-simplify: Simplify 0 into 0 1536824153.975 * [misc]backup-simplify: Simplify 1 into 1 1536824153.975 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536824153.975 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536824153.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1536824153.976 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1536824153.976 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1536824153.976 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1536824153.976 * [misc]backup-simplify: Simplify 0 into 0 1536824153.976 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824153.976 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.976 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824153.978 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1536824153.978 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536824153.979 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1536824153.980 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.980 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1536824153.980 * [misc]backup-simplify: Simplify -1 into -1 1536824153.980 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.980 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.980 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.982 * [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 1536824153.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.985 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1536824153.985 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.985 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1536824153.985 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824153.986 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.986 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824153.990 * [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 1536824153.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824153.997 * [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 1536824153.997 * [misc]backup-simplify: Simplify (- 0) into 0 1536824153.997 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1536824153.997 * [misc]backup-simplify: Simplify -1/3 into -1/3 1536824153.998 * [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)))) 1536824153.998 * * * [misc]progress: simplifying candidates 1536824153.998 * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # 1536824153.998 * [enter]simplify: Simplifying (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1536824153.998 * * [misc]simplify: iters left: 6 (6 enodes) 1536824154.000 * * [misc]simplify: iters left: 5 (11 enodes) 1536824154.002 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1536824154.002 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ 1 N)))) (log N))) 1536824154.002 * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # 1536824154.002 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824154.002 * * [misc]simplify: iters left: 4 (5 enodes) 1536824154.003 * * [misc]simplify: iters left: 3 (8 enodes) 1536824154.004 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824154.004 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ N 1))) (log (sqrt (+ 1 N)))) (log N))) 1536824154.004 * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # 1536824154.004 * [enter]simplify: Simplifying (log 1) 1536824154.004 * * [misc]simplify: iters left: 1 (2 enodes) 1536824154.005 * [exit]simplify: Simplified to 0 1536824154.005 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ 1 N))) (log N))) 1536824154.005 * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # 1536824154.006 * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) 1536824154.006 * * [misc]simplify: iters left: 4 (7 enodes) 1536824154.008 * * [misc]simplify: iters left: 3 (15 enodes) 1536824154.010 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1536824154.010 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (pow N 3))) (log (+ (* 1 1) (- (* N N) (* 1 N))))) (log N))) 1536824154.010 * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # 1536824154.011 * [enter]simplify: Simplifying (log (- (* 1 1) (* N N))) 1536824154.011 * * [misc]simplify: iters left: 5 (6 enodes) 1536824154.012 * * [misc]simplify: iters left: 4 (10 enodes) 1536824154.014 * * [misc]simplify: iters left: 3 (14 enodes) 1536824154.016 * [exit]simplify: Simplified to (log (- 1 (* N N))) 1536824154.016 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- 1 (* N N))) (log (- 1 N))) (log N))) 1536824154.016 * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # 1536824154.016 * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # 1536824154.016 * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # 1536824154.016 * [enter]simplify: Simplifying (+ 1 N) 1536824154.016 * * [misc]simplify: iters left: 2 (3 enodes) 1536824154.017 * * [misc]simplify: iters left: 1 (6 enodes) 1536824154.018 * [exit]simplify: Simplified to (+ N 1) 1536824154.018 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ N 1)) (log N))) 1536824154.018 * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # 1536824154.018 * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # 1536824154.018 * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # 1536824154.018 * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # 1536824154.018 * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # 1536824154.018 * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # 1536824154.018 * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # 1536824154.018 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1536824154.018 * * [misc]simplify: iters left: 4 (4 enodes) 1536824154.019 * * [misc]simplify: iters left: 3 (7 enodes) 1536824154.020 * [exit]simplify: Simplified to (/ (+ N 1) N) 1536824154.020 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1536824154.020 * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # 1536824154.020 * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # 1536824154.020 * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # 1536824154.020 * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # 1536824154.020 * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # 1536824154.020 * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # 1536824154.020 * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # 1536824154.021 * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # 1536824154.021 * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # 1536824154.021 * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # 1536824154.021 * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # 1536824154.021 * [enter]simplify: Simplifying (+ (sqrt (log (+ 1 N))) (sqrt (log N))) 1536824154.021 * * [misc]simplify: iters left: 6 (8 enodes) 1536824154.023 * * [misc]simplify: iters left: 5 (12 enodes) 1536824154.025 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) 1536824154.025 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ N 1)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 1536824154.025 * [enter]simplify: Simplifying (- (sqrt (log (+ 1 N))) (sqrt (log N))) 1536824154.025 * * [misc]simplify: iters left: 6 (8 enodes) 1536824154.027 * * [misc]simplify: iters left: 5 (13 enodes) 1536824154.029 * * [misc]simplify: iters left: 4 (14 enodes) 1536824154.031 * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) 1536824154.031 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1536824154.031 * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # 1536824154.031 * [enter]simplify: Simplifying (- (log (+ 1 N)) (log N)) 1536824154.032 * * [misc]simplify: iters left: 5 (6 enodes) 1536824154.033 * * [misc]simplify: iters left: 4 (11 enodes) 1536824154.034 * * [misc]simplify: iters left: 3 (12 enodes) 1536824154.036 * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) 1536824154.036 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ N 1)) (log N)))) 1536824154.036 * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # 1536824154.037 * [enter]simplify: Simplifying (- (log (+ 1 N)) (log N)) 1536824154.037 * * [misc]simplify: iters left: 5 (6 enodes) 1536824154.038 * * [misc]simplify: iters left: 4 (11 enodes) 1536824154.040 * * [misc]simplify: iters left: 3 (12 enodes) 1536824154.042 * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) 1536824154.042 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ N 1)) (log N)))) 1536824154.042 * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # 1536824154.042 * [enter]simplify: Simplifying (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1536824154.042 * * [misc]simplify: iters left: 6 (6 enodes) 1536824154.044 * * [misc]simplify: iters left: 5 (11 enodes) 1536824154.046 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1536824154.046 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ 1 N))) (log N)))) 1536824154.046 * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # 1536824154.046 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824154.046 * * [misc]simplify: iters left: 4 (5 enodes) 1536824154.047 * * [misc]simplify: iters left: 3 (8 enodes) 1536824154.048 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824154.048 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ 1 N))) (log N)))) 1536824154.048 * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # 1536824154.048 * [enter]simplify: Simplifying (log 1) 1536824154.049 * * [misc]simplify: iters left: 1 (2 enodes) 1536824154.050 * [exit]simplify: Simplified to 0 1536824154.050 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ 1 N)) (log N)))) 1536824154.050 * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # 1536824154.050 * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) 1536824154.050 * * [misc]simplify: iters left: 4 (7 enodes) 1536824154.052 * * [misc]simplify: iters left: 3 (15 enodes) 1536824154.054 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1536824154.054 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 (pow N 3))) (+ (log (+ (* 1 1) (- (* N N) (* 1 N)))) (log N)))) 1536824154.054 * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # 1536824154.055 * [enter]simplify: Simplifying (log (- (* 1 1) (* N N))) 1536824154.055 * * [misc]simplify: iters left: 5 (6 enodes) 1536824154.056 * * [misc]simplify: iters left: 4 (10 enodes) 1536824154.058 * * [misc]simplify: iters left: 3 (14 enodes) 1536824154.061 * [exit]simplify: Simplified to (log (- 1 (* N N))) 1536824154.061 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- 1 (* N N))) (+ (log (- 1 N)) (log N)))) 1536824154.061 * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # 1536824154.061 * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # 1536824154.061 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1536824154.062 * * [misc]simplify: iters left: 6 (11 enodes) 1536824154.069 * * [misc]simplify: iters left: 5 (21 enodes) 1536824154.081 * * [misc]simplify: iters left: 4 (51 enodes) 1536824154.103 * * [misc]simplify: iters left: 3 (83 enodes) 1536824154.131 * * [misc]simplify: iters left: 2 (112 enodes) 1536824154.162 * * [misc]simplify: iters left: 1 (143 enodes) 1536824154.234 * [exit]simplify: Simplified to (+ (* (- (* N 1/3) 1/2) (* N N)) N) 1536824154.234 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (* (- (* N 1/3) 1/2) (* N N)) N) (log N))) 1536824154.234 * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # 1536824154.234 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1536824154.235 * * [misc]simplify: iters left: 6 (11 enodes) 1536824154.243 * * [misc]simplify: iters left: 5 (26 enodes) 1536824154.253 * * [misc]simplify: iters left: 4 (38 enodes) 1536824154.273 * * [misc]simplify: iters left: 3 (75 enodes) 1536824154.310 * * [misc]simplify: iters left: 2 (133 enodes) 1536824154.336 * * [misc]simplify: iters left: 1 (187 enodes) 1536824154.455 * [exit]simplify: Simplified to (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) 1536824154.455 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) (log N))) 1536824154.455 * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # 1536824154.456 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1536824154.457 * * [misc]simplify: iters left: 6 (15 enodes) 1536824154.465 * * [misc]simplify: iters left: 5 (31 enodes) 1536824154.481 * * [misc]simplify: iters left: 4 (64 enodes) 1536824154.505 * * [misc]simplify: iters left: 3 (156 enodes) 1536824154.596 * * [misc]simplify: iters left: 2 (389 enodes) 1536824154.928 * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) 1536824154.928 * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (log N))) 1536824154.928 * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # 1536824154.928 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1536824154.929 * * [misc]simplify: iters left: 6 (8 enodes) 1536824154.933 * * [misc]simplify: iters left: 5 (15 enodes) 1536824154.939 * * [misc]simplify: iters left: 4 (27 enodes) 1536824154.952 * * [misc]simplify: iters left: 3 (52 enodes) 1536824154.971 * * [misc]simplify: iters left: 2 (73 enodes) 1536824154.993 * * [misc]simplify: iters left: 1 (90 enodes) 1536824155.031 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1536824155.031 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1536824155.031 * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # 1536824155.031 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536824155.032 * * [misc]simplify: iters left: 6 (15 enodes) 1536824155.037 * * [misc]simplify: iters left: 5 (31 enodes) 1536824155.046 * * [misc]simplify: iters left: 4 (57 enodes) 1536824155.068 * * [misc]simplify: iters left: 3 (89 enodes) 1536824155.100 * * [misc]simplify: iters left: 2 (137 enodes) 1536824155.132 * * [misc]simplify: iters left: 1 (207 enodes) 1536824155.221 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1536824155.221 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1536824155.222 * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # 1536824155.222 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536824155.223 * * [misc]simplify: iters left: 6 (15 enodes) 1536824155.232 * * [misc]simplify: iters left: 5 (31 enodes) 1536824155.252 * * [misc]simplify: iters left: 4 (57 enodes) 1536824155.276 * * [misc]simplify: iters left: 3 (89 enodes) 1536824155.311 * * [misc]simplify: iters left: 2 (137 enodes) 1536824155.359 * * [misc]simplify: iters left: 1 (207 enodes) 1536824155.440 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1536824155.440 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1536824155.441 * * * [misc]progress: adding candidates to table 1536824156.015 * * [misc]progress: iteration 2 / 4 1536824156.015 * * * [misc]progress: picking best candidate 1536824156.038 * * * * [misc]pick: Picked # 1536824156.038 * * * [misc]progress: localizing error 1536824156.052 * * * [misc]progress: generating rewritten candidates 1536824156.052 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1536824156.061 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1536824156.078 * * * [misc]progress: generating series expansions 1536824156.078 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1536824156.079 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1536824156.079 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1536824156.079 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536824156.079 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824156.079 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824156.079 * [misc]taylor: Taking taylor expansion of N in N 1536824156.079 * [misc]backup-simplify: Simplify 0 into 0 1536824156.079 * [misc]backup-simplify: Simplify 1 into 1 1536824156.079 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.079 * [misc]backup-simplify: Simplify 1 into 1 1536824156.079 * [misc]taylor: Taking taylor expansion of N in N 1536824156.079 * [misc]backup-simplify: Simplify 0 into 0 1536824156.079 * [misc]backup-simplify: Simplify 1 into 1 1536824156.079 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.079 * [misc]backup-simplify: Simplify (log 1) into 0 1536824156.079 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536824156.079 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824156.079 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824156.079 * [misc]taylor: Taking taylor expansion of N in N 1536824156.079 * [misc]backup-simplify: Simplify 0 into 0 1536824156.079 * [misc]backup-simplify: Simplify 1 into 1 1536824156.079 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.079 * [misc]backup-simplify: Simplify 1 into 1 1536824156.079 * [misc]taylor: Taking taylor expansion of N in N 1536824156.079 * [misc]backup-simplify: Simplify 0 into 0 1536824156.079 * [misc]backup-simplify: Simplify 1 into 1 1536824156.080 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.080 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.080 * [misc]backup-simplify: Simplify (log 1) into 0 1536824156.080 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536824156.080 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536824156.080 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.080 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824156.082 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824156.082 * [misc]backup-simplify: Simplify 1 into 1 1536824156.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824156.085 * [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 1536824156.085 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824156.085 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1536824156.085 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1536824156.085 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1536824156.085 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536824156.085 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824156.085 * [misc]taylor: Taking taylor expansion of N in N 1536824156.085 * [misc]backup-simplify: Simplify 0 into 0 1536824156.085 * [misc]backup-simplify: Simplify 1 into 1 1536824156.085 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824156.085 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.085 * [misc]taylor: Taking taylor expansion of N in N 1536824156.085 * [misc]backup-simplify: Simplify 0 into 0 1536824156.085 * [misc]backup-simplify: Simplify 1 into 1 1536824156.085 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.085 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.085 * [misc]backup-simplify: Simplify 1 into 1 1536824156.085 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.085 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824156.086 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824156.086 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.086 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824156.086 * [misc]backup-simplify: Simplify (log 1) into 0 1536824156.086 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536824156.086 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824156.086 * [misc]taylor: Taking taylor expansion of N in N 1536824156.086 * [misc]backup-simplify: Simplify 0 into 0 1536824156.086 * [misc]backup-simplify: Simplify 1 into 1 1536824156.086 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824156.086 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.086 * [misc]taylor: Taking taylor expansion of N in N 1536824156.086 * [misc]backup-simplify: Simplify 0 into 0 1536824156.086 * [misc]backup-simplify: Simplify 1 into 1 1536824156.086 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.086 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.086 * [misc]backup-simplify: Simplify 1 into 1 1536824156.086 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.087 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824156.087 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824156.087 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.087 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824156.087 * [misc]backup-simplify: Simplify (log 1) into 0 1536824156.087 * [misc]backup-simplify: Simplify 0 into 0 1536824156.087 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.088 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824156.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824156.089 * [misc]backup-simplify: Simplify 1 into 1 1536824156.089 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.090 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824156.092 * [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 1536824156.092 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824156.093 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824156.097 * [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 1536824156.097 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536824156.098 * [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)))) 1536824156.098 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1536824156.098 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536824156.098 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536824156.098 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824156.098 * [misc]taylor: Taking taylor expansion of -1 in N 1536824156.098 * [misc]backup-simplify: Simplify -1 into -1 1536824156.098 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824156.098 * [misc]taylor: Taking taylor expansion of N in N 1536824156.098 * [misc]backup-simplify: Simplify 0 into 0 1536824156.098 * [misc]backup-simplify: Simplify 1 into 1 1536824156.098 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824156.098 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.098 * [misc]backup-simplify: Simplify 1 into 1 1536824156.098 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.098 * [misc]taylor: Taking taylor expansion of N in N 1536824156.098 * [misc]backup-simplify: Simplify 0 into 0 1536824156.098 * [misc]backup-simplify: Simplify 1 into 1 1536824156.098 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.098 * [misc]backup-simplify: Simplify (- 1) into -1 1536824156.098 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824156.098 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824156.098 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824156.099 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824156.099 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.099 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.099 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824156.099 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824156.099 * [misc]backup-simplify: Simplify (log 1) into 0 1536824156.099 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536824156.099 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824156.099 * [misc]taylor: Taking taylor expansion of -1 in N 1536824156.099 * [misc]backup-simplify: Simplify -1 into -1 1536824156.099 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824156.099 * [misc]taylor: Taking taylor expansion of N in N 1536824156.099 * [misc]backup-simplify: Simplify 0 into 0 1536824156.099 * [misc]backup-simplify: Simplify 1 into 1 1536824156.099 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824156.099 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.099 * [misc]backup-simplify: Simplify 1 into 1 1536824156.099 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.099 * [misc]taylor: Taking taylor expansion of N in N 1536824156.099 * [misc]backup-simplify: Simplify 0 into 0 1536824156.099 * [misc]backup-simplify: Simplify 1 into 1 1536824156.099 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.100 * [misc]backup-simplify: Simplify (- 1) into -1 1536824156.100 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824156.100 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824156.100 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824156.100 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824156.100 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.100 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.100 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824156.100 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824156.101 * [misc]backup-simplify: Simplify (log 1) into 0 1536824156.101 * [misc]backup-simplify: Simplify 0 into 0 1536824156.101 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.101 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.101 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824156.101 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824156.103 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1536824156.103 * [misc]backup-simplify: Simplify -1 into -1 1536824156.103 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.103 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.103 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824156.104 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824156.106 * [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 1536824156.106 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824156.106 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.106 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.107 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.107 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824156.107 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824156.114 * [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 1536824156.115 * [misc]backup-simplify: Simplify -1/3 into -1/3 1536824156.115 * [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)))) 1536824156.115 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1536824156.116 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1536824156.116 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1536824156.116 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824156.116 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824156.116 * [misc]taylor: Taking taylor expansion of N in N 1536824156.116 * [misc]backup-simplify: Simplify 0 into 0 1536824156.116 * [misc]backup-simplify: Simplify 1 into 1 1536824156.116 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.116 * [misc]backup-simplify: Simplify 1 into 1 1536824156.116 * [misc]taylor: Taking taylor expansion of N in N 1536824156.116 * [misc]backup-simplify: Simplify 0 into 0 1536824156.116 * [misc]backup-simplify: Simplify 1 into 1 1536824156.116 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.116 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.116 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824156.116 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824156.116 * [misc]taylor: Taking taylor expansion of N in N 1536824156.116 * [misc]backup-simplify: Simplify 0 into 0 1536824156.117 * [misc]backup-simplify: Simplify 1 into 1 1536824156.117 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.117 * [misc]backup-simplify: Simplify 1 into 1 1536824156.117 * [misc]taylor: Taking taylor expansion of N in N 1536824156.117 * [misc]backup-simplify: Simplify 0 into 0 1536824156.117 * [misc]backup-simplify: Simplify 1 into 1 1536824156.117 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.117 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.117 * [misc]backup-simplify: Simplify 1 into 1 1536824156.117 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.117 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824156.118 * [misc]backup-simplify: Simplify 1 into 1 1536824156.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824156.118 * [misc]backup-simplify: Simplify 0 into 0 1536824156.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.119 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.119 * [misc]backup-simplify: Simplify 0 into 0 1536824156.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.119 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.119 * [misc]backup-simplify: Simplify 0 into 0 1536824156.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.120 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.120 * [misc]backup-simplify: Simplify 0 into 0 1536824156.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.121 * [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 1536824156.121 * [misc]backup-simplify: Simplify 0 into 0 1536824156.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.122 * [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 1536824156.122 * [misc]backup-simplify: Simplify 0 into 0 1536824156.122 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1536824156.122 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1536824156.122 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1536824156.122 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824156.122 * [misc]taylor: Taking taylor expansion of N in N 1536824156.122 * [misc]backup-simplify: Simplify 0 into 0 1536824156.122 * [misc]backup-simplify: Simplify 1 into 1 1536824156.122 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824156.122 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.122 * [misc]taylor: Taking taylor expansion of N in N 1536824156.122 * [misc]backup-simplify: Simplify 0 into 0 1536824156.122 * [misc]backup-simplify: Simplify 1 into 1 1536824156.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.122 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.122 * [misc]backup-simplify: Simplify 1 into 1 1536824156.123 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824156.123 * [misc]taylor: Taking taylor expansion of N in N 1536824156.123 * [misc]backup-simplify: Simplify 0 into 0 1536824156.123 * [misc]backup-simplify: Simplify 1 into 1 1536824156.123 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824156.123 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.123 * [misc]taylor: Taking taylor expansion of N in N 1536824156.123 * [misc]backup-simplify: Simplify 0 into 0 1536824156.123 * [misc]backup-simplify: Simplify 1 into 1 1536824156.123 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.123 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.123 * [misc]backup-simplify: Simplify 1 into 1 1536824156.123 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.123 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824156.123 * [misc]backup-simplify: Simplify 0 into 0 1536824156.124 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824156.124 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824156.124 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824156.124 * [misc]backup-simplify: Simplify 1 into 1 1536824156.124 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.125 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824156.125 * [misc]backup-simplify: Simplify 1 into 1 1536824156.125 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.125 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.126 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824156.126 * [misc]backup-simplify: Simplify 0 into 0 1536824156.126 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.126 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824156.127 * [misc]backup-simplify: Simplify 0 into 0 1536824156.127 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.127 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.128 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1536824156.128 * [misc]backup-simplify: Simplify 0 into 0 1536824156.129 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.129 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1536824156.129 * [misc]backup-simplify: Simplify 0 into 0 1536824156.130 * [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 1536824156.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.130 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1536824156.130 * [misc]backup-simplify: Simplify 0 into 0 1536824156.131 * [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 1536824156.131 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.131 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1536824156.131 * [misc]backup-simplify: Simplify 0 into 0 1536824156.131 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1536824156.132 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1536824156.132 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1536824156.132 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of -1 in N 1536824156.132 * [misc]backup-simplify: Simplify -1 into -1 1536824156.132 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of N in N 1536824156.132 * [misc]backup-simplify: Simplify 0 into 0 1536824156.132 * [misc]backup-simplify: Simplify 1 into 1 1536824156.132 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.132 * [misc]backup-simplify: Simplify 1 into 1 1536824156.132 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of N in N 1536824156.132 * [misc]backup-simplify: Simplify 0 into 0 1536824156.132 * [misc]backup-simplify: Simplify 1 into 1 1536824156.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.132 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of -1 in N 1536824156.132 * [misc]backup-simplify: Simplify -1 into -1 1536824156.132 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of N in N 1536824156.132 * [misc]backup-simplify: Simplify 0 into 0 1536824156.132 * [misc]backup-simplify: Simplify 1 into 1 1536824156.132 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of 1 in N 1536824156.132 * [misc]backup-simplify: Simplify 1 into 1 1536824156.132 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824156.132 * [misc]taylor: Taking taylor expansion of N in N 1536824156.132 * [misc]backup-simplify: Simplify 0 into 0 1536824156.132 * [misc]backup-simplify: Simplify 1 into 1 1536824156.133 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824156.133 * [misc]backup-simplify: Simplify (- 1) into -1 1536824156.133 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824156.133 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824156.133 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824156.133 * [misc]backup-simplify: Simplify 0 into 0 1536824156.134 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824156.134 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.134 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824156.134 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824156.134 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824156.134 * [misc]backup-simplify: Simplify 1 into 1 1536824156.135 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.135 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.135 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824156.136 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824156.136 * [misc]backup-simplify: Simplify -1 into -1 1536824156.136 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.136 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824156.137 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824156.137 * [misc]backup-simplify: Simplify 0 into 0 1536824156.137 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.138 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.138 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824156.138 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824156.139 * [misc]backup-simplify: Simplify 0 into 0 1536824156.139 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.139 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.140 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1536824156.143 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1536824156.143 * [misc]backup-simplify: Simplify 0 into 0 1536824156.144 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824156.144 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.144 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.145 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1536824156.145 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1536824156.145 * [misc]backup-simplify: Simplify 0 into 0 1536824156.146 * [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 1536824156.146 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.147 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1536824156.147 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1536824156.147 * [misc]backup-simplify: Simplify 0 into 0 1536824156.148 * [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 1536824156.148 * [misc]backup-simplify: Simplify (- 0) into 0 1536824156.148 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824156.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1536824156.149 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1536824156.149 * [misc]backup-simplify: Simplify 0 into 0 1536824156.150 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1536824156.150 * * * [misc]progress: simplifying candidates 1536824156.150 * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # 1536824156.150 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536824156.151 * * [misc]simplify: iters left: 6 (7 enodes) 1536824156.154 * * [misc]simplify: iters left: 5 (12 enodes) 1536824156.158 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536824156.158 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1536824156.158 * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # 1536824156.158 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1536824156.159 * * [misc]simplify: iters left: 6 (6 enodes) 1536824156.161 * * [misc]simplify: iters left: 5 (9 enodes) 1536824156.164 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1536824156.164 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1536824156.164 * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # 1536824156.164 * [enter]simplify: Simplifying (log 1) 1536824156.164 * * [misc]simplify: iters left: 1 (2 enodes) 1536824156.165 * [exit]simplify: Simplified to 0 1536824156.165 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1536824156.165 * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # 1536824156.165 * [enter]simplify: Simplifying (log (+ 1 N)) 1536824156.166 * * [misc]simplify: iters left: 3 (4 enodes) 1536824156.166 * * [misc]simplify: iters left: 2 (7 enodes) 1536824156.167 * [exit]simplify: Simplified to (log (+ N 1)) 1536824156.167 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (+ N 1)) (log (/ 1 N)))) 1536824156.167 * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # 1536824156.168 * [enter]simplify: Simplifying (log (+ 1 N)) 1536824156.168 * * [misc]simplify: iters left: 3 (4 enodes) 1536824156.169 * * [misc]simplify: iters left: 2 (7 enodes) 1536824156.169 * [exit]simplify: Simplified to (log (+ N 1)) 1536824156.169 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ N 1)) (log N))) 1536824156.170 * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # 1536824156.170 * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # 1536824156.170 * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # 1536824156.170 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1536824156.170 * * [misc]simplify: iters left: 4 (4 enodes) 1536824156.171 * * [misc]simplify: iters left: 3 (7 enodes) 1536824156.172 * [exit]simplify: Simplified to (/ (+ N 1) N) 1536824156.172 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1536824156.172 * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # 1536824156.172 * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # 1536824156.172 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1536824156.173 * * [misc]simplify: iters left: 5 (5 enodes) 1536824156.174 * * [misc]simplify: iters left: 4 (8 enodes) 1536824156.175 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1536824156.175 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1536824156.175 * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # 1536824156.175 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824156.175 * * [misc]simplify: iters left: 3 (4 enodes) 1536824156.176 * * [misc]simplify: iters left: 2 (7 enodes) 1536824156.177 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824156.177 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1536824156.177 * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # 1536824156.177 * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # 1536824156.177 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1536824156.178 * * [misc]simplify: iters left: 3 (6 enodes) 1536824156.180 * * [misc]simplify: iters left: 2 (14 enodes) 1536824156.182 * [exit]simplify: Simplified to (+ 1 (pow N 3)) 1536824156.182 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (+ 1 (pow N 3)) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1536824156.182 * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # 1536824156.182 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1536824156.182 * * [misc]simplify: iters left: 4 (5 enodes) 1536824156.183 * * [misc]simplify: iters left: 3 (9 enodes) 1536824156.185 * * [misc]simplify: iters left: 2 (13 enodes) 1536824156.187 * [exit]simplify: Simplified to (- 1 (* N N)) 1536824156.187 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1536824156.187 * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # 1536824156.187 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1536824156.188 * * [misc]simplify: iters left: 6 (8 enodes) 1536824156.189 * * [misc]simplify: iters left: 5 (15 enodes) 1536824156.194 * * [misc]simplify: iters left: 4 (27 enodes) 1536824156.208 * * [misc]simplify: iters left: 3 (52 enodes) 1536824156.227 * * [misc]simplify: iters left: 2 (73 enodes) 1536824156.249 * * [misc]simplify: iters left: 1 (90 enodes) 1536824156.293 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1536824156.293 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1536824156.293 * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # 1536824156.293 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536824156.294 * * [misc]simplify: iters left: 6 (15 enodes) 1536824156.300 * * [misc]simplify: iters left: 5 (31 enodes) 1536824156.309 * * [misc]simplify: iters left: 4 (57 enodes) 1536824156.322 * * [misc]simplify: iters left: 3 (89 enodes) 1536824156.341 * * [misc]simplify: iters left: 2 (137 enodes) 1536824156.385 * * [misc]simplify: iters left: 1 (207 enodes) 1536824156.448 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1536824156.448 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1536824156.448 * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # 1536824156.449 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536824156.450 * * [misc]simplify: iters left: 6 (15 enodes) 1536824156.459 * * [misc]simplify: iters left: 5 (31 enodes) 1536824156.476 * * [misc]simplify: iters left: 4 (57 enodes) 1536824156.499 * * [misc]simplify: iters left: 3 (89 enodes) 1536824156.518 * * [misc]simplify: iters left: 2 (137 enodes) 1536824156.562 * * [misc]simplify: iters left: 1 (207 enodes) 1536824156.655 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1536824156.655 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1536824156.655 * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # 1536824156.655 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536824156.656 * * [misc]simplify: iters left: 4 (4 enodes) 1536824156.657 * * [misc]simplify: iters left: 3 (7 enodes) 1536824156.659 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536824156.659 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1536824156.659 * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # 1536824156.660 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536824156.660 * * [misc]simplify: iters left: 4 (4 enodes) 1536824156.661 * * [misc]simplify: iters left: 3 (7 enodes) 1536824156.664 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536824156.664 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1536824156.664 * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # 1536824156.664 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536824156.664 * * [misc]simplify: iters left: 4 (4 enodes) 1536824156.666 * * [misc]simplify: iters left: 3 (7 enodes) 1536824156.668 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536824156.668 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1536824156.668 * * * [misc]progress: adding candidates to table 1536824157.076 * * [misc]progress: iteration 3 / 4 1536824157.076 * * * [misc]progress: picking best candidate 1536824157.113 * * * * [misc]pick: Picked # 1536824157.113 * * * [misc]progress: localizing error 1536824157.133 * * * [misc]progress: generating rewritten candidates 1536824157.134 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1536824157.143 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1536824157.153 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1536824157.159 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1536824157.164 * * * [misc]progress: generating series expansions 1536824157.165 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1536824157.165 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1536824157.165 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1536824157.165 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536824157.165 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.165 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.165 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.165 * [misc]taylor: Taking taylor expansion of N in N 1536824157.165 * [misc]backup-simplify: Simplify 0 into 0 1536824157.165 * [misc]backup-simplify: Simplify 1 into 1 1536824157.165 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.165 * [misc]backup-simplify: Simplify 1 into 1 1536824157.165 * [misc]taylor: Taking taylor expansion of N in N 1536824157.165 * [misc]backup-simplify: Simplify 0 into 0 1536824157.165 * [misc]backup-simplify: Simplify 1 into 1 1536824157.166 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.166 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.166 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.167 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.167 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824157.167 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536824157.167 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.167 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.167 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.167 * [misc]taylor: Taking taylor expansion of N in N 1536824157.167 * [misc]backup-simplify: Simplify 0 into 0 1536824157.167 * [misc]backup-simplify: Simplify 1 into 1 1536824157.167 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.167 * [misc]backup-simplify: Simplify 1 into 1 1536824157.167 * [misc]taylor: Taking taylor expansion of N in N 1536824157.167 * [misc]backup-simplify: Simplify 0 into 0 1536824157.167 * [misc]backup-simplify: Simplify 1 into 1 1536824157.167 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.168 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.168 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.168 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.168 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824157.169 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824157.169 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.169 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824157.171 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536824157.173 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1536824157.173 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824157.175 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536824157.179 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1536824157.179 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.180 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536824157.180 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1536824157.180 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1536824157.180 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536824157.180 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.180 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.180 * [misc]taylor: Taking taylor expansion of N in N 1536824157.180 * [misc]backup-simplify: Simplify 0 into 0 1536824157.180 * [misc]backup-simplify: Simplify 1 into 1 1536824157.180 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.180 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.180 * [misc]taylor: Taking taylor expansion of N in N 1536824157.180 * [misc]backup-simplify: Simplify 0 into 0 1536824157.180 * [misc]backup-simplify: Simplify 1 into 1 1536824157.180 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.180 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.180 * [misc]backup-simplify: Simplify 1 into 1 1536824157.180 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.180 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.180 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.181 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.181 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.181 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.181 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.181 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.181 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.181 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.181 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536824157.181 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.182 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.182 * [misc]taylor: Taking taylor expansion of N in N 1536824157.182 * [misc]backup-simplify: Simplify 0 into 0 1536824157.182 * [misc]backup-simplify: Simplify 1 into 1 1536824157.182 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.182 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.182 * [misc]taylor: Taking taylor expansion of N in N 1536824157.182 * [misc]backup-simplify: Simplify 0 into 0 1536824157.182 * [misc]backup-simplify: Simplify 1 into 1 1536824157.182 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.182 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.182 * [misc]backup-simplify: Simplify 1 into 1 1536824157.182 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.182 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.182 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.182 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.182 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.182 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.183 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.183 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.183 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.183 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.183 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.183 * [misc]backup-simplify: Simplify 0 into 0 1536824157.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1536824157.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536824157.185 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.185 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824157.186 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536824157.189 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536824157.189 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536824157.189 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.189 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824157.189 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1536824157.194 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1536824157.194 * [misc]backup-simplify: Simplify 1/6 into 1/6 1536824157.194 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.194 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1536824157.194 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1536824157.194 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536824157.194 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.194 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.194 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.194 * [misc]backup-simplify: Simplify -1 into -1 1536824157.194 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.194 * [misc]taylor: Taking taylor expansion of N in N 1536824157.194 * [misc]backup-simplify: Simplify 0 into 0 1536824157.194 * [misc]backup-simplify: Simplify 1 into 1 1536824157.194 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.194 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.194 * [misc]backup-simplify: Simplify 1 into 1 1536824157.194 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.195 * [misc]taylor: Taking taylor expansion of N in N 1536824157.195 * [misc]backup-simplify: Simplify 0 into 0 1536824157.195 * [misc]backup-simplify: Simplify 1 into 1 1536824157.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.195 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.195 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.195 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.195 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.195 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.195 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.195 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.196 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.196 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.196 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.196 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.196 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.196 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.196 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.196 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.197 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.197 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.197 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536824157.197 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.197 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.197 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.197 * [misc]backup-simplify: Simplify -1 into -1 1536824157.197 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.197 * [misc]taylor: Taking taylor expansion of N in N 1536824157.197 * [misc]backup-simplify: Simplify 0 into 0 1536824157.197 * [misc]backup-simplify: Simplify 1 into 1 1536824157.197 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.197 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.197 * [misc]backup-simplify: Simplify 1 into 1 1536824157.197 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.197 * [misc]taylor: Taking taylor expansion of N in N 1536824157.197 * [misc]backup-simplify: Simplify 0 into 0 1536824157.197 * [misc]backup-simplify: Simplify 1 into 1 1536824157.197 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.197 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.197 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.197 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.197 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.198 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.198 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.198 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.198 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.198 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.198 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.198 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.198 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.199 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.199 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.199 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.199 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.199 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.199 * [misc]backup-simplify: Simplify 0 into 0 1536824157.201 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1536824157.201 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824157.201 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.202 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.202 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824157.202 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824157.203 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536824157.205 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536824157.205 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536824157.206 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.206 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.206 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824157.206 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824157.207 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1536824157.211 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1536824157.211 * [misc]backup-simplify: Simplify -1/6 into -1/6 1536824157.211 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.211 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1536824157.211 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1536824157.211 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1536824157.211 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of N in N 1536824157.212 * [misc]backup-simplify: Simplify 0 into 0 1536824157.212 * [misc]backup-simplify: Simplify 1 into 1 1536824157.212 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.212 * [misc]backup-simplify: Simplify 1 into 1 1536824157.212 * [misc]taylor: Taking taylor expansion of N in N 1536824157.212 * [misc]backup-simplify: Simplify 0 into 0 1536824157.212 * [misc]backup-simplify: Simplify 1 into 1 1536824157.212 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.212 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.212 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.212 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824157.212 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.212 * [misc]taylor: Taking taylor expansion of N in N 1536824157.212 * [misc]backup-simplify: Simplify 0 into 0 1536824157.212 * [misc]backup-simplify: Simplify 1 into 1 1536824157.212 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.213 * [misc]backup-simplify: Simplify 1 into 1 1536824157.213 * [misc]taylor: Taking taylor expansion of N in N 1536824157.213 * [misc]backup-simplify: Simplify 0 into 0 1536824157.213 * [misc]backup-simplify: Simplify 1 into 1 1536824157.213 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.213 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.213 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.213 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.213 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824157.213 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824157.213 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.214 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824157.214 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536824157.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1536824157.216 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.216 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824157.217 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536824157.219 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1536824157.219 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.220 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536824157.220 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1536824157.220 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1536824157.220 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536824157.220 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.220 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.220 * [misc]taylor: Taking taylor expansion of N in N 1536824157.220 * [misc]backup-simplify: Simplify 0 into 0 1536824157.220 * [misc]backup-simplify: Simplify 1 into 1 1536824157.220 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.220 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.220 * [misc]taylor: Taking taylor expansion of N in N 1536824157.220 * [misc]backup-simplify: Simplify 0 into 0 1536824157.220 * [misc]backup-simplify: Simplify 1 into 1 1536824157.220 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.220 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.221 * [misc]backup-simplify: Simplify 1 into 1 1536824157.221 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.221 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.221 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.221 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.221 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.222 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.222 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.222 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.222 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.223 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.223 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536824157.223 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.223 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.223 * [misc]taylor: Taking taylor expansion of N in N 1536824157.223 * [misc]backup-simplify: Simplify 0 into 0 1536824157.223 * [misc]backup-simplify: Simplify 1 into 1 1536824157.223 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.223 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.223 * [misc]taylor: Taking taylor expansion of N in N 1536824157.223 * [misc]backup-simplify: Simplify 0 into 0 1536824157.223 * [misc]backup-simplify: Simplify 1 into 1 1536824157.223 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.223 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.223 * [misc]backup-simplify: Simplify 1 into 1 1536824157.223 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.223 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.224 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.224 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.224 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.224 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.224 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.225 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.225 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.225 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.225 * [misc]backup-simplify: Simplify 0 into 0 1536824157.232 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1536824157.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536824157.232 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824157.234 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536824157.238 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536824157.238 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536824157.238 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.239 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824157.239 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1536824157.246 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1536824157.246 * [misc]backup-simplify: Simplify 1/6 into 1/6 1536824157.247 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.247 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1536824157.247 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1536824157.247 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536824157.247 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.247 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.247 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.247 * [misc]backup-simplify: Simplify -1 into -1 1536824157.247 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.247 * [misc]taylor: Taking taylor expansion of N in N 1536824157.247 * [misc]backup-simplify: Simplify 0 into 0 1536824157.247 * [misc]backup-simplify: Simplify 1 into 1 1536824157.247 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.247 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.247 * [misc]backup-simplify: Simplify 1 into 1 1536824157.247 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.247 * [misc]taylor: Taking taylor expansion of N in N 1536824157.247 * [misc]backup-simplify: Simplify 0 into 0 1536824157.247 * [misc]backup-simplify: Simplify 1 into 1 1536824157.248 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.248 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.248 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.248 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.248 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.249 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.249 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.249 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.249 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.249 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.249 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.250 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.250 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.250 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.251 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.251 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.251 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.251 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536824157.251 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.251 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.251 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.251 * [misc]backup-simplify: Simplify -1 into -1 1536824157.251 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.252 * [misc]taylor: Taking taylor expansion of N in N 1536824157.252 * [misc]backup-simplify: Simplify 0 into 0 1536824157.252 * [misc]backup-simplify: Simplify 1 into 1 1536824157.252 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.252 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.252 * [misc]backup-simplify: Simplify 1 into 1 1536824157.252 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.252 * [misc]taylor: Taking taylor expansion of N in N 1536824157.252 * [misc]backup-simplify: Simplify 0 into 0 1536824157.252 * [misc]backup-simplify: Simplify 1 into 1 1536824157.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.252 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.252 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.252 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.253 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.253 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.253 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.253 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.253 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.253 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.254 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.254 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.254 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.254 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.255 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.255 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.255 * [misc]backup-simplify: Simplify (log 1) into 0 1536824157.255 * [misc]backup-simplify: Simplify 0 into 0 1536824157.258 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1536824157.258 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824157.258 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.258 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.259 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824157.259 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824157.260 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536824157.264 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536824157.264 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536824157.265 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.265 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.265 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824157.266 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824157.266 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1536824157.273 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1536824157.273 * [misc]backup-simplify: Simplify -1/6 into -1/6 1536824157.274 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.274 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1536824157.274 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1536824157.274 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1536824157.274 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.274 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.274 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.274 * [misc]taylor: Taking taylor expansion of N in N 1536824157.274 * [misc]backup-simplify: Simplify 0 into 0 1536824157.274 * [misc]backup-simplify: Simplify 1 into 1 1536824157.274 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.274 * [misc]backup-simplify: Simplify 1 into 1 1536824157.274 * [misc]taylor: Taking taylor expansion of N in N 1536824157.274 * [misc]backup-simplify: Simplify 0 into 0 1536824157.274 * [misc]backup-simplify: Simplify 1 into 1 1536824157.275 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.275 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.275 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.275 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.275 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.275 * [misc]taylor: Taking taylor expansion of N in N 1536824157.275 * [misc]backup-simplify: Simplify 0 into 0 1536824157.276 * [misc]backup-simplify: Simplify 1 into 1 1536824157.276 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.276 * [misc]backup-simplify: Simplify 1 into 1 1536824157.276 * [misc]taylor: Taking taylor expansion of N in N 1536824157.276 * [misc]backup-simplify: Simplify 0 into 0 1536824157.276 * [misc]backup-simplify: Simplify 1 into 1 1536824157.276 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.276 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.277 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.277 * [misc]backup-simplify: Simplify 0 into 0 1536824157.277 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.277 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.277 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824157.278 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536824157.278 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.279 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824157.280 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536824157.280 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.280 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536824157.280 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1536824157.281 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1536824157.281 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.281 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.281 * [misc]taylor: Taking taylor expansion of N in N 1536824157.281 * [misc]backup-simplify: Simplify 0 into 0 1536824157.281 * [misc]backup-simplify: Simplify 1 into 1 1536824157.281 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.281 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.281 * [misc]taylor: Taking taylor expansion of N in N 1536824157.281 * [misc]backup-simplify: Simplify 0 into 0 1536824157.281 * [misc]backup-simplify: Simplify 1 into 1 1536824157.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.281 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.281 * [misc]backup-simplify: Simplify 1 into 1 1536824157.281 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.281 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.282 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.282 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.282 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.282 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.282 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.283 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.283 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.283 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.283 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.283 * [misc]taylor: Taking taylor expansion of N in N 1536824157.283 * [misc]backup-simplify: Simplify 0 into 0 1536824157.283 * [misc]backup-simplify: Simplify 1 into 1 1536824157.283 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.283 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.283 * [misc]taylor: Taking taylor expansion of N in N 1536824157.283 * [misc]backup-simplify: Simplify 0 into 0 1536824157.283 * [misc]backup-simplify: Simplify 1 into 1 1536824157.283 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.283 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.283 * [misc]backup-simplify: Simplify 1 into 1 1536824157.284 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.284 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.284 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.284 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.284 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.284 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.284 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.284 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.284 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.285 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.285 * [misc]backup-simplify: Simplify 1 into 1 1536824157.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536824157.285 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.285 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824157.286 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536824157.286 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536824157.286 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824157.286 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1536824157.286 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536824157.286 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.286 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.286 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.286 * [misc]backup-simplify: Simplify -1 into -1 1536824157.286 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.286 * [misc]taylor: Taking taylor expansion of N in N 1536824157.286 * [misc]backup-simplify: Simplify 0 into 0 1536824157.287 * [misc]backup-simplify: Simplify 1 into 1 1536824157.287 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.287 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.287 * [misc]backup-simplify: Simplify 1 into 1 1536824157.287 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.287 * [misc]taylor: Taking taylor expansion of N in N 1536824157.287 * [misc]backup-simplify: Simplify 0 into 0 1536824157.287 * [misc]backup-simplify: Simplify 1 into 1 1536824157.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.287 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.287 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.287 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.287 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.287 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.287 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.287 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.288 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.288 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.288 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.288 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.288 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.288 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.288 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.289 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.289 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.289 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.289 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.289 * [misc]backup-simplify: Simplify -1 into -1 1536824157.289 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.289 * [misc]taylor: Taking taylor expansion of N in N 1536824157.289 * [misc]backup-simplify: Simplify 0 into 0 1536824157.289 * [misc]backup-simplify: Simplify 1 into 1 1536824157.289 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.289 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.289 * [misc]backup-simplify: Simplify 1 into 1 1536824157.289 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.289 * [misc]taylor: Taking taylor expansion of N in N 1536824157.289 * [misc]backup-simplify: Simplify 0 into 0 1536824157.289 * [misc]backup-simplify: Simplify 1 into 1 1536824157.289 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.289 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.289 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.289 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.289 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.289 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.290 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.290 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.290 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.290 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.290 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.290 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.290 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.290 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.290 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.291 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.291 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.291 * [misc]backup-simplify: Simplify 1 into 1 1536824157.291 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824157.291 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.291 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824157.292 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824157.292 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536824157.292 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536824157.293 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824157.293 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1536824157.293 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1536824157.293 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1536824157.293 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.293 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.293 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.293 * [misc]taylor: Taking taylor expansion of N in N 1536824157.293 * [misc]backup-simplify: Simplify 0 into 0 1536824157.293 * [misc]backup-simplify: Simplify 1 into 1 1536824157.293 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.293 * [misc]backup-simplify: Simplify 1 into 1 1536824157.293 * [misc]taylor: Taking taylor expansion of N in N 1536824157.293 * [misc]backup-simplify: Simplify 0 into 0 1536824157.293 * [misc]backup-simplify: Simplify 1 into 1 1536824157.293 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.293 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.293 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.294 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.294 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824157.294 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824157.294 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824157.294 * [misc]taylor: Taking taylor expansion of N in N 1536824157.294 * [misc]backup-simplify: Simplify 0 into 0 1536824157.294 * [misc]backup-simplify: Simplify 1 into 1 1536824157.294 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.294 * [misc]backup-simplify: Simplify 1 into 1 1536824157.294 * [misc]taylor: Taking taylor expansion of N in N 1536824157.294 * [misc]backup-simplify: Simplify 0 into 0 1536824157.294 * [misc]backup-simplify: Simplify 1 into 1 1536824157.294 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.294 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.294 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824157.294 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824157.295 * [misc]backup-simplify: Simplify 0 into 0 1536824157.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.295 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.295 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824157.295 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536824157.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824157.296 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536824157.296 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824157.297 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536824157.297 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1536824157.297 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1536824157.297 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.297 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.297 * [misc]taylor: Taking taylor expansion of N in N 1536824157.297 * [misc]backup-simplify: Simplify 0 into 0 1536824157.297 * [misc]backup-simplify: Simplify 1 into 1 1536824157.297 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.297 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.297 * [misc]taylor: Taking taylor expansion of N in N 1536824157.297 * [misc]backup-simplify: Simplify 0 into 0 1536824157.297 * [misc]backup-simplify: Simplify 1 into 1 1536824157.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.297 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.297 * [misc]backup-simplify: Simplify 1 into 1 1536824157.297 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.297 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.297 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.297 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.298 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.298 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.298 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.298 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.298 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.298 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824157.298 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824157.298 * [misc]taylor: Taking taylor expansion of N in N 1536824157.298 * [misc]backup-simplify: Simplify 0 into 0 1536824157.298 * [misc]backup-simplify: Simplify 1 into 1 1536824157.298 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824157.298 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.298 * [misc]taylor: Taking taylor expansion of N in N 1536824157.298 * [misc]backup-simplify: Simplify 0 into 0 1536824157.298 * [misc]backup-simplify: Simplify 1 into 1 1536824157.299 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.299 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.299 * [misc]backup-simplify: Simplify 1 into 1 1536824157.299 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.299 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824157.299 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.299 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824157.299 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824157.299 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.299 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824157.300 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824157.300 * [misc]backup-simplify: Simplify 1 into 1 1536824157.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536824157.300 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.300 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824157.301 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536824157.301 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536824157.302 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824157.302 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1536824157.302 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536824157.302 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.302 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.302 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.302 * [misc]backup-simplify: Simplify -1 into -1 1536824157.302 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.302 * [misc]taylor: Taking taylor expansion of N in N 1536824157.302 * [misc]backup-simplify: Simplify 0 into 0 1536824157.302 * [misc]backup-simplify: Simplify 1 into 1 1536824157.302 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.302 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.302 * [misc]backup-simplify: Simplify 1 into 1 1536824157.302 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.302 * [misc]taylor: Taking taylor expansion of N in N 1536824157.302 * [misc]backup-simplify: Simplify 0 into 0 1536824157.302 * [misc]backup-simplify: Simplify 1 into 1 1536824157.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.302 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.302 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.302 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.302 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.303 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.303 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.303 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.303 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.303 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.303 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.303 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.303 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.304 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.304 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.304 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.304 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824157.304 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824157.304 * [misc]taylor: Taking taylor expansion of -1 in N 1536824157.304 * [misc]backup-simplify: Simplify -1 into -1 1536824157.304 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824157.304 * [misc]taylor: Taking taylor expansion of N in N 1536824157.304 * [misc]backup-simplify: Simplify 0 into 0 1536824157.304 * [misc]backup-simplify: Simplify 1 into 1 1536824157.304 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824157.304 * [misc]taylor: Taking taylor expansion of 1 in N 1536824157.304 * [misc]backup-simplify: Simplify 1 into 1 1536824157.304 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824157.304 * [misc]taylor: Taking taylor expansion of N in N 1536824157.304 * [misc]backup-simplify: Simplify 0 into 0 1536824157.304 * [misc]backup-simplify: Simplify 1 into 1 1536824157.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824157.304 * [misc]backup-simplify: Simplify (- 1) into -1 1536824157.304 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824157.305 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824157.305 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824157.305 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824157.305 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.305 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824157.305 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824157.305 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824157.305 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824157.306 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.306 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.306 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824157.306 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824157.306 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824157.306 * [misc]backup-simplify: Simplify 1 into 1 1536824157.306 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824157.306 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824157.307 * [misc]backup-simplify: Simplify (- 0) into 0 1536824157.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824157.307 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824157.307 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824157.308 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536824157.308 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536824157.308 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824157.308 * * * [misc]progress: simplifying candidates 1536824157.308 * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # 1536824157.308 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1536824157.309 * * [misc]simplify: iters left: 6 (8 enodes) 1536824157.311 * * [misc]simplify: iters left: 5 (13 enodes) 1536824157.313 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1536824157.313 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) 1536824157.313 * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # 1536824157.313 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1536824157.314 * * [misc]simplify: iters left: 6 (8 enodes) 1536824157.316 * * [misc]simplify: iters left: 5 (12 enodes) 1536824157.319 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1536824157.319 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) 1536824157.319 * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # 1536824157.320 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536824157.320 * * [misc]simplify: iters left: 6 (7 enodes) 1536824157.323 * * [misc]simplify: iters left: 5 (10 enodes) 1536824157.326 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1536824157.326 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1536824157.326 * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # 1536824157.326 * [enter]simplify: Simplifying (log (sqrt 1)) 1536824157.327 * * [misc]simplify: iters left: 2 (3 enodes) 1536824157.329 * * [misc]simplify: iters left: 1 (5 enodes) 1536824157.330 * [exit]simplify: Simplified to 0 1536824157.330 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1536824157.330 * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # 1536824157.330 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824157.330 * * [misc]simplify: iters left: 4 (5 enodes) 1536824157.332 * * [misc]simplify: iters left: 3 (8 enodes) 1536824157.334 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824157.334 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) 1536824157.334 * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # 1536824157.335 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536824157.335 * * [misc]simplify: iters left: 6 (7 enodes) 1536824157.338 * * [misc]simplify: iters left: 5 (10 enodes) 1536824157.341 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1536824157.341 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1536824157.341 * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # 1536824157.342 * [enter]simplify: Simplifying (log 1) 1536824157.342 * * [misc]simplify: iters left: 1 (2 enodes) 1536824157.343 * [exit]simplify: Simplified to 0 1536824157.343 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1536824157.343 * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # 1536824157.344 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824157.344 * * [misc]simplify: iters left: 4 (5 enodes) 1536824157.346 * * [misc]simplify: iters left: 3 (8 enodes) 1536824157.348 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824157.348 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (- (log (sqrt (+ N 1))) (log (sqrt N))))) 1536824157.348 * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # 1536824157.348 * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # 1536824157.348 * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # 1536824157.348 * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # 1536824157.349 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1536824157.349 * * [misc]simplify: iters left: 5 (5 enodes) 1536824157.354 * * [misc]simplify: iters left: 4 (8 enodes) 1536824157.356 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1536824157.356 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1536824157.356 * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # 1536824157.356 * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # 1536824157.356 * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # 1536824157.356 * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # 1536824157.356 * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # 1536824157.356 * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # 1536824157.356 * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # 1536824157.357 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1536824157.357 * * [misc]simplify: iters left: 6 (8 enodes) 1536824157.360 * * [misc]simplify: iters left: 5 (13 enodes) 1536824157.365 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1536824157.365 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.365 * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # 1536824157.365 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1536824157.366 * * [misc]simplify: iters left: 6 (8 enodes) 1536824157.369 * * [misc]simplify: iters left: 5 (12 enodes) 1536824157.372 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1536824157.372 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.372 * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # 1536824157.372 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536824157.373 * * [misc]simplify: iters left: 6 (7 enodes) 1536824157.374 * * [misc]simplify: iters left: 5 (10 enodes) 1536824157.376 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1536824157.376 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.376 * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # 1536824157.376 * [enter]simplify: Simplifying (log (sqrt 1)) 1536824157.376 * * [misc]simplify: iters left: 2 (3 enodes) 1536824157.377 * * [misc]simplify: iters left: 1 (5 enodes) 1536824157.378 * [exit]simplify: Simplified to 0 1536824157.378 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.378 * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # 1536824157.378 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824157.378 * * [misc]simplify: iters left: 4 (5 enodes) 1536824157.379 * * [misc]simplify: iters left: 3 (8 enodes) 1536824157.380 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824157.380 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.380 * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # 1536824157.381 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536824157.381 * * [misc]simplify: iters left: 6 (7 enodes) 1536824157.382 * * [misc]simplify: iters left: 5 (10 enodes) 1536824157.384 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1536824157.384 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.384 * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # 1536824157.384 * [enter]simplify: Simplifying (log 1) 1536824157.384 * * [misc]simplify: iters left: 1 (2 enodes) 1536824157.385 * [exit]simplify: Simplified to 0 1536824157.385 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.385 * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # 1536824157.385 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824157.386 * * [misc]simplify: iters left: 4 (5 enodes) 1536824157.386 * * [misc]simplify: iters left: 3 (8 enodes) 1536824157.388 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824157.388 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.388 * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # 1536824157.388 * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # 1536824157.388 * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # 1536824157.388 * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # 1536824157.388 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1536824157.388 * * [misc]simplify: iters left: 5 (5 enodes) 1536824157.389 * * [misc]simplify: iters left: 4 (8 enodes) 1536824157.390 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1536824157.390 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.390 * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # 1536824157.390 * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # 1536824157.390 * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # 1536824157.390 * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # 1536824157.390 * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # 1536824157.391 * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # 1536824157.391 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536824157.391 * * [misc]simplify: iters left: 6 (7 enodes) 1536824157.393 * * [misc]simplify: iters left: 5 (11 enodes) 1536824157.394 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1536824157.394 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))))) 1536824157.394 * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # 1536824157.395 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1536824157.395 * * [misc]simplify: iters left: 6 (6 enodes) 1536824157.396 * * [misc]simplify: iters left: 5 (9 enodes) 1536824157.397 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1536824157.397 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))))) 1536824157.397 * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # 1536824157.398 * [enter]simplify: Simplifying (sqrt 1) 1536824157.398 * * [misc]simplify: iters left: 1 (2 enodes) 1536824157.399 * [exit]simplify: Simplified to 1 1536824157.399 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* 1 (sqrt (/ (+ 1 N) N)))))) 1536824157.399 * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # 1536824157.399 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824157.399 * * [misc]simplify: iters left: 3 (4 enodes) 1536824157.400 * * [misc]simplify: iters left: 2 (7 enodes) 1536824157.402 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824157.402 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))))) 1536824157.402 * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # 1536824157.403 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824157.403 * * [misc]simplify: iters left: 3 (4 enodes) 1536824157.404 * * [misc]simplify: iters left: 2 (7 enodes) 1536824157.406 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824157.406 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 1536824157.406 * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # 1536824157.406 * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # 1536824157.407 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1536824157.407 * * [misc]simplify: iters left: 5 (5 enodes) 1536824157.409 * * [misc]simplify: iters left: 4 (8 enodes) 1536824157.411 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1536824157.411 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (fabs (sqrt (/ (+ N 1) N)))))) 1536824157.411 * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # 1536824157.411 * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # 1536824157.412 * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # 1536824157.412 * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # 1536824157.412 * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # 1536824157.412 * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # 1536824157.412 * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # 1536824157.412 * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # 1536824157.412 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536824157.413 * * [misc]simplify: iters left: 6 (7 enodes) 1536824157.416 * * [misc]simplify: iters left: 5 (11 enodes) 1536824157.419 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1536824157.419 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.419 * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # 1536824157.420 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1536824157.420 * * [misc]simplify: iters left: 6 (6 enodes) 1536824157.423 * * [misc]simplify: iters left: 5 (9 enodes) 1536824157.425 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1536824157.425 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.425 * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # 1536824157.426 * [enter]simplify: Simplifying (sqrt 1) 1536824157.426 * * [misc]simplify: iters left: 1 (2 enodes) 1536824157.427 * [exit]simplify: Simplified to 1 1536824157.427 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.428 * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # 1536824157.428 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824157.428 * * [misc]simplify: iters left: 3 (4 enodes) 1536824157.430 * * [misc]simplify: iters left: 2 (7 enodes) 1536824157.432 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824157.432 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.432 * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # 1536824157.432 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824157.433 * * [misc]simplify: iters left: 3 (4 enodes) 1536824157.434 * * [misc]simplify: iters left: 2 (7 enodes) 1536824157.436 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824157.436 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.436 * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # 1536824157.436 * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # 1536824157.437 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1536824157.437 * * [misc]simplify: iters left: 5 (5 enodes) 1536824157.439 * * [misc]simplify: iters left: 4 (8 enodes) 1536824157.441 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1536824157.441 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824157.441 * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # 1536824157.441 * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # 1536824157.442 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536824157.442 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) +nan.0)) 1536824157.442 * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # 1536824157.442 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.443 * * [misc]simplify: iters left: 6 (17 enodes) 1536824157.455 * * [misc]simplify: iters left: 5 (36 enodes) 1536824157.478 * * [misc]simplify: iters left: 4 (64 enodes) 1536824157.505 * * [misc]simplify: iters left: 3 (100 enodes) 1536824157.528 * * [misc]simplify: iters left: 2 (153 enodes) 1536824157.555 * * [misc]simplify: iters left: 1 (211 enodes) 1536824157.654 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1536824157.654 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))) 1536824157.654 * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # 1536824157.655 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.656 * * [misc]simplify: iters left: 6 (17 enodes) 1536824157.668 * * [misc]simplify: iters left: 5 (36 enodes) 1536824157.689 * * [misc]simplify: iters left: 4 (64 enodes) 1536824157.719 * * [misc]simplify: iters left: 3 (100 enodes) 1536824157.741 * * [misc]simplify: iters left: 2 (153 enodes) 1536824157.764 * * [misc]simplify: iters left: 1 (211 enodes) 1536824157.831 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1536824157.831 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))))) 1536824157.832 * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # 1536824157.832 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536824157.832 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ 1 N) N))))) 1536824157.832 * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # 1536824157.832 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824157.833 * * [misc]simplify: iters left: 6 (17 enodes) 1536824157.839 * * [misc]simplify: iters left: 5 (36 enodes) 1536824157.854 * * [misc]simplify: iters left: 4 (64 enodes) 1536824157.881 * * [misc]simplify: iters left: 3 (100 enodes) 1536824157.926 * * [misc]simplify: iters left: 2 (153 enodes) 1536824157.970 * * [misc]simplify: iters left: 1 (211 enodes) 1536824158.025 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1536824158.025 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824158.025 * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # 1536824158.025 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824158.026 * * [misc]simplify: iters left: 6 (17 enodes) 1536824158.038 * * [misc]simplify: iters left: 5 (36 enodes) 1536824158.059 * * [misc]simplify: iters left: 4 (64 enodes) 1536824158.086 * * [misc]simplify: iters left: 3 (100 enodes) 1536824158.130 * * [misc]simplify: iters left: 2 (153 enodes) 1536824158.175 * * [misc]simplify: iters left: 1 (211 enodes) 1536824158.241 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1536824158.241 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824158.241 * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # 1536824158.241 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536824158.241 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log +nan.0))) 1536824158.241 * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # 1536824158.242 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824158.242 * * [misc]simplify: iters left: 6 (12 enodes) 1536824158.247 * * [misc]simplify: iters left: 5 (26 enodes) 1536824158.254 * * [misc]simplify: iters left: 4 (48 enodes) 1536824158.266 * * [misc]simplify: iters left: 3 (76 enodes) 1536824158.283 * * [misc]simplify: iters left: 2 (103 enodes) 1536824158.318 * * [misc]simplify: iters left: 1 (142 enodes) 1536824158.369 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536824158.369 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1536824158.370 * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # 1536824158.370 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824158.371 * * [misc]simplify: iters left: 6 (12 enodes) 1536824158.379 * * [misc]simplify: iters left: 5 (26 enodes) 1536824158.393 * * [misc]simplify: iters left: 4 (48 enodes) 1536824158.413 * * [misc]simplify: iters left: 3 (76 enodes) 1536824158.427 * * [misc]simplify: iters left: 2 (103 enodes) 1536824158.454 * * [misc]simplify: iters left: 1 (142 enodes) 1536824158.504 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536824158.504 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1536824158.504 * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # 1536824158.504 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536824158.505 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ 1 N) N))))) 1536824158.505 * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # 1536824158.505 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824158.506 * * [misc]simplify: iters left: 6 (12 enodes) 1536824158.514 * * [misc]simplify: iters left: 5 (26 enodes) 1536824158.528 * * [misc]simplify: iters left: 4 (48 enodes) 1536824158.549 * * [misc]simplify: iters left: 3 (76 enodes) 1536824158.576 * * [misc]simplify: iters left: 2 (103 enodes) 1536824158.615 * * [misc]simplify: iters left: 1 (142 enodes) 1536824158.666 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536824158.666 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824158.666 * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # 1536824158.666 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824158.668 * * [misc]simplify: iters left: 6 (12 enodes) 1536824158.676 * * [misc]simplify: iters left: 5 (26 enodes) 1536824158.683 * * [misc]simplify: iters left: 4 (48 enodes) 1536824158.695 * * [misc]simplify: iters left: 3 (76 enodes) 1536824158.712 * * [misc]simplify: iters left: 2 (103 enodes) 1536824158.739 * * [misc]simplify: iters left: 1 (142 enodes) 1536824158.790 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536824158.790 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1536824158.790 * * * [misc]progress: adding candidates to table 1536824159.868 * * [misc]progress: iteration 4 / 4 1536824159.868 * * * [misc]progress: picking best candidate 1536824159.889 * * * * [misc]pick: Picked # 1536824159.889 * * * [misc]progress: localizing error 1536824159.897 * * * [misc]progress: generating rewritten candidates 1536824159.897 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1536824159.902 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1536824159.907 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1536824159.911 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) 1536824159.922 * * * [misc]progress: generating series expansions 1536824159.923 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1536824159.923 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1536824159.923 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1536824159.923 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536824159.923 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824159.923 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824159.923 * [misc]taylor: Taking taylor expansion of N in N 1536824159.923 * [misc]backup-simplify: Simplify 0 into 0 1536824159.923 * [misc]backup-simplify: Simplify 1 into 1 1536824159.923 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.923 * [misc]backup-simplify: Simplify 1 into 1 1536824159.923 * [misc]taylor: Taking taylor expansion of N in N 1536824159.923 * [misc]backup-simplify: Simplify 0 into 0 1536824159.923 * [misc]backup-simplify: Simplify 1 into 1 1536824159.923 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824159.923 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.923 * [misc]backup-simplify: Simplify (log 1) into 0 1536824159.923 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536824159.924 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824159.924 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824159.924 * [misc]taylor: Taking taylor expansion of N in N 1536824159.924 * [misc]backup-simplify: Simplify 0 into 0 1536824159.924 * [misc]backup-simplify: Simplify 1 into 1 1536824159.924 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.924 * [misc]backup-simplify: Simplify 1 into 1 1536824159.924 * [misc]taylor: Taking taylor expansion of N in N 1536824159.924 * [misc]backup-simplify: Simplify 0 into 0 1536824159.924 * [misc]backup-simplify: Simplify 1 into 1 1536824159.924 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824159.924 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.924 * [misc]backup-simplify: Simplify (log 1) into 0 1536824159.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536824159.924 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536824159.924 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.925 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824159.926 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824159.926 * [misc]backup-simplify: Simplify 1 into 1 1536824159.926 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824159.930 * [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 1536824159.930 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824159.930 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1536824159.931 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1536824159.931 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1536824159.931 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536824159.931 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824159.931 * [misc]taylor: Taking taylor expansion of N in N 1536824159.931 * [misc]backup-simplify: Simplify 0 into 0 1536824159.931 * [misc]backup-simplify: Simplify 1 into 1 1536824159.931 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824159.931 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824159.931 * [misc]taylor: Taking taylor expansion of N in N 1536824159.931 * [misc]backup-simplify: Simplify 0 into 0 1536824159.931 * [misc]backup-simplify: Simplify 1 into 1 1536824159.931 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.931 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.931 * [misc]backup-simplify: Simplify 1 into 1 1536824159.931 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.932 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824159.932 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824159.932 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824159.932 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824159.932 * [misc]backup-simplify: Simplify (log 1) into 0 1536824159.932 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536824159.932 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824159.932 * [misc]taylor: Taking taylor expansion of N in N 1536824159.933 * [misc]backup-simplify: Simplify 0 into 0 1536824159.933 * [misc]backup-simplify: Simplify 1 into 1 1536824159.933 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824159.933 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824159.933 * [misc]taylor: Taking taylor expansion of N in N 1536824159.933 * [misc]backup-simplify: Simplify 0 into 0 1536824159.933 * [misc]backup-simplify: Simplify 1 into 1 1536824159.933 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.933 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.933 * [misc]backup-simplify: Simplify 1 into 1 1536824159.933 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.933 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824159.934 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824159.934 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824159.934 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824159.934 * [misc]backup-simplify: Simplify (log 1) into 0 1536824159.934 * [misc]backup-simplify: Simplify 0 into 0 1536824159.935 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824159.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.935 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824159.942 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536824159.942 * [misc]backup-simplify: Simplify 1 into 1 1536824159.942 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824159.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.943 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824159.948 * [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 1536824159.948 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824159.949 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824159.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.949 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824159.957 * [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 1536824159.957 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536824159.958 * [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)))) 1536824159.958 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1536824159.958 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536824159.958 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536824159.958 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824159.958 * [misc]taylor: Taking taylor expansion of -1 in N 1536824159.958 * [misc]backup-simplify: Simplify -1 into -1 1536824159.958 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824159.958 * [misc]taylor: Taking taylor expansion of N in N 1536824159.958 * [misc]backup-simplify: Simplify 0 into 0 1536824159.958 * [misc]backup-simplify: Simplify 1 into 1 1536824159.958 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824159.958 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.958 * [misc]backup-simplify: Simplify 1 into 1 1536824159.958 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824159.958 * [misc]taylor: Taking taylor expansion of N in N 1536824159.958 * [misc]backup-simplify: Simplify 0 into 0 1536824159.959 * [misc]backup-simplify: Simplify 1 into 1 1536824159.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.959 * [misc]backup-simplify: Simplify (- 1) into -1 1536824159.959 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824159.959 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824159.959 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824159.960 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824159.960 * [misc]backup-simplify: Simplify (- 0) into 0 1536824159.960 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.960 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824159.960 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824159.961 * [misc]backup-simplify: Simplify (log 1) into 0 1536824159.961 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536824159.961 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824159.961 * [misc]taylor: Taking taylor expansion of -1 in N 1536824159.961 * [misc]backup-simplify: Simplify -1 into -1 1536824159.961 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824159.961 * [misc]taylor: Taking taylor expansion of N in N 1536824159.961 * [misc]backup-simplify: Simplify 0 into 0 1536824159.961 * [misc]backup-simplify: Simplify 1 into 1 1536824159.961 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824159.961 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.961 * [misc]backup-simplify: Simplify 1 into 1 1536824159.961 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824159.961 * [misc]taylor: Taking taylor expansion of N in N 1536824159.961 * [misc]backup-simplify: Simplify 0 into 0 1536824159.961 * [misc]backup-simplify: Simplify 1 into 1 1536824159.961 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.961 * [misc]backup-simplify: Simplify (- 1) into -1 1536824159.961 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824159.962 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824159.962 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824159.962 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824159.962 * [misc]backup-simplify: Simplify (- 0) into 0 1536824159.962 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.963 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824159.963 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824159.963 * [misc]backup-simplify: Simplify (log 1) into 0 1536824159.963 * [misc]backup-simplify: Simplify 0 into 0 1536824159.963 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824159.964 * [misc]backup-simplify: Simplify (- 0) into 0 1536824159.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.964 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824159.964 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824159.967 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1536824159.967 * [misc]backup-simplify: Simplify -1 into -1 1536824159.968 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824159.968 * [misc]backup-simplify: Simplify (- 0) into 0 1536824159.968 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.968 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824159.969 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824159.973 * [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 1536824159.973 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824159.974 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824159.974 * [misc]backup-simplify: Simplify (- 0) into 0 1536824159.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.975 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824159.975 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824159.982 * [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 1536824159.983 * [misc]backup-simplify: Simplify -1/3 into -1/3 1536824159.983 * [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)))) 1536824159.983 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1536824159.984 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1536824159.984 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1536824159.984 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536824159.984 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824159.984 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824159.984 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824159.984 * [misc]taylor: Taking taylor expansion of N in N 1536824159.984 * [misc]backup-simplify: Simplify 0 into 0 1536824159.984 * [misc]backup-simplify: Simplify 1 into 1 1536824159.984 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.984 * [misc]backup-simplify: Simplify 1 into 1 1536824159.984 * [misc]taylor: Taking taylor expansion of N in N 1536824159.984 * [misc]backup-simplify: Simplify 0 into 0 1536824159.984 * [misc]backup-simplify: Simplify 1 into 1 1536824159.984 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824159.985 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.985 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824159.985 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824159.985 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824159.985 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536824159.985 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824159.985 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824159.985 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824159.986 * [misc]taylor: Taking taylor expansion of N in N 1536824159.986 * [misc]backup-simplify: Simplify 0 into 0 1536824159.986 * [misc]backup-simplify: Simplify 1 into 1 1536824159.986 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.986 * [misc]backup-simplify: Simplify 1 into 1 1536824159.986 * [misc]taylor: Taking taylor expansion of N in N 1536824159.986 * [misc]backup-simplify: Simplify 0 into 0 1536824159.986 * [misc]backup-simplify: Simplify 1 into 1 1536824159.986 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824159.986 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824159.987 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824159.987 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824159.987 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536824159.987 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.987 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824159.989 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536824159.991 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1536824159.991 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824159.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824159.992 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824159.993 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536824159.997 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1536824159.998 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824159.998 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536824159.998 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1536824159.998 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1536824159.998 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536824159.998 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824159.998 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824159.998 * [misc]taylor: Taking taylor expansion of N in N 1536824159.998 * [misc]backup-simplify: Simplify 0 into 0 1536824159.998 * [misc]backup-simplify: Simplify 1 into 1 1536824159.998 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824159.998 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824159.998 * [misc]taylor: Taking taylor expansion of N in N 1536824159.998 * [misc]backup-simplify: Simplify 0 into 0 1536824159.999 * [misc]backup-simplify: Simplify 1 into 1 1536824159.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824159.999 * [misc]taylor: Taking taylor expansion of 1 in N 1536824159.999 * [misc]backup-simplify: Simplify 1 into 1 1536824159.999 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824159.999 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824159.999 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824159.999 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.000 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824160.000 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.000 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.000 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.001 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824160.001 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824160.001 * [misc]backup-simplify: Simplify (log 1) into 0 1536824160.001 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536824160.001 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824160.001 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824160.001 * [misc]taylor: Taking taylor expansion of N in N 1536824160.001 * [misc]backup-simplify: Simplify 0 into 0 1536824160.001 * [misc]backup-simplify: Simplify 1 into 1 1536824160.001 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824160.001 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.001 * [misc]taylor: Taking taylor expansion of N in N 1536824160.001 * [misc]backup-simplify: Simplify 0 into 0 1536824160.001 * [misc]backup-simplify: Simplify 1 into 1 1536824160.001 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.001 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.002 * [misc]backup-simplify: Simplify 1 into 1 1536824160.002 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.002 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824160.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.002 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.002 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824160.003 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.003 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.003 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824160.004 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824160.004 * [misc]backup-simplify: Simplify (log 1) into 0 1536824160.004 * [misc]backup-simplify: Simplify 0 into 0 1536824160.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1536824160.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536824160.007 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.007 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824160.009 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536824160.014 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536824160.014 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536824160.014 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.015 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824160.015 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1536824160.022 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1536824160.022 * [misc]backup-simplify: Simplify 1/6 into 1/6 1536824160.023 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824160.023 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1536824160.023 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1536824160.023 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536824160.023 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824160.023 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824160.024 * [misc]taylor: Taking taylor expansion of -1 in N 1536824160.024 * [misc]backup-simplify: Simplify -1 into -1 1536824160.024 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824160.024 * [misc]taylor: Taking taylor expansion of N in N 1536824160.024 * [misc]backup-simplify: Simplify 0 into 0 1536824160.024 * [misc]backup-simplify: Simplify 1 into 1 1536824160.024 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824160.024 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.024 * [misc]backup-simplify: Simplify 1 into 1 1536824160.024 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.024 * [misc]taylor: Taking taylor expansion of N in N 1536824160.024 * [misc]backup-simplify: Simplify 0 into 0 1536824160.024 * [misc]backup-simplify: Simplify 1 into 1 1536824160.024 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.024 * [misc]backup-simplify: Simplify (- 1) into -1 1536824160.024 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824160.025 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824160.025 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824160.025 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.025 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.025 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.026 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824160.026 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824160.026 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.026 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.026 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.027 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824160.027 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824160.027 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824160.027 * [misc]backup-simplify: Simplify (log 1) into 0 1536824160.027 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536824160.027 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824160.027 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824160.028 * [misc]taylor: Taking taylor expansion of -1 in N 1536824160.028 * [misc]backup-simplify: Simplify -1 into -1 1536824160.028 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824160.028 * [misc]taylor: Taking taylor expansion of N in N 1536824160.028 * [misc]backup-simplify: Simplify 0 into 0 1536824160.028 * [misc]backup-simplify: Simplify 1 into 1 1536824160.028 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824160.028 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.028 * [misc]backup-simplify: Simplify 1 into 1 1536824160.028 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.028 * [misc]taylor: Taking taylor expansion of N in N 1536824160.028 * [misc]backup-simplify: Simplify 0 into 0 1536824160.028 * [misc]backup-simplify: Simplify 1 into 1 1536824160.028 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.028 * [misc]backup-simplify: Simplify (- 1) into -1 1536824160.028 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824160.028 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824160.029 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824160.029 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.029 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.029 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.029 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824160.030 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824160.030 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.030 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.030 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.031 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824160.031 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824160.031 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824160.031 * [misc]backup-simplify: Simplify (log 1) into 0 1536824160.031 * [misc]backup-simplify: Simplify 0 into 0 1536824160.034 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1536824160.034 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824160.034 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.034 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.035 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.035 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824160.035 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824160.036 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536824160.041 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536824160.041 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536824160.042 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.042 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.042 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824160.043 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824160.043 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1536824160.051 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1536824160.051 * [misc]backup-simplify: Simplify -1/6 into -1/6 1536824160.052 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824160.052 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1536824160.052 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1536824160.052 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1536824160.052 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824160.052 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824160.052 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824160.052 * [misc]taylor: Taking taylor expansion of N in N 1536824160.052 * [misc]backup-simplify: Simplify 0 into 0 1536824160.052 * [misc]backup-simplify: Simplify 1 into 1 1536824160.052 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.052 * [misc]backup-simplify: Simplify 1 into 1 1536824160.053 * [misc]taylor: Taking taylor expansion of N in N 1536824160.053 * [misc]backup-simplify: Simplify 0 into 0 1536824160.053 * [misc]backup-simplify: Simplify 1 into 1 1536824160.053 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.053 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824160.054 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824160.054 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536824160.054 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824160.054 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824160.054 * [misc]taylor: Taking taylor expansion of N in N 1536824160.054 * [misc]backup-simplify: Simplify 0 into 0 1536824160.054 * [misc]backup-simplify: Simplify 1 into 1 1536824160.054 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.054 * [misc]backup-simplify: Simplify 1 into 1 1536824160.054 * [misc]taylor: Taking taylor expansion of N in N 1536824160.054 * [misc]backup-simplify: Simplify 0 into 0 1536824160.054 * [misc]backup-simplify: Simplify 1 into 1 1536824160.054 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.054 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536824160.055 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536824160.055 * [misc]backup-simplify: Simplify 0 into 0 1536824160.055 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824160.055 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.055 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824160.057 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536824160.057 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824160.057 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.057 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824160.058 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536824160.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536824160.059 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536824160.059 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1536824160.059 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1536824160.059 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824160.059 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824160.059 * [misc]taylor: Taking taylor expansion of N in N 1536824160.059 * [misc]backup-simplify: Simplify 0 into 0 1536824160.059 * [misc]backup-simplify: Simplify 1 into 1 1536824160.059 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824160.059 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.059 * [misc]taylor: Taking taylor expansion of N in N 1536824160.059 * [misc]backup-simplify: Simplify 0 into 0 1536824160.059 * [misc]backup-simplify: Simplify 1 into 1 1536824160.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.059 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.059 * [misc]backup-simplify: Simplify 1 into 1 1536824160.060 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.060 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824160.060 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.060 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.061 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824160.061 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.061 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.061 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.062 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824160.062 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824160.062 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536824160.062 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824160.062 * [misc]taylor: Taking taylor expansion of N in N 1536824160.062 * [misc]backup-simplify: Simplify 0 into 0 1536824160.062 * [misc]backup-simplify: Simplify 1 into 1 1536824160.062 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824160.062 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.062 * [misc]taylor: Taking taylor expansion of N in N 1536824160.062 * [misc]backup-simplify: Simplify 0 into 0 1536824160.062 * [misc]backup-simplify: Simplify 1 into 1 1536824160.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.062 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.062 * [misc]backup-simplify: Simplify 1 into 1 1536824160.062 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.063 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824160.063 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.063 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.063 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824160.063 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.064 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.064 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.064 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824160.064 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536824160.064 * [misc]backup-simplify: Simplify 1 into 1 1536824160.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536824160.065 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.065 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.065 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824160.067 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536824160.067 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536824160.067 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824160.068 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1536824160.068 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536824160.068 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824160.068 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824160.068 * [misc]taylor: Taking taylor expansion of -1 in N 1536824160.068 * [misc]backup-simplify: Simplify -1 into -1 1536824160.068 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824160.068 * [misc]taylor: Taking taylor expansion of N in N 1536824160.068 * [misc]backup-simplify: Simplify 0 into 0 1536824160.068 * [misc]backup-simplify: Simplify 1 into 1 1536824160.068 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824160.068 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.068 * [misc]backup-simplify: Simplify 1 into 1 1536824160.068 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.068 * [misc]taylor: Taking taylor expansion of N in N 1536824160.068 * [misc]backup-simplify: Simplify 0 into 0 1536824160.068 * [misc]backup-simplify: Simplify 1 into 1 1536824160.068 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.069 * [misc]backup-simplify: Simplify (- 1) into -1 1536824160.069 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824160.069 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824160.069 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824160.069 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.069 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.070 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.070 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824160.070 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824160.070 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.070 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.071 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.071 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.071 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824160.071 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824160.071 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824160.072 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536824160.072 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824160.072 * [misc]taylor: Taking taylor expansion of -1 in N 1536824160.072 * [misc]backup-simplify: Simplify -1 into -1 1536824160.072 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824160.072 * [misc]taylor: Taking taylor expansion of N in N 1536824160.072 * [misc]backup-simplify: Simplify 0 into 0 1536824160.072 * [misc]backup-simplify: Simplify 1 into 1 1536824160.072 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824160.072 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.072 * [misc]backup-simplify: Simplify 1 into 1 1536824160.072 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.072 * [misc]taylor: Taking taylor expansion of N in N 1536824160.072 * [misc]backup-simplify: Simplify 0 into 0 1536824160.072 * [misc]backup-simplify: Simplify 1 into 1 1536824160.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.072 * [misc]backup-simplify: Simplify (- 1) into -1 1536824160.072 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824160.073 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824160.073 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824160.073 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.073 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.073 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.074 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824160.074 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824160.074 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536824160.074 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.075 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.075 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824160.075 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824160.075 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536824160.076 * [misc]backup-simplify: Simplify 1 into 1 1536824160.076 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536824160.076 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.076 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.076 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824160.077 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824160.078 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536824160.078 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536824160.079 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824160.079 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) 1536824160.079 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1536824160.079 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1536824160.079 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824160.079 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824160.079 * [misc]taylor: Taking taylor expansion of N in N 1536824160.079 * [misc]backup-simplify: Simplify 0 into 0 1536824160.080 * [misc]backup-simplify: Simplify 1 into 1 1536824160.080 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.080 * [misc]backup-simplify: Simplify 1 into 1 1536824160.080 * [misc]taylor: Taking taylor expansion of N in N 1536824160.080 * [misc]backup-simplify: Simplify 0 into 0 1536824160.080 * [misc]backup-simplify: Simplify 1 into 1 1536824160.080 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.080 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.080 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536824160.080 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536824160.080 * [misc]taylor: Taking taylor expansion of N in N 1536824160.080 * [misc]backup-simplify: Simplify 0 into 0 1536824160.080 * [misc]backup-simplify: Simplify 1 into 1 1536824160.080 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.080 * [misc]backup-simplify: Simplify 1 into 1 1536824160.080 * [misc]taylor: Taking taylor expansion of N in N 1536824160.080 * [misc]backup-simplify: Simplify 0 into 0 1536824160.080 * [misc]backup-simplify: Simplify 1 into 1 1536824160.080 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.081 * [misc]backup-simplify: Simplify 1 into 1 1536824160.081 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.081 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536824160.081 * [misc]backup-simplify: Simplify 1 into 1 1536824160.081 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536824160.082 * [misc]backup-simplify: Simplify 0 into 0 1536824160.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.082 * [misc]backup-simplify: Simplify 0 into 0 1536824160.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.083 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.083 * [misc]backup-simplify: Simplify 0 into 0 1536824160.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.084 * [misc]backup-simplify: Simplify 0 into 0 1536824160.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.084 * [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 1536824160.084 * [misc]backup-simplify: Simplify 0 into 0 1536824160.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.085 * [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 1536824160.085 * [misc]backup-simplify: Simplify 0 into 0 1536824160.085 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1536824160.086 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1536824160.086 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1536824160.086 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824160.086 * [misc]taylor: Taking taylor expansion of N in N 1536824160.086 * [misc]backup-simplify: Simplify 0 into 0 1536824160.086 * [misc]backup-simplify: Simplify 1 into 1 1536824160.086 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824160.086 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.086 * [misc]taylor: Taking taylor expansion of N in N 1536824160.086 * [misc]backup-simplify: Simplify 0 into 0 1536824160.086 * [misc]backup-simplify: Simplify 1 into 1 1536824160.086 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.086 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.086 * [misc]backup-simplify: Simplify 1 into 1 1536824160.086 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536824160.086 * [misc]taylor: Taking taylor expansion of N in N 1536824160.086 * [misc]backup-simplify: Simplify 0 into 0 1536824160.086 * [misc]backup-simplify: Simplify 1 into 1 1536824160.086 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536824160.086 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.086 * [misc]taylor: Taking taylor expansion of N in N 1536824160.086 * [misc]backup-simplify: Simplify 0 into 0 1536824160.086 * [misc]backup-simplify: Simplify 1 into 1 1536824160.087 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.087 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.087 * [misc]backup-simplify: Simplify 1 into 1 1536824160.087 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.087 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536824160.087 * [misc]backup-simplify: Simplify 0 into 0 1536824160.087 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.088 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536824160.088 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536824160.088 * [misc]backup-simplify: Simplify 1 into 1 1536824160.088 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.089 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536824160.089 * [misc]backup-simplify: Simplify 1 into 1 1536824160.089 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.090 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536824160.090 * [misc]backup-simplify: Simplify 0 into 0 1536824160.090 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.091 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536824160.091 * [misc]backup-simplify: Simplify 0 into 0 1536824160.091 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.092 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1536824160.092 * [misc]backup-simplify: Simplify 0 into 0 1536824160.092 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1536824160.093 * [misc]backup-simplify: Simplify 0 into 0 1536824160.094 * [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 1536824160.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.094 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1536824160.094 * [misc]backup-simplify: Simplify 0 into 0 1536824160.095 * [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 1536824160.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.096 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1536824160.096 * [misc]backup-simplify: Simplify 0 into 0 1536824160.096 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1536824160.096 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1536824160.096 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1536824160.096 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824160.096 * [misc]taylor: Taking taylor expansion of -1 in N 1536824160.096 * [misc]backup-simplify: Simplify -1 into -1 1536824160.096 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of N in N 1536824160.097 * [misc]backup-simplify: Simplify 0 into 0 1536824160.097 * [misc]backup-simplify: Simplify 1 into 1 1536824160.097 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.097 * [misc]backup-simplify: Simplify 1 into 1 1536824160.097 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of N in N 1536824160.097 * [misc]backup-simplify: Simplify 0 into 0 1536824160.097 * [misc]backup-simplify: Simplify 1 into 1 1536824160.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.097 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of -1 in N 1536824160.097 * [misc]backup-simplify: Simplify -1 into -1 1536824160.097 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of N in N 1536824160.097 * [misc]backup-simplify: Simplify 0 into 0 1536824160.097 * [misc]backup-simplify: Simplify 1 into 1 1536824160.097 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of 1 in N 1536824160.097 * [misc]backup-simplify: Simplify 1 into 1 1536824160.097 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536824160.097 * [misc]taylor: Taking taylor expansion of N in N 1536824160.097 * [misc]backup-simplify: Simplify 0 into 0 1536824160.097 * [misc]backup-simplify: Simplify 1 into 1 1536824160.098 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536824160.098 * [misc]backup-simplify: Simplify (- 1) into -1 1536824160.098 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536824160.098 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536824160.098 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536824160.098 * [misc]backup-simplify: Simplify 0 into 0 1536824160.099 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536824160.099 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.099 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536824160.099 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536824160.099 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536824160.099 * [misc]backup-simplify: Simplify 1 into 1 1536824160.100 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.100 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.100 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.100 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536824160.101 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536824160.101 * [misc]backup-simplify: Simplify -1 into -1 1536824160.101 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.101 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.102 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536824160.102 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536824160.102 * [misc]backup-simplify: Simplify 0 into 0 1536824160.102 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.103 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536824160.106 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536824160.106 * [misc]backup-simplify: Simplify 0 into 0 1536824160.106 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.107 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.107 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.107 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1536824160.108 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1536824160.108 * [misc]backup-simplify: Simplify 0 into 0 1536824160.108 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536824160.109 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.109 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1536824160.110 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1536824160.110 * [misc]backup-simplify: Simplify 0 into 0 1536824160.110 * [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 1536824160.111 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.112 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1536824160.112 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1536824160.112 * [misc]backup-simplify: Simplify 0 into 0 1536824160.113 * [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 1536824160.113 * [misc]backup-simplify: Simplify (- 0) into 0 1536824160.113 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536824160.114 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1536824160.115 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1536824160.115 * [misc]backup-simplify: Simplify 0 into 0 1536824160.115 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1536824160.115 * * * [misc]progress: simplifying candidates 1536824160.115 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1536824160.115 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536824160.116 * * [misc]simplify: iters left: 6 (7 enodes) 1536824160.120 * * [misc]simplify: iters left: 5 (12 enodes) 1536824160.124 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536824160.124 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))))) 1536824160.124 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1536824160.124 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1536824160.125 * * [misc]simplify: iters left: 6 (6 enodes) 1536824160.127 * * [misc]simplify: iters left: 5 (9 enodes) 1536824160.130 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1536824160.130 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))))) 1536824160.130 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1536824160.131 * [enter]simplify: Simplifying (log 1) 1536824160.131 * * [misc]simplify: iters left: 1 (2 enodes) 1536824160.133 * [exit]simplify: Simplified to 0 1536824160.133 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (+ 0 (log (/ (+ 1 N) N)))))) 1536824160.133 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1536824160.133 * [enter]simplify: Simplifying (log (+ 1 N)) 1536824160.133 * * [misc]simplify: iters left: 3 (4 enodes) 1536824160.135 * * [misc]simplify: iters left: 2 (7 enodes) 1536824160.137 * [exit]simplify: Simplified to (log (+ N 1)) 1536824160.137 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (+ (log (+ N 1)) (log (/ 1 N)))))) 1536824160.137 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1536824160.138 * [enter]simplify: Simplifying (log (+ 1 N)) 1536824160.138 * * [misc]simplify: iters left: 3 (4 enodes) 1536824160.140 * * [misc]simplify: iters left: 2 (7 enodes) 1536824160.142 * [exit]simplify: Simplified to (log (+ N 1)) 1536824160.142 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (- (log (+ N 1)) (log N))))) 1536824160.142 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1536824160.142 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1536824160.142 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1536824160.142 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1536824160.142 * * [misc]simplify: iters left: 4 (4 enodes) 1536824160.144 * * [misc]simplify: iters left: 3 (7 enodes) 1536824160.146 * [exit]simplify: Simplified to (/ (+ N 1) N) 1536824160.146 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (/ (+ N 1) N))))) 1536824160.146 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1536824160.146 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1536824160.147 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1536824160.147 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1536824160.147 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1536824160.147 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1536824160.147 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1536824160.147 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1536824160.148 * * [misc]simplify: iters left: 6 (8 enodes) 1536824160.151 * * [misc]simplify: iters left: 5 (13 enodes) 1536824160.157 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1536824160.157 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.157 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1536824160.157 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1536824160.158 * * [misc]simplify: iters left: 6 (8 enodes) 1536824160.161 * * [misc]simplify: iters left: 5 (12 enodes) 1536824160.165 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1536824160.165 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.165 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1536824160.166 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536824160.167 * * [misc]simplify: iters left: 6 (7 enodes) 1536824160.169 * * [misc]simplify: iters left: 5 (10 enodes) 1536824160.173 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1536824160.173 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.173 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1536824160.173 * [enter]simplify: Simplifying (log (sqrt 1)) 1536824160.174 * * [misc]simplify: iters left: 2 (3 enodes) 1536824160.177 * * [misc]simplify: iters left: 1 (5 enodes) 1536824160.177 * [exit]simplify: Simplified to 0 1536824160.177 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.177 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1536824160.178 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824160.178 * * [misc]simplify: iters left: 4 (5 enodes) 1536824160.180 * * [misc]simplify: iters left: 3 (8 enodes) 1536824160.182 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824160.182 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.182 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1536824160.183 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536824160.184 * * [misc]simplify: iters left: 6 (7 enodes) 1536824160.186 * * [misc]simplify: iters left: 5 (10 enodes) 1536824160.189 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1536824160.189 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.189 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1536824160.190 * [enter]simplify: Simplifying (log 1) 1536824160.190 * * [misc]simplify: iters left: 1 (2 enodes) 1536824160.192 * [exit]simplify: Simplified to 0 1536824160.192 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.192 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1536824160.192 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1536824160.192 * * [misc]simplify: iters left: 4 (5 enodes) 1536824160.194 * * [misc]simplify: iters left: 3 (8 enodes) 1536824160.197 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1536824160.197 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ N 1))) (log (sqrt N))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.197 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1536824160.197 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1536824160.197 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1536824160.197 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1536824160.197 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1536824160.198 * * [misc]simplify: iters left: 5 (5 enodes) 1536824160.200 * * [misc]simplify: iters left: 4 (8 enodes) 1536824160.202 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1536824160.202 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.202 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1536824160.202 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1536824160.202 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1536824160.202 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1536824160.203 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1536824160.203 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536824160.204 * * [misc]simplify: iters left: 6 (7 enodes) 1536824160.207 * * [misc]simplify: iters left: 5 (11 enodes) 1536824160.210 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1536824160.210 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.210 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1536824160.211 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1536824160.211 * * [misc]simplify: iters left: 6 (6 enodes) 1536824160.214 * * [misc]simplify: iters left: 5 (9 enodes) 1536824160.216 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1536824160.216 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.216 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1536824160.217 * [enter]simplify: Simplifying (sqrt 1) 1536824160.217 * * [misc]simplify: iters left: 1 (2 enodes) 1536824160.219 * [exit]simplify: Simplified to 1 1536824160.219 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ 1 N) N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.219 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1536824160.219 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824160.219 * * [misc]simplify: iters left: 3 (4 enodes) 1536824160.221 * * [misc]simplify: iters left: 2 (7 enodes) 1536824160.223 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824160.223 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.223 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1536824160.223 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824160.224 * * [misc]simplify: iters left: 3 (4 enodes) 1536824160.226 * * [misc]simplify: iters left: 2 (7 enodes) 1536824160.228 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824160.228 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.228 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1536824160.228 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1536824160.228 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1536824160.229 * * [misc]simplify: iters left: 5 (5 enodes) 1536824160.231 * * [misc]simplify: iters left: 4 (8 enodes) 1536824160.233 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1536824160.233 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ N 1) N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.233 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1536824160.234 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1536824160.234 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1536824160.235 * * [misc]simplify: iters left: 5 (5 enodes) 1536824160.237 * * [misc]simplify: iters left: 4 (8 enodes) 1536824160.239 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1536824160.239 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))))) 1536824160.240 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1536824160.240 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1536824160.240 * * [misc]simplify: iters left: 3 (4 enodes) 1536824160.242 * * [misc]simplify: iters left: 2 (7 enodes) 1536824160.244 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1536824160.244 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))))) 1536824160.244 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1536824160.244 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1536824160.244 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1536824160.247 * * [misc]simplify: iters left: 3 (6 enodes) 1536824160.252 * * [misc]simplify: iters left: 2 (14 enodes) 1536824160.255 * [exit]simplify: Simplified to (+ 1 (pow N 3)) 1536824160.255 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (/ (+ 1 (pow N 3)) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))))) 1536824160.255 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1536824160.256 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1536824160.256 * * [misc]simplify: iters left: 4 (5 enodes) 1536824160.259 * * [misc]simplify: iters left: 3 (9 enodes) 1536824160.260 * * [misc]simplify: iters left: 2 (13 enodes) 1536824160.262 * [exit]simplify: Simplified to (- 1 (* N N)) 1536824160.262 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (/ (- 1 (* N N)) (* N (- 1 N))))))) 1536824160.262 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1536824160.263 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1536824160.263 * * [misc]simplify: iters left: 6 (8 enodes) 1536824160.265 * * [misc]simplify: iters left: 5 (15 enodes) 1536824160.268 * * [misc]simplify: iters left: 4 (27 enodes) 1536824160.275 * * [misc]simplify: iters left: 3 (52 enodes) 1536824160.286 * * [misc]simplify: iters left: 2 (73 enodes) 1536824160.298 * * [misc]simplify: iters left: 1 (90 enodes) 1536824160.327 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1536824160.327 * [misc]simplify: Simplified (2 2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (- (* (* N -1/2) N) (- (log N) N))))) 1536824160.327 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1536824160.327 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536824160.331 * * [misc]simplify: iters left: 6 (15 enodes) 1536824160.341 * * [misc]simplify: iters left: 5 (31 enodes) 1536824160.359 * * [misc]simplify: iters left: 4 (57 enodes) 1536824160.383 * * [misc]simplify: iters left: 3 (89 enodes) 1536824160.420 * * [misc]simplify: iters left: 2 (137 enodes) 1536824160.475 * * [misc]simplify: iters left: 1 (207 enodes) 1536824160.569 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1536824160.569 * [misc]simplify: Simplified (2 2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))) 1536824160.569 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1536824160.569 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536824160.571 * * [misc]simplify: iters left: 6 (15 enodes) 1536824160.580 * * [misc]simplify: iters left: 5 (31 enodes) 1536824160.598 * * [misc]simplify: iters left: 4 (57 enodes) 1536824160.625 * * [misc]simplify: iters left: 3 (89 enodes) 1536824160.649 * * [misc]simplify: iters left: 2 (137 enodes) 1536824160.687 * * [misc]simplify: iters left: 1 (207 enodes) 1536824160.765 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1536824160.765 * [misc]simplify: Simplified (2 2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))) 1536824160.765 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1536824160.766 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536824160.766 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.766 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1536824160.766 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824160.767 * * [misc]simplify: iters left: 6 (17 enodes) 1536824160.779 * * [misc]simplify: iters left: 5 (36 enodes) 1536824160.796 * * [misc]simplify: iters left: 4 (64 enodes) 1536824160.812 * * [misc]simplify: iters left: 3 (100 enodes) 1536824160.849 * * [misc]simplify: iters left: 2 (153 enodes) 1536824160.873 * * [misc]simplify: iters left: 1 (211 enodes) 1536824160.958 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1536824160.958 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824160.958 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1536824160.959 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536824160.960 * * [misc]simplify: iters left: 6 (17 enodes) 1536824160.972 * * [misc]simplify: iters left: 5 (36 enodes) 1536824160.992 * * [misc]simplify: iters left: 4 (64 enodes) 1536824161.014 * * [misc]simplify: iters left: 3 (100 enodes) 1536824161.039 * * [misc]simplify: iters left: 2 (153 enodes) 1536824161.085 * * [misc]simplify: iters left: 1 (211 enodes) 1536824161.182 * [exit]simplify: Simplified to (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) 1536824161.183 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (/ 1/2 N) (- (/ -1/4 (* N N)) (/ (/ -1/6 N) (* N N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824161.183 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1536824161.183 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536824161.183 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (* 1/2 (log (/ (+ 1 N) N))))) 1536824161.183 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1536824161.183 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824161.185 * * [misc]simplify: iters left: 6 (12 enodes) 1536824161.193 * * [misc]simplify: iters left: 5 (26 enodes) 1536824161.207 * * [misc]simplify: iters left: 4 (48 enodes) 1536824161.228 * * [misc]simplify: iters left: 3 (76 enodes) 1536824161.255 * * [misc]simplify: iters left: 2 (103 enodes) 1536824161.290 * * [misc]simplify: iters left: 1 (142 enodes) 1536824161.320 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536824161.320 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824161.320 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1536824161.320 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536824161.321 * * [misc]simplify: iters left: 6 (12 enodes) 1536824161.325 * * [misc]simplify: iters left: 5 (26 enodes) 1536824161.333 * * [misc]simplify: iters left: 4 (48 enodes) 1536824161.352 * * [misc]simplify: iters left: 3 (76 enodes) 1536824161.380 * * [misc]simplify: iters left: 2 (103 enodes) 1536824161.419 * * [misc]simplify: iters left: 1 (142 enodes) 1536824161.472 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536824161.472 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (* 1/2 (log (/ (+ 1 N) N))))) 1536824161.472 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1536824161.472 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536824161.473 * * [misc]simplify: iters left: 4 (4 enodes) 1536824161.474 * * [misc]simplify: iters left: 3 (7 enodes) 1536824161.477 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536824161.477 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (+ 1 (/ 1 N)))))) 1536824161.477 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1536824161.477 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536824161.477 * * [misc]simplify: iters left: 4 (4 enodes) 1536824161.479 * * [misc]simplify: iters left: 3 (7 enodes) 1536824161.481 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536824161.481 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (+ 1 (/ 1 N)))))) 1536824161.481 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1536824161.481 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536824161.482 * * [misc]simplify: iters left: 4 (4 enodes) 1536824161.484 * * [misc]simplify: iters left: 3 (7 enodes) 1536824161.486 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536824161.486 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (* 1/2 (log (+ 1 (/ 1 N)))))) 1536824161.486 * * * [misc]progress: adding candidates to table 1536824162.955 * [misc]progress: [Phase 3 of 3] Extracting. 1536824162.955 * * [misc]regime: Finding splitpoints for: (# # # # #) 1536824162.956 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1536824162.956 * * * * [misc]regimes: Trying to branch on N from (# # # # #) 1536824163.051 * * * [misc]regime: Found split indices: #