1540328214.805 * [misc]progress: [Phase 1 of 3] Setting up. 1540328214.805 * * * [misc]progress: [1/2] Preparing points 1540328214.805 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540328214.841 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.841 * * * * [misc]points: Sampling 134 additional inputs, on iter 1 have 122 / 256 1540328214.862 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.862 * * * * [misc]points: Sampling 74 additional inputs, on iter 2 have 182 / 256 1540328214.883 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.883 * * * * [misc]points: Sampling 36 additional inputs, on iter 3 have 220 / 256 1540328214.891 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.891 * * * * [misc]points: Sampling 15 additional inputs, on iter 4 have 241 / 256 1540328214.894 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.894 * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 252 / 256 1540328214.896 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.896 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 1540328214.898 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.898 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 1540328214.900 * * * * [misc]points: Filtering points with unrepresentable outputs 1540328214.900 * * * * [exit]points: Sampled 257 points with exact outputs 1540328214.900 * * * [misc]progress: [2/2] Setting up program. 1540328214.903 * [misc]progress: [Phase 2 of 3] Improving. 1540328214.903 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1540328214.904 * * [misc]simplify: iters left: 5 (6 enodes) 1540328214.906 * * [misc]simplify: iters left: 4 (11 enodes) 1540328214.907 * * [misc]simplify: iters left: 3 (13 enodes) 1540328214.911 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328214.924 * * [misc]progress: iteration 1 / 4 1540328214.924 * * * [misc]progress: picking best candidate 1540328214.930 * * * * [misc]pick: Picked # 1540328214.930 * * * [misc]progress: localizing error 1540328214.944 * * * [misc]progress: generating rewritten candidates 1540328214.944 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1540328215.004 * * * [misc]progress: generating series expansions 1540328215.004 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1540328215.004 * [misc]backup-simplify: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 1540328215.004 * [misc]approximate: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 1540328215.004 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1540328215.005 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328215.006 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328215.006 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328215.006 * [misc]taylor: Taking taylor expansion of 1 in N 1540328215.006 * [misc]backup-simplify: Simplify 1 into 1 1540328215.006 * [misc]taylor: Taking taylor expansion of N in N 1540328215.006 * [misc]backup-simplify: Simplify 0 into 0 1540328215.006 * [misc]backup-simplify: Simplify 1 into 1 1540328215.006 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328215.006 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.006 * [misc]taylor: Taking taylor expansion of (log N) in N 1540328215.006 * [misc]taylor: Taking taylor expansion of N in N 1540328215.006 * [misc]backup-simplify: Simplify 0 into 0 1540328215.006 * [misc]backup-simplify: Simplify 1 into 1 1540328215.006 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.006 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1540328215.006 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328215.006 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328215.006 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328215.006 * [misc]taylor: Taking taylor expansion of 1 in N 1540328215.006 * [misc]backup-simplify: Simplify 1 into 1 1540328215.006 * [misc]taylor: Taking taylor expansion of N in N 1540328215.006 * [misc]backup-simplify: Simplify 0 into 0 1540328215.006 * [misc]backup-simplify: Simplify 1 into 1 1540328215.007 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328215.007 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.007 * [misc]taylor: Taking taylor expansion of (log N) in N 1540328215.007 * [misc]taylor: Taking taylor expansion of N in N 1540328215.007 * [misc]backup-simplify: Simplify 0 into 0 1540328215.007 * [misc]backup-simplify: Simplify 1 into 1 1540328215.007 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.007 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328215.007 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540328215.007 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1540328215.007 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540328215.008 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328215.009 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328215.011 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540328215.011 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.011 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328215.011 * [misc]backup-simplify: Simplify 1 into 1 1540328215.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328215.014 * [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 1540328215.017 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540328215.017 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.017 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540328215.017 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328215.017 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1540328215.017 * [misc]backup-simplify: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 1540328215.017 * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 1540328215.017 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1540328215.017 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328215.017 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328215.017 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328215.017 * [misc]taylor: Taking taylor expansion of 1 in N 1540328215.017 * [misc]backup-simplify: Simplify 1 into 1 1540328215.017 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328215.017 * [misc]taylor: Taking taylor expansion of N in N 1540328215.017 * [misc]backup-simplify: Simplify 0 into 0 1540328215.017 * [misc]backup-simplify: Simplify 1 into 1 1540328215.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328215.018 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328215.018 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.018 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1540328215.018 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328215.018 * [misc]taylor: Taking taylor expansion of N in N 1540328215.018 * [misc]backup-simplify: Simplify 0 into 0 1540328215.018 * [misc]backup-simplify: Simplify 1 into 1 1540328215.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328215.018 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.018 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1540328215.018 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328215.018 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328215.018 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328215.018 * [misc]taylor: Taking taylor expansion of 1 in N 1540328215.018 * [misc]backup-simplify: Simplify 1 into 1 1540328215.018 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328215.018 * [misc]taylor: Taking taylor expansion of N in N 1540328215.018 * [misc]backup-simplify: Simplify 0 into 0 1540328215.018 * [misc]backup-simplify: Simplify 1 into 1 1540328215.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328215.019 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328215.019 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.019 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1540328215.019 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328215.019 * [misc]taylor: Taking taylor expansion of N in N 1540328215.019 * [misc]backup-simplify: Simplify 0 into 0 1540328215.019 * [misc]backup-simplify: Simplify 1 into 1 1540328215.019 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328215.019 * [misc]backup-simplify: Simplify (log 1) into 0 1540328215.019 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328215.019 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328215.019 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1540328215.020 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1540328215.020 * [misc]backup-simplify: Simplify 0 into 0 1540328215.020 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328215.020 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328215.023 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328215.023 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328215.026 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540328215.026 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.026 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328215.026 * [misc]backup-simplify: Simplify 1 into 1 1540328215.027 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328215.031 * [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 1540328215.032 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.036 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540328215.037 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.037 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540328215.037 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328215.037 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.038 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328215.045 * [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 1540328215.046 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.054 * [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 1540328215.054 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.054 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540328215.054 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328215.055 * [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)))) 1540328215.056 * [misc]backup-simplify: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 1540328215.056 * [misc]approximate: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 1540328215.056 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1540328215.056 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328215.056 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328215.056 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328215.056 * [misc]taylor: Taking taylor expansion of 1 in N 1540328215.056 * [misc]backup-simplify: Simplify 1 into 1 1540328215.056 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328215.056 * [misc]taylor: Taking taylor expansion of -1 in N 1540328215.056 * [misc]backup-simplify: Simplify -1 into -1 1540328215.056 * [misc]taylor: Taking taylor expansion of N in N 1540328215.056 * [misc]backup-simplify: Simplify 0 into 0 1540328215.056 * [misc]backup-simplify: Simplify 1 into 1 1540328215.056 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328215.056 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328215.057 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328215.057 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1540328215.057 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328215.057 * [misc]taylor: Taking taylor expansion of -1 in N 1540328215.057 * [misc]backup-simplify: Simplify -1 into -1 1540328215.057 * [misc]taylor: Taking taylor expansion of N in N 1540328215.057 * [misc]backup-simplify: Simplify 0 into 0 1540328215.057 * [misc]backup-simplify: Simplify 1 into 1 1540328215.057 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328215.057 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328215.057 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1540328215.057 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328215.057 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328215.057 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328215.057 * [misc]taylor: Taking taylor expansion of 1 in N 1540328215.057 * [misc]backup-simplify: Simplify 1 into 1 1540328215.057 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328215.057 * [misc]taylor: Taking taylor expansion of -1 in N 1540328215.057 * [misc]backup-simplify: Simplify -1 into -1 1540328215.057 * [misc]taylor: Taking taylor expansion of N in N 1540328215.057 * [misc]backup-simplify: Simplify 0 into 0 1540328215.058 * [misc]backup-simplify: Simplify 1 into 1 1540328215.058 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328215.058 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328215.058 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328215.058 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1540328215.058 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328215.058 * [misc]taylor: Taking taylor expansion of -1 in N 1540328215.058 * [misc]backup-simplify: Simplify -1 into -1 1540328215.058 * [misc]taylor: Taking taylor expansion of N in N 1540328215.058 * [misc]backup-simplify: Simplify 0 into 0 1540328215.058 * [misc]backup-simplify: Simplify 1 into 1 1540328215.058 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328215.059 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328215.059 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328215.059 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328215.060 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1540328215.060 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1540328215.060 * [misc]backup-simplify: Simplify 0 into 0 1540328215.060 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328215.061 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328215.063 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540328215.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328215.066 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540328215.066 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.066 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1540328215.067 * [misc]backup-simplify: Simplify -1 into -1 1540328215.067 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328215.072 * [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 1540328215.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.077 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540328215.077 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.077 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540328215.077 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328215.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328215.086 * [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 1540328215.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328215.101 * [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 1540328215.101 * [misc]backup-simplify: Simplify (- 0) into 0 1540328215.101 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1540328215.101 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540328215.102 * [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)))) 1540328215.102 * * * [misc]progress: simplifying candidates 1540328215.102 * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # 1540328215.103 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1540328215.104 * * [misc]simplify: iters left: 6 (10 enodes) 1540328215.109 * * [misc]simplify: iters left: 5 (19 enodes) 1540328215.116 * * [misc]simplify: iters left: 4 (26 enodes) 1540328215.125 * * [misc]simplify: iters left: 3 (32 enodes) 1540328215.133 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.134 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1540328215.134 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1540328215.135 * * [misc]simplify: iters left: 6 (7 enodes) 1540328215.138 * * [misc]simplify: iters left: 5 (12 enodes) 1540328215.143 * * [misc]simplify: iters left: 4 (19 enodes) 1540328215.154 * * [misc]simplify: iters left: 3 (38 enodes) 1540328215.166 * * [misc]simplify: iters left: 2 (46 enodes) 1540328215.174 * [exit]simplify: Simplified to 0 1540328215.174 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540328215.174 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # 1540328215.174 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1540328215.175 * * [misc]simplify: iters left: 6 (9 enodes) 1540328215.179 * * [misc]simplify: iters left: 5 (14 enodes) 1540328215.184 * * [misc]simplify: iters left: 4 (18 enodes) 1540328215.190 * * [misc]simplify: iters left: 3 (23 enodes) 1540328215.197 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.197 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1540328215.197 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1540328215.198 * * [misc]simplify: iters left: 5 (6 enodes) 1540328215.200 * * [misc]simplify: iters left: 4 (8 enodes) 1540328215.204 * * [misc]simplify: iters left: 3 (14 enodes) 1540328215.210 * * [misc]simplify: iters left: 2 (20 enodes) 1540328215.215 * * [misc]simplify: iters left: 1 (22 enodes) 1540328215.219 * [exit]simplify: Simplified to 0 1540328215.219 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540328215.219 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # 1540328215.220 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) 1540328215.221 * * [misc]simplify: iters left: 6 (9 enodes) 1540328215.227 * * [misc]simplify: iters left: 5 (19 enodes) 1540328215.235 * * [misc]simplify: iters left: 4 (26 enodes) 1540328215.249 * * [misc]simplify: iters left: 3 (37 enodes) 1540328215.258 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.258 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1540328215.258 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1540328215.259 * * [misc]simplify: iters left: 4 (6 enodes) 1540328215.261 * * [misc]simplify: iters left: 3 (11 enodes) 1540328215.268 * * [misc]simplify: iters left: 2 (21 enodes) 1540328215.275 * * [misc]simplify: iters left: 1 (30 enodes) 1540328215.281 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1540328215.281 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1540328215.281 * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # 1540328215.281 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1540328215.282 * * [misc]simplify: iters left: 6 (9 enodes) 1540328215.286 * * [misc]simplify: iters left: 5 (18 enodes) 1540328215.294 * * [misc]simplify: iters left: 4 (24 enodes) 1540328215.303 * * [misc]simplify: iters left: 3 (29 enodes) 1540328215.310 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.310 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1540328215.310 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1540328215.312 * * [misc]simplify: iters left: 6 (7 enodes) 1540328215.315 * * [misc]simplify: iters left: 5 (12 enodes) 1540328215.320 * * [misc]simplify: iters left: 4 (19 enodes) 1540328215.331 * * [misc]simplify: iters left: 3 (38 enodes) 1540328215.343 * * [misc]simplify: iters left: 2 (46 enodes) 1540328215.351 * [exit]simplify: Simplified to 0 1540328215.351 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540328215.351 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # 1540328215.351 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1540328215.353 * * [misc]simplify: iters left: 6 (8 enodes) 1540328215.357 * * [misc]simplify: iters left: 5 (13 enodes) 1540328215.362 * * [misc]simplify: iters left: 4 (16 enodes) 1540328215.368 * * [misc]simplify: iters left: 3 (22 enodes) 1540328215.374 * * [misc]simplify: iters left: 2 (25 enodes) 1540328215.383 * * [misc]simplify: iters left: 1 (40 enodes) 1540328215.406 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.406 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1540328215.407 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1540328215.408 * * [misc]simplify: iters left: 5 (6 enodes) 1540328215.410 * * [misc]simplify: iters left: 4 (8 enodes) 1540328215.414 * * [misc]simplify: iters left: 3 (14 enodes) 1540328215.419 * * [misc]simplify: iters left: 2 (20 enodes) 1540328215.424 * * [misc]simplify: iters left: 1 (22 enodes) 1540328215.427 * [exit]simplify: Simplified to 0 1540328215.427 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540328215.427 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # 1540328215.428 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) 1540328215.429 * * [misc]simplify: iters left: 6 (8 enodes) 1540328215.433 * * [misc]simplify: iters left: 5 (18 enodes) 1540328215.441 * * [misc]simplify: iters left: 4 (24 enodes) 1540328215.451 * * [misc]simplify: iters left: 3 (33 enodes) 1540328215.458 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.458 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1540328215.459 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1540328215.459 * * [misc]simplify: iters left: 4 (6 enodes) 1540328215.462 * * [misc]simplify: iters left: 3 (11 enodes) 1540328215.469 * * [misc]simplify: iters left: 2 (21 enodes) 1540328215.477 * * [misc]simplify: iters left: 1 (30 enodes) 1540328215.483 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1540328215.484 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1540328215.484 * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # 1540328215.484 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1540328215.485 * * [misc]simplify: iters left: 6 (9 enodes) 1540328215.489 * * [misc]simplify: iters left: 5 (20 enodes) 1540328215.497 * * [misc]simplify: iters left: 4 (27 enodes) 1540328215.508 * * [misc]simplify: iters left: 3 (36 enodes) 1540328215.515 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.516 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1540328215.516 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1540328215.517 * * [misc]simplify: iters left: 6 (7 enodes) 1540328215.520 * * [misc]simplify: iters left: 5 (12 enodes) 1540328215.525 * * [misc]simplify: iters left: 4 (19 enodes) 1540328215.535 * * [misc]simplify: iters left: 3 (38 enodes) 1540328215.549 * * [misc]simplify: iters left: 2 (46 enodes) 1540328215.557 * [exit]simplify: Simplified to 0 1540328215.557 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540328215.557 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # 1540328215.557 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) 1540328215.558 * * [misc]simplify: iters left: 6 (8 enodes) 1540328215.562 * * [misc]simplify: iters left: 5 (15 enodes) 1540328215.567 * * [misc]simplify: iters left: 4 (19 enodes) 1540328215.575 * * [misc]simplify: iters left: 3 (26 enodes) 1540328215.581 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.581 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1540328215.581 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1540328215.582 * * [misc]simplify: iters left: 5 (6 enodes) 1540328215.584 * * [misc]simplify: iters left: 4 (8 enodes) 1540328215.588 * * [misc]simplify: iters left: 3 (14 enodes) 1540328215.594 * * [misc]simplify: iters left: 2 (20 enodes) 1540328215.599 * * [misc]simplify: iters left: 1 (22 enodes) 1540328215.602 * [exit]simplify: Simplified to 0 1540328215.602 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540328215.602 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # 1540328215.603 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) 1540328215.604 * * [misc]simplify: iters left: 6 (7 enodes) 1540328215.608 * * [misc]simplify: iters left: 5 (17 enodes) 1540328215.614 * * [misc]simplify: iters left: 4 (24 enodes) 1540328215.620 * * [misc]simplify: iters left: 3 (36 enodes) 1540328215.624 * * [misc]simplify: iters left: 2 (39 enodes) 1540328215.628 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.628 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1540328215.629 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1540328215.629 * * [misc]simplify: iters left: 4 (6 enodes) 1540328215.630 * * [misc]simplify: iters left: 3 (11 enodes) 1540328215.634 * * [misc]simplify: iters left: 2 (21 enodes) 1540328215.638 * * [misc]simplify: iters left: 1 (30 enodes) 1540328215.641 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1540328215.641 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1540328215.641 * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # 1540328215.641 * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # 1540328215.641 * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # 1540328215.642 * [enter]simplify: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) 1540328215.642 * * [misc]simplify: iters left: 4 (4 enodes) 1540328215.643 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1540328215.643 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328215.643 * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # 1540328215.643 * [enter]simplify: Simplifying (sqrt (log1p N)) 1540328215.643 * * [misc]simplify: iters left: 2 (3 enodes) 1540328215.644 * [exit]simplify: Simplified to (sqrt (log1p N)) 1540328215.644 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) 1540328215.644 * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # 1540328215.644 * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # 1540328215.644 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1540328215.644 * * [misc]simplify: iters left: 4 (4 enodes) 1540328215.645 * * [misc]simplify: iters left: 3 (7 enodes) 1540328215.646 * [exit]simplify: Simplified to (/ (+ N 1) N) 1540328215.646 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1540328215.646 * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # 1540328215.646 * [enter]simplify: Simplifying (/ (exp (log1p N)) N) 1540328215.646 * * [misc]simplify: iters left: 4 (4 enodes) 1540328215.647 * [exit]simplify: Simplified to (/ (exp (log1p N)) N) 1540328215.647 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N))) 1540328215.647 * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # 1540328215.647 * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # 1540328215.647 * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # 1540328215.647 * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # 1540328215.648 * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # 1540328215.648 * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) 1540328215.648 * * [misc]simplify: iters left: 4 (6 enodes) 1540328215.649 * * [misc]simplify: iters left: 3 (7 enodes) 1540328215.651 * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) 1540328215.651 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1540328215.651 * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) 1540328215.653 * * [misc]simplify: iters left: 4 (6 enodes) 1540328215.655 * * [misc]simplify: iters left: 3 (8 enodes) 1540328215.656 * * [misc]simplify: iters left: 2 (9 enodes) 1540328215.658 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1540328215.658 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1540328215.658 * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # 1540328215.658 * [enter]simplify: Simplifying (- (log1p N) (log N)) 1540328215.659 * * [misc]simplify: iters left: 3 (4 enodes) 1540328215.659 * * [misc]simplify: iters left: 2 (6 enodes) 1540328215.660 * * [misc]simplify: iters left: 1 (7 enodes) 1540328215.662 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540328215.662 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1540328215.662 * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # 1540328215.662 * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # 1540328215.662 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1540328215.662 * * [misc]simplify: iters left: 6 (8 enodes) 1540328215.664 * * [misc]simplify: iters left: 5 (15 enodes) 1540328215.668 * * [misc]simplify: iters left: 4 (29 enodes) 1540328215.676 * * [misc]simplify: iters left: 3 (55 enodes) 1540328215.691 * * [misc]simplify: iters left: 2 (104 enodes) 1540328215.709 * * [misc]simplify: iters left: 1 (143 enodes) 1540328215.760 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1540328215.760 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1540328215.760 * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # 1540328215.760 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540328215.761 * * [misc]simplify: iters left: 6 (15 enodes) 1540328215.766 * * [misc]simplify: iters left: 5 (32 enodes) 1540328215.777 * * [misc]simplify: iters left: 4 (61 enodes) 1540328215.793 * * [misc]simplify: iters left: 3 (103 enodes) 1540328215.845 * * [misc]simplify: iters left: 2 (168 enodes) 1540328215.906 * * [misc]simplify: iters left: 1 (248 enodes) 1540328216.068 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540328216.068 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.068 * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # 1540328216.068 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540328216.070 * * [misc]simplify: iters left: 6 (15 enodes) 1540328216.080 * * [misc]simplify: iters left: 5 (32 enodes) 1540328216.100 * * [misc]simplify: iters left: 4 (61 enodes) 1540328216.131 * * [misc]simplify: iters left: 3 (103 enodes) 1540328216.186 * * [misc]simplify: iters left: 2 (168 enodes) 1540328216.245 * * [misc]simplify: iters left: 1 (248 enodes) 1540328216.353 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540328216.353 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.353 * * * [misc]progress: adding candidates to table 1540328216.802 * * [misc]progress: iteration 2 / 4 1540328216.803 * * * [misc]progress: picking best candidate 1540328216.826 * * * * [misc]pick: Picked # 1540328216.826 * * * [misc]progress: localizing error 1540328216.867 * * * [misc]progress: generating rewritten candidates 1540328216.867 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540328216.892 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) 1540328216.893 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540328216.894 * * * [misc]progress: generating series expansions 1540328216.894 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540328216.894 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1540328216.894 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1540328216.894 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1540328216.894 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.894 * [misc]taylor: Taking taylor expansion of N in N 1540328216.894 * [misc]backup-simplify: Simplify 0 into 0 1540328216.894 * [misc]backup-simplify: Simplify 1 into 1 1540328216.894 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.894 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.894 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1540328216.894 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.895 * [misc]taylor: Taking taylor expansion of N in N 1540328216.895 * [misc]backup-simplify: Simplify 0 into 0 1540328216.895 * [misc]backup-simplify: Simplify 1 into 1 1540328216.895 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.895 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.895 * [misc]backup-simplify: Simplify 1 into 1 1540328216.895 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540328216.895 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328216.895 * [misc]backup-simplify: Simplify 0 into 0 1540328216.895 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540328216.895 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.896 * [misc]backup-simplify: Simplify 0 into 0 1540328216.896 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1540328216.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.896 * [misc]backup-simplify: Simplify 0 into 0 1540328216.896 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1540328216.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.896 * [misc]backup-simplify: Simplify 0 into 0 1540328216.897 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1540328216.897 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.897 * [misc]backup-simplify: Simplify 0 into 0 1540328216.897 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1540328216.898 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.898 * [misc]backup-simplify: Simplify 0 into 0 1540328216.898 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1540328216.898 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1540328216.898 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1540328216.898 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.898 * [misc]taylor: Taking taylor expansion of N in N 1540328216.898 * [misc]backup-simplify: Simplify 0 into 0 1540328216.898 * [misc]backup-simplify: Simplify 1 into 1 1540328216.898 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.898 * [misc]taylor: Taking taylor expansion of N in N 1540328216.898 * [misc]backup-simplify: Simplify 0 into 0 1540328216.898 * [misc]backup-simplify: Simplify 1 into 1 1540328216.898 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.898 * [misc]backup-simplify: Simplify 1 into 1 1540328216.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540328216.899 * [misc]backup-simplify: Simplify 0 into 0 1540328216.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540328216.899 * [misc]backup-simplify: Simplify 0 into 0 1540328216.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1540328216.899 * [misc]backup-simplify: Simplify 0 into 0 1540328216.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1540328216.899 * [misc]backup-simplify: Simplify 0 into 0 1540328216.900 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1540328216.900 * [misc]backup-simplify: Simplify 0 into 0 1540328216.900 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1540328216.900 * [misc]backup-simplify: Simplify 0 into 0 1540328216.900 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1540328216.900 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1540328216.900 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1540328216.900 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.900 * [misc]taylor: Taking taylor expansion of N in N 1540328216.900 * [misc]backup-simplify: Simplify 0 into 0 1540328216.900 * [misc]backup-simplify: Simplify 1 into 1 1540328216.900 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.900 * [misc]taylor: Taking taylor expansion of N in N 1540328216.900 * [misc]backup-simplify: Simplify 0 into 0 1540328216.900 * [misc]backup-simplify: Simplify 1 into 1 1540328216.900 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.900 * [misc]backup-simplify: Simplify 1 into 1 1540328216.901 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540328216.901 * [misc]backup-simplify: Simplify 0 into 0 1540328216.901 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540328216.901 * [misc]backup-simplify: Simplify 0 into 0 1540328216.901 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1540328216.901 * [misc]backup-simplify: Simplify 0 into 0 1540328216.901 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1540328216.901 * [misc]backup-simplify: Simplify 0 into 0 1540328216.902 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1540328216.902 * [misc]backup-simplify: Simplify 0 into 0 1540328216.902 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1540328216.902 * [misc]backup-simplify: Simplify 0 into 0 1540328216.902 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1540328216.902 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) 1540328216.902 * [misc]backup-simplify: Simplify (/ 1/3 N) into (/ 1/3 N) 1540328216.902 * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 1540328216.902 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1540328216.902 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.902 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.902 * [misc]taylor: Taking taylor expansion of N in N 1540328216.902 * [misc]backup-simplify: Simplify 0 into 0 1540328216.902 * [misc]backup-simplify: Simplify 1 into 1 1540328216.902 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1540328216.902 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1540328216.903 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.903 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.903 * [misc]taylor: Taking taylor expansion of N in N 1540328216.903 * [misc]backup-simplify: Simplify 0 into 0 1540328216.903 * [misc]backup-simplify: Simplify 1 into 1 1540328216.903 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1540328216.903 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.903 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1540328216.903 * [misc]backup-simplify: Simplify 0 into 0 1540328216.903 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.903 * [misc]backup-simplify: Simplify 0 into 0 1540328216.903 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.903 * [misc]backup-simplify: Simplify 0 into 0 1540328216.904 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.904 * [misc]backup-simplify: Simplify 0 into 0 1540328216.904 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.904 * [misc]backup-simplify: Simplify 0 into 0 1540328216.904 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.904 * [misc]backup-simplify: Simplify 0 into 0 1540328216.904 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1540328216.905 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 1540328216.905 * [misc]approximate: Taking taylor expansion of (* 1/3 N) in (N) around 0 1540328216.905 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1540328216.905 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.905 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.905 * [misc]taylor: Taking taylor expansion of N in N 1540328216.905 * [misc]backup-simplify: Simplify 0 into 0 1540328216.905 * [misc]backup-simplify: Simplify 1 into 1 1540328216.905 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1540328216.905 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.905 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.905 * [misc]taylor: Taking taylor expansion of N in N 1540328216.905 * [misc]backup-simplify: Simplify 0 into 0 1540328216.905 * [misc]backup-simplify: Simplify 1 into 1 1540328216.905 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1540328216.905 * [misc]backup-simplify: Simplify 0 into 0 1540328216.905 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1540328216.905 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.905 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1540328216.905 * [misc]backup-simplify: Simplify 0 into 0 1540328216.905 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540328216.905 * [misc]backup-simplify: Simplify 0 into 0 1540328216.906 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540328216.906 * [misc]backup-simplify: Simplify 0 into 0 1540328216.906 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1540328216.906 * [misc]backup-simplify: Simplify 0 into 0 1540328216.906 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1540328216.906 * [misc]backup-simplify: Simplify 0 into 0 1540328216.907 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1540328216.907 * [misc]backup-simplify: Simplify 0 into 0 1540328216.907 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1540328216.907 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 1540328216.907 * [misc]approximate: Taking taylor expansion of (* -1/3 N) in (N) around 0 1540328216.907 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1540328216.907 * [misc]taylor: Taking taylor expansion of -1/3 in N 1540328216.907 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540328216.907 * [misc]taylor: Taking taylor expansion of N in N 1540328216.907 * [misc]backup-simplify: Simplify 0 into 0 1540328216.907 * [misc]backup-simplify: Simplify 1 into 1 1540328216.907 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1540328216.907 * [misc]taylor: Taking taylor expansion of -1/3 in N 1540328216.907 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540328216.907 * [misc]taylor: Taking taylor expansion of N in N 1540328216.907 * [misc]backup-simplify: Simplify 0 into 0 1540328216.907 * [misc]backup-simplify: Simplify 1 into 1 1540328216.907 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 1540328216.907 * [misc]backup-simplify: Simplify 0 into 0 1540328216.907 * [misc]backup-simplify: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 1540328216.907 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540328216.907 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 1540328216.908 * [misc]backup-simplify: Simplify 0 into 0 1540328216.908 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540328216.908 * [misc]backup-simplify: Simplify 0 into 0 1540328216.908 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540328216.908 * [misc]backup-simplify: Simplify 0 into 0 1540328216.908 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1540328216.908 * [misc]backup-simplify: Simplify 0 into 0 1540328216.909 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1540328216.909 * [misc]backup-simplify: Simplify 0 into 0 1540328216.909 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1540328216.909 * [misc]backup-simplify: Simplify 0 into 0 1540328216.909 * [misc]backup-simplify: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 1540328216.909 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540328216.909 * [misc]backup-simplify: Simplify (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) into (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1540328216.909 * [misc]approximate: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in (N) around 0 1540328216.909 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1540328216.909 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1540328216.909 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1540328216.909 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of N in N 1540328216.910 * [misc]backup-simplify: Simplify 0 into 0 1540328216.910 * [misc]backup-simplify: Simplify 1 into 1 1540328216.910 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.910 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.910 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.910 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.910 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of N in N 1540328216.910 * [misc]backup-simplify: Simplify 0 into 0 1540328216.910 * [misc]backup-simplify: Simplify 1 into 1 1540328216.910 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.910 * [misc]taylor: Taking taylor expansion of 1/2 in N 1540328216.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540328216.910 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of N in N 1540328216.910 * [misc]backup-simplify: Simplify 0 into 0 1540328216.910 * [misc]backup-simplify: Simplify 1 into 1 1540328216.910 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.910 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1540328216.910 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1540328216.910 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.910 * [misc]taylor: Taking taylor expansion of N in N 1540328216.910 * [misc]backup-simplify: Simplify 0 into 0 1540328216.910 * [misc]backup-simplify: Simplify 1 into 1 1540328216.910 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.911 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1540328216.911 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1540328216.911 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.911 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.911 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328216.911 * [misc]taylor: Taking taylor expansion of N in N 1540328216.911 * [misc]backup-simplify: Simplify 0 into 0 1540328216.911 * [misc]backup-simplify: Simplify 1 into 1 1540328216.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.911 * [misc]taylor: Taking taylor expansion of 1/2 in N 1540328216.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540328216.911 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328216.911 * [misc]taylor: Taking taylor expansion of N in N 1540328216.911 * [misc]backup-simplify: Simplify 0 into 0 1540328216.911 * [misc]backup-simplify: Simplify 1 into 1 1540328216.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328216.911 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1540328216.911 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540328216.911 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1540328216.912 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540328216.912 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.912 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328216.912 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1540328216.912 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540328216.912 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540328216.912 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540328216.912 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328216.912 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1540328216.913 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540328216.913 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328216.913 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.913 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1540328216.913 * [misc]backup-simplify: Simplify (- 0) into 0 1540328216.913 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328216.914 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540328216.914 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328216.914 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1540328216.914 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328216.914 * [misc]backup-simplify: Simplify 1 into 1 1540328216.915 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1540328216.915 * [misc]backup-simplify: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) into (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1540328216.915 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in (N) around 0 1540328216.915 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1540328216.915 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1540328216.915 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of N in N 1540328216.915 * [misc]backup-simplify: Simplify 0 into 0 1540328216.915 * [misc]backup-simplify: Simplify 1 into 1 1540328216.915 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.915 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.915 * [misc]taylor: Taking taylor expansion of N in N 1540328216.915 * [misc]backup-simplify: Simplify 0 into 0 1540328216.915 * [misc]backup-simplify: Simplify 1 into 1 1540328216.915 * [misc]taylor: Taking taylor expansion of 1/2 in N 1540328216.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540328216.915 * [misc]taylor: Taking taylor expansion of N in N 1540328216.915 * [misc]backup-simplify: Simplify 0 into 0 1540328216.915 * [misc]backup-simplify: Simplify 1 into 1 1540328216.915 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1540328216.915 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1540328216.915 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of N in N 1540328216.915 * [misc]backup-simplify: Simplify 0 into 0 1540328216.915 * [misc]backup-simplify: Simplify 1 into 1 1540328216.915 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1540328216.915 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.915 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.915 * [misc]taylor: Taking taylor expansion of N in N 1540328216.915 * [misc]backup-simplify: Simplify 0 into 0 1540328216.916 * [misc]backup-simplify: Simplify 1 into 1 1540328216.916 * [misc]taylor: Taking taylor expansion of 1/2 in N 1540328216.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540328216.916 * [misc]taylor: Taking taylor expansion of N in N 1540328216.916 * [misc]backup-simplify: Simplify 0 into 0 1540328216.916 * [misc]backup-simplify: Simplify 1 into 1 1540328216.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328216.916 * [misc]backup-simplify: Simplify 0 into 0 1540328216.916 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328216.916 * [misc]backup-simplify: Simplify 1 into 1 1540328216.916 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.916 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1540328216.916 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540328216.916 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540328216.916 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1540328216.917 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540328216.917 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328216.917 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1540328216.917 * [misc]backup-simplify: Simplify (- 0) into 0 1540328216.917 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540328216.917 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540328216.917 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1540328216.917 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540328216.917 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.918 * [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)))) 1540328216.918 * [misc]backup-simplify: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1540328216.918 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in (N) around 0 1540328216.918 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1540328216.918 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1540328216.918 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1540328216.918 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.918 * [misc]taylor: Taking taylor expansion of N in N 1540328216.918 * [misc]backup-simplify: Simplify 0 into 0 1540328216.918 * [misc]backup-simplify: Simplify 1 into 1 1540328216.918 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1540328216.918 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1540328216.918 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1540328216.918 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.918 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.918 * [misc]taylor: Taking taylor expansion of N in N 1540328216.918 * [misc]backup-simplify: Simplify 0 into 0 1540328216.918 * [misc]backup-simplify: Simplify 1 into 1 1540328216.918 * [misc]taylor: Taking taylor expansion of 1/2 in N 1540328216.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540328216.918 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1540328216.918 * [misc]taylor: Taking taylor expansion of -1 in N 1540328216.918 * [misc]backup-simplify: Simplify -1 into -1 1540328216.918 * [misc]taylor: Taking taylor expansion of N in N 1540328216.918 * [misc]backup-simplify: Simplify 0 into 0 1540328216.918 * [misc]backup-simplify: Simplify 1 into 1 1540328216.918 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1540328216.919 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1540328216.919 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1540328216.919 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1540328216.919 * [misc]taylor: Taking taylor expansion of N in N 1540328216.919 * [misc]backup-simplify: Simplify 0 into 0 1540328216.919 * [misc]backup-simplify: Simplify 1 into 1 1540328216.919 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1540328216.919 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1540328216.919 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1540328216.919 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328216.919 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328216.919 * [misc]taylor: Taking taylor expansion of N in N 1540328216.919 * [misc]backup-simplify: Simplify 0 into 0 1540328216.919 * [misc]backup-simplify: Simplify 1 into 1 1540328216.919 * [misc]taylor: Taking taylor expansion of 1/2 in N 1540328216.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540328216.919 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1540328216.919 * [misc]taylor: Taking taylor expansion of -1 in N 1540328216.919 * [misc]backup-simplify: Simplify -1 into -1 1540328216.919 * [misc]taylor: Taking taylor expansion of N in N 1540328216.919 * [misc]backup-simplify: Simplify 0 into 0 1540328216.919 * [misc]backup-simplify: Simplify 1 into 1 1540328216.919 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540328216.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328216.919 * [misc]backup-simplify: Simplify 0 into 0 1540328216.919 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1540328216.919 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328216.919 * [misc]backup-simplify: Simplify -1 into -1 1540328216.920 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328216.920 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1540328216.920 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1540328216.920 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540328216.920 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1540328216.920 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1540328216.920 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540328216.920 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328216.920 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1540328216.921 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540328216.921 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1540328216.921 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540328216.921 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540328216.921 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1540328216.921 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540328216.921 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1540328216.921 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540328216.922 * [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)))) 1540328216.922 * * * [misc]progress: simplifying candidates 1540328216.922 * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # 1540328216.922 * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # 1540328216.922 * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # 1540328216.922 * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # 1540328216.922 * [enter]simplify: Simplifying (- 2) 1540328216.922 * * [misc]simplify: iters left: 2 (2 enodes) 1540328216.923 * * [misc]simplify: iters left: 1 (3 enodes) 1540328216.923 * [exit]simplify: Simplified to -2 1540328216.923 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.924 * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # 1540328216.924 * [enter]simplify: Simplifying (- 1) 1540328216.924 * * [misc]simplify: iters left: 2 (2 enodes) 1540328216.925 * * [misc]simplify: iters left: 1 (5 enodes) 1540328216.925 * [exit]simplify: Simplified to -1 1540328216.925 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.925 * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # 1540328216.925 * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # 1540328216.925 * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # 1540328216.925 * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # 1540328216.925 * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # 1540328216.925 * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # 1540328216.926 * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # 1540328216.927 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1540328216.927 * * [misc]simplify: iters left: 3 (5 enodes) 1540328216.928 * * [misc]simplify: iters left: 2 (8 enodes) 1540328216.929 * * [misc]simplify: iters left: 1 (10 enodes) 1540328216.931 * [exit]simplify: Simplified to (/ 1 (* N N)) 1540328216.931 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.931 * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # 1540328216.931 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1540328216.931 * * [misc]simplify: iters left: 3 (5 enodes) 1540328216.932 * * [misc]simplify: iters left: 2 (8 enodes) 1540328216.933 * * [misc]simplify: iters left: 1 (10 enodes) 1540328216.935 * [exit]simplify: Simplified to (/ 1 (* N N)) 1540328216.935 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.935 * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # 1540328216.935 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1540328216.935 * * [misc]simplify: iters left: 3 (5 enodes) 1540328216.936 * * [misc]simplify: iters left: 2 (8 enodes) 1540328216.938 * * [misc]simplify: iters left: 1 (10 enodes) 1540328216.939 * [exit]simplify: Simplified to (/ 1 (* N N)) 1540328216.939 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.939 * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # 1540328216.940 * [enter]simplify: Simplifying (/ 1/3 N) 1540328216.940 * * [misc]simplify: iters left: 2 (3 enodes) 1540328216.940 * [exit]simplify: Simplified to (/ 1/3 N) 1540328216.940 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.940 * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # 1540328216.940 * [enter]simplify: Simplifying (/ 1/3 N) 1540328216.941 * * [misc]simplify: iters left: 2 (3 enodes) 1540328216.941 * [exit]simplify: Simplified to (/ 1/3 N) 1540328216.941 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.941 * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # 1540328216.941 * [enter]simplify: Simplifying (/ 1/3 N) 1540328216.941 * * [misc]simplify: iters left: 2 (3 enodes) 1540328216.942 * [exit]simplify: Simplified to (/ 1/3 N) 1540328216.942 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328216.942 * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # 1540328216.942 * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1540328216.943 * * [misc]simplify: iters left: 6 (15 enodes) 1540328216.948 * * [misc]simplify: iters left: 5 (31 enodes) 1540328216.959 * * [misc]simplify: iters left: 4 (61 enodes) 1540328216.978 * * [misc]simplify: iters left: 3 (105 enodes) 1540328217.009 * * [misc]simplify: iters left: 2 (172 enodes) 1540328217.039 * * [misc]simplify: iters left: 1 (230 enodes) 1540328217.101 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) 1540328217.101 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1540328217.101 * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # 1540328217.101 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540328217.102 * * [misc]simplify: iters left: 6 (15 enodes) 1540328217.110 * * [misc]simplify: iters left: 5 (32 enodes) 1540328217.129 * * [misc]simplify: iters left: 4 (61 enodes) 1540328217.160 * * [misc]simplify: iters left: 3 (103 enodes) 1540328217.193 * * [misc]simplify: iters left: 2 (168 enodes) 1540328217.232 * * [misc]simplify: iters left: 1 (248 enodes) 1540328217.334 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540328217.334 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328217.334 * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # 1540328217.334 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540328217.336 * * [misc]simplify: iters left: 6 (15 enodes) 1540328217.346 * * [misc]simplify: iters left: 5 (32 enodes) 1540328217.365 * * [misc]simplify: iters left: 4 (61 enodes) 1540328217.397 * * [misc]simplify: iters left: 3 (103 enodes) 1540328217.450 * * [misc]simplify: iters left: 2 (168 enodes) 1540328217.488 * * [misc]simplify: iters left: 1 (248 enodes) 1540328217.580 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540328217.580 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328217.580 * * * [misc]progress: adding candidates to table 1540328218.300 * * [misc]progress: iteration 3 / 4 1540328218.300 * * * [misc]progress: picking best candidate 1540328218.313 * * * * [misc]pick: Picked # 1540328218.313 * * * [misc]progress: localizing error 1540328218.330 * * * [misc]progress: generating rewritten candidates 1540328218.330 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1540328218.341 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1540328218.361 * * * [misc]progress: generating series expansions 1540328218.361 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1540328218.361 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1540328218.361 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1540328218.361 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1540328218.361 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540328218.361 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540328218.361 * [misc]taylor: Taking taylor expansion of N in N 1540328218.361 * [misc]backup-simplify: Simplify 0 into 0 1540328218.361 * [misc]backup-simplify: Simplify 1 into 1 1540328218.361 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.361 * [misc]backup-simplify: Simplify 1 into 1 1540328218.361 * [misc]taylor: Taking taylor expansion of N in N 1540328218.361 * [misc]backup-simplify: Simplify 0 into 0 1540328218.361 * [misc]backup-simplify: Simplify 1 into 1 1540328218.362 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.362 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.362 * [misc]backup-simplify: Simplify (log 1) into 0 1540328218.362 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1540328218.362 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540328218.362 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540328218.362 * [misc]taylor: Taking taylor expansion of N in N 1540328218.362 * [misc]backup-simplify: Simplify 0 into 0 1540328218.362 * [misc]backup-simplify: Simplify 1 into 1 1540328218.362 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.362 * [misc]backup-simplify: Simplify 1 into 1 1540328218.362 * [misc]taylor: Taking taylor expansion of N in N 1540328218.362 * [misc]backup-simplify: Simplify 0 into 0 1540328218.362 * [misc]backup-simplify: Simplify 1 into 1 1540328218.362 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.362 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.362 * [misc]backup-simplify: Simplify (log 1) into 0 1540328218.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328218.363 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540328218.363 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.363 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540328218.365 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328218.365 * [misc]backup-simplify: Simplify 1 into 1 1540328218.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540328218.368 * [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 1540328218.368 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328218.368 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1540328218.368 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1540328218.368 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1540328218.368 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1540328218.368 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540328218.368 * [misc]taylor: Taking taylor expansion of N in N 1540328218.368 * [misc]backup-simplify: Simplify 0 into 0 1540328218.368 * [misc]backup-simplify: Simplify 1 into 1 1540328218.368 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540328218.368 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.368 * [misc]taylor: Taking taylor expansion of N in N 1540328218.368 * [misc]backup-simplify: Simplify 0 into 0 1540328218.368 * [misc]backup-simplify: Simplify 1 into 1 1540328218.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.368 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.368 * [misc]backup-simplify: Simplify 1 into 1 1540328218.368 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.368 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540328218.369 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328218.369 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.369 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540328218.369 * [misc]backup-simplify: Simplify (log 1) into 0 1540328218.369 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1540328218.369 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540328218.369 * [misc]taylor: Taking taylor expansion of N in N 1540328218.369 * [misc]backup-simplify: Simplify 0 into 0 1540328218.369 * [misc]backup-simplify: Simplify 1 into 1 1540328218.369 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540328218.369 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.369 * [misc]taylor: Taking taylor expansion of N in N 1540328218.369 * [misc]backup-simplify: Simplify 0 into 0 1540328218.369 * [misc]backup-simplify: Simplify 1 into 1 1540328218.369 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.369 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.369 * [misc]backup-simplify: Simplify 1 into 1 1540328218.369 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.369 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540328218.370 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328218.370 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.370 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540328218.370 * [misc]backup-simplify: Simplify (log 1) into 0 1540328218.370 * [misc]backup-simplify: Simplify 0 into 0 1540328218.370 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.370 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540328218.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328218.372 * [misc]backup-simplify: Simplify 1 into 1 1540328218.373 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.373 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540328218.376 * [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 1540328218.376 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328218.376 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.376 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.376 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540328218.380 * [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 1540328218.380 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328218.381 * [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)))) 1540328218.381 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1540328218.381 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1540328218.381 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1540328218.381 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540328218.381 * [misc]taylor: Taking taylor expansion of -1 in N 1540328218.381 * [misc]backup-simplify: Simplify -1 into -1 1540328218.381 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540328218.381 * [misc]taylor: Taking taylor expansion of N in N 1540328218.381 * [misc]backup-simplify: Simplify 0 into 0 1540328218.381 * [misc]backup-simplify: Simplify 1 into 1 1540328218.381 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540328218.381 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.381 * [misc]backup-simplify: Simplify 1 into 1 1540328218.381 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.381 * [misc]taylor: Taking taylor expansion of N in N 1540328218.381 * [misc]backup-simplify: Simplify 0 into 0 1540328218.381 * [misc]backup-simplify: Simplify 1 into 1 1540328218.382 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.382 * [misc]backup-simplify: Simplify (- 1) into -1 1540328218.382 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328218.382 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540328218.382 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540328218.382 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328218.382 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.382 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.382 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540328218.383 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540328218.383 * [misc]backup-simplify: Simplify (log 1) into 0 1540328218.383 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1540328218.383 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540328218.383 * [misc]taylor: Taking taylor expansion of -1 in N 1540328218.383 * [misc]backup-simplify: Simplify -1 into -1 1540328218.383 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540328218.383 * [misc]taylor: Taking taylor expansion of N in N 1540328218.383 * [misc]backup-simplify: Simplify 0 into 0 1540328218.383 * [misc]backup-simplify: Simplify 1 into 1 1540328218.383 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540328218.383 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.383 * [misc]backup-simplify: Simplify 1 into 1 1540328218.383 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.383 * [misc]taylor: Taking taylor expansion of N in N 1540328218.383 * [misc]backup-simplify: Simplify 0 into 0 1540328218.383 * [misc]backup-simplify: Simplify 1 into 1 1540328218.383 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.383 * [misc]backup-simplify: Simplify (- 1) into -1 1540328218.383 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328218.383 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540328218.383 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540328218.384 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328218.384 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.384 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.384 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540328218.384 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540328218.384 * [misc]backup-simplify: Simplify (log 1) into 0 1540328218.384 * [misc]backup-simplify: Simplify 0 into 0 1540328218.384 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.385 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.385 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540328218.385 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540328218.387 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1540328218.387 * [misc]backup-simplify: Simplify -1 into -1 1540328218.387 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.387 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.387 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.388 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540328218.388 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540328218.391 * [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 1540328218.391 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540328218.391 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.391 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.392 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540328218.392 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540328218.397 * [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 1540328218.397 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540328218.398 * [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)))) 1540328218.398 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1540328218.398 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1540328218.398 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1540328218.398 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540328218.398 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540328218.398 * [misc]taylor: Taking taylor expansion of N in N 1540328218.398 * [misc]backup-simplify: Simplify 0 into 0 1540328218.398 * [misc]backup-simplify: Simplify 1 into 1 1540328218.398 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.398 * [misc]backup-simplify: Simplify 1 into 1 1540328218.398 * [misc]taylor: Taking taylor expansion of N in N 1540328218.398 * [misc]backup-simplify: Simplify 0 into 0 1540328218.398 * [misc]backup-simplify: Simplify 1 into 1 1540328218.399 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.399 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.399 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540328218.399 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540328218.399 * [misc]taylor: Taking taylor expansion of N in N 1540328218.399 * [misc]backup-simplify: Simplify 0 into 0 1540328218.399 * [misc]backup-simplify: Simplify 1 into 1 1540328218.399 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.399 * [misc]backup-simplify: Simplify 1 into 1 1540328218.399 * [misc]taylor: Taking taylor expansion of N in N 1540328218.399 * [misc]backup-simplify: Simplify 0 into 0 1540328218.399 * [misc]backup-simplify: Simplify 1 into 1 1540328218.399 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.399 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.399 * [misc]backup-simplify: Simplify 1 into 1 1540328218.399 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.400 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540328218.400 * [misc]backup-simplify: Simplify 1 into 1 1540328218.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540328218.400 * [misc]backup-simplify: Simplify 0 into 0 1540328218.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.401 * [misc]backup-simplify: Simplify 0 into 0 1540328218.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.401 * [misc]backup-simplify: Simplify 0 into 0 1540328218.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.402 * [misc]backup-simplify: Simplify 0 into 0 1540328218.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.402 * [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 1540328218.402 * [misc]backup-simplify: Simplify 0 into 0 1540328218.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.403 * [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 1540328218.403 * [misc]backup-simplify: Simplify 0 into 0 1540328218.403 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1540328218.403 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1540328218.403 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1540328218.403 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540328218.403 * [misc]taylor: Taking taylor expansion of N in N 1540328218.403 * [misc]backup-simplify: Simplify 0 into 0 1540328218.403 * [misc]backup-simplify: Simplify 1 into 1 1540328218.403 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540328218.403 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.403 * [misc]taylor: Taking taylor expansion of N in N 1540328218.403 * [misc]backup-simplify: Simplify 0 into 0 1540328218.403 * [misc]backup-simplify: Simplify 1 into 1 1540328218.403 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.403 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.403 * [misc]backup-simplify: Simplify 1 into 1 1540328218.403 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540328218.403 * [misc]taylor: Taking taylor expansion of N in N 1540328218.403 * [misc]backup-simplify: Simplify 0 into 0 1540328218.403 * [misc]backup-simplify: Simplify 1 into 1 1540328218.403 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540328218.403 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.403 * [misc]taylor: Taking taylor expansion of N in N 1540328218.403 * [misc]backup-simplify: Simplify 0 into 0 1540328218.403 * [misc]backup-simplify: Simplify 1 into 1 1540328218.404 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.404 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.404 * [misc]backup-simplify: Simplify 1 into 1 1540328218.404 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.404 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540328218.404 * [misc]backup-simplify: Simplify 0 into 0 1540328218.404 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328218.404 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328218.404 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540328218.404 * [misc]backup-simplify: Simplify 1 into 1 1540328218.405 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.405 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540328218.405 * [misc]backup-simplify: Simplify 1 into 1 1540328218.405 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.405 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.406 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540328218.406 * [misc]backup-simplify: Simplify 0 into 0 1540328218.406 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.406 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.406 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540328218.406 * [misc]backup-simplify: Simplify 0 into 0 1540328218.407 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.407 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1540328218.407 * [misc]backup-simplify: Simplify 0 into 0 1540328218.407 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.408 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1540328218.408 * [misc]backup-simplify: Simplify 0 into 0 1540328218.408 * [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 1540328218.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.409 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1540328218.409 * [misc]backup-simplify: Simplify 0 into 0 1540328218.409 * [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 1540328218.409 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.410 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1540328218.410 * [misc]backup-simplify: Simplify 0 into 0 1540328218.410 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1540328218.410 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1540328218.410 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1540328218.410 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of -1 in N 1540328218.410 * [misc]backup-simplify: Simplify -1 into -1 1540328218.410 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of N in N 1540328218.410 * [misc]backup-simplify: Simplify 0 into 0 1540328218.410 * [misc]backup-simplify: Simplify 1 into 1 1540328218.410 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.410 * [misc]backup-simplify: Simplify 1 into 1 1540328218.410 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of N in N 1540328218.410 * [misc]backup-simplify: Simplify 0 into 0 1540328218.410 * [misc]backup-simplify: Simplify 1 into 1 1540328218.410 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.410 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of -1 in N 1540328218.410 * [misc]backup-simplify: Simplify -1 into -1 1540328218.410 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of N in N 1540328218.410 * [misc]backup-simplify: Simplify 0 into 0 1540328218.410 * [misc]backup-simplify: Simplify 1 into 1 1540328218.410 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of 1 in N 1540328218.410 * [misc]backup-simplify: Simplify 1 into 1 1540328218.410 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328218.410 * [misc]taylor: Taking taylor expansion of N in N 1540328218.410 * [misc]backup-simplify: Simplify 0 into 0 1540328218.410 * [misc]backup-simplify: Simplify 1 into 1 1540328218.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328218.411 * [misc]backup-simplify: Simplify (- 1) into -1 1540328218.411 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328218.411 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540328218.411 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540328218.411 * [misc]backup-simplify: Simplify 0 into 0 1540328218.411 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328218.411 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.411 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328218.412 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540328218.412 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540328218.412 * [misc]backup-simplify: Simplify 1 into 1 1540328218.412 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.412 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.412 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540328218.412 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540328218.413 * [misc]backup-simplify: Simplify -1 into -1 1540328218.413 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.413 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.413 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.413 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540328218.413 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540328218.413 * [misc]backup-simplify: Simplify 0 into 0 1540328218.414 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.414 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540328218.414 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540328218.414 * [misc]backup-simplify: Simplify 0 into 0 1540328218.415 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.415 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.415 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1540328218.415 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1540328218.415 * [misc]backup-simplify: Simplify 0 into 0 1540328218.416 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328218.416 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.416 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1540328218.416 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1540328218.417 * [misc]backup-simplify: Simplify 0 into 0 1540328218.417 * [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 1540328218.417 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.417 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1540328218.418 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1540328218.418 * [misc]backup-simplify: Simplify 0 into 0 1540328218.418 * [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 1540328218.418 * [misc]backup-simplify: Simplify (- 0) into 0 1540328218.418 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328218.419 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1540328218.419 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1540328218.419 * [misc]backup-simplify: Simplify 0 into 0 1540328218.419 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1540328218.419 * * * [misc]progress: simplifying candidates 1540328218.419 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1540328218.419 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1540328218.419 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1540328218.419 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1540328218.420 * * [misc]simplify: iters left: 6 (7 enodes) 1540328218.422 * * [misc]simplify: iters left: 5 (12 enodes) 1540328218.424 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1540328218.424 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1540328218.424 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1540328218.424 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1540328218.425 * * [misc]simplify: iters left: 6 (6 enodes) 1540328218.426 * * [misc]simplify: iters left: 5 (9 enodes) 1540328218.428 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1540328218.428 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1540328218.428 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1540328218.428 * [enter]simplify: Simplifying (log 1) 1540328218.428 * * [misc]simplify: iters left: 1 (2 enodes) 1540328218.429 * [exit]simplify: Simplified to 0 1540328218.429 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1540328218.429 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1540328218.429 * [enter]simplify: Simplifying (log (+ 1 N)) 1540328218.430 * * [misc]simplify: iters left: 3 (4 enodes) 1540328218.431 * * [misc]simplify: iters left: 2 (8 enodes) 1540328218.432 * [exit]simplify: Simplified to (log1p N) 1540328218.432 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1540328218.432 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1540328218.432 * [enter]simplify: Simplifying (log (+ 1 N)) 1540328218.432 * * [misc]simplify: iters left: 3 (4 enodes) 1540328218.433 * * [misc]simplify: iters left: 2 (8 enodes) 1540328218.434 * [exit]simplify: Simplified to (log1p N) 1540328218.434 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1540328218.434 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1540328218.434 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1540328218.434 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1540328218.435 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1540328218.435 * * [misc]simplify: iters left: 4 (4 enodes) 1540328218.436 * * [misc]simplify: iters left: 3 (7 enodes) 1540328218.437 * [exit]simplify: Simplified to (/ (+ N 1) N) 1540328218.437 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1540328218.437 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1540328218.437 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1540328218.437 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1540328218.438 * * [misc]simplify: iters left: 5 (5 enodes) 1540328218.441 * * [misc]simplify: iters left: 4 (8 enodes) 1540328218.444 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1540328218.444 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1540328218.444 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1540328218.444 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540328218.445 * * [misc]simplify: iters left: 3 (4 enodes) 1540328218.446 * * [misc]simplify: iters left: 2 (7 enodes) 1540328218.449 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540328218.449 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1540328218.449 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1540328218.449 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1540328218.449 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1540328218.450 * * [misc]simplify: iters left: 3 (6 enodes) 1540328218.454 * * [misc]simplify: iters left: 2 (14 enodes) 1540328218.458 * * [misc]simplify: iters left: 1 (16 enodes) 1540328218.461 * [exit]simplify: Simplified to (fma (* N N) N 1) 1540328218.461 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1540328218.462 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1540328218.462 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1540328218.462 * * [misc]simplify: iters left: 4 (5 enodes) 1540328218.465 * * [misc]simplify: iters left: 3 (10 enodes) 1540328218.468 * * [misc]simplify: iters left: 2 (14 enodes) 1540328218.472 * * [misc]simplify: iters left: 1 (16 enodes) 1540328218.474 * [exit]simplify: Simplified to (- 1 (* N N)) 1540328218.474 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1540328218.474 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1540328218.474 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1540328218.475 * * [misc]simplify: iters left: 6 (8 enodes) 1540328218.478 * * [misc]simplify: iters left: 5 (15 enodes) 1540328218.481 * * [misc]simplify: iters left: 4 (29 enodes) 1540328218.489 * * [misc]simplify: iters left: 3 (55 enodes) 1540328218.517 * * [misc]simplify: iters left: 2 (104 enodes) 1540328218.551 * * [misc]simplify: iters left: 1 (143 enodes) 1540328218.603 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1540328218.603 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1540328218.603 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1540328218.604 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540328218.605 * * [misc]simplify: iters left: 6 (15 enodes) 1540328218.614 * * [misc]simplify: iters left: 5 (32 enodes) 1540328218.624 * * [misc]simplify: iters left: 4 (61 enodes) 1540328218.646 * * [misc]simplify: iters left: 3 (103 enodes) 1540328218.704 * * [misc]simplify: iters left: 2 (168 enodes) 1540328218.775 * * [misc]simplify: iters left: 1 (248 enodes) 1540328218.915 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540328218.915 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328218.915 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1540328218.916 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540328218.917 * * [misc]simplify: iters left: 6 (15 enodes) 1540328218.926 * * [misc]simplify: iters left: 5 (32 enodes) 1540328218.944 * * [misc]simplify: iters left: 4 (61 enodes) 1540328218.974 * * [misc]simplify: iters left: 3 (103 enodes) 1540328219.029 * * [misc]simplify: iters left: 2 (168 enodes) 1540328219.088 * * [misc]simplify: iters left: 1 (248 enodes) 1540328219.191 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540328219.192 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540328219.192 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1540328219.192 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540328219.192 * * [misc]simplify: iters left: 4 (4 enodes) 1540328219.193 * * [misc]simplify: iters left: 3 (7 enodes) 1540328219.194 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540328219.194 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1540328219.194 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1540328219.195 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540328219.195 * * [misc]simplify: iters left: 4 (4 enodes) 1540328219.196 * * [misc]simplify: iters left: 3 (7 enodes) 1540328219.197 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540328219.197 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1540328219.197 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1540328219.197 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540328219.197 * * [misc]simplify: iters left: 4 (4 enodes) 1540328219.198 * * [misc]simplify: iters left: 3 (7 enodes) 1540328219.199 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540328219.199 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1540328219.199 * * * [misc]progress: adding candidates to table 1540328219.614 * * [misc]progress: iteration 4 / 4 1540328219.614 * * * [misc]progress: picking best candidate 1540328219.634 * * * * [misc]pick: Picked # 1540328219.635 * * * [misc]progress: localizing error 1540328219.662 * * * [misc]progress: generating rewritten candidates 1540328219.662 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1540328219.665 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1540328219.671 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) 1540328219.677 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1540328219.682 * * * [misc]progress: generating series expansions 1540328219.682 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1540328219.683 * [misc]backup-simplify: Simplify (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N))) into (fma (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3) (- (log N))) 1540328219.683 * [misc]approximate: Taking taylor expansion of (fma (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3) (- (log N))) in (N) around 0 1540328219.683 * [misc]taylor: Taking taylor expansion of (fma (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3) (- (log N))) in N 1540328219.684 * [misc]taylor: Rewrote expression to (+ (* (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3)) (- (log N))) 1540328219.684 * [misc]taylor: Taking taylor expansion of (* (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3)) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of (pow (pow (log1p N) 2) 1/3) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p N) 2)))) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p N) 2))) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.684 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.684 * [misc]taylor: Taking taylor expansion of (log (pow (log1p N) 2)) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 2) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328219.684 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328219.684 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328219.684 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.684 * [misc]backup-simplify: Simplify 1 into 1 1540328219.684 * [misc]taylor: Taking taylor expansion of N in N 1540328219.684 * [misc]backup-simplify: Simplify 0 into 0 1540328219.684 * [misc]backup-simplify: Simplify 1 into 1 1540328219.684 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.684 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.685 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.687 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328219.687 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328219.687 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.688 * [misc]backup-simplify: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1540328219.688 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1540328219.688 * [misc]backup-simplify: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1540328219.688 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328219.688 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328219.688 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328219.688 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.688 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.688 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328219.688 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328219.688 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328219.688 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328219.688 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.688 * [misc]backup-simplify: Simplify 1 into 1 1540328219.688 * [misc]taylor: Taking taylor expansion of N in N 1540328219.688 * [misc]backup-simplify: Simplify 0 into 0 1540328219.688 * [misc]backup-simplify: Simplify 1 into 1 1540328219.688 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.689 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.689 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.691 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328219.692 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328219.692 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328219.692 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328219.692 * [misc]taylor: Taking taylor expansion of (- (log N)) in N 1540328219.692 * [misc]taylor: Taking taylor expansion of (log N) in N 1540328219.692 * [misc]taylor: Taking taylor expansion of N in N 1540328219.692 * [misc]backup-simplify: Simplify 0 into 0 1540328219.692 * [misc]backup-simplify: Simplify 1 into 1 1540328219.692 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.692 * [misc]taylor: Taking taylor expansion of (fma (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3) (- (log N))) in N 1540328219.692 * [misc]taylor: Rewrote expression to (+ (* (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3)) (- (log N))) 1540328219.692 * [misc]taylor: Taking taylor expansion of (* (pow (pow (log1p N) 2) 1/3) (pow (log1p N) 1/3)) in N 1540328219.692 * [misc]taylor: Taking taylor expansion of (pow (pow (log1p N) 2) 1/3) in N 1540328219.693 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p N) 2)))) in N 1540328219.693 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p N) 2))) in N 1540328219.693 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.693 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.693 * [misc]taylor: Taking taylor expansion of (log (pow (log1p N) 2)) in N 1540328219.693 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 2) in N 1540328219.693 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328219.693 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328219.693 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328219.693 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.693 * [misc]backup-simplify: Simplify 1 into 1 1540328219.693 * [misc]taylor: Taking taylor expansion of N in N 1540328219.693 * [misc]backup-simplify: Simplify 0 into 0 1540328219.693 * [misc]backup-simplify: Simplify 1 into 1 1540328219.693 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.693 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.694 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.696 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328219.696 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540328219.697 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.697 * [misc]backup-simplify: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1540328219.697 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1540328219.697 * [misc]backup-simplify: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1540328219.697 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328219.697 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328219.697 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328219.697 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.697 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.697 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328219.697 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328219.697 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328219.697 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328219.697 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.697 * [misc]backup-simplify: Simplify 1 into 1 1540328219.697 * [misc]taylor: Taking taylor expansion of N in N 1540328219.697 * [misc]backup-simplify: Simplify 0 into 0 1540328219.697 * [misc]backup-simplify: Simplify 1 into 1 1540328219.698 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.698 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.698 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328219.701 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.701 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328219.701 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328219.701 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328219.701 * [misc]taylor: Taking taylor expansion of (- (log N)) in N 1540328219.701 * [misc]taylor: Taking taylor expansion of (log N) in N 1540328219.701 * [misc]taylor: Taking taylor expansion of N in N 1540328219.701 * [misc]backup-simplify: Simplify 0 into 0 1540328219.701 * [misc]backup-simplify: Simplify 1 into 1 1540328219.701 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.702 * [misc]backup-simplify: Simplify (* (pow N 2/3) (pow N 1/3)) into N 1540328219.702 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328219.702 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540328219.702 * [misc]backup-simplify: Simplify (+ N (- (log N))) into (- N (log N)) 1540328219.702 * [misc]backup-simplify: Simplify (- N (log N)) into (- N (log N)) 1540328219.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.707 * [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 1540328219.710 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540328219.710 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328219.710 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1540328219.712 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1540328219.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.717 * [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 1540328219.717 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 1540328219.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1540328219.720 * [misc]backup-simplify: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1540328219.720 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (* 2 (log N)))) into (- 1/3) 1540328219.722 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (pow N 2) 1/3)) 1540328219.723 * [misc]backup-simplify: Simplify (+ (* (pow N 2/3) (* -1/6 (pow N 1/3))) (* (* -1/3 (pow (pow N 2) 1/3)) (pow N 1/3))) into (- (* 1/2 N)) 1540328219.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540328219.726 * [misc]backup-simplify: Simplify (- 0) into 0 1540328219.726 * [misc]backup-simplify: Simplify (+ (- (* 1/2 N)) 0) into (- (* 1/2 N)) 1540328219.726 * [misc]backup-simplify: Simplify (- (* 1/2 N)) into (- (* 1/2 N)) 1540328219.726 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.734 * [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 1540328219.738 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1540328219.739 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328219.739 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1540328219.742 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1540328219.742 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.751 * [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 1540328219.751 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* -1/2 -1/2) (* 1/3 1))) into 11/12 1540328219.754 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 11/12) 1)) (pow 1 1)))) 2) into 5/12 1540328219.754 * [misc]backup-simplify: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1540328219.755 * [misc]backup-simplify: Simplify (+ (* 1/3 5/12) (+ (* 0 -1) (* 0 (* 2 (log N))))) into 5/36 1540328219.759 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 5/36 1) 1)))) into (* 7/36 (pow (pow N 2) 1/3)) 1540328219.760 * [misc]backup-simplify: Simplify (+ (* (pow N 2/3) (* 1/12 (pow N 1/3))) (+ (* (* -1/3 (pow (pow N 2) 1/3)) (* -1/6 (pow N 1/3))) (* (* 7/36 (pow (pow N 2) 1/3)) (pow N 1/3)))) into (* 1/3 N) 1540328219.763 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540328219.763 * [misc]backup-simplify: Simplify (- 0) into 0 1540328219.763 * [misc]backup-simplify: Simplify (+ (* 1/3 N) 0) into (* 1/3 N) 1540328219.763 * [misc]backup-simplify: Simplify (* 1/3 N) into (* 1/3 N) 1540328219.763 * [misc]backup-simplify: Simplify (+ (* (* 1/3 N) (pow N 2)) (+ (* (- (* 1/2 N)) N) (- N (log N)))) into (- (+ N (* 1/3 (pow N 3))) (+ (* 1/2 (pow N 2)) (log N))) 1540328219.764 * [misc]backup-simplify: Simplify (fma (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) (cbrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3) (- (log (/ 1 N)))) 1540328219.764 * [misc]approximate: Taking taylor expansion of (fma (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3) (- (log (/ 1 N)))) in (N) around 0 1540328219.764 * [misc]taylor: Taking taylor expansion of (fma (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3) (- (log (/ 1 N)))) in N 1540328219.764 * [misc]taylor: Rewrote expression to (+ (* (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3)) (- (log (/ 1 N)))) 1540328219.764 * [misc]taylor: Taking taylor expansion of (* (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3)) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of (pow (pow (log1p (/ 1 N)) 2) 1/3) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 N)) 2)))) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 N)) 2))) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.764 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.764 * [misc]taylor: Taking taylor expansion of (log (pow (log1p (/ 1 N)) 2)) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328219.764 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328219.764 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.764 * [misc]backup-simplify: Simplify 1 into 1 1540328219.764 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328219.764 * [misc]taylor: Taking taylor expansion of N in N 1540328219.764 * [misc]backup-simplify: Simplify 0 into 0 1540328219.764 * [misc]backup-simplify: Simplify 1 into 1 1540328219.764 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328219.764 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.765 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.765 * [misc]backup-simplify: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1540328219.765 * [misc]backup-simplify: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 1540328219.766 * [misc]backup-simplify: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 1540328219.766 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 1540328219.766 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328219.766 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328219.766 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328219.766 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.766 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.766 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328219.766 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328219.766 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328219.766 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328219.766 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.766 * [misc]backup-simplify: Simplify 1 into 1 1540328219.766 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328219.766 * [misc]taylor: Taking taylor expansion of N in N 1540328219.766 * [misc]backup-simplify: Simplify 0 into 0 1540328219.766 * [misc]backup-simplify: Simplify 1 into 1 1540328219.766 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328219.766 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.766 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.767 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.767 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328219.767 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328219.767 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328219.767 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 N))) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of N in N 1540328219.767 * [misc]backup-simplify: Simplify 0 into 0 1540328219.767 * [misc]backup-simplify: Simplify 1 into 1 1540328219.767 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328219.767 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.767 * [misc]taylor: Taking taylor expansion of (fma (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3) (- (log (/ 1 N)))) in N 1540328219.767 * [misc]taylor: Rewrote expression to (+ (* (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3)) (- (log (/ 1 N)))) 1540328219.767 * [misc]taylor: Taking taylor expansion of (* (pow (pow (log1p (/ 1 N)) 2) 1/3) (pow (log1p (/ 1 N)) 1/3)) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (pow (pow (log1p (/ 1 N)) 2) 1/3) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 N)) 2)))) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 N)) 2))) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.767 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.767 * [misc]taylor: Taking taylor expansion of (log (pow (log1p (/ 1 N)) 2)) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328219.767 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328219.767 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.767 * [misc]backup-simplify: Simplify 1 into 1 1540328219.767 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328219.767 * [misc]taylor: Taking taylor expansion of N in N 1540328219.767 * [misc]backup-simplify: Simplify 0 into 0 1540328219.767 * [misc]backup-simplify: Simplify 1 into 1 1540328219.768 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328219.768 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.768 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.768 * [misc]backup-simplify: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1540328219.768 * [misc]backup-simplify: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 1540328219.769 * [misc]backup-simplify: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 1540328219.769 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 1540328219.769 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328219.769 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328219.769 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328219.769 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.769 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.769 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328219.769 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328219.769 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328219.769 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328219.769 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.769 * [misc]backup-simplify: Simplify 1 into 1 1540328219.769 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328219.769 * [misc]taylor: Taking taylor expansion of N in N 1540328219.769 * [misc]backup-simplify: Simplify 0 into 0 1540328219.769 * [misc]backup-simplify: Simplify 1 into 1 1540328219.769 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328219.769 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328219.769 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.770 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328219.770 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328219.770 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328219.770 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 N))) in N 1540328219.770 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1540328219.770 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328219.770 * [misc]taylor: Taking taylor expansion of N in N 1540328219.770 * [misc]backup-simplify: Simplify 0 into 0 1540328219.770 * [misc]backup-simplify: Simplify 1 into 1 1540328219.770 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328219.770 * [misc]backup-simplify: Simplify (log 1) into 0 1540328219.771 * [misc]backup-simplify: Simplify (* (pow (pow (log N) 2) 1/3) (pow (- (log N)) 1/3)) into (* (log N) (pow -1 1/3)) 1540328219.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.771 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1540328219.771 * [misc]backup-simplify: Simplify (+ (* (log N) (pow -1 1/3)) (log N)) into (+ (* (log N) (pow -1 1/3)) (log N)) 1540328219.771 * [misc]backup-simplify: Simplify (+ (* (log N) (pow -1 1/3)) (log N)) into (+ (* (log N) (pow -1 1/3)) (log N)) 1540328219.772 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328219.772 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328219.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.775 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 1540328219.775 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) 1540328219.775 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328219.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.776 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328219.776 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.777 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328219.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.778 * [misc]backup-simplify: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 1540328219.778 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 1) into (/ -2 (log N)) 1540328219.778 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 (log N))) (* 0 (log (pow (log N) 2)))) into (- (* 2/3 (/ 1 (log N)))) 1540328219.779 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 2/3 (/ 1 (log N)))) 1) 1)))) into (* -2/3 (pow (/ 1 (log N)) 1/3)) 1540328219.780 * [misc]backup-simplify: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* -2/3 (pow (/ 1 (log N)) 1/3)) (pow (- (log N)) 1/3))) into (- (pow -1 1/3)) 1540328219.780 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328219.781 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540328219.781 * [misc]backup-simplify: Simplify (- 0) into 0 1540328219.782 * [misc]backup-simplify: Simplify (+ (- (pow -1 1/3)) 0) into (- (pow -1 1/3)) 1540328219.782 * [misc]backup-simplify: Simplify (- (pow -1 1/3)) into (- (pow -1 1/3)) 1540328219.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.783 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.785 * [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 1540328219.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.787 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 1540328219.788 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1540328219.790 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328219.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.791 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.796 * [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 1540328219.796 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328219.797 * [misc]backup-simplify: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 1540328219.799 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (log N)))) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log N) 1)) 1)) (pow (pow (log N) 2) 1)))) 2) into (* 1/2 (- (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 2))))) 1540328219.800 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -2 (log N))) (* 0 (log (pow (log N) 2))))) into (- (* 1/3 (/ 1 (log N))) (* 1/3 (/ 1 (pow (log N) 2)))) 1540328219.802 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 2/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (log N))) (* 1/3 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (pow (log N) 2) 1/3) (- (* 1/3 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328219.806 * [misc]backup-simplify: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))))) (+ (* (* -2/3 (pow (/ 1 (log N)) 1/3)) (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* (pow (pow (log N) 2) 1/3) (- (* 1/3 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) (pow (- (log N)) 1/3)))) into (* 1/2 (pow -1 1/3)) 1540328219.807 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.811 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540328219.811 * [misc]backup-simplify: Simplify (- 0) into 0 1540328219.812 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow -1 1/3)) 0) into (* 1/2 (pow -1 1/3)) 1540328219.812 * [misc]backup-simplify: Simplify (* 1/2 (pow -1 1/3)) into (* 1/2 (pow -1 1/3)) 1540328219.814 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (pow -1 1/3)) (/ 1 N)) (+ (* (log (/ 1 N)) (pow -1 1/3)) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (* 1/2 (* (/ 1 (pow N 2)) (pow -1 1/3))) (* (log (/ 1 N)) (pow -1 1/3)))) (* (/ 1 N) (pow -1 1/3))) 1540328219.816 * [misc]backup-simplify: Simplify (fma (* (cbrt (log1p (/ 1 (- N)))) (cbrt (log1p (/ 1 (- N))))) (cbrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3) (- (log (/ -1 N)))) 1540328219.816 * [misc]approximate: Taking taylor expansion of (fma (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3) (- (log (/ -1 N)))) in (N) around 0 1540328219.816 * [misc]taylor: Taking taylor expansion of (fma (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3) (- (log (/ -1 N)))) in N 1540328219.816 * [misc]taylor: Rewrote expression to (+ (* (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3)) (- (log (/ -1 N)))) 1540328219.816 * [misc]taylor: Taking taylor expansion of (* (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3)) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of (pow (pow (log1p (/ -1 N)) 2) 1/3) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ -1 N)) 2)))) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ -1 N)) 2))) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.816 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.816 * [misc]taylor: Taking taylor expansion of (log (pow (log1p (/ -1 N)) 2)) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328219.816 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328219.816 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.816 * [misc]backup-simplify: Simplify 1 into 1 1540328219.816 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328219.816 * [misc]taylor: Taking taylor expansion of -1 in N 1540328219.816 * [misc]backup-simplify: Simplify -1 into -1 1540328219.816 * [misc]taylor: Taking taylor expansion of N in N 1540328219.816 * [misc]backup-simplify: Simplify 0 into 0 1540328219.816 * [misc]backup-simplify: Simplify 1 into 1 1540328219.817 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328219.817 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328219.817 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328219.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.819 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1540328219.819 * [misc]backup-simplify: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 1540328219.819 * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 1540328219.820 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 1540328219.820 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328219.820 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328219.820 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328219.820 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.820 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.820 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328219.820 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328219.820 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328219.820 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328219.820 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.820 * [misc]backup-simplify: Simplify 1 into 1 1540328219.820 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328219.820 * [misc]taylor: Taking taylor expansion of -1 in N 1540328219.820 * [misc]backup-simplify: Simplify -1 into -1 1540328219.820 * [misc]taylor: Taking taylor expansion of N in N 1540328219.820 * [misc]backup-simplify: Simplify 0 into 0 1540328219.820 * [misc]backup-simplify: Simplify 1 into 1 1540328219.820 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328219.820 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328219.821 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328219.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.821 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328219.822 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328219.822 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328219.822 * [misc]taylor: Taking taylor expansion of (- (log (/ -1 N))) in N 1540328219.822 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1540328219.822 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328219.822 * [misc]taylor: Taking taylor expansion of -1 in N 1540328219.822 * [misc]backup-simplify: Simplify -1 into -1 1540328219.822 * [misc]taylor: Taking taylor expansion of N in N 1540328219.822 * [misc]backup-simplify: Simplify 0 into 0 1540328219.822 * [misc]backup-simplify: Simplify 1 into 1 1540328219.822 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328219.823 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328219.823 * [misc]taylor: Taking taylor expansion of (fma (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3) (- (log (/ -1 N)))) in N 1540328219.823 * [misc]taylor: Rewrote expression to (+ (* (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3)) (- (log (/ -1 N)))) 1540328219.823 * [misc]taylor: Taking taylor expansion of (* (pow (pow (log1p (/ -1 N)) 2) 1/3) (pow (log1p (/ -1 N)) 1/3)) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of (pow (pow (log1p (/ -1 N)) 2) 1/3) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ -1 N)) 2)))) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ -1 N)) 2))) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.823 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.823 * [misc]taylor: Taking taylor expansion of (log (pow (log1p (/ -1 N)) 2)) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328219.823 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328219.823 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.823 * [misc]backup-simplify: Simplify 1 into 1 1540328219.823 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328219.823 * [misc]taylor: Taking taylor expansion of -1 in N 1540328219.823 * [misc]backup-simplify: Simplify -1 into -1 1540328219.823 * [misc]taylor: Taking taylor expansion of N in N 1540328219.823 * [misc]backup-simplify: Simplify 0 into 0 1540328219.823 * [misc]backup-simplify: Simplify 1 into 1 1540328219.823 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328219.824 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328219.824 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328219.825 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.825 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.825 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.826 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1540328219.827 * [misc]backup-simplify: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 1540328219.827 * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 1540328219.828 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 1540328219.828 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328219.828 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328219.828 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328219.828 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328219.828 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328219.828 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328219.828 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328219.828 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328219.828 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328219.828 * [misc]taylor: Taking taylor expansion of 1 in N 1540328219.828 * [misc]backup-simplify: Simplify 1 into 1 1540328219.828 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328219.828 * [misc]taylor: Taking taylor expansion of -1 in N 1540328219.828 * [misc]backup-simplify: Simplify -1 into -1 1540328219.828 * [misc]taylor: Taking taylor expansion of N in N 1540328219.828 * [misc]backup-simplify: Simplify 0 into 0 1540328219.828 * [misc]backup-simplify: Simplify 1 into 1 1540328219.829 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328219.829 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328219.829 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328219.829 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.830 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.830 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328219.830 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328219.830 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328219.830 * [misc]taylor: Taking taylor expansion of (- (log (/ -1 N))) in N 1540328219.830 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1540328219.830 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328219.830 * [misc]taylor: Taking taylor expansion of -1 in N 1540328219.830 * [misc]backup-simplify: Simplify -1 into -1 1540328219.830 * [misc]taylor: Taking taylor expansion of N in N 1540328219.831 * [misc]backup-simplify: Simplify 0 into 0 1540328219.831 * [misc]backup-simplify: Simplify 1 into 1 1540328219.831 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328219.831 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328219.832 * [misc]backup-simplify: Simplify (* (pow (pow (- (log -1) (log N)) 2) 1/3) (pow (- (log -1) (log N)) 1/3)) into (- (log -1) (log N)) 1540328219.832 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.833 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1540328219.833 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1540328219.833 * [misc]backup-simplify: Simplify 0 into 0 1540328219.833 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328219.834 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.836 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540328219.837 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.838 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) 1540328219.838 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1540328219.839 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328219.840 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.840 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328219.840 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328219.842 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540328219.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.842 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 1540328219.843 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (log N)) (* 2 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 1) into (- (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1540328219.845 * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2)))) into (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1540328219.848 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1) 1)))) into (* (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) (pow (pow (- (log -1) (log N)) 2) 1/3)) 1540328219.851 * [misc]backup-simplify: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) (pow (pow (- (log -1) (log N)) 2) 1/3)) (pow (- (log -1) (log N)) 1/3))) into (- (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) 1/3))) 1540328219.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328219.853 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540328219.853 * [misc]backup-simplify: Simplify (- 0) into 0 1540328219.859 * [misc]backup-simplify: Simplify (+ (- (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) 1/3))) 0) into (- (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) 1/3))) 1540328219.864 * [misc]backup-simplify: Simplify (- (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) 1/3))) into (- (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ 1/3 (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2)))))) 1540328219.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.865 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.868 * [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 1540328219.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.870 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 1540328219.871 * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1540328219.873 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328219.874 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.877 * [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 1540328219.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.878 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 1540328219.884 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (log N)) (* 2 (log -1)))) 2)) (pow (pow (- (log -1) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (log N) 1) (log -1))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 2) into (* 1/2 (- (+ (* 8 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))))) (+ (* 4 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 4 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))))))) 1540328219.894 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 8 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))))) (+ (* 4 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 4 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))))) (+ (* 0 (- (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2))))) into (- (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))) 1540328219.913 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2) 2)) (* (/ (pow (- (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))) 1) 1)))) into (* (- (+ (* 8/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))))) (+ (* 4/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 4/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))) (pow (pow (- (log -1) (log N)) 2) 1/3)) 1540328219.932 * [misc]backup-simplify: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) (pow (pow (- (log -1) (log N)) 2) 1/3)) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (- (+ (* 8/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))))) (+ (* 4/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 4/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))) (pow (pow (- (log -1) (log N)) 2) 1/3)) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))))))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (* 1/6 (/ (log -1) (- (log -1) (log N)))))))))) 1540328219.933 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.936 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540328219.936 * [misc]backup-simplify: Simplify (- 0) into 0 1540328219.971 * [misc]backup-simplify: Simplify (+ (- (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))))))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (* 1/6 (/ (log -1) (- (log -1) (log N)))))))))) 0) into (- (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))))))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))))))))) 1540328219.993 * [misc]backup-simplify: Simplify (- (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))))))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))))))))) into (- (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 2/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))))))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))))))))) 1540328219.994 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.994 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328219.994 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328219.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328219.999 * [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 1540328219.999 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.004 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) 1540328220.009 * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2)))))) 1540328220.019 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)) (* (/ (pow (- (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2)))))) 1) 1)))) into (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.020 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.028 * [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 1540328220.028 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.029 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1540328220.044 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (log N)) (* 2 (log -1)))) 3)) (pow (pow (- (log -1) (log N)) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (log N)) (* 2 (log -1)))) 1) (pow (* 2 (- (+ (log N) 1) (log -1))) 1)) (pow (pow (- (log -1) (log N)) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 6) into (* 1/6 (- (+ (* 24 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 12 (/ (log -1) (pow (- (log -1) (log N)) 4))) (+ (* 6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 48 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 4 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 16 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 6)))))))) (+ (* 12 (/ (log N) (pow (- (log -1) (log N)) 4))) (+ (* 12 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 16 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 6))) (+ (* 12 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 48 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 6)))))))))) 1540328220.094 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/6 (- (+ (* 24 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 12 (/ (log -1) (pow (- (log -1) (log N)) 4))) (+ (* 6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 48 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 4 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 16 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 6)))))))) (+ (* 12 (/ (log N) (pow (- (log -1) (log N)) 4))) (+ (* 12 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 16 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 6))) (+ (* 12 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 48 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 6))))))))))) (+ (* 0 (* 1/2 (- (+ (* 8 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))))) (+ (* 4 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 4 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))))) (+ (* 0 (- (* 2 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2)))))) into (- (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 4))) (+ (* 8/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 2/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 8/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 6)))))))) (+ (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 4))) (+ (* 8/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 6))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 8/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 6))))))))) 1540328220.158 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 3) 6)) (* (/ (pow (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1) 1) (/ (pow (- (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))) 1) 1)) (* (/ (pow (- (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 4))) (+ (* 8/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 2/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 8/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 6)))))))) (+ (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 4))) (+ (* 8/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 6))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 8/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 6))))))))) 1) 1)))) into (* (- (+ (* 8/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 40/27 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 2/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 40/81 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 6)))))))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 40/81 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 40/27 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 6))))))))) (pow (pow (- (log -1) (log N)) 2) 1/3)) 1540328220.252 * [misc]backup-simplify: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (- (* 2/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2/3 (/ (log -1) (pow (- (log -1) (log N)) 2)))) (pow (pow (- (log -1) (log N)) 2) 1/3)) (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (- (+ (* 8/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))))) (+ (* 4/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (* 4/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4)))))) (pow (pow (- (log -1) (log N)) 2) 1/3)) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (- (+ (* 8/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 40/27 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 2/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 40/81 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 6)))))))) (+ (* 4/9 (/ (log N) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 2/9 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 40/81 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 40/27 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 6))))))))) (pow (pow (- (log -1) (log N)) 2) 1/3)) (pow (- (log -1) (log N)) 1/3))))) into (- (+ (* 4/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 160/81 (/ (* (pow (log N) 3) (log -1)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 160/81 (/ (* (log N) (pow (log -1) 3)) (pow (- (log -1) (log N)) 6)))))))))))))) (+ (* 40/81 (/ (pow (log N) 4) (pow (- (log -1) (log N)) 6))) (+ (* 40/81 (/ (pow (log -1) 4) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 80/27 (/ (* (pow (log N) 2) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 2/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2)))))))))))))))) 1540328220.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.260 * [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 1540328220.260 * [misc]backup-simplify: Simplify (- 0) into 0 1540328220.382 * [misc]backup-simplify: Simplify (+ (- (+ (* 4/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 160/81 (/ (* (pow (log N) 3) (log -1)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 160/81 (/ (* (log N) (pow (log -1) 3)) (pow (- (log -1) (log N)) 6)))))))))))))) (+ (* 40/81 (/ (pow (log N) 4) (pow (- (log -1) (log N)) 6))) (+ (* 40/81 (/ (pow (log -1) 4) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 80/27 (/ (* (pow (log N) 2) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 2/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2)))))))))))))))) 0) into (- (+ (* 4/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 160/81 (/ (* (pow (log N) 3) (log -1)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 160/81 (/ (* (log N) (pow (log -1) 3)) (pow (- (log -1) (log N)) 6)))))))))))))) (+ (* 40/81 (/ (pow (log N) 4) (pow (- (log -1) (log N)) 6))) (+ (* 40/81 (/ (pow (log -1) 4) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 80/27 (/ (* (pow (log N) 2) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (* 2/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2)))))))))))))))) 1540328220.506 * [misc]backup-simplify: Simplify (- (+ (* 4/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 160/81 (/ (* (pow (log N) 3) (log -1)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 160/81 (/ (* (log N) (pow (log -1) 3)) (pow (- (log -1) (log N)) 6)))))))))))))) (+ (* 40/81 (/ (pow (log N) 4) (pow (- (log -1) (log N)) 6))) (+ (* 40/81 (/ (pow (log -1) 4) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 80/27 (/ (* (pow (log N) 2) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (* 2/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2)))))))))))))))) into (- (+ (* 4/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (* 160/81 (/ (* (pow (log N) 3) (log -1)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 3))) (+ (* 2/3 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (+ (* 4/9 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (+ (* 4/3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 4))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 160/81 (/ (* (log N) (pow (log -1) 3)) (pow (- (log -1) (log N)) 6)))))))))))))) (+ (* 40/81 (/ (pow (log N) 4) (pow (- (log -1) (log N)) 6))) (+ (* 40/81 (/ (pow (log -1) 4) (pow (- (log -1) (log N)) 6))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 80/27 (/ (* (pow (log N) 2) (pow (log -1) 2)) (pow (- (log -1) (log N)) 6))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (+ (* 2/9 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 4/3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/3 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (log -1)) (pow (- (log -1) (log N)) 4))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 2/9 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2)))))))))))))))) 1540328220.673 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 4/9 (/ (* (log (/ 1 (- N))) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 160/81 (/ (* (pow (log (/ 1 (- N))) 3) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 6))) (+ (* 1/9 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 1/3 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 1/9 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 1/9 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 2/3 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 4/9 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 4/3 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 5/81 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 160/81 (/ (* (log (/ 1 (- N))) (pow (log -1) 3)) (pow (- (log -1) (log (/ 1 (- N)))) 6)))))))))))))) (+ (* 40/81 (/ (pow (log (/ 1 (- N))) 4) (pow (- (log -1) (log (/ 1 (- N)))) 6))) (+ (* 40/81 (/ (pow (log -1) 4) (pow (- (log -1) (log (/ 1 (- N)))) 6))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 80/27 (/ (* (pow (log (/ 1 (- N))) 2) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 6))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 2/9 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 2/9 (/ (* (log (/ 1 (- N))) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 4/3 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 1/3 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 4/3 (/ (* (log (/ 1 (- N))) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 1/9 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 2/9 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 4/3 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 4/9 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 2/3 (/ (* (log (/ 1 (- N))) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 1/6 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (* 4/9 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))) (+ (* 4/3 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 1/3 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 4/9 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 4/9 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 1/6 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (* 1/3 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 4/3 (/ (* (log (/ 1 (- N))) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ 1/3 (+ (* 2/3 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 2/3 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))) (/ 1 (- N))))) into (- (+ (* 2/3 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 2/3 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 4/9 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 1/9 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/9 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 2/9 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 5/81 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 4/3 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 4/3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 2/9 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 2/3 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 4/3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (+ (* 1/3 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 40/81 (/ (pow (log -1) 4) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 1/6 (/ (log (/ -1 N)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 40/81 (/ (pow (log (/ -1 N)) 4) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 1/3 (/ 1 N)) (+ (* 80/27 (/ (* (pow (log (/ -1 N)) 2) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 2/9 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 4/9 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (* 4/9 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))))))))))))))))))))))) (+ (* 4/9 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 1/9 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/9 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/6 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 1/3 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 2/3 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 4/3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (+ (* 4/9 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 4/3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 160/81 (/ (* (pow (log (/ -1 N)) 3) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 1/3 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 4/9 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (+ (* 2/3 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 1/3 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 4/9 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 4/3 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 5/81 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (* 160/81 (/ (* (log (/ -1 N)) (pow (log -1) 3)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))))))))))))))))))))))) 1540328220.673 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1540328220.674 * [misc]backup-simplify: Simplify (cbrt (log1p N)) into (pow (log1p N) 1/3) 1540328220.674 * [misc]approximate: Taking taylor expansion of (pow (log1p N) 1/3) in (N) around 0 1540328220.674 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328220.674 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328220.674 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328220.674 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.674 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.674 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328220.674 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328220.674 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328220.674 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328220.674 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.674 * [misc]backup-simplify: Simplify 1 into 1 1540328220.674 * [misc]taylor: Taking taylor expansion of N in N 1540328220.674 * [misc]backup-simplify: Simplify 0 into 0 1540328220.674 * [misc]backup-simplify: Simplify 1 into 1 1540328220.675 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.675 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.675 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.677 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.678 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.678 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.678 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328220.678 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328220.678 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328220.678 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328220.678 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328220.678 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.678 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.678 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328220.678 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328220.678 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328220.678 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328220.678 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.678 * [misc]backup-simplify: Simplify 1 into 1 1540328220.678 * [misc]taylor: Taking taylor expansion of N in N 1540328220.678 * [misc]backup-simplify: Simplify 0 into 0 1540328220.678 * [misc]backup-simplify: Simplify 1 into 1 1540328220.679 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.679 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.679 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.681 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.681 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.681 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328220.681 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328220.681 * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) 1540328220.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.684 * [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 1540328220.686 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540328220.686 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.686 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1540328220.687 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1540328220.687 * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 1540328220.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.692 * [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 1540328220.694 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1540328220.694 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.695 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1540328220.696 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1540328220.696 * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 1540328220.697 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow N 1/3)) (pow N 2)) (+ (* (* -1/6 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) 1540328220.697 * [misc]backup-simplify: Simplify (cbrt (log1p (/ 1 N))) into (pow (log1p (/ 1 N)) 1/3) 1540328220.697 * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in (N) around 0 1540328220.697 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328220.697 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328220.697 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328220.697 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.697 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.697 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328220.697 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328220.697 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328220.697 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328220.697 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.697 * [misc]backup-simplify: Simplify 1 into 1 1540328220.697 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328220.697 * [misc]taylor: Taking taylor expansion of N in N 1540328220.697 * [misc]backup-simplify: Simplify 0 into 0 1540328220.697 * [misc]backup-simplify: Simplify 1 into 1 1540328220.697 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328220.697 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.698 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.698 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.698 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.698 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328220.698 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328220.698 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328220.698 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328220.698 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328220.698 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328220.698 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.698 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.698 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328220.698 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328220.698 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328220.698 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328220.698 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.698 * [misc]backup-simplify: Simplify 1 into 1 1540328220.698 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328220.698 * [misc]taylor: Taking taylor expansion of N in N 1540328220.698 * [misc]backup-simplify: Simplify 0 into 0 1540328220.698 * [misc]backup-simplify: Simplify 1 into 1 1540328220.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328220.698 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.699 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.699 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.699 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.699 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328220.699 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328220.699 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328220.699 * [misc]backup-simplify: Simplify (pow (- (log N)) 1/3) into (pow (- (log N)) 1/3) 1540328220.699 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328220.700 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.701 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 1540328220.702 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) 1540328220.702 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328220.703 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328220.703 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.703 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.706 * [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 1540328220.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.711 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 1540328220.712 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1540328220.713 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328220.714 * [misc]backup-simplify: Simplify (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328220.716 * [misc]backup-simplify: Simplify (+ (* (* (pow (* (log (/ 1 N)) -1) 1/3) (- (* 1/6 (/ 1 (log (/ 1 N)))) (* 1/9 (/ 1 (pow (log (/ 1 N)) 2))))) (pow (/ 1 N) 2)) (+ (* (* -1/3 (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3)) (/ 1 N)) (pow (- (log (/ 1 N))) 1/3))) into (- (+ (pow (- (log (/ 1 N))) 1/3) (* 1/6 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 (pow N 2))))) (+ (* 1/9 (* (pow (/ -1 (pow (log (/ 1 N)) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/3 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 N))))) 1540328220.716 * [misc]backup-simplify: Simplify (cbrt (log1p (/ 1 (- N)))) into (pow (log1p (/ -1 N)) 1/3) 1540328220.717 * [misc]approximate: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in (N) around 0 1540328220.717 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328220.717 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328220.717 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328220.717 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.717 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.717 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328220.717 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328220.717 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328220.717 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328220.717 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.717 * [misc]backup-simplify: Simplify 1 into 1 1540328220.717 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328220.717 * [misc]taylor: Taking taylor expansion of -1 in N 1540328220.717 * [misc]backup-simplify: Simplify -1 into -1 1540328220.717 * [misc]taylor: Taking taylor expansion of N in N 1540328220.717 * [misc]backup-simplify: Simplify 0 into 0 1540328220.717 * [misc]backup-simplify: Simplify 1 into 1 1540328220.717 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328220.717 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328220.717 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328220.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.718 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328220.718 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328220.718 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328220.718 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328220.718 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328220.718 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328220.718 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.718 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.718 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328220.718 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328220.718 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328220.718 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328220.718 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.718 * [misc]backup-simplify: Simplify 1 into 1 1540328220.718 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328220.718 * [misc]taylor: Taking taylor expansion of -1 in N 1540328220.718 * [misc]backup-simplify: Simplify -1 into -1 1540328220.719 * [misc]taylor: Taking taylor expansion of N in N 1540328220.719 * [misc]backup-simplify: Simplify 0 into 0 1540328220.719 * [misc]backup-simplify: Simplify 1 into 1 1540328220.719 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328220.719 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328220.719 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328220.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.719 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328220.720 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328220.720 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328220.720 * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 1/3) into (pow (- (log -1) (log N)) 1/3) 1540328220.720 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328220.720 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.722 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540328220.722 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.723 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) 1540328220.723 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1540328220.724 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328220.724 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328220.725 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.728 * [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 1540328220.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.730 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 1540328220.731 * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1540328220.733 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.734 * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.738 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1/6 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (pow (- (log -1) (log (/ 1 (- N)))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2)) 1/3)) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 1/3))) into (- (+ (pow (- (log -1) (log (/ -1 N))) 1/3) (* 1/3 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 N)))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/6 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 (pow N 2)))))) 1540328220.738 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) 1540328220.738 * [misc]backup-simplify: Simplify (cbrt (log1p N)) into (pow (log1p N) 1/3) 1540328220.738 * [misc]approximate: Taking taylor expansion of (pow (log1p N) 1/3) in (N) around 0 1540328220.738 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328220.738 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328220.738 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328220.738 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.738 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.738 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328220.738 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328220.738 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328220.738 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328220.738 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.738 * [misc]backup-simplify: Simplify 1 into 1 1540328220.738 * [misc]taylor: Taking taylor expansion of N in N 1540328220.738 * [misc]backup-simplify: Simplify 0 into 0 1540328220.738 * [misc]backup-simplify: Simplify 1 into 1 1540328220.739 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.739 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.739 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.740 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.741 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.741 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328220.741 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328220.741 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328220.741 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328220.741 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328220.741 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.741 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.741 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328220.741 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328220.741 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328220.741 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328220.741 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.741 * [misc]backup-simplify: Simplify 1 into 1 1540328220.741 * [misc]taylor: Taking taylor expansion of N in N 1540328220.741 * [misc]backup-simplify: Simplify 0 into 0 1540328220.741 * [misc]backup-simplify: Simplify 1 into 1 1540328220.741 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.741 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.741 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.743 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.743 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.743 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.743 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328220.743 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328220.743 * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) 1540328220.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.746 * [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 1540328220.748 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540328220.748 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.748 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1540328220.749 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1540328220.749 * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 1540328220.749 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.753 * [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 1540328220.756 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1540328220.756 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.756 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1540328220.758 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1540328220.758 * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 1540328220.758 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow N 1/3)) (pow N 2)) (+ (* (* -1/6 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) 1540328220.759 * [misc]backup-simplify: Simplify (cbrt (log1p (/ 1 N))) into (pow (log1p (/ 1 N)) 1/3) 1540328220.759 * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in (N) around 0 1540328220.759 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328220.759 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328220.759 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328220.759 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.759 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.759 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328220.759 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328220.759 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328220.759 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328220.759 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.759 * [misc]backup-simplify: Simplify 1 into 1 1540328220.759 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328220.759 * [misc]taylor: Taking taylor expansion of N in N 1540328220.759 * [misc]backup-simplify: Simplify 0 into 0 1540328220.759 * [misc]backup-simplify: Simplify 1 into 1 1540328220.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328220.759 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.759 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.760 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328220.760 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328220.760 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328220.760 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328220.760 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328220.760 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328220.760 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.760 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.760 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328220.760 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328220.760 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328220.760 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328220.760 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.760 * [misc]backup-simplify: Simplify 1 into 1 1540328220.760 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328220.760 * [misc]taylor: Taking taylor expansion of N in N 1540328220.760 * [misc]backup-simplify: Simplify 0 into 0 1540328220.760 * [misc]backup-simplify: Simplify 1 into 1 1540328220.760 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328220.760 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.760 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.761 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328220.761 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328220.761 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328220.761 * [misc]backup-simplify: Simplify (pow (- (log N)) 1/3) into (pow (- (log N)) 1/3) 1540328220.761 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328220.761 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.763 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 1540328220.764 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) 1540328220.764 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328220.765 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328220.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.765 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.768 * [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 1540328220.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.770 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 1540328220.770 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1540328220.771 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328220.773 * [misc]backup-simplify: Simplify (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328220.778 * [misc]backup-simplify: Simplify (+ (* (* (pow (* (log (/ 1 N)) -1) 1/3) (- (* 1/6 (/ 1 (log (/ 1 N)))) (* 1/9 (/ 1 (pow (log (/ 1 N)) 2))))) (pow (/ 1 N) 2)) (+ (* (* -1/3 (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3)) (/ 1 N)) (pow (- (log (/ 1 N))) 1/3))) into (- (+ (pow (- (log (/ 1 N))) 1/3) (* 1/6 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 (pow N 2))))) (+ (* 1/9 (* (pow (/ -1 (pow (log (/ 1 N)) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/3 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 N))))) 1540328220.778 * [misc]backup-simplify: Simplify (cbrt (log1p (/ 1 (- N)))) into (pow (log1p (/ -1 N)) 1/3) 1540328220.778 * [misc]approximate: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in (N) around 0 1540328220.778 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328220.778 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328220.778 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328220.778 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.778 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.778 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328220.778 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328220.779 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328220.779 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328220.779 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.779 * [misc]backup-simplify: Simplify 1 into 1 1540328220.779 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328220.779 * [misc]taylor: Taking taylor expansion of -1 in N 1540328220.779 * [misc]backup-simplify: Simplify -1 into -1 1540328220.779 * [misc]taylor: Taking taylor expansion of N in N 1540328220.779 * [misc]backup-simplify: Simplify 0 into 0 1540328220.779 * [misc]backup-simplify: Simplify 1 into 1 1540328220.779 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328220.779 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328220.779 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328220.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.780 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328220.781 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328220.781 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328220.781 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328220.781 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328220.781 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328220.781 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.781 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.781 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328220.781 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328220.781 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328220.781 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328220.781 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.781 * [misc]backup-simplify: Simplify 1 into 1 1540328220.781 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328220.781 * [misc]taylor: Taking taylor expansion of -1 in N 1540328220.781 * [misc]backup-simplify: Simplify -1 into -1 1540328220.781 * [misc]taylor: Taking taylor expansion of N in N 1540328220.782 * [misc]backup-simplify: Simplify 0 into 0 1540328220.782 * [misc]backup-simplify: Simplify 1 into 1 1540328220.782 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328220.782 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328220.782 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328220.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.783 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.783 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328220.783 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328220.784 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328220.784 * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 1/3) into (pow (- (log -1) (log N)) 1/3) 1540328220.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328220.785 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.787 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540328220.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.789 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) 1540328220.789 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1540328220.790 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328220.791 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328220.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.792 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.796 * [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 1540328220.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.800 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 1540328220.802 * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1540328220.805 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.807 * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.814 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1/6 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (pow (- (log -1) (log (/ 1 (- N)))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2)) 1/3)) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 1/3))) into (- (+ (pow (- (log -1) (log (/ -1 N))) 1/3) (* 1/3 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 N)))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/6 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 (pow N 2)))))) 1540328220.814 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1540328220.814 * [misc]backup-simplify: Simplify (cbrt (log1p N)) into (pow (log1p N) 1/3) 1540328220.814 * [misc]approximate: Taking taylor expansion of (pow (log1p N) 1/3) in (N) around 0 1540328220.814 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328220.814 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328220.814 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328220.814 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.814 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.814 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328220.815 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328220.815 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328220.815 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328220.815 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.815 * [misc]backup-simplify: Simplify 1 into 1 1540328220.815 * [misc]taylor: Taking taylor expansion of N in N 1540328220.815 * [misc]backup-simplify: Simplify 0 into 0 1540328220.815 * [misc]backup-simplify: Simplify 1 into 1 1540328220.815 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.815 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.815 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.818 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.818 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.818 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328220.818 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328220.818 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 1/3) in N 1540328220.818 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p N)))) in N 1540328220.818 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p N))) in N 1540328220.818 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.818 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.818 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N 1540328220.818 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540328220.818 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540328220.818 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540328220.818 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.818 * [misc]backup-simplify: Simplify 1 into 1 1540328220.819 * [misc]taylor: Taking taylor expansion of N in N 1540328220.819 * [misc]backup-simplify: Simplify 0 into 0 1540328220.819 * [misc]backup-simplify: Simplify 1 into 1 1540328220.819 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.819 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.819 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.825 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.825 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.825 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1540328220.826 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1540328220.826 * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) 1540328220.826 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.830 * [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 1540328220.832 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540328220.832 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.833 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1540328220.834 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1540328220.834 * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 1540328220.834 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.841 * [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 1540328220.844 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1540328220.845 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540328220.845 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1540328220.847 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1540328220.847 * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 1540328220.848 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow N 1/3)) (pow N 2)) (+ (* (* -1/6 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) 1540328220.848 * [misc]backup-simplify: Simplify (cbrt (log1p (/ 1 N))) into (pow (log1p (/ 1 N)) 1/3) 1540328220.848 * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in (N) around 0 1540328220.848 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328220.848 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328220.848 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328220.848 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.848 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.848 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328220.848 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328220.849 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328220.849 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328220.849 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.849 * [misc]backup-simplify: Simplify 1 into 1 1540328220.849 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328220.849 * [misc]taylor: Taking taylor expansion of N in N 1540328220.849 * [misc]backup-simplify: Simplify 0 into 0 1540328220.849 * [misc]backup-simplify: Simplify 1 into 1 1540328220.849 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328220.849 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.849 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.849 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.850 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.850 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328220.850 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328220.850 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328220.850 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 1/3) in N 1540328220.850 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ 1 N))))) in N 1540328220.850 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ 1 N)))) in N 1540328220.850 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.850 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.850 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N 1540328220.850 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540328220.850 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540328220.850 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540328220.850 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.850 * [misc]backup-simplify: Simplify 1 into 1 1540328220.850 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540328220.850 * [misc]taylor: Taking taylor expansion of N in N 1540328220.850 * [misc]backup-simplify: Simplify 0 into 0 1540328220.850 * [misc]backup-simplify: Simplify 1 into 1 1540328220.850 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540328220.851 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540328220.851 * [misc]backup-simplify: Simplify (log 1) into 0 1540328220.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.851 * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) 1540328220.851 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1540328220.851 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1540328220.852 * [misc]backup-simplify: Simplify (pow (- (log N)) 1/3) into (pow (- (log N)) 1/3) 1540328220.852 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540328220.852 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.854 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540328220.854 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.855 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 1540328220.856 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) 1540328220.856 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328220.856 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 1540328220.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.857 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.860 * [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 1540328220.860 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540328220.861 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 1540328220.862 * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1540328220.863 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328220.864 * [misc]backup-simplify: Simplify (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 1540328220.867 * [misc]backup-simplify: Simplify (+ (* (* (pow (* (log (/ 1 N)) -1) 1/3) (- (* 1/6 (/ 1 (log (/ 1 N)))) (* 1/9 (/ 1 (pow (log (/ 1 N)) 2))))) (pow (/ 1 N) 2)) (+ (* (* -1/3 (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3)) (/ 1 N)) (pow (- (log (/ 1 N))) 1/3))) into (- (+ (pow (- (log (/ 1 N))) 1/3) (* 1/6 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 (pow N 2))))) (+ (* 1/9 (* (pow (/ -1 (pow (log (/ 1 N)) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/3 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 N))))) 1540328220.867 * [misc]backup-simplify: Simplify (cbrt (log1p (/ 1 (- N)))) into (pow (log1p (/ -1 N)) 1/3) 1540328220.867 * [misc]approximate: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in (N) around 0 1540328220.867 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328220.867 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328220.867 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328220.867 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.867 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.867 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328220.867 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328220.867 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328220.867 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328220.867 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.867 * [misc]backup-simplify: Simplify 1 into 1 1540328220.867 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328220.867 * [misc]taylor: Taking taylor expansion of -1 in N 1540328220.867 * [misc]backup-simplify: Simplify -1 into -1 1540328220.867 * [misc]taylor: Taking taylor expansion of N in N 1540328220.867 * [misc]backup-simplify: Simplify 0 into 0 1540328220.867 * [misc]backup-simplify: Simplify 1 into 1 1540328220.867 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328220.868 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328220.868 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328220.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.868 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328220.868 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328220.869 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328220.869 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ -1 N)) 1/3) in N 1540328220.869 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log1p (/ -1 N))))) in N 1540328220.869 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log1p (/ -1 N)))) in N 1540328220.869 * [misc]taylor: Taking taylor expansion of 1/3 in N 1540328220.869 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540328220.869 * [misc]taylor: Taking taylor expansion of (log (log1p (/ -1 N))) in N 1540328220.869 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540328220.869 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540328220.869 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540328220.869 * [misc]taylor: Taking taylor expansion of 1 in N 1540328220.869 * [misc]backup-simplify: Simplify 1 into 1 1540328220.869 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540328220.869 * [misc]taylor: Taking taylor expansion of -1 in N 1540328220.869 * [misc]backup-simplify: Simplify -1 into -1 1540328220.869 * [misc]taylor: Taking taylor expansion of N in N 1540328220.869 * [misc]backup-simplify: Simplify 0 into 0 1540328220.869 * [misc]backup-simplify: Simplify 1 into 1 1540328220.869 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540328220.869 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540328220.869 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540328220.869 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.870 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.870 * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1540328220.870 * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1540328220.870 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1540328220.871 * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 1/3) into (pow (- (log -1) (log N)) 1/3) 1540328220.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540328220.871 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540328220.872 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540328220.873 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.874 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) 1540328220.874 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1540328220.875 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328220.875 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1540328220.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.876 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540328220.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540328220.878 * [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 1540328220.879 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540328220.881 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 1540328220.882 * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1540328220.884 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.885 * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) into (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/6 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) 1540328220.889 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 1/9 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1/6 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (pow (- (log -1) (log (/ 1 (- N)))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2)) 1/3)) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 1/3))) into (- (+ (pow (- (log -1) (log (/ -1 N))) 1/3) (* 1/3 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 N)))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/6 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 (pow N 2)))))) 1540328220.889 * * * [misc]progress: simplifying candidates 1540328220.889 * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # 1540328220.889 * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # 1540328220.890 * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # 1540328220.890 * [enter]simplify: Simplifying (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) 1540328220.890 * * [misc]simplify: iters left: 5 (5 enodes) 1540328220.891 * [exit]simplify: Simplified to (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) 1540328220.891 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (* (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (cbrt (cbrt (log1p N)))) (- (log N)))) 1540328220.891 * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # 1540328220.892 * [enter]simplify: Simplifying (cbrt (sqrt (log1p N))) 1540328220.892 * * [misc]simplify: iters left: 3 (4 enodes) 1540328220.893 * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) 1540328220.893 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (- (log N)))) 1540328220.893 * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # 1540328220.893 * [enter]simplify: Simplifying (cbrt 1) 1540328220.893 * * [misc]simplify: iters left: 1 (2 enodes) 1540328220.894 * [exit]simplify: Simplified to 1 1540328220.894 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (* 1 (cbrt (log1p N))) (- (log N)))) 1540328220.894 * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # 1540328220.894 * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # 1540328220.895 * [enter]simplify: Simplifying (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) 1540328220.895 * * [misc]simplify: iters left: 5 (5 enodes) 1540328220.896 * [exit]simplify: Simplified to (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) 1540328220.896 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (fma (* (cbrt (log1p N)) (* (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (cbrt (cbrt (log1p N))))) (cbrt (log1p N)) (- (log N)))) 1540328220.896 * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # 1540328220.896 * [enter]simplify: Simplifying (cbrt (sqrt (log1p N))) 1540328220.897 * * [misc]simplify: iters left: 3 (4 enodes) 1540328220.897 * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) 1540328220.897 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (fma (* (cbrt (log1p N)) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N))))) (cbrt (log1p N)) (- (log N)))) 1540328220.897 * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # 1540328220.898 * [enter]simplify: Simplifying (cbrt 1) 1540328220.898 * * [misc]simplify: iters left: 1 (2 enodes) 1540328220.899 * [exit]simplify: Simplified to 1 1540328220.899 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (fma (* (cbrt (log1p N)) (* 1 (cbrt (log1p N)))) (cbrt (log1p N)) (- (log N)))) 1540328220.899 * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # 1540328220.899 * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # 1540328220.899 * [enter]simplify: Simplifying (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) 1540328220.900 * * [misc]simplify: iters left: 5 (5 enodes) 1540328220.902 * [exit]simplify: Simplified to (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) 1540328220.902 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (fma (* (* (cbrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (cbrt (cbrt (log1p N)))) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328220.902 * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # 1540328220.902 * [enter]simplify: Simplifying (cbrt (sqrt (log1p N))) 1540328220.902 * * [misc]simplify: iters left: 3 (4 enodes) 1540328220.904 * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) 1540328220.904 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (fma (* (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328220.904 * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # 1540328220.904 * [enter]simplify: Simplifying (cbrt 1) 1540328220.904 * * [misc]simplify: iters left: 1 (2 enodes) 1540328220.906 * [exit]simplify: Simplified to 1 1540328220.906 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (fma (* (* 1 (cbrt (log1p N))) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328220.906 * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # 1540328220.906 * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # 1540328220.906 * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # 1540328220.906 * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # 1540328220.906 * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # 1540328220.906 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (+ (* 1/2 (pow N 2)) (log N))) 1540328220.907 * * [misc]simplify: iters left: 6 (13 enodes) 1540328220.913 * * [misc]simplify: iters left: 5 (27 enodes) 1540328220.927 * * [misc]simplify: iters left: 4 (69 enodes) 1540328220.982 * * [misc]simplify: iters left: 3 (175 enodes) 1540328221.097 * * [misc]simplify: iters left: 2 (336 enodes) 1540328221.335 * [exit]simplify: Simplified to (fma (* N N) (fma N 1/3 -1/2) (- N (log N))) 1540328221.335 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N N) (fma N 1/3 -1/2) (- N (log N)))) 1540328221.335 * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # 1540328221.336 * [enter]simplify: Simplifying (- (+ (log (/ 1 N)) (+ (* 1/2 (* (/ 1 (pow N 2)) (pow -1 1/3))) (* (log (/ 1 N)) (pow -1 1/3)))) (* (/ 1 N) (pow -1 1/3))) 1540328221.338 * * [misc]simplify: iters left: 6 (18 enodes) 1540328221.350 * * [misc]simplify: iters left: 5 (44 enodes) 1540328221.378 * * [misc]simplify: iters left: 4 (106 enodes) 1540328221.462 * * [misc]simplify: iters left: 3 (339 enodes) 1540328221.985 * [exit]simplify: Simplified to (fma (cbrt -1) (+ (/ (/ 1/2 N) N) (- (log N))) (- (- (log N)) (/ (cbrt -1) N))) 1540328221.985 * [misc]simplify: Simplified (2) to (λ (N) (fma (cbrt -1) (+ (/ (/ 1/2 N) N) (- (log N))) (- (- (log N)) (/ (cbrt -1) N)))) 1540328221.985 * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # 1540328221.986 * [enter]simplify: Simplifying (- (+ (* 2/3 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 2/3 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 4/9 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 1/9 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/9 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 2/9 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 5/81 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 4/3 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 4/3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 2/9 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 2/3 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 4/3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (+ (* 1/3 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 40/81 (/ (pow (log -1) 4) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 1/6 (/ (log (/ -1 N)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 40/81 (/ (pow (log (/ -1 N)) 4) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 1/3 (/ 1 N)) (+ (* 80/27 (/ (* (pow (log (/ -1 N)) 2) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 2/9 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 4/9 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (* 4/9 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))))))))))))))))))))))) (+ (* 4/9 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 1/9 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/9 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/6 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 1/3 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 2/3 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 4/3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (+ (* 4/9 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 4/3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 160/81 (/ (* (pow (log (/ -1 N)) 3) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (* 1/3 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 4/9 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 2)))) (+ (* 2/3 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 4) (pow N 3)))) (+ (* 1/3 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 4/9 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 4/3 (/ (* (log (/ -1 N)) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 5/81 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (* 160/81 (/ (* (log (/ -1 N)) (pow (log -1) 3)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))))))))))))))))))))))) 1540328222.005 * * [misc]simplify: iters left: 6 (168 enodes) 1540328222.435 * [exit]simplify: Simplified to (+ (/ (* 2/3 (* (log (/ -1 N)) (log (/ -1 N)))) (* N (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (- (+ (+ (/ (* 2/3 (* (log -1) (log (/ -1 N)))) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 4/9 (pow (log -1) 3)) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 1/9 (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (/ 1/9 (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 2/9 (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 5/81 (log -1)) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (+ (+ (/ (* 4/3 (* (log -1) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 4/3 (* (log -1) (* (log (/ -1 N)) (log (/ -1 N))))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 2/9 (* (log -1) (log -1))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 2/3 (* (log -1) (log -1))) (* N (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 4/3 (* (* (log -1) (log -1)) (log (/ -1 N)))) (* (* N N) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 1/3 (log (/ -1 N))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 40/81 (pow (log -1) 4)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))) (/ (* 1/6 (log (/ -1 N))) (* (* N N) (- (log -1) (log (/ -1 N)))))) (+ (+ (/ (* 40/81 (pow (log (/ -1 N)) 4)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))) (/ 1/3 N)) (+ (+ (/ (* 80/27 (* (* (log -1) (log -1)) (* (log (/ -1 N)) (log (/ -1 N))))) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))) (/ (* 2/9 (* (log -1) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (fma 4/9 (/ (/ (pow (log (/ -1 N)) 3) (pow (- (log -1) (log (/ -1 N))) 4)) (* N N)) (/ (* 4/9 (log -1)) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))))))))))))) (fma 4/9 (/ (log (/ -1 N)) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (+ (/ (* 1/9 (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3))) (/ (* 1/9 (* (log -1) (log -1))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (+ (+ (/ (* 1/6 (log -1)) (* (* N N) (- (log -1) (log (/ -1 N))))) (/ (* 1/3 (* (log (/ -1 N)) (log (/ -1 N)))) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 1/9 (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (/ (* 2/3 (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 4/3 (* (log -1) (* (log (/ -1 N)) (log (/ -1 N))))) (* (* N N) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 4/9 (pow (log (/ -1 N)) 3)) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 4/3 (* (* (log -1) (log -1)) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 160/81 (* (pow (log (/ -1 N)) 3) (log -1))) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (+ (/ (* 1/3 (* (log -1) (log -1))) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 4/9 (pow (log -1) 3)) (* (* N N) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 2/3 (* (log -1) (log -1))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 1/3 (log -1)) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 4/9 (* (log -1) (log (/ -1 N)))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 4/3 (* (log -1) (log (/ -1 N)))) (* N (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (fma 5/81 (/ (/ (log (/ -1 N)) (pow (- (log -1) (log (/ -1 N))) 3)) (pow N 3)) (/ (* 160/81 (* (log (/ -1 N)) (pow (log -1) 3))) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))))))))))))))) 1540328222.435 * [misc]simplify: Simplified (2) to (λ (N) (+ (/ (* 2/3 (* (log (/ -1 N)) (log (/ -1 N)))) (* N (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (- (+ (+ (/ (* 2/3 (* (log -1) (log (/ -1 N)))) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 4/9 (pow (log -1) 3)) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 1/9 (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (/ 1/9 (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 2/9 (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 5/81 (log -1)) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (+ (+ (/ (* 4/3 (* (log -1) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 4/3 (* (log -1) (* (log (/ -1 N)) (log (/ -1 N))))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 2/9 (* (log -1) (log -1))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 2/3 (* (log -1) (log -1))) (* N (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 4/3 (* (* (log -1) (log -1)) (log (/ -1 N)))) (* (* N N) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 1/3 (log (/ -1 N))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 40/81 (pow (log -1) 4)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))) (/ (* 1/6 (log (/ -1 N))) (* (* N N) (- (log -1) (log (/ -1 N)))))) (+ (+ (/ (* 40/81 (pow (log (/ -1 N)) 4)) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))) (/ 1/3 N)) (+ (+ (/ (* 80/27 (* (* (log -1) (log -1)) (* (log (/ -1 N)) (log (/ -1 N))))) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3))) (/ (* 2/9 (* (log -1) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (fma 4/9 (/ (/ (pow (log (/ -1 N)) 3) (pow (- (log -1) (log (/ -1 N))) 4)) (* N N)) (/ (* 4/9 (log -1)) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))))))))))))) (fma 4/9 (/ (log (/ -1 N)) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (+ (/ (* 1/9 (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3))) (/ (* 1/9 (* (log -1) (log -1))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (+ (+ (/ (* 1/6 (log -1)) (* (* N N) (- (log -1) (log (/ -1 N))))) (/ (* 1/3 (* (log (/ -1 N)) (log (/ -1 N)))) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 1/9 (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (/ (* 2/3 (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 4/3 (* (log -1) (* (log (/ -1 N)) (log (/ -1 N))))) (* (* N N) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 4/9 (pow (log (/ -1 N)) 3)) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 4/3 (* (* (log -1) (log -1)) (log (/ -1 N)))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 160/81 (* (pow (log (/ -1 N)) 3) (log -1))) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))) (+ (+ (/ (* 1/3 (* (log -1) (log -1))) (* (* N N) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 4/9 (pow (log -1) 3)) (* (* N N) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (+ (/ (* 2/3 (* (log -1) (log -1))) (* (pow N 3) (pow (- (log -1) (log (/ -1 N))) 4))) (/ (* 1/3 (log -1)) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (/ (* 4/9 (* (log -1) (log (/ -1 N)))) (* (pow N 3) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (* 4/3 (* (log -1) (log (/ -1 N)))) (* N (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (fma 5/81 (/ (/ (log (/ -1 N)) (pow (- (log -1) (log (/ -1 N))) 3)) (pow N 3)) (/ (* 160/81 (* (log (/ -1 N)) (pow (log -1) 3))) (* (pow (- (log -1) (log (/ -1 N))) 6) (pow N 3)))))))))))))))) 1540328222.435 * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # 1540328222.435 * [enter]simplify: Simplifying (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) 1540328222.437 * * [misc]simplify: iters left: 6 (15 enodes) 1540328222.444 * * [misc]simplify: iters left: 5 (25 enodes) 1540328222.452 * * [misc]simplify: iters left: 4 (44 enodes) 1540328222.460 * * [misc]simplify: iters left: 3 (59 enodes) 1540328222.469 * * [misc]simplify: iters left: 2 (74 enodes) 1540328222.480 * * [misc]simplify: iters left: 1 (81 enodes) 1540328222.512 * [exit]simplify: Simplified to (fma (cbrt (pow N 7)) 1/12 (fma -1/6 (cbrt (pow N 4)) (cbrt N))) 1540328222.512 * [misc]simplify: Simplified (2 2) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (fma (cbrt (pow N 7)) 1/12 (fma -1/6 (cbrt (pow N 4)) (cbrt N))) (- (log N)))) 1540328222.512 * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # 1540328222.512 * [enter]simplify: Simplifying (- (+ (pow (- (log (/ 1 N))) 1/3) (* 1/6 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 (pow N 2))))) (+ (* 1/9 (* (pow (/ -1 (pow (log (/ 1 N)) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/3 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 N))))) 1540328222.516 * * [misc]simplify: iters left: 6 (29 enodes) 1540328222.530 * * [misc]simplify: iters left: 5 (66 enodes) 1540328222.550 * * [misc]simplify: iters left: 4 (147 enodes) 1540328222.668 * * [misc]simplify: iters left: 3 (381 enodes) 1540328223.236 * [exit]simplify: Simplified to (+ (fma 1/6 (/ (cbrt (/ -1 (* (log N) (log N)))) (* N N)) (cbrt (log N))) (fma (/ -1/9 (* N N)) (cbrt (/ -1 (pow (- (log N)) 5))) (* (cbrt (/ -1 (* (log N) (log N)))) (/ -1/3 N)))) 1540328223.236 * [misc]simplify: Simplified (2 2) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (+ (fma 1/6 (/ (cbrt (/ -1 (* (log N) (log N)))) (* N N)) (cbrt (log N))) (fma (/ -1/9 (* N N)) (cbrt (/ -1 (pow (- (log N)) 5))) (* (cbrt (/ -1 (* (log N) (log N)))) (/ -1/3 N)))) (- (log N)))) 1540328223.236 * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # 1540328223.236 * [enter]simplify: Simplifying (- (+ (pow (- (log -1) (log (/ -1 N))) 1/3) (* 1/3 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 N)))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/6 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 (pow N 2)))))) 1540328223.238 * * [misc]simplify: iters left: 6 (31 enodes) 1540328223.248 * * [misc]simplify: iters left: 5 (68 enodes) 1540328223.272 * * [misc]simplify: iters left: 4 (159 enodes) 1540328223.367 * * [misc]simplify: iters left: 3 (459 enodes) 1540328223.931 * [exit]simplify: Simplified to (- (* (cbrt (/ 1 (* (log N) (log N)))) (+ (/ 1/3 N) (/ -1/6 (* N N)))) (fma (cbrt (/ 1 (pow (log N) 5))) (/ 1/9 (* N N)) (- (cbrt (log N))))) 1540328223.931 * [misc]simplify: Simplified (2 2) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (- (* (cbrt (/ 1 (* (log N) (log N)))) (+ (/ 1/3 N) (/ -1/6 (* N N)))) (fma (cbrt (/ 1 (pow (log N) 5))) (/ 1/9 (* N N)) (- (cbrt (log N))))) (- (log N)))) 1540328223.931 * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # 1540328223.931 * [enter]simplify: Simplifying (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) 1540328223.932 * * [misc]simplify: iters left: 6 (15 enodes) 1540328223.936 * * [misc]simplify: iters left: 5 (25 enodes) 1540328223.943 * * [misc]simplify: iters left: 4 (44 enodes) 1540328223.951 * * [misc]simplify: iters left: 3 (59 enodes) 1540328223.961 * * [misc]simplify: iters left: 2 (74 enodes) 1540328223.971 * * [misc]simplify: iters left: 1 (81 enodes) 1540328223.991 * [exit]simplify: Simplified to (fma (cbrt (pow N 7)) 1/12 (fma -1/6 (cbrt (pow N 4)) (cbrt N))) 1540328223.992 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (cbrt (log1p N)) (fma (cbrt (pow N 7)) 1/12 (fma -1/6 (cbrt (pow N 4)) (cbrt N)))) (cbrt (log1p N)) (- (log N)))) 1540328223.992 * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # 1540328223.992 * [enter]simplify: Simplifying (- (+ (pow (- (log (/ 1 N))) 1/3) (* 1/6 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 (pow N 2))))) (+ (* 1/9 (* (pow (/ -1 (pow (log (/ 1 N)) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/3 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 N))))) 1540328223.993 * * [misc]simplify: iters left: 6 (29 enodes) 1540328224.003 * * [misc]simplify: iters left: 5 (66 enodes) 1540328224.027 * * [misc]simplify: iters left: 4 (147 enodes) 1540328224.160 * * [misc]simplify: iters left: 3 (381 enodes) 1540328224.686 * [exit]simplify: Simplified to (+ (fma 1/6 (/ (cbrt (/ -1 (* (log N) (log N)))) (* N N)) (cbrt (log N))) (fma (/ -1/9 (* N N)) (cbrt (/ -1 (pow (- (log N)) 5))) (* (cbrt (/ -1 (* (log N) (log N)))) (/ -1/3 N)))) 1540328224.686 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (cbrt (log1p N)) (+ (fma 1/6 (/ (cbrt (/ -1 (* (log N) (log N)))) (* N N)) (cbrt (log N))) (fma (/ -1/9 (* N N)) (cbrt (/ -1 (pow (- (log N)) 5))) (* (cbrt (/ -1 (* (log N) (log N)))) (/ -1/3 N))))) (cbrt (log1p N)) (- (log N)))) 1540328224.686 * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # 1540328224.686 * [enter]simplify: Simplifying (- (+ (pow (- (log -1) (log (/ -1 N))) 1/3) (* 1/3 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 N)))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/6 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 (pow N 2)))))) 1540328224.688 * * [misc]simplify: iters left: 6 (31 enodes) 1540328224.698 * * [misc]simplify: iters left: 5 (68 enodes) 1540328224.724 * * [misc]simplify: iters left: 4 (159 enodes) 1540328224.891 * * [misc]simplify: iters left: 3 (459 enodes) 1540328225.571 * [exit]simplify: Simplified to (- (* (cbrt (/ 1 (* (log N) (log N)))) (+ (/ 1/3 N) (/ -1/6 (* N N)))) (fma (cbrt (/ 1 (pow (log N) 5))) (/ 1/9 (* N N)) (- (cbrt (log N))))) 1540328225.571 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (* (cbrt (log1p N)) (- (* (cbrt (/ 1 (* (log N) (log N)))) (+ (/ 1/3 N) (/ -1/6 (* N N)))) (fma (cbrt (/ 1 (pow (log N) 5))) (/ 1/9 (* N N)) (- (cbrt (log N)))))) (cbrt (log1p N)) (- (log N)))) 1540328225.572 * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # 1540328225.572 * [enter]simplify: Simplifying (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) 1540328225.573 * * [misc]simplify: iters left: 6 (15 enodes) 1540328225.576 * * [misc]simplify: iters left: 5 (25 enodes) 1540328225.582 * * [misc]simplify: iters left: 4 (44 enodes) 1540328225.590 * * [misc]simplify: iters left: 3 (59 enodes) 1540328225.606 * * [misc]simplify: iters left: 2 (74 enodes) 1540328225.622 * * [misc]simplify: iters left: 1 (81 enodes) 1540328225.645 * [exit]simplify: Simplified to (fma (cbrt (pow N 7)) 1/12 (fma -1/6 (cbrt (pow N 4)) (cbrt N))) 1540328225.645 * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (* (fma (cbrt (pow N 7)) 1/12 (fma -1/6 (cbrt (pow N 4)) (cbrt N))) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328225.645 * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # 1540328225.645 * [enter]simplify: Simplifying (- (+ (pow (- (log (/ 1 N))) 1/3) (* 1/6 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 (pow N 2))))) (+ (* 1/9 (* (pow (/ -1 (pow (log (/ 1 N)) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/3 (* (pow (/ -1 (pow (log (/ 1 N)) 2)) 1/3) (/ 1 N))))) 1540328225.646 * * [misc]simplify: iters left: 6 (29 enodes) 1540328225.657 * * [misc]simplify: iters left: 5 (66 enodes) 1540328225.677 * * [misc]simplify: iters left: 4 (147 enodes) 1540328225.779 * * [misc]simplify: iters left: 3 (381 enodes) 1540328226.326 * [exit]simplify: Simplified to (+ (fma 1/6 (/ (cbrt (/ -1 (* (log N) (log N)))) (* N N)) (cbrt (log N))) (fma (/ -1/9 (* N N)) (cbrt (/ -1 (pow (- (log N)) 5))) (* (cbrt (/ -1 (* (log N) (log N)))) (/ -1/3 N)))) 1540328226.326 * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (* (+ (fma 1/6 (/ (cbrt (/ -1 (* (log N) (log N)))) (* N N)) (cbrt (log N))) (fma (/ -1/9 (* N N)) (cbrt (/ -1 (pow (- (log N)) 5))) (* (cbrt (/ -1 (* (log N) (log N)))) (/ -1/3 N)))) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328226.326 * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # 1540328226.326 * [enter]simplify: Simplifying (- (+ (pow (- (log -1) (log (/ -1 N))) 1/3) (* 1/3 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 N)))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 5)) 1/3) (/ 1 (pow N 2)))) (* 1/6 (* (pow (/ 1 (pow (- (log -1) (log (/ -1 N))) 2)) 1/3) (/ 1 (pow N 2)))))) 1540328226.329 * * [misc]simplify: iters left: 6 (31 enodes) 1540328226.339 * * [misc]simplify: iters left: 5 (68 enodes) 1540328226.363 * * [misc]simplify: iters left: 4 (159 enodes) 1540328226.498 * * [misc]simplify: iters left: 3 (459 enodes) 1540328227.196 * [exit]simplify: Simplified to (- (* (cbrt (/ 1 (* (log N) (log N)))) (+ (/ 1/3 N) (/ -1/6 (* N N)))) (fma (cbrt (/ 1 (pow (log N) 5))) (/ 1/9 (* N N)) (- (cbrt (log N))))) 1540328227.196 * [misc]simplify: Simplified (2 1 1) to (λ (N) (fma (* (- (* (cbrt (/ 1 (* (log N) (log N)))) (+ (/ 1/3 N) (/ -1/6 (* N N)))) (fma (cbrt (/ 1 (pow (log N) 5))) (/ 1/9 (* N N)) (- (cbrt (log N))))) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540328227.196 * * * [misc]progress: adding candidates to table 1540328228.540 * [misc]progress: [Phase 3 of 3] Extracting. 1540328228.540 * * [misc]regime: Finding splitpoints for: (# # # #) 1540328228.541 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1540328228.541 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1540328228.587 * * * [misc]regime: Found split indices: #