1545561390.259 * [misc]progress: [Phase 1 of 3] Setting up. 1545561390.260 * * * [misc]progress: [1/2] Preparing points 1545561390.260 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545561390.325 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.325 * * * * [misc]points: Sampling 196 additional inputs, on iter 1 have 60 / 256 1545561390.464 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.464 * * * * [misc]points: Sampling 148 additional inputs, on iter 2 have 108 / 256 1545561390.531 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.531 * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 147 / 256 1545561390.581 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.581 * * * * [misc]points: Sampling 75 additional inputs, on iter 4 have 181 / 256 1545561390.613 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.613 * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 1545561390.672 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.672 * * * * [misc]points: Sampling 44 additional inputs, on iter 6 have 212 / 256 1545561390.700 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.700 * * * * [misc]points: Sampling 32 additional inputs, on iter 7 have 224 / 256 1545561390.709 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.709 * * * * [misc]points: Sampling 24 additional inputs, on iter 8 have 232 / 256 1545561390.717 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.717 * * * * [misc]points: Sampling 16 additional inputs, on iter 9 have 240 / 256 1545561390.723 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.723 * * * * [misc]points: Sampling 13 additional inputs, on iter 10 have 243 / 256 1545561390.728 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.728 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1545561390.733 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.733 * * * * [misc]points: Sampling 12 additional inputs, on iter 12 have 244 / 256 1545561390.741 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.741 * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 1545561390.749 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.749 * * * * [misc]points: Sampling 5 additional inputs, on iter 14 have 251 / 256 1545561390.755 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.755 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1545561390.761 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.761 * * * * [misc]points: Sampling 5 additional inputs, on iter 16 have 251 / 256 1545561390.767 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.767 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 254 / 256 1545561390.772 * * * * [misc]points: Filtering points with unrepresentable outputs 1545561390.772 * * * * [exit]points: Sampled 257 points with exact outputs 1545561390.773 * * * [misc]progress: [2/2] Setting up program. 1545561390.778 * [misc]progress: [Phase 2 of 3] Improving. 1545561390.778 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545561390.778 * * [misc]simplify: iters left: 6 (13 enodes) 1545561390.781 * * [misc]simplify: iters left: 5 (28 enodes) 1545561390.786 * * [misc]simplify: iters left: 4 (44 enodes) 1545561390.792 * * [misc]simplify: iters left: 3 (54 enodes) 1545561390.798 * * [misc]simplify: iters left: 2 (57 enodes) 1545561390.835 * * [misc]simplify: iters left: 1 (65 enodes) 1545561390.849 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545561390.857 * * [misc]progress: iteration 1 / 4 1545561390.857 * * * [misc]progress: picking best candidate 1545561390.864 * * * * [misc]pick: Picked # 1545561390.864 * * * [misc]progress: localizing error 1545561390.895 * * * [misc]progress: generating rewritten candidates 1545561390.895 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545561390.897 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545561390.898 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545561390.904 * * * [misc]progress: generating series expansions 1545561390.904 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545561390.904 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545561390.904 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545561390.904 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.904 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.904 * [misc]taylor: Taking taylor expansion of k in k 1545561390.904 * [misc]backup-simplify: Simplify 0 into 0 1545561390.904 * [misc]backup-simplify: Simplify 1 into 1 1545561390.904 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of 2 in k 1545561390.904 * [misc]backup-simplify: Simplify 2 into 2 1545561390.904 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545561390.904 * [misc]taylor: Taking taylor expansion of n in k 1545561390.904 * [misc]backup-simplify: Simplify n into n 1545561390.904 * [misc]taylor: Taking taylor expansion of PI in k 1545561390.904 * [misc]backup-simplify: Simplify PI into PI 1545561390.904 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545561390.904 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545561390.904 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545561390.904 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561390.905 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.905 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561390.905 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545561390.905 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545561390.905 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.905 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.905 * [misc]taylor: Taking taylor expansion of k in n 1545561390.905 * [misc]backup-simplify: Simplify k into k 1545561390.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of 2 in n 1545561390.905 * [misc]backup-simplify: Simplify 2 into 2 1545561390.905 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561390.905 * [misc]taylor: Taking taylor expansion of n in n 1545561390.905 * [misc]backup-simplify: Simplify 0 into 0 1545561390.905 * [misc]backup-simplify: Simplify 1 into 1 1545561390.905 * [misc]taylor: Taking taylor expansion of PI in n 1545561390.905 * [misc]backup-simplify: Simplify PI into PI 1545561390.906 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561390.906 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561390.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561390.906 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545561390.907 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561390.907 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561390.907 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561390.907 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561390.907 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561390.908 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545561390.908 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545561390.908 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.908 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.908 * [misc]taylor: Taking taylor expansion of k in n 1545561390.908 * [misc]backup-simplify: Simplify k into k 1545561390.908 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of 2 in n 1545561390.908 * [misc]backup-simplify: Simplify 2 into 2 1545561390.908 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561390.908 * [misc]taylor: Taking taylor expansion of n in n 1545561390.908 * [misc]backup-simplify: Simplify 0 into 0 1545561390.908 * [misc]backup-simplify: Simplify 1 into 1 1545561390.908 * [misc]taylor: Taking taylor expansion of PI in n 1545561390.908 * [misc]backup-simplify: Simplify PI into PI 1545561390.909 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561390.909 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561390.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561390.909 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545561390.910 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561390.910 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561390.910 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561390.910 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561390.910 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561390.911 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545561390.911 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545561390.911 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545561390.911 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545561390.911 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561390.911 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.911 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561390.911 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.911 * [misc]taylor: Taking taylor expansion of k in k 1545561390.911 * [misc]backup-simplify: Simplify 0 into 0 1545561390.911 * [misc]backup-simplify: Simplify 1 into 1 1545561390.911 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545561390.911 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561390.911 * [misc]taylor: Taking taylor expansion of n in k 1545561390.912 * [misc]backup-simplify: Simplify n into n 1545561390.912 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561390.912 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545561390.912 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545561390.912 * [misc]taylor: Taking taylor expansion of 2 in k 1545561390.912 * [misc]backup-simplify: Simplify 2 into 2 1545561390.912 * [misc]taylor: Taking taylor expansion of PI in k 1545561390.912 * [misc]backup-simplify: Simplify PI into PI 1545561390.912 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561390.912 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561390.912 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561390.912 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.912 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561390.913 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561390.913 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545561390.913 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545561390.914 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545561390.914 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545561390.915 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545561390.917 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545561390.917 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561390.917 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.918 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561390.918 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545561390.919 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561390.919 * [misc]taylor: Taking taylor expansion of 0 in k 1545561390.919 * [misc]backup-simplify: Simplify 0 into 0 1545561390.919 * [misc]backup-simplify: Simplify 0 into 0 1545561390.919 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561390.925 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545561390.927 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545561390.927 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.927 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561390.928 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561390.928 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561390.928 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545561390.929 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545561390.930 * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545561390.931 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561390.932 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545561390.935 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545561390.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561390.936 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.936 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561390.937 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545561390.938 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561390.938 * [misc]taylor: Taking taylor expansion of 0 in k 1545561390.938 * [misc]backup-simplify: Simplify 0 into 0 1545561390.938 * [misc]backup-simplify: Simplify 0 into 0 1545561390.938 * [misc]backup-simplify: Simplify 0 into 0 1545561390.939 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561390.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561390.944 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545561390.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.944 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561390.944 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.945 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545561390.946 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1545561390.948 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1545561390.951 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1545561390.952 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1545561390.952 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545561390.952 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.952 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.952 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.952 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.952 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of k in k 1545561390.952 * [misc]backup-simplify: Simplify 0 into 0 1545561390.952 * [misc]backup-simplify: Simplify 1 into 1 1545561390.952 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561390.952 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of 2 in k 1545561390.952 * [misc]backup-simplify: Simplify 2 into 2 1545561390.952 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545561390.952 * [misc]taylor: Taking taylor expansion of PI in k 1545561390.952 * [misc]backup-simplify: Simplify PI into PI 1545561390.952 * [misc]taylor: Taking taylor expansion of n in k 1545561390.952 * [misc]backup-simplify: Simplify n into n 1545561390.952 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545561390.952 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545561390.952 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545561390.952 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561390.952 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561390.953 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561390.953 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545561390.953 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1545561390.953 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.953 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.953 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of k in n 1545561390.953 * [misc]backup-simplify: Simplify k into k 1545561390.953 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561390.953 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of 2 in n 1545561390.953 * [misc]backup-simplify: Simplify 2 into 2 1545561390.953 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561390.953 * [misc]taylor: Taking taylor expansion of PI in n 1545561390.953 * [misc]backup-simplify: Simplify PI into PI 1545561390.953 * [misc]taylor: Taking taylor expansion of n in n 1545561390.953 * [misc]backup-simplify: Simplify 0 into 0 1545561390.953 * [misc]backup-simplify: Simplify 1 into 1 1545561390.953 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561390.954 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561390.954 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561390.954 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561390.954 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561390.954 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561390.955 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561390.955 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545561390.956 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561390.956 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.956 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561390.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.956 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of k in n 1545561390.956 * [misc]backup-simplify: Simplify k into k 1545561390.956 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561390.956 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of 2 in n 1545561390.956 * [misc]backup-simplify: Simplify 2 into 2 1545561390.956 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561390.956 * [misc]taylor: Taking taylor expansion of PI in n 1545561390.956 * [misc]backup-simplify: Simplify PI into PI 1545561390.956 * [misc]taylor: Taking taylor expansion of n in n 1545561390.956 * [misc]backup-simplify: Simplify 0 into 0 1545561390.956 * [misc]backup-simplify: Simplify 1 into 1 1545561390.957 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561390.957 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561390.957 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561390.957 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561390.958 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561390.958 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561390.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561390.959 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545561390.960 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561390.960 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545561390.960 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545561390.960 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561390.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561390.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561390.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561390.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561390.960 * [misc]taylor: Taking taylor expansion of k in k 1545561390.960 * [misc]backup-simplify: Simplify 0 into 0 1545561390.960 * [misc]backup-simplify: Simplify 1 into 1 1545561390.961 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561390.961 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545561390.961 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545561390.961 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545561390.961 * [misc]taylor: Taking taylor expansion of 2 in k 1545561390.961 * [misc]backup-simplify: Simplify 2 into 2 1545561390.961 * [misc]taylor: Taking taylor expansion of PI in k 1545561390.961 * [misc]backup-simplify: Simplify PI into PI 1545561390.961 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561390.962 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561390.962 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561390.962 * [misc]taylor: Taking taylor expansion of n in k 1545561390.962 * [misc]backup-simplify: Simplify n into n 1545561390.962 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561390.962 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561390.962 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561390.962 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561390.962 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561390.963 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545561390.964 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545561390.964 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561390.965 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561390.966 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545561390.967 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545561390.969 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545561390.970 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561390.970 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561390.970 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.970 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561390.971 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545561390.973 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561390.973 * [misc]taylor: Taking taylor expansion of 0 in k 1545561390.973 * [misc]backup-simplify: Simplify 0 into 0 1545561390.973 * [misc]backup-simplify: Simplify 0 into 0 1545561390.973 * [misc]backup-simplify: Simplify 0 into 0 1545561390.975 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561390.976 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561390.981 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545561390.981 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561390.981 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561390.981 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561390.982 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561390.983 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545561390.985 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561390.985 * [misc]taylor: Taking taylor expansion of 0 in k 1545561390.985 * [misc]backup-simplify: Simplify 0 into 0 1545561390.985 * [misc]backup-simplify: Simplify 0 into 0 1545561390.985 * [misc]backup-simplify: Simplify 0 into 0 1545561390.986 * [misc]backup-simplify: Simplify 0 into 0 1545561390.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561390.989 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561390.998 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545561390.999 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561390.999 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561390.999 * [misc]backup-simplify: Simplify (- 0) into 0 1545561390.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561391.001 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545561391.005 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561391.005 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.005 * [misc]backup-simplify: Simplify 0 into 0 1545561391.005 * [misc]backup-simplify: Simplify 0 into 0 1545561391.005 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545561391.006 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561391.006 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545561391.006 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of k in k 1545561391.006 * [misc]backup-simplify: Simplify 0 into 0 1545561391.006 * [misc]backup-simplify: Simplify 1 into 1 1545561391.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.006 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of -2 in k 1545561391.006 * [misc]backup-simplify: Simplify -2 into -2 1545561391.006 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545561391.006 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.006 * [misc]backup-simplify: Simplify PI into PI 1545561391.007 * [misc]taylor: Taking taylor expansion of n in k 1545561391.007 * [misc]backup-simplify: Simplify n into n 1545561391.007 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545561391.007 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545561391.007 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545561391.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561391.007 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561391.007 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545561391.007 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1545561391.007 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561391.007 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545561391.007 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of k in n 1545561391.008 * [misc]backup-simplify: Simplify k into k 1545561391.008 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.008 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.008 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of -2 in n 1545561391.008 * [misc]backup-simplify: Simplify -2 into -2 1545561391.008 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.008 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.008 * [misc]backup-simplify: Simplify PI into PI 1545561391.008 * [misc]taylor: Taking taylor expansion of n in n 1545561391.008 * [misc]backup-simplify: Simplify 0 into 0 1545561391.008 * [misc]backup-simplify: Simplify 1 into 1 1545561391.008 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.009 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.009 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545561391.009 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561391.009 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561391.010 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.011 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545561391.011 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.011 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561391.011 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545561391.011 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545561391.011 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561391.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561391.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.012 * [misc]taylor: Taking taylor expansion of k in n 1545561391.012 * [misc]backup-simplify: Simplify k into k 1545561391.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.012 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545561391.012 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545561391.012 * [misc]taylor: Taking taylor expansion of -2 in n 1545561391.012 * [misc]backup-simplify: Simplify -2 into -2 1545561391.012 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.012 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.012 * [misc]backup-simplify: Simplify PI into PI 1545561391.012 * [misc]taylor: Taking taylor expansion of n in n 1545561391.012 * [misc]backup-simplify: Simplify 0 into 0 1545561391.012 * [misc]backup-simplify: Simplify 1 into 1 1545561391.012 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.013 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.013 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545561391.013 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561391.013 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561391.014 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.015 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545561391.015 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.015 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545561391.015 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545561391.015 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561391.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561391.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.016 * [misc]taylor: Taking taylor expansion of k in k 1545561391.016 * [misc]backup-simplify: Simplify 0 into 0 1545561391.016 * [misc]backup-simplify: Simplify 1 into 1 1545561391.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.016 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545561391.016 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545561391.016 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545561391.016 * [misc]taylor: Taking taylor expansion of -2 in k 1545561391.016 * [misc]backup-simplify: Simplify -2 into -2 1545561391.016 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.016 * [misc]backup-simplify: Simplify PI into PI 1545561391.016 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.017 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545561391.017 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561391.017 * [misc]taylor: Taking taylor expansion of n in k 1545561391.017 * [misc]backup-simplify: Simplify n into n 1545561391.017 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561391.017 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561391.017 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561391.017 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561391.018 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545561391.018 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545561391.019 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.020 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.021 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545561391.022 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545561391.024 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545561391.025 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561391.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561391.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.026 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.026 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545561391.028 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561391.028 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.028 * [misc]backup-simplify: Simplify 0 into 0 1545561391.028 * [misc]backup-simplify: Simplify 0 into 0 1545561391.028 * [misc]backup-simplify: Simplify 0 into 0 1545561391.030 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.031 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561391.036 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1545561391.036 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561391.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.038 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545561391.040 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561391.041 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.041 * [misc]backup-simplify: Simplify 0 into 0 1545561391.041 * [misc]backup-simplify: Simplify 0 into 0 1545561391.041 * [misc]backup-simplify: Simplify 0 into 0 1545561391.041 * [misc]backup-simplify: Simplify 0 into 0 1545561391.042 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.044 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.053 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 1545561391.053 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561391.054 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.054 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.055 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545561391.059 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561391.059 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.059 * [misc]backup-simplify: Simplify 0 into 0 1545561391.059 * [misc]backup-simplify: Simplify 0 into 0 1545561391.060 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545561391.060 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545561391.060 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545561391.060 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545561391.060 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545561391.060 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.060 * [misc]backup-simplify: Simplify 2 into 2 1545561391.060 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561391.060 * [misc]taylor: Taking taylor expansion of n in n 1545561391.060 * [misc]backup-simplify: Simplify 0 into 0 1545561391.060 * [misc]backup-simplify: Simplify 1 into 1 1545561391.060 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.060 * [misc]backup-simplify: Simplify PI into PI 1545561391.060 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545561391.060 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.061 * [misc]backup-simplify: Simplify 2 into 2 1545561391.061 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561391.061 * [misc]taylor: Taking taylor expansion of n in n 1545561391.061 * [misc]backup-simplify: Simplify 0 into 0 1545561391.061 * [misc]backup-simplify: Simplify 1 into 1 1545561391.061 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.061 * [misc]backup-simplify: Simplify PI into PI 1545561391.061 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561391.061 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561391.061 * [misc]backup-simplify: Simplify 0 into 0 1545561391.062 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561391.063 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545561391.063 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.064 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545561391.065 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545561391.066 * [misc]backup-simplify: Simplify 0 into 0 1545561391.067 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.070 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545561391.070 * [misc]backup-simplify: Simplify 0 into 0 1545561391.072 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545561391.074 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545561391.074 * [misc]backup-simplify: Simplify 0 into 0 1545561391.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545561391.082 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545561391.082 * [misc]backup-simplify: Simplify 0 into 0 1545561391.085 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545561391.089 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545561391.089 * [misc]backup-simplify: Simplify 0 into 0 1545561391.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545561391.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545561391.098 * [misc]backup-simplify: Simplify 0 into 0 1545561391.098 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545561391.098 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545561391.098 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545561391.098 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545561391.098 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.098 * [misc]backup-simplify: Simplify 2 into 2 1545561391.098 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.098 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.098 * [misc]backup-simplify: Simplify PI into PI 1545561391.098 * [misc]taylor: Taking taylor expansion of n in n 1545561391.098 * [misc]backup-simplify: Simplify 0 into 0 1545561391.098 * [misc]backup-simplify: Simplify 1 into 1 1545561391.099 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.099 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545561391.099 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.099 * [misc]backup-simplify: Simplify 2 into 2 1545561391.099 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.099 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.099 * [misc]backup-simplify: Simplify PI into PI 1545561391.099 * [misc]taylor: Taking taylor expansion of n in n 1545561391.099 * [misc]backup-simplify: Simplify 0 into 0 1545561391.099 * [misc]backup-simplify: Simplify 1 into 1 1545561391.099 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.099 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.100 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.101 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545561391.102 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545561391.102 * [misc]backup-simplify: Simplify 0 into 0 1545561391.103 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.104 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561391.105 * [misc]backup-simplify: Simplify 0 into 0 1545561391.106 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.108 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.108 * [misc]backup-simplify: Simplify 0 into 0 1545561391.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.112 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545561391.112 * [misc]backup-simplify: Simplify 0 into 0 1545561391.114 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.116 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545561391.116 * [misc]backup-simplify: Simplify 0 into 0 1545561391.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.120 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545561391.120 * [misc]backup-simplify: Simplify 0 into 0 1545561391.120 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545561391.120 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545561391.120 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545561391.120 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545561391.120 * [misc]taylor: Taking taylor expansion of -2 in n 1545561391.120 * [misc]backup-simplify: Simplify -2 into -2 1545561391.120 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.120 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.120 * [misc]backup-simplify: Simplify PI into PI 1545561391.120 * [misc]taylor: Taking taylor expansion of n in n 1545561391.120 * [misc]backup-simplify: Simplify 0 into 0 1545561391.120 * [misc]backup-simplify: Simplify 1 into 1 1545561391.121 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.121 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545561391.121 * [misc]taylor: Taking taylor expansion of -2 in n 1545561391.121 * [misc]backup-simplify: Simplify -2 into -2 1545561391.121 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.121 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.121 * [misc]backup-simplify: Simplify PI into PI 1545561391.121 * [misc]taylor: Taking taylor expansion of n in n 1545561391.121 * [misc]backup-simplify: Simplify 0 into 0 1545561391.121 * [misc]backup-simplify: Simplify 1 into 1 1545561391.121 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.121 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.121 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.122 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545561391.122 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545561391.123 * [misc]backup-simplify: Simplify 0 into 0 1545561391.123 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.124 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561391.124 * [misc]backup-simplify: Simplify 0 into 0 1545561391.125 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.126 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.126 * [misc]backup-simplify: Simplify 0 into 0 1545561391.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.129 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545561391.129 * [misc]backup-simplify: Simplify 0 into 0 1545561391.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.132 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545561391.132 * [misc]backup-simplify: Simplify 0 into 0 1545561391.133 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.135 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545561391.135 * [misc]backup-simplify: Simplify 0 into 0 1545561391.135 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545561391.136 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545561391.136 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545561391.136 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545561391.136 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545561391.136 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561391.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.136 * [misc]taylor: Taking taylor expansion of k in k 1545561391.136 * [misc]backup-simplify: Simplify 0 into 0 1545561391.136 * [misc]backup-simplify: Simplify 1 into 1 1545561391.136 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.136 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561391.137 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561391.137 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.137 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.137 * [misc]taylor: Taking taylor expansion of k in k 1545561391.137 * [misc]backup-simplify: Simplify 0 into 0 1545561391.137 * [misc]backup-simplify: Simplify 1 into 1 1545561391.137 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of 2 in k 1545561391.137 * [misc]backup-simplify: Simplify 2 into 2 1545561391.137 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545561391.137 * [misc]taylor: Taking taylor expansion of n in k 1545561391.137 * [misc]backup-simplify: Simplify n into n 1545561391.137 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.137 * [misc]backup-simplify: Simplify PI into PI 1545561391.137 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545561391.137 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545561391.137 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545561391.137 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561391.137 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.137 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561391.138 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545561391.138 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545561391.138 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of k in n 1545561391.138 * [misc]backup-simplify: Simplify k into k 1545561391.138 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.138 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561391.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561391.138 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561391.138 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.138 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.138 * [misc]taylor: Taking taylor expansion of k in n 1545561391.138 * [misc]backup-simplify: Simplify k into k 1545561391.138 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.138 * [misc]backup-simplify: Simplify 2 into 2 1545561391.138 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561391.138 * [misc]taylor: Taking taylor expansion of n in n 1545561391.138 * [misc]backup-simplify: Simplify 0 into 0 1545561391.138 * [misc]backup-simplify: Simplify 1 into 1 1545561391.138 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.138 * [misc]backup-simplify: Simplify PI into PI 1545561391.138 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561391.139 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561391.139 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561391.139 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545561391.140 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561391.140 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561391.140 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561391.140 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561391.140 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561391.141 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545561391.141 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545561391.141 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545561391.141 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561391.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.141 * [misc]taylor: Taking taylor expansion of k in n 1545561391.141 * [misc]backup-simplify: Simplify k into k 1545561391.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.141 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561391.141 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561391.141 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561391.141 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545561391.141 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545561391.141 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545561391.142 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561391.142 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.142 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561391.142 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.142 * [misc]taylor: Taking taylor expansion of k in n 1545561391.142 * [misc]backup-simplify: Simplify k into k 1545561391.142 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545561391.142 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545561391.142 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.142 * [misc]backup-simplify: Simplify 2 into 2 1545561391.142 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561391.142 * [misc]taylor: Taking taylor expansion of n in n 1545561391.142 * [misc]backup-simplify: Simplify 0 into 0 1545561391.142 * [misc]backup-simplify: Simplify 1 into 1 1545561391.142 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.142 * [misc]backup-simplify: Simplify PI into PI 1545561391.142 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561391.142 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561391.142 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561391.143 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545561391.143 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561391.143 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561391.143 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561391.143 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561391.144 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561391.144 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545561391.145 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545561391.145 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) 1545561391.145 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.145 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.145 * [misc]taylor: Taking taylor expansion of k in k 1545561391.145 * [misc]backup-simplify: Simplify 0 into 0 1545561391.145 * [misc]backup-simplify: Simplify 1 into 1 1545561391.145 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of n in k 1545561391.145 * [misc]backup-simplify: Simplify n into n 1545561391.145 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561391.145 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545561391.145 * [misc]taylor: Taking taylor expansion of 2 in k 1545561391.145 * [misc]backup-simplify: Simplify 2 into 2 1545561391.145 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.145 * [misc]backup-simplify: Simplify PI into PI 1545561391.146 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.146 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561391.146 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561391.146 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.146 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561391.147 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561391.147 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545561391.147 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545561391.148 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561391.148 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.148 * [misc]taylor: Taking taylor expansion of k in k 1545561391.148 * [misc]backup-simplify: Simplify 0 into 0 1545561391.148 * [misc]backup-simplify: Simplify 1 into 1 1545561391.148 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.148 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561391.148 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561391.149 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545561391.149 * [misc]backup-simplify: Simplify 0 into 0 1545561391.150 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545561391.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545561391.154 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545561391.155 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561391.155 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.155 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.156 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561391.157 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545561391.158 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561391.159 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545561391.159 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.159 * [misc]backup-simplify: Simplify 0 into 0 1545561391.160 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561391.160 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545561391.162 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545561391.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.162 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561391.162 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561391.162 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561391.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545561391.164 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545561391.165 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545561391.166 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545561391.167 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545561391.171 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545561391.171 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561391.171 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.172 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.172 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561391.172 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545561391.174 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561391.174 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.175 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545561391.175 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545561391.175 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.175 * [misc]backup-simplify: Simplify 0 into 0 1545561391.175 * [misc]backup-simplify: Simplify 0 into 0 1545561391.176 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561391.176 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561391.177 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561391.178 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561391.181 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545561391.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561391.181 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.182 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545561391.183 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1545561391.186 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1545561391.188 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1545561391.190 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545561391.192 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545561391.201 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545561391.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545561391.201 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.202 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545561391.203 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545561391.207 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561391.207 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.208 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545561391.210 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0 1545561391.210 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.210 * [misc]backup-simplify: Simplify 0 into 0 1545561391.210 * [misc]backup-simplify: Simplify 0 into 0 1545561391.210 * [misc]backup-simplify: Simplify 0 into 0 1545561391.211 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.212 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561391.215 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545561391.216 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.224 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545561391.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561391.225 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545561391.230 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545561391.239 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1545561391.246 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1545561391.257 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1545561391.257 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545561391.258 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545561391.258 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561391.258 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561391.258 * [misc]taylor: Taking taylor expansion of k in k 1545561391.258 * [misc]backup-simplify: Simplify 0 into 0 1545561391.258 * [misc]backup-simplify: Simplify 1 into 1 1545561391.258 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561391.259 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561391.259 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561391.259 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545561391.259 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545561391.259 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561391.259 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.259 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561391.259 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.259 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.259 * [misc]taylor: Taking taylor expansion of k in k 1545561391.259 * [misc]backup-simplify: Simplify 0 into 0 1545561391.259 * [misc]backup-simplify: Simplify 1 into 1 1545561391.259 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.259 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545561391.260 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545561391.260 * [misc]taylor: Taking taylor expansion of 2 in k 1545561391.260 * [misc]backup-simplify: Simplify 2 into 2 1545561391.260 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545561391.260 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.260 * [misc]backup-simplify: Simplify PI into PI 1545561391.260 * [misc]taylor: Taking taylor expansion of n in k 1545561391.260 * [misc]backup-simplify: Simplify n into n 1545561391.260 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545561391.260 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545561391.260 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545561391.260 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561391.260 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561391.260 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561391.261 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545561391.261 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1545561391.261 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of k in n 1545561391.261 * [misc]backup-simplify: Simplify k into k 1545561391.261 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561391.261 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561391.261 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.261 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.261 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.261 * [misc]taylor: Taking taylor expansion of k in n 1545561391.261 * [misc]backup-simplify: Simplify k into k 1545561391.262 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.262 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545561391.262 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545561391.262 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.262 * [misc]backup-simplify: Simplify 2 into 2 1545561391.262 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.262 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.262 * [misc]backup-simplify: Simplify PI into PI 1545561391.262 * [misc]taylor: Taking taylor expansion of n in n 1545561391.262 * [misc]backup-simplify: Simplify 0 into 0 1545561391.262 * [misc]backup-simplify: Simplify 1 into 1 1545561391.262 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.262 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.263 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561391.263 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561391.263 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561391.263 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561391.264 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561391.265 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545561391.265 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561391.265 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561391.265 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561391.265 * [misc]taylor: Taking taylor expansion of k in n 1545561391.265 * [misc]backup-simplify: Simplify k into k 1545561391.265 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561391.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561391.266 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.266 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.266 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of k in n 1545561391.266 * [misc]backup-simplify: Simplify k into k 1545561391.266 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.266 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of 2 in n 1545561391.266 * [misc]backup-simplify: Simplify 2 into 2 1545561391.266 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.266 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.266 * [misc]backup-simplify: Simplify PI into PI 1545561391.266 * [misc]taylor: Taking taylor expansion of n in n 1545561391.266 * [misc]backup-simplify: Simplify 0 into 0 1545561391.266 * [misc]backup-simplify: Simplify 1 into 1 1545561391.267 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.267 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.267 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561391.267 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561391.267 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561391.268 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561391.268 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561391.269 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545561391.270 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561391.270 * [misc]backup-simplify: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) 1545561391.270 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545561391.270 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545561391.270 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545561391.270 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561391.271 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.271 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561391.271 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.271 * [misc]taylor: Taking taylor expansion of k in k 1545561391.271 * [misc]backup-simplify: Simplify 0 into 0 1545561391.271 * [misc]backup-simplify: Simplify 1 into 1 1545561391.271 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.271 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545561391.271 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545561391.271 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545561391.271 * [misc]taylor: Taking taylor expansion of 2 in k 1545561391.271 * [misc]backup-simplify: Simplify 2 into 2 1545561391.271 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.271 * [misc]backup-simplify: Simplify PI into PI 1545561391.271 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545561391.272 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545561391.272 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561391.272 * [misc]taylor: Taking taylor expansion of n in k 1545561391.272 * [misc]backup-simplify: Simplify n into n 1545561391.272 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561391.272 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561391.272 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561391.273 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561391.273 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561391.273 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545561391.274 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545561391.274 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545561391.274 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561391.274 * [misc]taylor: Taking taylor expansion of k in k 1545561391.274 * [misc]backup-simplify: Simplify 0 into 0 1545561391.275 * [misc]backup-simplify: Simplify 1 into 1 1545561391.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561391.275 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561391.276 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545561391.276 * [misc]backup-simplify: Simplify 0 into 0 1545561391.277 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545561391.278 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545561391.281 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545561391.281 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561391.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561391.281 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.281 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.282 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561391.283 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545561391.284 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561391.285 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545561391.285 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.285 * [misc]backup-simplify: Simplify 0 into 0 1545561391.285 * [misc]backup-simplify: Simplify 0 into 0 1545561391.286 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545561391.287 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545561391.289 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.290 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561391.295 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545561391.295 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561391.296 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.296 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561391.297 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545561391.300 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561391.300 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545561391.301 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545561391.301 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.301 * [misc]backup-simplify: Simplify 0 into 0 1545561391.302 * [misc]backup-simplify: Simplify 0 into 0 1545561391.302 * [misc]backup-simplify: Simplify 0 into 0 1545561391.303 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561391.304 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545561391.304 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545561391.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545561391.317 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545561391.317 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561391.318 * [misc]backup-simplify: Simplify (- 0) into 0 1545561391.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.319 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545561391.320 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545561391.324 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561391.325 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545561391.326 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545561391.326 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.326 * [misc]backup-simplify: Simplify 0 into 0 1545561391.326 * [misc]backup-simplify: Simplify 0 into 0 1545561391.326 * [misc]backup-simplify: Simplify 0 into 0 1545561391.326 * [misc]backup-simplify: Simplify 0 into 0 1545561391.327 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561391.328 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545561391.329 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545561391.332 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545561391.332 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545561391.332 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545561391.332 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545561391.332 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561391.332 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545561391.332 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545561391.332 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561391.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561391.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.333 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.333 * [misc]taylor: Taking taylor expansion of k in k 1545561391.333 * [misc]backup-simplify: Simplify 0 into 0 1545561391.333 * [misc]backup-simplify: Simplify 1 into 1 1545561391.333 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.333 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545561391.333 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545561391.333 * [misc]taylor: Taking taylor expansion of -2 in k 1545561391.333 * [misc]backup-simplify: Simplify -2 into -2 1545561391.333 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545561391.333 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.333 * [misc]backup-simplify: Simplify PI into PI 1545561391.333 * [misc]taylor: Taking taylor expansion of n in k 1545561391.333 * [misc]backup-simplify: Simplify n into n 1545561391.333 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545561391.333 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545561391.333 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545561391.334 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561391.334 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561391.334 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545561391.334 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1545561391.334 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561391.334 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561391.334 * [misc]taylor: Taking taylor expansion of -1 in k 1545561391.334 * [misc]backup-simplify: Simplify -1 into -1 1545561391.334 * [misc]taylor: Taking taylor expansion of k in k 1545561391.334 * [misc]backup-simplify: Simplify 0 into 0 1545561391.334 * [misc]backup-simplify: Simplify 1 into 1 1545561391.335 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561391.335 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561391.335 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561391.336 * [misc]backup-simplify: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561391.336 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of k in n 1545561391.336 * [misc]backup-simplify: Simplify k into k 1545561391.336 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.336 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of -2 in n 1545561391.336 * [misc]backup-simplify: Simplify -2 into -2 1545561391.336 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.336 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.336 * [misc]backup-simplify: Simplify PI into PI 1545561391.336 * [misc]taylor: Taking taylor expansion of n in n 1545561391.336 * [misc]backup-simplify: Simplify 0 into 0 1545561391.336 * [misc]backup-simplify: Simplify 1 into 1 1545561391.337 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.337 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.338 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545561391.338 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561391.338 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561391.338 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.339 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545561391.340 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.340 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561391.340 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561391.340 * [misc]taylor: Taking taylor expansion of -1 in n 1545561391.340 * [misc]backup-simplify: Simplify -1 into -1 1545561391.340 * [misc]taylor: Taking taylor expansion of k in n 1545561391.340 * [misc]backup-simplify: Simplify k into k 1545561391.340 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561391.340 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561391.340 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561391.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561391.341 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) 1545561391.341 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of k in n 1545561391.341 * [misc]backup-simplify: Simplify k into k 1545561391.341 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561391.341 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561391.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.341 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545561391.341 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545561391.342 * [misc]taylor: Taking taylor expansion of -2 in n 1545561391.342 * [misc]backup-simplify: Simplify -2 into -2 1545561391.342 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545561391.342 * [misc]taylor: Taking taylor expansion of PI in n 1545561391.342 * [misc]backup-simplify: Simplify PI into PI 1545561391.342 * [misc]taylor: Taking taylor expansion of n in n 1545561391.342 * [misc]backup-simplify: Simplify 0 into 0 1545561391.342 * [misc]backup-simplify: Simplify 1 into 1 1545561391.342 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545561391.342 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.343 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545561391.343 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561391.343 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561391.344 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.344 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545561391.345 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.345 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561391.345 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561391.345 * [misc]taylor: Taking taylor expansion of -1 in n 1545561391.345 * [misc]backup-simplify: Simplify -1 into -1 1545561391.345 * [misc]taylor: Taking taylor expansion of k in n 1545561391.345 * [misc]backup-simplify: Simplify k into k 1545561391.345 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561391.345 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561391.345 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561391.345 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561391.346 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) 1545561391.346 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545561391.346 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545561391.346 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545561391.346 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561391.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561391.346 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.347 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561391.347 * [misc]taylor: Taking taylor expansion of k in k 1545561391.347 * [misc]backup-simplify: Simplify 0 into 0 1545561391.347 * [misc]backup-simplify: Simplify 1 into 1 1545561391.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561391.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561391.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561391.347 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545561391.347 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545561391.347 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545561391.347 * [misc]taylor: Taking taylor expansion of -2 in k 1545561391.347 * [misc]backup-simplify: Simplify -2 into -2 1545561391.347 * [misc]taylor: Taking taylor expansion of PI in k 1545561391.347 * [misc]backup-simplify: Simplify PI into PI 1545561391.347 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545561391.348 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545561391.348 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561391.348 * [misc]taylor: Taking taylor expansion of n in k 1545561391.348 * [misc]backup-simplify: Simplify n into n 1545561391.348 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561391.348 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561391.348 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561391.348 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561391.349 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545561391.349 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545561391.350 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545561391.350 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561391.350 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561391.350 * [misc]taylor: Taking taylor expansion of -1 in k 1545561391.350 * [misc]backup-simplify: Simplify -1 into -1 1545561391.350 * [misc]taylor: Taking taylor expansion of k in k 1545561391.350 * [misc]backup-simplify: Simplify 0 into 0 1545561391.350 * [misc]backup-simplify: Simplify 1 into 1 1545561391.350 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561391.351 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561391.351 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561391.352 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545561391.352 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545561391.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545561391.354 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545561391.357 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545561391.357 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561391.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561391.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.358 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.359 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545561391.361 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561391.362 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545561391.362 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.362 * [misc]backup-simplify: Simplify 0 into 0 1545561391.362 * [misc]backup-simplify: Simplify 0 into 0 1545561391.362 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545561391.363 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561391.364 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545561391.365 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545561391.366 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.367 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545561391.373 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1545561391.373 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561391.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561391.375 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545561391.375 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545561391.378 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561391.378 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561391.380 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545561391.380 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545561391.381 * [misc]taylor: Taking taylor expansion of 0 in k 1545561391.381 * [misc]backup-simplify: Simplify 0 into 0 1545561391.381 * [misc]backup-simplify: Simplify 0 into 0 1545561391.381 * [misc]backup-simplify: Simplify 0 into 0 1545561391.381 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561391.382 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561391.384 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545561391.385 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545561391.387 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545561391.387 * * * [misc]progress: simplifying candidates 1545561391.387 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545561391.387 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545561391.387 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545561391.387 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545561391.388 * * [misc]simplify: iters left: 6 (11 enodes) 1545561391.391 * * [misc]simplify: iters left: 5 (21 enodes) 1545561391.398 * * [misc]simplify: iters left: 4 (47 enodes) 1545561391.414 * * [misc]simplify: iters left: 3 (113 enodes) 1545561391.474 * * [misc]simplify: iters left: 2 (328 enodes) 1545561391.784 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545561391.784 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545561391.785 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545561391.785 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545561391.786 * [enter]simplify: Simplifying (* PI (* n 2)) 1545561391.786 * * [misc]simplify: iters left: 4 (5 enodes) 1545561391.787 * * [misc]simplify: iters left: 3 (9 enodes) 1545561391.788 * * [misc]simplify: iters left: 2 (15 enodes) 1545561391.790 * * [misc]simplify: iters left: 1 (17 enodes) 1545561391.792 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545561391.792 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545561391.792 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545561391.792 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545561391.792 * * [misc]simplify: iters left: 5 (8 enodes) 1545561391.794 * * [misc]simplify: iters left: 4 (12 enodes) 1545561391.796 * * [misc]simplify: iters left: 3 (18 enodes) 1545561391.798 * * [misc]simplify: iters left: 2 (20 enodes) 1545561391.801 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545561391.801 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545561391.801 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545561391.801 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561391.801 * * [misc]simplify: iters left: 5 (6 enodes) 1545561391.802 * * [misc]simplify: iters left: 4 (8 enodes) 1545561391.803 * * [misc]simplify: iters left: 3 (11 enodes) 1545561391.807 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561391.807 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1545561391.807 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545561391.807 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561391.807 * * [misc]simplify: iters left: 5 (6 enodes) 1545561391.808 * * [misc]simplify: iters left: 4 (8 enodes) 1545561391.809 * * [misc]simplify: iters left: 3 (11 enodes) 1545561391.811 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561391.811 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1545561391.811 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545561391.811 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561391.811 * * [misc]simplify: iters left: 4 (5 enodes) 1545561391.813 * * [misc]simplify: iters left: 3 (7 enodes) 1545561391.815 * * [misc]simplify: iters left: 2 (10 enodes) 1545561391.818 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561391.818 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545561391.818 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545561391.818 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545561391.818 * * [misc]simplify: iters left: 5 (9 enodes) 1545561391.821 * * [misc]simplify: iters left: 4 (15 enodes) 1545561391.826 * * [misc]simplify: iters left: 3 (21 enodes) 1545561391.832 * * [misc]simplify: iters left: 2 (22 enodes) 1545561391.837 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545561391.837 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545561391.837 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545561391.838 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545561391.838 * * [misc]simplify: iters left: 5 (9 enodes) 1545561391.841 * * [misc]simplify: iters left: 4 (15 enodes) 1545561391.845 * * [misc]simplify: iters left: 3 (21 enodes) 1545561391.851 * * [misc]simplify: iters left: 2 (22 enodes) 1545561391.857 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545561391.857 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545561391.857 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545561391.858 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545561391.858 * * [misc]simplify: iters left: 5 (7 enodes) 1545561391.860 * * [misc]simplify: iters left: 4 (9 enodes) 1545561391.864 * * [misc]simplify: iters left: 3 (12 enodes) 1545561391.867 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545561391.867 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561391.867 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545561391.867 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545561391.868 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545561391.869 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545561391.869 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545561391.869 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545561391.869 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545561391.869 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561391.869 * * [misc]simplify: iters left: 6 (14 enodes) 1545561391.874 * * [misc]simplify: iters left: 5 (27 enodes) 1545561391.884 * * [misc]simplify: iters left: 4 (55 enodes) 1545561391.906 * * [misc]simplify: iters left: 3 (144 enodes) 1545561392.000 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545561392.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545561392.000 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545561392.001 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561392.001 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.003 * * [misc]simplify: iters left: 5 (27 enodes) 1545561392.008 * * [misc]simplify: iters left: 4 (55 enodes) 1545561392.019 * * [misc]simplify: iters left: 3 (144 enodes) 1545561392.124 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545561392.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545561392.124 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545561392.124 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545561392.125 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.129 * * [misc]simplify: iters left: 5 (24 enodes) 1545561392.137 * * [misc]simplify: iters left: 4 (43 enodes) 1545561392.150 * * [misc]simplify: iters left: 3 (73 enodes) 1545561392.171 * * [misc]simplify: iters left: 2 (220 enodes) 1545561392.383 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545561392.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545561392.383 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545561392.383 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545561392.383 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545561392.383 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545561392.383 * * [misc]simplify: iters left: 6 (16 enodes) 1545561392.386 * * [misc]simplify: iters left: 5 (31 enodes) 1545561392.391 * * [misc]simplify: iters left: 4 (67 enodes) 1545561392.403 * * [misc]simplify: iters left: 3 (124 enodes) 1545561392.429 * * [misc]simplify: iters left: 2 (195 enodes) 1545561392.476 * * [misc]simplify: iters left: 1 (309 enodes) 1545561392.582 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1545561392.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))))) 1545561392.582 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545561392.583 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545561392.583 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545561392.583 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545561392.583 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545561392.583 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.583 * * [misc]simplify: iters left: 6 (12 enodes) 1545561392.585 * * [misc]simplify: iters left: 5 (19 enodes) 1545561392.588 * * [misc]simplify: iters left: 4 (25 enodes) 1545561392.591 * * [misc]simplify: iters left: 3 (26 enodes) 1545561392.595 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1545561392.595 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545561392.595 * * [misc]simplify: iters left: 6 (12 enodes) 1545561392.597 * * [misc]simplify: iters left: 5 (18 enodes) 1545561392.599 * * [misc]simplify: iters left: 4 (24 enodes) 1545561392.603 * * [misc]simplify: iters left: 3 (25 enodes) 1545561392.606 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545561392.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1545561392.606 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545561392.606 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545561392.606 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.608 * * [misc]simplify: iters left: 5 (16 enodes) 1545561392.613 * * [misc]simplify: iters left: 4 (22 enodes) 1545561392.619 * * [misc]simplify: iters left: 3 (24 enodes) 1545561392.622 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545561392.622 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1545561392.622 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545561392.622 * * [misc]simplify: iters left: 6 (12 enodes) 1545561392.624 * * [misc]simplify: iters left: 5 (18 enodes) 1545561392.627 * * [misc]simplify: iters left: 4 (24 enodes) 1545561392.630 * * [misc]simplify: iters left: 3 (25 enodes) 1545561392.633 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545561392.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1545561392.633 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545561392.634 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545561392.634 * * [misc]simplify: iters left: 6 (9 enodes) 1545561392.635 * * [misc]simplify: iters left: 5 (16 enodes) 1545561392.638 * * [misc]simplify: iters left: 4 (24 enodes) 1545561392.641 * * [misc]simplify: iters left: 3 (26 enodes) 1545561392.644 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545561392.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545561392.644 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545561392.644 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.646 * * [misc]simplify: iters left: 5 (17 enodes) 1545561392.648 * * [misc]simplify: iters left: 4 (23 enodes) 1545561392.653 * * [misc]simplify: iters left: 3 (24 enodes) 1545561392.656 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545561392.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545561392.656 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545561392.656 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.656 * * [misc]simplify: iters left: 6 (12 enodes) 1545561392.658 * * [misc]simplify: iters left: 5 (19 enodes) 1545561392.662 * * [misc]simplify: iters left: 4 (25 enodes) 1545561392.669 * * [misc]simplify: iters left: 3 (26 enodes) 1545561392.676 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.676 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1545561392.677 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545561392.677 * * [misc]simplify: iters left: 6 (12 enodes) 1545561392.680 * * [misc]simplify: iters left: 5 (18 enodes) 1545561392.686 * * [misc]simplify: iters left: 4 (24 enodes) 1545561392.693 * * [misc]simplify: iters left: 3 (25 enodes) 1545561392.700 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545561392.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1545561392.700 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545561392.700 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545561392.700 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.704 * * [misc]simplify: iters left: 5 (16 enodes) 1545561392.708 * * [misc]simplify: iters left: 4 (22 enodes) 1545561392.715 * * [misc]simplify: iters left: 3 (24 enodes) 1545561392.720 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545561392.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1545561392.721 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545561392.721 * * [misc]simplify: iters left: 6 (12 enodes) 1545561392.724 * * [misc]simplify: iters left: 5 (18 enodes) 1545561392.729 * * [misc]simplify: iters left: 4 (24 enodes) 1545561392.735 * * [misc]simplify: iters left: 3 (25 enodes) 1545561392.741 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545561392.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1545561392.742 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545561392.742 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545561392.742 * * [misc]simplify: iters left: 6 (9 enodes) 1545561392.745 * * [misc]simplify: iters left: 5 (16 enodes) 1545561392.749 * * [misc]simplify: iters left: 4 (24 enodes) 1545561392.754 * * [misc]simplify: iters left: 3 (26 enodes) 1545561392.760 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545561392.760 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545561392.760 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545561392.760 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.763 * * [misc]simplify: iters left: 5 (17 enodes) 1545561392.768 * * [misc]simplify: iters left: 4 (23 enodes) 1545561392.772 * * [misc]simplify: iters left: 3 (24 enodes) 1545561392.776 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545561392.776 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545561392.776 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545561392.776 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.776 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.778 * * [misc]simplify: iters left: 5 (15 enodes) 1545561392.781 * * [misc]simplify: iters left: 4 (18 enodes) 1545561392.784 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.784 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561392.784 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561392.784 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.786 * * [misc]simplify: iters left: 5 (14 enodes) 1545561392.788 * * [misc]simplify: iters left: 4 (17 enodes) 1545561392.791 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561392.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561392.791 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545561392.791 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561392.791 * * [misc]simplify: iters left: 6 (10 enodes) 1545561392.793 * * [misc]simplify: iters left: 5 (12 enodes) 1545561392.794 * * [misc]simplify: iters left: 4 (15 enodes) 1545561392.796 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561392.797 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561392.797 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561392.797 * * [misc]simplify: iters left: 6 (11 enodes) 1545561392.798 * * [misc]simplify: iters left: 5 (14 enodes) 1545561392.800 * * [misc]simplify: iters left: 4 (17 enodes) 1545561392.803 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561392.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561392.803 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545561392.803 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545561392.803 * * [misc]simplify: iters left: 6 (9 enodes) 1545561392.805 * * [misc]simplify: iters left: 5 (13 enodes) 1545561392.807 * * [misc]simplify: iters left: 4 (18 enodes) 1545561392.809 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545561392.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561392.809 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561392.810 * * [misc]simplify: iters left: 6 (10 enodes) 1545561392.811 * * [misc]simplify: iters left: 5 (13 enodes) 1545561392.813 * * [misc]simplify: iters left: 4 (16 enodes) 1545561392.815 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561392.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561392.815 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545561392.816 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.816 * * [misc]simplify: iters left: 6 (16 enodes) 1545561392.818 * * [misc]simplify: iters left: 5 (28 enodes) 1545561392.823 * * [misc]simplify: iters left: 4 (46 enodes) 1545561392.830 * * [misc]simplify: iters left: 3 (50 enodes) 1545561392.836 * * [misc]simplify: iters left: 2 (53 enodes) 1545561392.844 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545561392.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561392.844 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561392.845 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.849 * * [misc]simplify: iters left: 5 (20 enodes) 1545561392.855 * * [misc]simplify: iters left: 4 (29 enodes) 1545561392.861 * * [misc]simplify: iters left: 3 (30 enodes) 1545561392.866 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561392.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561392.866 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545561392.866 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545561392.866 * * [misc]simplify: iters left: 6 (15 enodes) 1545561392.869 * * [misc]simplify: iters left: 5 (23 enodes) 1545561392.873 * * [misc]simplify: iters left: 4 (34 enodes) 1545561392.878 * * [misc]simplify: iters left: 3 (37 enodes) 1545561392.883 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545561392.883 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561392.883 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561392.883 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.885 * * [misc]simplify: iters left: 5 (20 enodes) 1545561392.889 * * [misc]simplify: iters left: 4 (29 enodes) 1545561392.893 * * [misc]simplify: iters left: 3 (30 enodes) 1545561392.897 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561392.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561392.897 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545561392.897 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545561392.897 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.899 * * [misc]simplify: iters left: 5 (24 enodes) 1545561392.904 * * [misc]simplify: iters left: 4 (39 enodes) 1545561392.909 * * [misc]simplify: iters left: 3 (54 enodes) 1545561392.916 * * [misc]simplify: iters left: 2 (80 enodes) 1545561392.927 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545561392.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561392.927 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545561392.928 * * [misc]simplify: iters left: 6 (13 enodes) 1545561392.930 * * [misc]simplify: iters left: 5 (19 enodes) 1545561392.932 * * [misc]simplify: iters left: 4 (28 enodes) 1545561392.936 * * [misc]simplify: iters left: 3 (30 enodes) 1545561392.940 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545561392.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561392.940 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545561392.941 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.941 * * [misc]simplify: iters left: 6 (15 enodes) 1545561392.943 * * [misc]simplify: iters left: 5 (23 enodes) 1545561392.948 * * [misc]simplify: iters left: 4 (32 enodes) 1545561392.953 * * [misc]simplify: iters left: 3 (34 enodes) 1545561392.957 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561392.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561392.958 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561392.958 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.960 * * [misc]simplify: iters left: 5 (20 enodes) 1545561392.963 * * [misc]simplify: iters left: 4 (29 enodes) 1545561392.967 * * [misc]simplify: iters left: 3 (30 enodes) 1545561392.974 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561392.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561392.974 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545561392.974 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561392.974 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.978 * * [misc]simplify: iters left: 5 (20 enodes) 1545561392.983 * * [misc]simplify: iters left: 4 (29 enodes) 1545561392.987 * * [misc]simplify: iters left: 3 (30 enodes) 1545561392.991 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561392.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561392.992 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561392.992 * * [misc]simplify: iters left: 6 (14 enodes) 1545561392.994 * * [misc]simplify: iters left: 5 (20 enodes) 1545561392.997 * * [misc]simplify: iters left: 4 (29 enodes) 1545561393.001 * * [misc]simplify: iters left: 3 (30 enodes) 1545561393.005 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561393.005 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561393.005 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545561393.006 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545561393.006 * * [misc]simplify: iters left: 6 (13 enodes) 1545561393.008 * * [misc]simplify: iters left: 5 (21 enodes) 1545561393.011 * * [misc]simplify: iters left: 4 (32 enodes) 1545561393.016 * * [misc]simplify: iters left: 3 (33 enodes) 1545561393.020 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545561393.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561393.020 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545561393.020 * * [misc]simplify: iters left: 6 (13 enodes) 1545561393.022 * * [misc]simplify: iters left: 5 (19 enodes) 1545561393.029 * * [misc]simplify: iters left: 4 (28 enodes) 1545561393.036 * * [misc]simplify: iters left: 3 (30 enodes) 1545561393.046 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545561393.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561393.046 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545561393.046 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561393.046 * * [misc]simplify: iters left: 6 (6 enodes) 1545561393.048 * * [misc]simplify: iters left: 5 (10 enodes) 1545561393.051 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545561393.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561393.051 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561393.052 * * [misc]simplify: iters left: 6 (13 enodes) 1545561393.056 * * [misc]simplify: iters left: 5 (19 enodes) 1545561393.061 * * [misc]simplify: iters left: 4 (28 enodes) 1545561393.068 * * [misc]simplify: iters left: 3 (30 enodes) 1545561393.072 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561393.072 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561393.072 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545561393.072 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545561393.072 * * [misc]simplify: iters left: 4 (5 enodes) 1545561393.073 * * [misc]simplify: iters left: 3 (7 enodes) 1545561393.074 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545561393.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561393.074 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561393.074 * * [misc]simplify: iters left: 6 (13 enodes) 1545561393.076 * * [misc]simplify: iters left: 5 (19 enodes) 1545561393.079 * * [misc]simplify: iters left: 4 (28 enodes) 1545561393.082 * * [misc]simplify: iters left: 3 (30 enodes) 1545561393.089 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561393.090 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561393.090 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545561393.090 * [enter]simplify: Simplifying (/ 1 1) 1545561393.090 * * [misc]simplify: iters left: 2 (2 enodes) 1545561393.091 * * [misc]simplify: iters left: 1 (4 enodes) 1545561393.091 * [exit]simplify: Simplified to 1 1545561393.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545561393.092 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545561393.092 * * [misc]simplify: iters left: 6 (12 enodes) 1545561393.096 * * [misc]simplify: iters left: 5 (18 enodes) 1545561393.101 * * [misc]simplify: iters left: 4 (27 enodes) 1545561393.108 * * [misc]simplify: iters left: 3 (29 enodes) 1545561393.114 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545561393.115 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545561393.115 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545561393.115 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545561393.115 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545561393.115 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545561393.115 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545561393.115 * * [misc]simplify: iters left: 2 (3 enodes) 1545561393.116 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545561393.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545561393.116 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545561393.116 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545561393.116 * * [misc]simplify: iters left: 2 (3 enodes) 1545561393.116 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545561393.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545561393.116 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545561393.117 * [enter]simplify: Simplifying (sqrt k) 1545561393.117 * * [misc]simplify: iters left: 1 (2 enodes) 1545561393.117 * [exit]simplify: Simplified to (sqrt k) 1545561393.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545561393.117 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545561393.117 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545561393.117 * * [misc]simplify: iters left: 5 (7 enodes) 1545561393.119 * * [misc]simplify: iters left: 4 (12 enodes) 1545561393.121 * * [misc]simplify: iters left: 3 (18 enodes) 1545561393.123 * * [misc]simplify: iters left: 2 (20 enodes) 1545561393.126 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545561393.126 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545561393.126 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545561393.126 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545561393.126 * * [misc]simplify: iters left: 5 (7 enodes) 1545561393.127 * * [misc]simplify: iters left: 4 (12 enodes) 1545561393.129 * * [misc]simplify: iters left: 3 (18 enodes) 1545561393.131 * * [misc]simplify: iters left: 2 (20 enodes) 1545561393.134 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545561393.134 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545561393.134 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545561393.134 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545561393.134 * * [misc]simplify: iters left: 5 (7 enodes) 1545561393.135 * * [misc]simplify: iters left: 4 (9 enodes) 1545561393.137 * * [misc]simplify: iters left: 3 (12 enodes) 1545561393.138 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545561393.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545561393.138 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545561393.138 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545561393.139 * * [misc]simplify: iters left: 6 (12 enodes) 1545561393.140 * * [misc]simplify: iters left: 5 (18 enodes) 1545561393.144 * * [misc]simplify: iters left: 4 (27 enodes) 1545561393.153 * * [misc]simplify: iters left: 3 (29 enodes) 1545561393.161 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545561393.161 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545561393.161 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545561393.162 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545561393.162 * * [misc]simplify: iters left: 6 (11 enodes) 1545561393.165 * * [misc]simplify: iters left: 5 (17 enodes) 1545561393.171 * * [misc]simplify: iters left: 4 (26 enodes) 1545561393.178 * * [misc]simplify: iters left: 3 (27 enodes) 1545561393.185 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545561393.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545561393.185 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545561393.185 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545561393.185 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545561393.185 * * [misc]simplify: iters left: 5 (7 enodes) 1545561393.188 * * [misc]simplify: iters left: 4 (12 enodes) 1545561393.191 * * [misc]simplify: iters left: 3 (18 enodes) 1545561393.196 * * [misc]simplify: iters left: 2 (20 enodes) 1545561393.201 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545561393.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545561393.201 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545561393.202 * [enter]simplify: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1545561393.202 * * [misc]simplify: iters left: 6 (37 enodes) 1545561393.218 * * [misc]simplify: iters left: 5 (108 enodes) 1545561393.251 * * [misc]simplify: iters left: 4 (368 enodes) 1545561393.549 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1545561393.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1545561393.549 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545561393.550 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545561393.550 * * [misc]simplify: iters left: 6 (15 enodes) 1545561393.557 * * [misc]simplify: iters left: 5 (33 enodes) 1545561393.564 * * [misc]simplify: iters left: 4 (64 enodes) 1545561393.578 * * [misc]simplify: iters left: 3 (179 enodes) 1545561393.658 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545561393.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545561393.659 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545561393.659 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545561393.659 * * [misc]simplify: iters left: 6 (15 enodes) 1545561393.662 * * [misc]simplify: iters left: 5 (30 enodes) 1545561393.669 * * [misc]simplify: iters left: 4 (65 enodes) 1545561393.693 * * [misc]simplify: iters left: 3 (208 enodes) 1545561393.823 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545561393.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545561393.823 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545561393.823 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545561393.823 * * [misc]simplify: iters left: 4 (5 enodes) 1545561393.824 * * [misc]simplify: iters left: 3 (9 enodes) 1545561393.825 * * [misc]simplify: iters left: 2 (15 enodes) 1545561393.827 * * [misc]simplify: iters left: 1 (17 enodes) 1545561393.829 * [exit]simplify: Simplified to (* (* PI n) 2) 1545561393.830 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561393.830 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545561393.830 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545561393.830 * * [misc]simplify: iters left: 4 (5 enodes) 1545561393.831 * * [misc]simplify: iters left: 3 (9 enodes) 1545561393.832 * * [misc]simplify: iters left: 2 (15 enodes) 1545561393.834 * * [misc]simplify: iters left: 1 (17 enodes) 1545561393.837 * [exit]simplify: Simplified to (* (* PI n) 2) 1545561393.837 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561393.837 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545561393.838 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545561393.838 * * [misc]simplify: iters left: 4 (5 enodes) 1545561393.839 * * [misc]simplify: iters left: 3 (9 enodes) 1545561393.842 * * [misc]simplify: iters left: 2 (15 enodes) 1545561393.846 * * [misc]simplify: iters left: 1 (17 enodes) 1545561393.850 * [exit]simplify: Simplified to (* (* PI n) 2) 1545561393.850 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561393.851 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545561393.851 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1545561393.851 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561393.851 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545561393.852 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545561393.852 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561393.852 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545561393.852 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545561393.852 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561393.852 * * * [misc]progress: adding candidates to table 1545561395.044 * * [misc]progress: iteration 2 / 4 1545561395.045 * * * [misc]progress: picking best candidate 1545561395.131 * * * * [misc]pick: Picked # 1545561395.131 * * * [misc]progress: localizing error 1545561395.157 * * * [misc]progress: generating rewritten candidates 1545561395.157 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545561395.159 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545561395.159 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545561395.164 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545561395.172 * * * [misc]progress: generating series expansions 1545561395.173 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545561395.173 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545561395.173 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545561395.173 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.173 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.173 * [misc]taylor: Taking taylor expansion of k in k 1545561395.173 * [misc]backup-simplify: Simplify 0 into 0 1545561395.173 * [misc]backup-simplify: Simplify 1 into 1 1545561395.173 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561395.173 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.173 * [misc]backup-simplify: Simplify 2 into 2 1545561395.173 * [misc]taylor: Taking taylor expansion of n in k 1545561395.173 * [misc]backup-simplify: Simplify n into n 1545561395.173 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561395.173 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561395.174 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.174 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.174 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.174 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561395.174 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561395.174 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561395.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561395.175 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561395.175 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561395.175 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.175 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561395.175 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.175 * [misc]taylor: Taking taylor expansion of k in n 1545561395.175 * [misc]backup-simplify: Simplify k into k 1545561395.175 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.175 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.175 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.175 * [misc]backup-simplify: Simplify 2 into 2 1545561395.175 * [misc]taylor: Taking taylor expansion of n in n 1545561395.175 * [misc]backup-simplify: Simplify 0 into 0 1545561395.175 * [misc]backup-simplify: Simplify 1 into 1 1545561395.175 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.175 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.176 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.176 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561395.176 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561395.176 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561395.176 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.177 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561395.177 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561395.177 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.177 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.177 * [misc]taylor: Taking taylor expansion of k in n 1545561395.177 * [misc]backup-simplify: Simplify k into k 1545561395.177 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.177 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.177 * [misc]backup-simplify: Simplify 2 into 2 1545561395.177 * [misc]taylor: Taking taylor expansion of n in n 1545561395.177 * [misc]backup-simplify: Simplify 0 into 0 1545561395.177 * [misc]backup-simplify: Simplify 1 into 1 1545561395.178 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.178 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.178 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.178 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561395.178 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561395.178 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561395.178 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.179 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561395.179 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561395.179 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545561395.179 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545561395.179 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545561395.179 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561395.179 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.179 * [misc]backup-simplify: Simplify 2 into 2 1545561395.180 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.180 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561395.180 * [misc]taylor: Taking taylor expansion of n in k 1545561395.180 * [misc]backup-simplify: Simplify n into n 1545561395.180 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561395.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.180 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.180 * [misc]taylor: Taking taylor expansion of k in k 1545561395.180 * [misc]backup-simplify: Simplify 0 into 0 1545561395.180 * [misc]backup-simplify: Simplify 1 into 1 1545561395.180 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545561395.180 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.181 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.181 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545561395.181 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561395.181 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561395.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.184 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.185 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561395.185 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.185 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.186 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561395.187 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.187 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.187 * [misc]backup-simplify: Simplify 0 into 0 1545561395.187 * [misc]backup-simplify: Simplify 0 into 0 1545561395.187 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561395.187 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.188 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.190 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.191 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561395.191 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.191 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545561395.192 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561395.193 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561395.193 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561395.198 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561395.198 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561395.198 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.198 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.199 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.199 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545561395.200 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561395.201 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.201 * [misc]backup-simplify: Simplify 0 into 0 1545561395.201 * [misc]backup-simplify: Simplify 0 into 0 1545561395.201 * [misc]backup-simplify: Simplify 0 into 0 1545561395.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.201 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.204 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561395.204 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561395.205 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.205 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545561395.206 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561395.207 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561395.211 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545561395.212 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.212 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545561395.212 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.212 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.212 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of k in k 1545561395.212 * [misc]backup-simplify: Simplify 0 into 0 1545561395.212 * [misc]backup-simplify: Simplify 1 into 1 1545561395.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.212 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561395.212 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.212 * [misc]backup-simplify: Simplify 2 into 2 1545561395.212 * [misc]taylor: Taking taylor expansion of n in k 1545561395.212 * [misc]backup-simplify: Simplify n into n 1545561395.212 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561395.212 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561395.212 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.212 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.212 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.212 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561395.213 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.213 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.213 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of k in n 1545561395.213 * [misc]backup-simplify: Simplify k into k 1545561395.213 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.213 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.213 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.213 * [misc]backup-simplify: Simplify 2 into 2 1545561395.213 * [misc]taylor: Taking taylor expansion of n in n 1545561395.213 * [misc]backup-simplify: Simplify 0 into 0 1545561395.213 * [misc]backup-simplify: Simplify 1 into 1 1545561395.213 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.213 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.213 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.213 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.213 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.214 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.214 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.214 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.214 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.214 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of k in n 1545561395.214 * [misc]backup-simplify: Simplify k into k 1545561395.214 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.214 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.214 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.214 * [misc]backup-simplify: Simplify 2 into 2 1545561395.214 * [misc]taylor: Taking taylor expansion of n in n 1545561395.214 * [misc]backup-simplify: Simplify 0 into 0 1545561395.214 * [misc]backup-simplify: Simplify 1 into 1 1545561395.214 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.215 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.215 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.215 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.215 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.215 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.215 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.215 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.215 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545561395.215 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.216 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.216 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of k in k 1545561395.216 * [misc]backup-simplify: Simplify 0 into 0 1545561395.216 * [misc]backup-simplify: Simplify 1 into 1 1545561395.216 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.216 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.216 * [misc]backup-simplify: Simplify 2 into 2 1545561395.216 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.216 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561395.216 * [misc]taylor: Taking taylor expansion of n in k 1545561395.216 * [misc]backup-simplify: Simplify n into n 1545561395.216 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561395.216 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.216 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.216 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.216 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561395.217 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545561395.217 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545561395.217 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.217 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.217 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561395.219 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.219 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.219 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.219 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.220 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.220 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561395.221 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.221 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.221 * [misc]backup-simplify: Simplify 0 into 0 1545561395.221 * [misc]backup-simplify: Simplify 0 into 0 1545561395.221 * [misc]backup-simplify: Simplify 0 into 0 1545561395.221 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.224 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561395.224 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.224 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561395.225 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.226 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545561395.228 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561395.228 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.228 * [misc]backup-simplify: Simplify 0 into 0 1545561395.228 * [misc]backup-simplify: Simplify 0 into 0 1545561395.228 * [misc]backup-simplify: Simplify 0 into 0 1545561395.228 * [misc]backup-simplify: Simplify 0 into 0 1545561395.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.236 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561395.236 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.236 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561395.237 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.237 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.237 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.238 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545561395.241 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561395.241 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.241 * [misc]backup-simplify: Simplify 0 into 0 1545561395.241 * [misc]backup-simplify: Simplify 0 into 0 1545561395.242 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545561395.242 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.242 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545561395.242 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.242 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561395.242 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561395.242 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.242 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.242 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.243 * [misc]taylor: Taking taylor expansion of k in k 1545561395.243 * [misc]backup-simplify: Simplify 0 into 0 1545561395.243 * [misc]backup-simplify: Simplify 1 into 1 1545561395.243 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.243 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561395.243 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561395.243 * [misc]taylor: Taking taylor expansion of -2 in k 1545561395.243 * [misc]backup-simplify: Simplify -2 into -2 1545561395.243 * [misc]taylor: Taking taylor expansion of n in k 1545561395.243 * [misc]backup-simplify: Simplify n into n 1545561395.243 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561395.243 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561395.243 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.243 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.244 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561395.244 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.244 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of k in n 1545561395.244 * [misc]backup-simplify: Simplify k into k 1545561395.244 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.244 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.244 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.244 * [misc]backup-simplify: Simplify -2 into -2 1545561395.244 * [misc]taylor: Taking taylor expansion of n in n 1545561395.244 * [misc]backup-simplify: Simplify 0 into 0 1545561395.244 * [misc]backup-simplify: Simplify 1 into 1 1545561395.244 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.244 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.244 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.244 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.245 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.245 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.245 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.245 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of k in n 1545561395.245 * [misc]backup-simplify: Simplify k into k 1545561395.245 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.245 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.245 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.245 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.246 * [misc]backup-simplify: Simplify -2 into -2 1545561395.246 * [misc]taylor: Taking taylor expansion of n in n 1545561395.246 * [misc]backup-simplify: Simplify 0 into 0 1545561395.246 * [misc]backup-simplify: Simplify 1 into 1 1545561395.246 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.246 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.246 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.246 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.246 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.246 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.247 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.247 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of k in k 1545561395.247 * [misc]backup-simplify: Simplify 0 into 0 1545561395.247 * [misc]backup-simplify: Simplify 1 into 1 1545561395.247 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.247 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of -2 in k 1545561395.247 * [misc]backup-simplify: Simplify -2 into -2 1545561395.247 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.247 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561395.247 * [misc]taylor: Taking taylor expansion of n in k 1545561395.247 * [misc]backup-simplify: Simplify n into n 1545561395.247 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561395.248 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.248 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.248 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561395.248 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545561395.248 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545561395.248 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.249 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.249 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561395.251 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561395.251 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.251 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.251 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561395.252 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.252 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.253 * [misc]backup-simplify: Simplify 0 into 0 1545561395.253 * [misc]backup-simplify: Simplify 0 into 0 1545561395.253 * [misc]backup-simplify: Simplify 0 into 0 1545561395.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.256 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545561395.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561395.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.257 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.257 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545561395.258 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561395.258 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.258 * [misc]backup-simplify: Simplify 0 into 0 1545561395.258 * [misc]backup-simplify: Simplify 0 into 0 1545561395.258 * [misc]backup-simplify: Simplify 0 into 0 1545561395.258 * [misc]backup-simplify: Simplify 0 into 0 1545561395.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.263 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545561395.263 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561395.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.264 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.264 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545561395.266 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561395.267 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.267 * [misc]backup-simplify: Simplify 0 into 0 1545561395.267 * [misc]backup-simplify: Simplify 0 into 0 1545561395.267 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545561395.267 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545561395.267 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545561395.267 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545561395.267 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561395.267 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561395.267 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561395.267 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.267 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.267 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.267 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.268 * [misc]taylor: Taking taylor expansion of k in k 1545561395.268 * [misc]backup-simplify: Simplify 0 into 0 1545561395.268 * [misc]backup-simplify: Simplify 1 into 1 1545561395.268 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.268 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.268 * [misc]backup-simplify: Simplify PI into PI 1545561395.268 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.268 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.268 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.268 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.269 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.269 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561395.269 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561395.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561395.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561395.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.269 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.269 * [misc]taylor: Taking taylor expansion of k in k 1545561395.269 * [misc]backup-simplify: Simplify 0 into 0 1545561395.269 * [misc]backup-simplify: Simplify 1 into 1 1545561395.269 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.269 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.269 * [misc]backup-simplify: Simplify PI into PI 1545561395.270 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.270 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.270 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.270 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.270 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.271 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561395.271 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545561395.273 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561395.273 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561395.273 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.273 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561395.276 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545561395.276 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545561395.279 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561395.279 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.279 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.280 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561395.285 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545561395.287 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545561395.289 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545561395.290 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.290 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545561395.290 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of k in k 1545561395.290 * [misc]backup-simplify: Simplify 0 into 0 1545561395.290 * [misc]backup-simplify: Simplify 1 into 1 1545561395.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.290 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.290 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.290 * [misc]backup-simplify: Simplify PI into PI 1545561395.291 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.291 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.291 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.291 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.291 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561395.292 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.292 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of k in k 1545561395.292 * [misc]backup-simplify: Simplify 0 into 0 1545561395.292 * [misc]backup-simplify: Simplify 1 into 1 1545561395.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.292 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.292 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.292 * [misc]backup-simplify: Simplify PI into PI 1545561395.293 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.293 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.293 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.293 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.294 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561395.294 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.294 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.294 * [misc]backup-simplify: Simplify 0 into 0 1545561395.294 * [misc]backup-simplify: Simplify 0 into 0 1545561395.294 * [misc]backup-simplify: Simplify 0 into 0 1545561395.294 * [misc]backup-simplify: Simplify 0 into 0 1545561395.294 * [misc]backup-simplify: Simplify 0 into 0 1545561395.294 * [misc]backup-simplify: Simplify 0 into 0 1545561395.295 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545561395.295 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.295 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545561395.295 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of k in k 1545561395.295 * [misc]backup-simplify: Simplify 0 into 0 1545561395.295 * [misc]backup-simplify: Simplify 1 into 1 1545561395.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.295 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.295 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.295 * [misc]backup-simplify: Simplify PI into PI 1545561395.296 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.296 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.296 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.296 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.297 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.297 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of k in k 1545561395.297 * [misc]backup-simplify: Simplify 0 into 0 1545561395.297 * [misc]backup-simplify: Simplify 1 into 1 1545561395.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.297 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.297 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.297 * [misc]backup-simplify: Simplify PI into PI 1545561395.298 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.298 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.298 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.299 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.299 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.299 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.299 * [misc]backup-simplify: Simplify 0 into 0 1545561395.299 * [misc]backup-simplify: Simplify 0 into 0 1545561395.299 * [misc]backup-simplify: Simplify 0 into 0 1545561395.299 * [misc]backup-simplify: Simplify 0 into 0 1545561395.299 * [misc]backup-simplify: Simplify 0 into 0 1545561395.299 * [misc]backup-simplify: Simplify 0 into 0 1545561395.300 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545561395.300 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545561395.300 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1545561395.300 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1545561395.300 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.300 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.300 * [misc]taylor: Taking taylor expansion of k in k 1545561395.300 * [misc]backup-simplify: Simplify 0 into 0 1545561395.300 * [misc]backup-simplify: Simplify 1 into 1 1545561395.300 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561395.300 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.300 * [misc]backup-simplify: Simplify 2 into 2 1545561395.300 * [misc]taylor: Taking taylor expansion of n in k 1545561395.300 * [misc]backup-simplify: Simplify n into n 1545561395.300 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561395.301 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561395.301 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.301 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.301 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.301 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561395.301 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561395.301 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561395.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.301 * [misc]taylor: Taking taylor expansion of k in k 1545561395.301 * [misc]backup-simplify: Simplify 0 into 0 1545561395.301 * [misc]backup-simplify: Simplify 1 into 1 1545561395.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.302 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.302 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.302 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545561395.302 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561395.302 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561395.302 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561395.303 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561395.303 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.303 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561395.303 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.303 * [misc]taylor: Taking taylor expansion of k in n 1545561395.303 * [misc]backup-simplify: Simplify k into k 1545561395.303 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.303 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.303 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.303 * [misc]backup-simplify: Simplify 2 into 2 1545561395.303 * [misc]taylor: Taking taylor expansion of n in n 1545561395.303 * [misc]backup-simplify: Simplify 0 into 0 1545561395.303 * [misc]backup-simplify: Simplify 1 into 1 1545561395.303 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.303 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.303 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.303 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561395.304 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561395.304 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561395.304 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.304 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561395.305 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561395.305 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of k in n 1545561395.305 * [misc]backup-simplify: Simplify k into k 1545561395.305 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.305 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561395.305 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.305 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561395.305 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.305 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.305 * [misc]taylor: Taking taylor expansion of k in n 1545561395.305 * [misc]backup-simplify: Simplify k into k 1545561395.305 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.305 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.306 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.306 * [misc]backup-simplify: Simplify 2 into 2 1545561395.306 * [misc]taylor: Taking taylor expansion of n in n 1545561395.306 * [misc]backup-simplify: Simplify 0 into 0 1545561395.306 * [misc]backup-simplify: Simplify 1 into 1 1545561395.306 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.306 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.306 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.306 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561395.306 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561395.306 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561395.307 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.307 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561395.307 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561395.308 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561395.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.308 * [misc]taylor: Taking taylor expansion of k in n 1545561395.308 * [misc]backup-simplify: Simplify k into k 1545561395.308 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.308 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561395.308 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.308 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561395.308 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545561395.309 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.309 * [misc]backup-simplify: Simplify 2 into 2 1545561395.309 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.309 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of n in k 1545561395.309 * [misc]backup-simplify: Simplify n into n 1545561395.309 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561395.309 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.309 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.309 * [misc]taylor: Taking taylor expansion of k in k 1545561395.309 * [misc]backup-simplify: Simplify 0 into 0 1545561395.309 * [misc]backup-simplify: Simplify 1 into 1 1545561395.309 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545561395.310 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.310 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.310 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.310 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545561395.310 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561395.311 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561395.311 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.311 * [misc]taylor: Taking taylor expansion of k in k 1545561395.311 * [misc]backup-simplify: Simplify 0 into 0 1545561395.311 * [misc]backup-simplify: Simplify 1 into 1 1545561395.311 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.311 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.311 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.312 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1545561395.312 * [misc]backup-simplify: Simplify 0 into 0 1545561395.312 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.314 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.315 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561395.315 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.315 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.316 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561395.318 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.318 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545561395.318 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.318 * [misc]backup-simplify: Simplify 0 into 0 1545561395.318 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561395.318 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.319 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.321 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.322 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561395.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.322 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545561395.323 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561395.324 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545561395.324 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545561395.325 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.325 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545561395.326 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561395.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561395.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561395.330 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.331 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.331 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545561395.333 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561395.334 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545561395.334 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.334 * [misc]backup-simplify: Simplify 0 into 0 1545561395.334 * [misc]backup-simplify: Simplify 0 into 0 1545561395.334 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561395.336 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561395.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.336 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.336 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.340 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561395.342 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561395.342 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.343 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545561395.344 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561395.347 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545561395.348 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545561395.348 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.349 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545561395.349 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545561395.357 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561395.358 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545561395.358 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.359 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.359 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1545561395.363 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561395.364 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545561395.364 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.364 * [misc]backup-simplify: Simplify 0 into 0 1545561395.364 * [misc]backup-simplify: Simplify 0 into 0 1545561395.364 * [misc]backup-simplify: Simplify 0 into 0 1545561395.364 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.365 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561395.366 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561395.366 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.371 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561395.373 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545561395.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.373 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545561395.375 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1545561395.377 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545561395.380 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545561395.384 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545561395.384 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1545561395.384 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1545561395.384 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.384 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.384 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.384 * [misc]taylor: Taking taylor expansion of k in k 1545561395.384 * [misc]backup-simplify: Simplify 0 into 0 1545561395.384 * [misc]backup-simplify: Simplify 1 into 1 1545561395.384 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.385 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561395.385 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561395.385 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.385 * [misc]backup-simplify: Simplify 2 into 2 1545561395.385 * [misc]taylor: Taking taylor expansion of n in k 1545561395.385 * [misc]backup-simplify: Simplify n into n 1545561395.385 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561395.385 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561395.385 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.385 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.385 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.385 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561395.385 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.385 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561395.385 * [misc]taylor: Taking taylor expansion of k in k 1545561395.385 * [misc]backup-simplify: Simplify 0 into 0 1545561395.385 * [misc]backup-simplify: Simplify 1 into 1 1545561395.385 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.386 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.386 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of k in n 1545561395.386 * [misc]backup-simplify: Simplify k into k 1545561395.386 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.386 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.386 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.386 * [misc]backup-simplify: Simplify 2 into 2 1545561395.386 * [misc]taylor: Taking taylor expansion of n in n 1545561395.386 * [misc]backup-simplify: Simplify 0 into 0 1545561395.386 * [misc]backup-simplify: Simplify 1 into 1 1545561395.386 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.386 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.386 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.386 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.387 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.387 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.387 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.387 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.387 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of k in n 1545561395.387 * [misc]backup-simplify: Simplify k into k 1545561395.387 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561395.387 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561395.387 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.388 * [misc]taylor: Taking taylor expansion of k in n 1545561395.388 * [misc]backup-simplify: Simplify k into k 1545561395.388 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.388 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.388 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.388 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.388 * [misc]backup-simplify: Simplify 2 into 2 1545561395.388 * [misc]taylor: Taking taylor expansion of n in n 1545561395.388 * [misc]backup-simplify: Simplify 0 into 0 1545561395.388 * [misc]backup-simplify: Simplify 1 into 1 1545561395.388 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.388 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.388 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.388 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.388 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.388 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.388 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.389 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.389 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561395.389 * [misc]taylor: Taking taylor expansion of k in n 1545561395.389 * [misc]backup-simplify: Simplify k into k 1545561395.389 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561395.389 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561395.389 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561395.389 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545561395.389 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561395.389 * [misc]taylor: Taking taylor expansion of k in k 1545561395.389 * [misc]backup-simplify: Simplify 0 into 0 1545561395.389 * [misc]backup-simplify: Simplify 1 into 1 1545561395.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.390 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.390 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of k in k 1545561395.390 * [misc]backup-simplify: Simplify 0 into 0 1545561395.390 * [misc]backup-simplify: Simplify 1 into 1 1545561395.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.390 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.390 * [misc]backup-simplify: Simplify 2 into 2 1545561395.390 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.390 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561395.390 * [misc]taylor: Taking taylor expansion of n in k 1545561395.390 * [misc]backup-simplify: Simplify n into n 1545561395.390 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561395.390 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.390 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.390 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.391 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561395.391 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545561395.391 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545561395.391 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.391 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1545561395.391 * [misc]backup-simplify: Simplify 0 into 0 1545561395.391 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561395.393 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.393 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.394 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.394 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561395.395 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.395 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1545561395.395 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.395 * [misc]backup-simplify: Simplify 0 into 0 1545561395.395 * [misc]backup-simplify: Simplify 0 into 0 1545561395.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.396 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.396 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545561395.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.399 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561395.399 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.399 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561395.399 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.399 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.400 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.400 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545561395.401 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561395.401 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545561395.401 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.401 * [misc]backup-simplify: Simplify 0 into 0 1545561395.401 * [misc]backup-simplify: Simplify 0 into 0 1545561395.402 * [misc]backup-simplify: Simplify 0 into 0 1545561395.402 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561395.403 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.403 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.403 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545561395.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.407 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561395.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.408 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561395.408 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.409 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545561395.411 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561395.411 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545561395.411 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.411 * [misc]backup-simplify: Simplify 0 into 0 1545561395.411 * [misc]backup-simplify: Simplify 0 into 0 1545561395.411 * [misc]backup-simplify: Simplify 0 into 0 1545561395.411 * [misc]backup-simplify: Simplify 0 into 0 1545561395.412 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561395.413 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.413 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.414 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561395.414 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545561395.414 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545561395.414 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of k in k 1545561395.414 * [misc]backup-simplify: Simplify 0 into 0 1545561395.414 * [misc]backup-simplify: Simplify 1 into 1 1545561395.414 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.414 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561395.414 * [misc]taylor: Taking taylor expansion of -2 in k 1545561395.414 * [misc]backup-simplify: Simplify -2 into -2 1545561395.414 * [misc]taylor: Taking taylor expansion of n in k 1545561395.414 * [misc]backup-simplify: Simplify n into n 1545561395.414 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561395.415 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561395.415 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.415 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561395.415 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561395.415 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561395.415 * [misc]taylor: Taking taylor expansion of -1 in k 1545561395.415 * [misc]backup-simplify: Simplify -1 into -1 1545561395.415 * [misc]taylor: Taking taylor expansion of k in k 1545561395.415 * [misc]backup-simplify: Simplify 0 into 0 1545561395.415 * [misc]backup-simplify: Simplify 1 into 1 1545561395.415 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561395.415 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.416 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561395.416 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.416 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of k in n 1545561395.416 * [misc]backup-simplify: Simplify k into k 1545561395.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.416 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.416 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.416 * [misc]backup-simplify: Simplify -2 into -2 1545561395.416 * [misc]taylor: Taking taylor expansion of n in n 1545561395.416 * [misc]backup-simplify: Simplify 0 into 0 1545561395.416 * [misc]backup-simplify: Simplify 1 into 1 1545561395.416 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.416 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.416 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.416 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.417 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.417 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.417 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561395.417 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561395.417 * [misc]taylor: Taking taylor expansion of -1 in n 1545561395.417 * [misc]backup-simplify: Simplify -1 into -1 1545561395.417 * [misc]taylor: Taking taylor expansion of k in n 1545561395.417 * [misc]backup-simplify: Simplify k into k 1545561395.417 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561395.417 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561395.417 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561395.417 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561395.418 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545561395.418 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of k in n 1545561395.418 * [misc]backup-simplify: Simplify k into k 1545561395.418 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.418 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.418 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.418 * [misc]backup-simplify: Simplify -2 into -2 1545561395.418 * [misc]taylor: Taking taylor expansion of n in n 1545561395.418 * [misc]backup-simplify: Simplify 0 into 0 1545561395.418 * [misc]backup-simplify: Simplify 1 into 1 1545561395.418 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.418 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.418 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.418 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.419 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.419 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.419 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561395.419 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561395.419 * [misc]taylor: Taking taylor expansion of -1 in n 1545561395.419 * [misc]backup-simplify: Simplify -1 into -1 1545561395.419 * [misc]taylor: Taking taylor expansion of k in n 1545561395.419 * [misc]backup-simplify: Simplify k into k 1545561395.419 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561395.419 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561395.419 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561395.419 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561395.419 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545561395.420 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of k in k 1545561395.420 * [misc]backup-simplify: Simplify 0 into 0 1545561395.420 * [misc]backup-simplify: Simplify 1 into 1 1545561395.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.420 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of -2 in k 1545561395.420 * [misc]backup-simplify: Simplify -2 into -2 1545561395.420 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.420 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561395.420 * [misc]taylor: Taking taylor expansion of n in k 1545561395.420 * [misc]backup-simplify: Simplify n into n 1545561395.420 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561395.420 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.420 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.420 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561395.421 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545561395.421 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545561395.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.421 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561395.421 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561395.421 * [misc]taylor: Taking taylor expansion of -1 in k 1545561395.421 * [misc]backup-simplify: Simplify -1 into -1 1545561395.421 * [misc]taylor: Taking taylor expansion of k in k 1545561395.421 * [misc]backup-simplify: Simplify 0 into 0 1545561395.421 * [misc]backup-simplify: Simplify 1 into 1 1545561395.421 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561395.421 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.422 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561395.422 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545561395.422 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545561395.422 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561395.425 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561395.425 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.425 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.426 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561395.427 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.428 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545561395.428 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.428 * [misc]backup-simplify: Simplify 0 into 0 1545561395.428 * [misc]backup-simplify: Simplify 0 into 0 1545561395.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545561395.429 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561395.430 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561395.431 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561395.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.436 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545561395.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561395.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.437 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545561395.438 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561395.438 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561395.439 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545561395.439 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545561395.439 * [misc]taylor: Taking taylor expansion of 0 in k 1545561395.439 * [misc]backup-simplify: Simplify 0 into 0 1545561395.439 * [misc]backup-simplify: Simplify 0 into 0 1545561395.439 * [misc]backup-simplify: Simplify 0 into 0 1545561395.440 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.440 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561395.441 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561395.441 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561395.442 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545561395.442 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545561395.442 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545561395.443 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545561395.443 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.443 * [misc]taylor: Taking taylor expansion of k in n 1545561395.443 * [misc]backup-simplify: Simplify k into k 1545561395.443 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.443 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.443 * [misc]backup-simplify: Simplify 2 into 2 1545561395.443 * [misc]taylor: Taking taylor expansion of n in n 1545561395.443 * [misc]backup-simplify: Simplify 0 into 0 1545561395.443 * [misc]backup-simplify: Simplify 1 into 1 1545561395.443 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.443 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.443 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.443 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561395.443 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561395.443 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561395.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.444 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561395.444 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561395.444 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545561395.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545561395.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545561395.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561395.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.444 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561395.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.444 * [misc]taylor: Taking taylor expansion of k in n 1545561395.444 * [misc]backup-simplify: Simplify k into k 1545561395.444 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.444 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.444 * [misc]backup-simplify: Simplify PI into PI 1545561395.445 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.445 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561395.445 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561395.445 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561395.445 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545561395.445 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545561395.445 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561395.445 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.445 * [misc]taylor: Taking taylor expansion of k in n 1545561395.445 * [misc]backup-simplify: Simplify k into k 1545561395.445 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.445 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561395.445 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.445 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561395.446 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.446 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.446 * [misc]taylor: Taking taylor expansion of k in k 1545561395.446 * [misc]backup-simplify: Simplify 0 into 0 1545561395.446 * [misc]backup-simplify: Simplify 1 into 1 1545561395.446 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.446 * [misc]backup-simplify: Simplify 2 into 2 1545561395.446 * [misc]taylor: Taking taylor expansion of n in k 1545561395.446 * [misc]backup-simplify: Simplify n into n 1545561395.446 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561395.446 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561395.446 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.446 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.446 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.446 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561395.446 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561395.446 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.446 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.447 * [misc]taylor: Taking taylor expansion of k in k 1545561395.447 * [misc]backup-simplify: Simplify 0 into 0 1545561395.447 * [misc]backup-simplify: Simplify 1 into 1 1545561395.447 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.447 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.447 * [misc]backup-simplify: Simplify PI into PI 1545561395.447 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.447 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.447 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.447 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.448 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561395.448 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561395.448 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.448 * [misc]taylor: Taking taylor expansion of k in k 1545561395.448 * [misc]backup-simplify: Simplify 0 into 0 1545561395.448 * [misc]backup-simplify: Simplify 1 into 1 1545561395.448 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.448 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.449 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.449 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.449 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.449 * [misc]taylor: Taking taylor expansion of k in k 1545561395.449 * [misc]backup-simplify: Simplify 0 into 0 1545561395.449 * [misc]backup-simplify: Simplify 1 into 1 1545561395.449 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561395.449 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.449 * [misc]backup-simplify: Simplify 2 into 2 1545561395.449 * [misc]taylor: Taking taylor expansion of n in k 1545561395.449 * [misc]backup-simplify: Simplify n into n 1545561395.449 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561395.449 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561395.449 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.449 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.449 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.449 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561395.449 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561395.449 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561395.450 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561395.450 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561395.450 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561395.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.450 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561395.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.450 * [misc]taylor: Taking taylor expansion of k in k 1545561395.450 * [misc]backup-simplify: Simplify 0 into 0 1545561395.450 * [misc]backup-simplify: Simplify 1 into 1 1545561395.450 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.450 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.450 * [misc]backup-simplify: Simplify PI into PI 1545561395.450 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.450 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561395.450 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.450 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.451 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.451 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561395.451 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561395.451 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.451 * [misc]taylor: Taking taylor expansion of k in k 1545561395.451 * [misc]backup-simplify: Simplify 0 into 0 1545561395.451 * [misc]backup-simplify: Simplify 1 into 1 1545561395.451 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.451 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.452 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.452 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545561395.452 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545561395.452 * [misc]taylor: Taking taylor expansion of 0 in n 1545561395.452 * [misc]backup-simplify: Simplify 0 into 0 1545561395.452 * [misc]backup-simplify: Simplify 0 into 0 1545561395.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561395.454 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561395.454 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.454 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561395.457 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545561395.457 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545561395.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545561395.458 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561395.458 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.458 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.458 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545561395.458 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545561395.459 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545561395.460 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545561395.460 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545561395.460 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561395.460 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.460 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.460 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561395.460 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.460 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.460 * [misc]backup-simplify: Simplify 2 into 2 1545561395.460 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.461 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.461 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561395.461 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561395.461 * [misc]taylor: Taking taylor expansion of n in n 1545561395.461 * [misc]backup-simplify: Simplify 0 into 0 1545561395.461 * [misc]backup-simplify: Simplify 1 into 1 1545561395.461 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.461 * [misc]backup-simplify: Simplify PI into PI 1545561395.461 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561395.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561395.461 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.462 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.462 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561395.462 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.462 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.462 * [misc]backup-simplify: Simplify 0 into 0 1545561395.462 * [misc]backup-simplify: Simplify 0 into 0 1545561395.462 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561395.465 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561395.469 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561395.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.470 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.471 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561395.475 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545561395.475 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545561395.476 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545561395.477 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.477 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.477 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.477 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545561395.479 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545561395.482 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545561395.485 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545561395.485 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545561395.485 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545561395.485 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561395.485 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.485 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.485 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561395.485 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561395.485 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.485 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.485 * [misc]backup-simplify: Simplify 2 into 2 1545561395.486 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.486 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.486 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.486 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.486 * [misc]backup-simplify: Simplify PI into PI 1545561395.486 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.486 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561395.486 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561395.486 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.486 * [misc]backup-simplify: Simplify PI into PI 1545561395.486 * [misc]taylor: Taking taylor expansion of n in n 1545561395.486 * [misc]backup-simplify: Simplify 0 into 0 1545561395.486 * [misc]backup-simplify: Simplify 1 into 1 1545561395.487 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561395.487 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561395.487 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.488 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.488 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.488 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.488 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.488 * [misc]backup-simplify: Simplify 2 into 2 1545561395.488 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.488 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.488 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561395.488 * [misc]taylor: Taking taylor expansion of n in n 1545561395.488 * [misc]backup-simplify: Simplify 0 into 0 1545561395.488 * [misc]backup-simplify: Simplify 1 into 1 1545561395.488 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.488 * [misc]backup-simplify: Simplify PI into PI 1545561395.489 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561395.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561395.489 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.490 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.490 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.490 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.490 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.490 * [misc]backup-simplify: Simplify 2 into 2 1545561395.490 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.490 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.490 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.490 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.491 * [misc]backup-simplify: Simplify 2 into 2 1545561395.491 * [misc]taylor: Taking taylor expansion of n in n 1545561395.491 * [misc]backup-simplify: Simplify 0 into 0 1545561395.491 * [misc]backup-simplify: Simplify 1 into 1 1545561395.491 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.491 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.491 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.491 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561395.491 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561395.491 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.491 * [misc]backup-simplify: Simplify PI into PI 1545561395.491 * [misc]taylor: Taking taylor expansion of n in n 1545561395.491 * [misc]backup-simplify: Simplify 0 into 0 1545561395.491 * [misc]backup-simplify: Simplify 1 into 1 1545561395.492 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561395.492 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561395.492 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.493 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.493 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561395.494 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561395.495 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.495 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561395.495 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.496 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561395.496 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561395.496 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.497 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.497 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.497 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.497 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.497 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.497 * [misc]backup-simplify: Simplify 0 into 0 1545561395.499 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561395.500 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561395.502 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561395.503 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561395.503 * [misc]backup-simplify: Simplify 0 into 0 1545561395.503 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.504 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561395.511 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561395.512 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561395.512 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.514 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561395.521 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545561395.522 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545561395.524 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545561395.525 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561395.525 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.525 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.525 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545561395.527 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545561395.533 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545561395.543 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545561395.543 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545561395.543 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545561395.543 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561395.543 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.543 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.543 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561395.543 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561395.543 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.543 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.543 * [misc]backup-simplify: Simplify 2 into 2 1545561395.543 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.544 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.544 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.544 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.544 * [misc]backup-simplify: Simplify PI into PI 1545561395.544 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.544 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561395.544 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561395.544 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.544 * [misc]backup-simplify: Simplify PI into PI 1545561395.544 * [misc]taylor: Taking taylor expansion of n in n 1545561395.544 * [misc]backup-simplify: Simplify 0 into 0 1545561395.544 * [misc]backup-simplify: Simplify 1 into 1 1545561395.544 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561395.545 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561395.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.546 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.546 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.546 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.546 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.546 * [misc]backup-simplify: Simplify 2 into 2 1545561395.546 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.546 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.546 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545561395.546 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.547 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.547 * [misc]backup-simplify: Simplify PI into PI 1545561395.547 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.547 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561395.547 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561395.547 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.547 * [misc]backup-simplify: Simplify PI into PI 1545561395.547 * [misc]taylor: Taking taylor expansion of n in n 1545561395.547 * [misc]backup-simplify: Simplify 0 into 0 1545561395.547 * [misc]backup-simplify: Simplify 1 into 1 1545561395.547 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561395.548 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561395.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.549 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.549 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.549 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.549 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.549 * [misc]backup-simplify: Simplify 2 into 2 1545561395.549 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.549 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.549 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.549 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.549 * [misc]backup-simplify: Simplify 2 into 2 1545561395.549 * [misc]taylor: Taking taylor expansion of n in n 1545561395.550 * [misc]backup-simplify: Simplify 0 into 0 1545561395.550 * [misc]backup-simplify: Simplify 1 into 1 1545561395.550 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.550 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.550 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.550 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.550 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561395.550 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561395.551 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.551 * [misc]backup-simplify: Simplify PI into PI 1545561395.551 * [misc]taylor: Taking taylor expansion of n in n 1545561395.551 * [misc]backup-simplify: Simplify 0 into 0 1545561395.551 * [misc]backup-simplify: Simplify 1 into 1 1545561395.551 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561395.551 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561395.552 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.552 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.552 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545561395.552 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545561395.552 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545561395.552 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.552 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.552 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545561395.552 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545561395.552 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.552 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.552 * [misc]backup-simplify: Simplify 2 into 2 1545561395.553 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.553 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.553 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545561395.553 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.553 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.553 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.553 * [misc]backup-simplify: Simplify 2 into 2 1545561395.553 * [misc]taylor: Taking taylor expansion of n in n 1545561395.553 * [misc]backup-simplify: Simplify 0 into 0 1545561395.553 * [misc]backup-simplify: Simplify 1 into 1 1545561395.553 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.553 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.554 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.554 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.554 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.554 * [misc]backup-simplify: Simplify PI into PI 1545561395.554 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.554 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561395.554 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561395.554 * [misc]taylor: Taking taylor expansion of n in n 1545561395.554 * [misc]backup-simplify: Simplify 0 into 0 1545561395.554 * [misc]backup-simplify: Simplify 1 into 1 1545561395.554 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.554 * [misc]backup-simplify: Simplify PI into PI 1545561395.554 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561395.555 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561395.555 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.556 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.556 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.556 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.556 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.556 * [misc]backup-simplify: Simplify 2 into 2 1545561395.556 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.556 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.556 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561395.556 * [misc]taylor: Taking taylor expansion of n in n 1545561395.556 * [misc]backup-simplify: Simplify 0 into 0 1545561395.556 * [misc]backup-simplify: Simplify 1 into 1 1545561395.557 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.557 * [misc]backup-simplify: Simplify PI into PI 1545561395.557 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561395.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561395.558 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.558 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.558 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561395.558 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561395.558 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.558 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.558 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561395.558 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561395.558 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561395.558 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.558 * [misc]backup-simplify: Simplify 2 into 2 1545561395.558 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561395.559 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561395.559 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561395.559 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561395.559 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.559 * [misc]backup-simplify: Simplify 2 into 2 1545561395.559 * [misc]taylor: Taking taylor expansion of n in n 1545561395.559 * [misc]backup-simplify: Simplify 0 into 0 1545561395.559 * [misc]backup-simplify: Simplify 1 into 1 1545561395.559 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561395.559 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561395.559 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.560 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561395.560 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561395.560 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.560 * [misc]backup-simplify: Simplify PI into PI 1545561395.560 * [misc]taylor: Taking taylor expansion of n in n 1545561395.560 * [misc]backup-simplify: Simplify 0 into 0 1545561395.560 * [misc]backup-simplify: Simplify 1 into 1 1545561395.560 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561395.561 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561395.561 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.561 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561395.562 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561395.563 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561395.563 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.564 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545561395.564 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545561395.566 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545561395.566 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.566 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.567 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.567 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545561395.567 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545561395.568 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545561395.568 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.568 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.569 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545561395.569 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545561395.570 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545561395.570 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.571 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561395.571 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.571 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.571 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561395.572 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561395.572 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561395.572 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.572 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.574 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.574 * [misc]backup-simplify: Simplify 0 into 0 1545561395.576 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561395.577 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545561395.579 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561395.582 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561395.583 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561395.585 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561395.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561395.587 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.588 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561395.588 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561395.589 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561395.591 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561395.593 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561395.596 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545561395.599 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545561395.603 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561395.607 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561395.611 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561395.612 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545561395.613 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545561395.614 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545561395.615 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561395.618 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561395.619 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561395.620 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561395.626 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545561395.626 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545561395.626 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545561395.626 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of k in n 1545561395.626 * [misc]backup-simplify: Simplify k into k 1545561395.626 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.626 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.626 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.626 * [misc]backup-simplify: Simplify PI into PI 1545561395.627 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.627 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.627 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.627 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.627 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561395.627 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.627 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.627 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.627 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.627 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.628 * [misc]taylor: Taking taylor expansion of k in n 1545561395.628 * [misc]backup-simplify: Simplify k into k 1545561395.628 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.628 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.628 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.628 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.628 * [misc]backup-simplify: Simplify 2 into 2 1545561395.628 * [misc]taylor: Taking taylor expansion of n in n 1545561395.628 * [misc]backup-simplify: Simplify 0 into 0 1545561395.628 * [misc]backup-simplify: Simplify 1 into 1 1545561395.628 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.628 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.628 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.628 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.628 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.628 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.629 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.629 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.629 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561395.629 * [misc]taylor: Taking taylor expansion of k in n 1545561395.629 * [misc]backup-simplify: Simplify k into k 1545561395.629 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561395.629 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561395.629 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.629 * [misc]taylor: Taking taylor expansion of k in k 1545561395.629 * [misc]backup-simplify: Simplify 0 into 0 1545561395.629 * [misc]backup-simplify: Simplify 1 into 1 1545561395.630 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.630 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.630 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.630 * [misc]backup-simplify: Simplify PI into PI 1545561395.630 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.630 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.630 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.630 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.631 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561395.631 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.631 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of k in k 1545561395.631 * [misc]backup-simplify: Simplify 0 into 0 1545561395.631 * [misc]backup-simplify: Simplify 1 into 1 1545561395.631 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.631 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561395.631 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.631 * [misc]backup-simplify: Simplify 2 into 2 1545561395.631 * [misc]taylor: Taking taylor expansion of n in k 1545561395.631 * [misc]backup-simplify: Simplify n into n 1545561395.632 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561395.632 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561395.632 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.632 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.632 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.632 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561395.632 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.632 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561395.632 * [misc]taylor: Taking taylor expansion of k in k 1545561395.633 * [misc]backup-simplify: Simplify 0 into 0 1545561395.633 * [misc]backup-simplify: Simplify 1 into 1 1545561395.633 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.633 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.633 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545561395.633 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561395.633 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.633 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561395.633 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561395.633 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.633 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.634 * [misc]taylor: Taking taylor expansion of k in k 1545561395.634 * [misc]backup-simplify: Simplify 0 into 0 1545561395.634 * [misc]backup-simplify: Simplify 1 into 1 1545561395.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.634 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.634 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.634 * [misc]backup-simplify: Simplify PI into PI 1545561395.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.634 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.634 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.635 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.635 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561395.636 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.636 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.636 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of k in k 1545561395.636 * [misc]backup-simplify: Simplify 0 into 0 1545561395.636 * [misc]backup-simplify: Simplify 1 into 1 1545561395.636 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.636 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561395.636 * [misc]taylor: Taking taylor expansion of 2 in k 1545561395.636 * [misc]backup-simplify: Simplify 2 into 2 1545561395.636 * [misc]taylor: Taking taylor expansion of n in k 1545561395.636 * [misc]backup-simplify: Simplify n into n 1545561395.636 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561395.636 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561395.637 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.637 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561395.637 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561395.637 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561395.637 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.637 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561395.637 * [misc]taylor: Taking taylor expansion of k in k 1545561395.637 * [misc]backup-simplify: Simplify 0 into 0 1545561395.637 * [misc]backup-simplify: Simplify 1 into 1 1545561395.638 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.638 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561395.638 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545561395.639 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545561395.639 * [misc]taylor: Taking taylor expansion of 0 in n 1545561395.639 * [misc]backup-simplify: Simplify 0 into 0 1545561395.639 * [misc]backup-simplify: Simplify 0 into 0 1545561395.639 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545561395.640 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561395.640 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.640 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.640 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.640 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of k in n 1545561395.640 * [misc]backup-simplify: Simplify k into k 1545561395.640 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.640 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.640 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.640 * [misc]backup-simplify: Simplify PI into PI 1545561395.641 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.641 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.641 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.641 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.641 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561395.642 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.642 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of k in n 1545561395.642 * [misc]backup-simplify: Simplify k into k 1545561395.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.642 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.642 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.642 * [misc]backup-simplify: Simplify 2 into 2 1545561395.642 * [misc]taylor: Taking taylor expansion of n in n 1545561395.642 * [misc]backup-simplify: Simplify 0 into 0 1545561395.642 * [misc]backup-simplify: Simplify 1 into 1 1545561395.642 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.643 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.643 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.643 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.643 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.643 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.644 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.644 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.644 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561395.645 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.645 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561395.646 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561395.646 * [misc]backup-simplify: Simplify 0 into 0 1545561395.647 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561395.648 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545561395.649 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561395.649 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.649 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.649 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of k in n 1545561395.649 * [misc]backup-simplify: Simplify k into k 1545561395.649 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.649 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.649 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.649 * [misc]backup-simplify: Simplify PI into PI 1545561395.650 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.650 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.650 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.650 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.650 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561395.651 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.651 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of k in n 1545561395.651 * [misc]backup-simplify: Simplify k into k 1545561395.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.651 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.651 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.651 * [misc]backup-simplify: Simplify 2 into 2 1545561395.651 * [misc]taylor: Taking taylor expansion of n in n 1545561395.651 * [misc]backup-simplify: Simplify 0 into 0 1545561395.651 * [misc]backup-simplify: Simplify 1 into 1 1545561395.652 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.652 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.652 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.652 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.652 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.653 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.653 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.654 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561395.654 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.655 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561395.655 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561395.656 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561395.658 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561395.658 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.658 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.659 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.659 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.659 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561395.661 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.663 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561395.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.664 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.665 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545561395.666 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.666 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545561395.667 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545561395.667 * [misc]backup-simplify: Simplify (- 0) into 0 1545561395.667 * [misc]backup-simplify: Simplify 0 into 0 1545561395.667 * [misc]backup-simplify: Simplify 0 into 0 1545561395.669 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561395.669 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545561395.670 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561395.670 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.670 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.670 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of k in n 1545561395.670 * [misc]backup-simplify: Simplify k into k 1545561395.670 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.670 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.670 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.670 * [misc]backup-simplify: Simplify PI into PI 1545561395.671 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.671 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.671 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.671 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.671 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561395.672 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561395.672 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.672 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of k in n 1545561395.672 * [misc]backup-simplify: Simplify k into k 1545561395.672 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.672 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561395.672 * [misc]taylor: Taking taylor expansion of 2 in n 1545561395.673 * [misc]backup-simplify: Simplify 2 into 2 1545561395.673 * [misc]taylor: Taking taylor expansion of n in n 1545561395.673 * [misc]backup-simplify: Simplify 0 into 0 1545561395.673 * [misc]backup-simplify: Simplify 1 into 1 1545561395.673 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561395.673 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561395.673 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.673 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561395.673 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561395.674 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561395.674 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561395.674 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561395.675 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561395.675 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561395.676 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561395.676 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561395.679 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545561395.679 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545561395.679 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545561395.679 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545561395.679 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561395.679 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.679 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.679 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.679 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.680 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.680 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.680 * [misc]taylor: Taking taylor expansion of k in n 1545561395.680 * [misc]backup-simplify: Simplify k into k 1545561395.680 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.680 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.680 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.680 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.680 * [misc]backup-simplify: Simplify -2 into -2 1545561395.680 * [misc]taylor: Taking taylor expansion of n in n 1545561395.680 * [misc]backup-simplify: Simplify 0 into 0 1545561395.680 * [misc]backup-simplify: Simplify 1 into 1 1545561395.680 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.680 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.680 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.681 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.681 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.682 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.682 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.682 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of k in n 1545561395.682 * [misc]backup-simplify: Simplify k into k 1545561395.682 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.682 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.682 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.682 * [misc]backup-simplify: Simplify PI into PI 1545561395.682 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.683 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.683 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.683 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561395.684 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.684 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561395.684 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561395.684 * [misc]taylor: Taking taylor expansion of -1 in n 1545561395.684 * [misc]backup-simplify: Simplify -1 into -1 1545561395.684 * [misc]taylor: Taking taylor expansion of k in n 1545561395.684 * [misc]backup-simplify: Simplify k into k 1545561395.684 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561395.684 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561395.684 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561395.684 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561395.685 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.685 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545561395.685 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545561395.685 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of k in k 1545561395.686 * [misc]backup-simplify: Simplify 0 into 0 1545561395.686 * [misc]backup-simplify: Simplify 1 into 1 1545561395.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.686 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561395.686 * [misc]taylor: Taking taylor expansion of -2 in k 1545561395.686 * [misc]backup-simplify: Simplify -2 into -2 1545561395.686 * [misc]taylor: Taking taylor expansion of n in k 1545561395.686 * [misc]backup-simplify: Simplify n into n 1545561395.686 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561395.686 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561395.687 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.687 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.687 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561395.687 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.687 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.687 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561395.687 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561395.687 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.687 * [misc]taylor: Taking taylor expansion of k in k 1545561395.687 * [misc]backup-simplify: Simplify 0 into 0 1545561395.687 * [misc]backup-simplify: Simplify 1 into 1 1545561395.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.688 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.688 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.688 * [misc]backup-simplify: Simplify PI into PI 1545561395.688 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.688 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.688 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.689 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.689 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.689 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561395.689 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561395.689 * [misc]taylor: Taking taylor expansion of -1 in k 1545561395.689 * [misc]backup-simplify: Simplify -1 into -1 1545561395.689 * [misc]taylor: Taking taylor expansion of k in k 1545561395.689 * [misc]backup-simplify: Simplify 0 into 0 1545561395.689 * [misc]backup-simplify: Simplify 1 into 1 1545561395.689 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561395.690 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.690 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561395.690 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.691 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561395.691 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of k in k 1545561395.691 * [misc]backup-simplify: Simplify 0 into 0 1545561395.691 * [misc]backup-simplify: Simplify 1 into 1 1545561395.691 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.691 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561395.691 * [misc]taylor: Taking taylor expansion of -2 in k 1545561395.691 * [misc]backup-simplify: Simplify -2 into -2 1545561395.692 * [misc]taylor: Taking taylor expansion of n in k 1545561395.692 * [misc]backup-simplify: Simplify n into n 1545561395.692 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561395.692 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561395.692 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.692 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.692 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561395.692 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.692 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561395.692 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561395.692 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561395.692 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561395.692 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561395.692 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.693 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561395.693 * [misc]taylor: Taking taylor expansion of k in k 1545561395.693 * [misc]backup-simplify: Simplify 0 into 0 1545561395.693 * [misc]backup-simplify: Simplify 1 into 1 1545561395.693 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561395.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561395.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.693 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561395.693 * [misc]taylor: Taking taylor expansion of PI in k 1545561395.693 * [misc]backup-simplify: Simplify PI into PI 1545561395.693 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.693 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561395.694 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561395.694 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561395.694 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.694 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561395.694 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561395.695 * [misc]taylor: Taking taylor expansion of -1 in k 1545561395.695 * [misc]backup-simplify: Simplify -1 into -1 1545561395.695 * [misc]taylor: Taking taylor expansion of k in k 1545561395.695 * [misc]backup-simplify: Simplify 0 into 0 1545561395.695 * [misc]backup-simplify: Simplify 1 into 1 1545561395.695 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561395.695 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561395.695 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561395.696 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.696 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561395.696 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.696 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.696 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.696 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.696 * [misc]taylor: Taking taylor expansion of k in n 1545561395.697 * [misc]backup-simplify: Simplify k into k 1545561395.697 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.697 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.697 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.697 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.697 * [misc]backup-simplify: Simplify -2 into -2 1545561395.697 * [misc]taylor: Taking taylor expansion of n in n 1545561395.697 * [misc]backup-simplify: Simplify 0 into 0 1545561395.697 * [misc]backup-simplify: Simplify 1 into 1 1545561395.697 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.697 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.697 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.697 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.698 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.698 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.698 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.698 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.698 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561395.699 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561395.699 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.699 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.699 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.699 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.699 * [misc]taylor: Taking taylor expansion of k in n 1545561395.699 * [misc]backup-simplify: Simplify k into k 1545561395.699 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.699 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.699 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.699 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.699 * [misc]backup-simplify: Simplify PI into PI 1545561395.699 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.699 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.699 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.700 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561395.700 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.701 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.701 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561395.701 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561395.702 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561395.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545561395.703 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561395.704 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561395.704 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.704 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.704 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.704 * [misc]taylor: Taking taylor expansion of k in n 1545561395.704 * [misc]backup-simplify: Simplify k into k 1545561395.705 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.705 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.705 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.705 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.705 * [misc]backup-simplify: Simplify -2 into -2 1545561395.705 * [misc]taylor: Taking taylor expansion of n in n 1545561395.705 * [misc]backup-simplify: Simplify 0 into 0 1545561395.705 * [misc]backup-simplify: Simplify 1 into 1 1545561395.705 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.705 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.705 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.705 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.706 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.706 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.706 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.706 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561395.706 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561395.707 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.707 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.707 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.707 * [misc]taylor: Taking taylor expansion of k in n 1545561395.707 * [misc]backup-simplify: Simplify k into k 1545561395.707 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.707 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.707 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.707 * [misc]backup-simplify: Simplify PI into PI 1545561395.707 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.707 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.707 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.708 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561395.708 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.709 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.709 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561395.710 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561395.710 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561395.713 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561395.713 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.714 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545561395.715 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561395.718 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561395.718 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561395.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561395.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561395.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.719 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561395.720 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561395.721 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561395.722 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561395.722 * [misc]backup-simplify: Simplify 0 into 0 1545561395.722 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561395.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561395.724 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561395.725 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561395.725 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561395.725 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561395.725 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.725 * [misc]taylor: Taking taylor expansion of k in n 1545561395.725 * [misc]backup-simplify: Simplify k into k 1545561395.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.726 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561395.726 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561395.726 * [misc]taylor: Taking taylor expansion of -2 in n 1545561395.726 * [misc]backup-simplify: Simplify -2 into -2 1545561395.726 * [misc]taylor: Taking taylor expansion of n in n 1545561395.726 * [misc]backup-simplify: Simplify 0 into 0 1545561395.726 * [misc]backup-simplify: Simplify 1 into 1 1545561395.726 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561395.726 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561395.726 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.726 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561395.727 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561395.727 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561395.727 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561395.727 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561395.727 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561395.728 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561395.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561395.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.728 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561395.728 * [misc]taylor: Taking taylor expansion of k in n 1545561395.728 * [misc]backup-simplify: Simplify k into k 1545561395.728 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561395.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561395.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561395.728 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561395.728 * [misc]taylor: Taking taylor expansion of PI in n 1545561395.728 * [misc]backup-simplify: Simplify PI into PI 1545561395.728 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561395.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561395.728 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561395.729 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561395.729 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561395.729 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561395.730 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561395.730 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561395.731 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561395.733 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561395.734 * * * [misc]progress: simplifying candidates 1545561395.734 * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # 1545561395.734 * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # 1545561395.734 * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # 1545561395.734 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545561395.734 * * [misc]simplify: iters left: 6 (9 enodes) 1545561395.738 * * [misc]simplify: iters left: 5 (16 enodes) 1545561395.744 * * [misc]simplify: iters left: 4 (32 enodes) 1545561395.756 * * [misc]simplify: iters left: 3 (72 enodes) 1545561395.798 * * [misc]simplify: iters left: 2 (195 enodes) 1545561395.891 * * [misc]simplify: iters left: 1 (418 enodes) 1545561396.139 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545561396.139 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561396.139 * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # 1545561396.139 * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # 1545561396.140 * [enter]simplify: Simplifying (* n 2) 1545561396.140 * * [misc]simplify: iters left: 2 (3 enodes) 1545561396.141 * * [misc]simplify: iters left: 1 (4 enodes) 1545561396.142 * [exit]simplify: Simplified to (* n 2) 1545561396.142 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1545561396.142 * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # 1545561396.142 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545561396.142 * * [misc]simplify: iters left: 3 (6 enodes) 1545561396.144 * * [misc]simplify: iters left: 2 (7 enodes) 1545561396.146 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545561396.146 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1545561396.146 * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # 1545561396.147 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561396.147 * * [misc]simplify: iters left: 5 (6 enodes) 1545561396.149 * * [misc]simplify: iters left: 4 (8 enodes) 1545561396.151 * * [misc]simplify: iters left: 3 (11 enodes) 1545561396.154 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561396.154 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1545561396.154 * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # 1545561396.155 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561396.155 * * [misc]simplify: iters left: 5 (6 enodes) 1545561396.156 * * [misc]simplify: iters left: 4 (8 enodes) 1545561396.159 * * [misc]simplify: iters left: 3 (11 enodes) 1545561396.162 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561396.162 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1545561396.162 * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # 1545561396.163 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561396.163 * * [misc]simplify: iters left: 4 (5 enodes) 1545561396.164 * * [misc]simplify: iters left: 3 (7 enodes) 1545561396.166 * * [misc]simplify: iters left: 2 (10 enodes) 1545561396.169 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561396.169 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.169 * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # 1545561396.170 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561396.170 * * [misc]simplify: iters left: 5 (7 enodes) 1545561396.172 * * [misc]simplify: iters left: 4 (10 enodes) 1545561396.175 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561396.175 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1545561396.175 * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # 1545561396.175 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561396.175 * * [misc]simplify: iters left: 5 (7 enodes) 1545561396.178 * * [misc]simplify: iters left: 4 (10 enodes) 1545561396.181 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561396.181 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1545561396.181 * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # 1545561396.181 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545561396.181 * * [misc]simplify: iters left: 5 (7 enodes) 1545561396.183 * * [misc]simplify: iters left: 4 (9 enodes) 1545561396.186 * * [misc]simplify: iters left: 3 (12 enodes) 1545561396.189 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561396.190 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545561396.190 * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # 1545561396.190 * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # 1545561396.191 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545561396.191 * * [misc]simplify: iters left: 3 (5 enodes) 1545561396.192 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545561396.192 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.192 * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # 1545561396.193 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561396.193 * * [misc]simplify: iters left: 5 (6 enodes) 1545561396.194 * * [misc]simplify: iters left: 4 (8 enodes) 1545561396.197 * * [misc]simplify: iters left: 3 (11 enodes) 1545561396.200 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561396.200 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.200 * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # 1545561396.200 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561396.201 * * [misc]simplify: iters left: 5 (6 enodes) 1545561396.202 * * [misc]simplify: iters left: 4 (8 enodes) 1545561396.205 * * [misc]simplify: iters left: 3 (11 enodes) 1545561396.208 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561396.208 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.208 * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # 1545561396.208 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561396.209 * * [misc]simplify: iters left: 4 (5 enodes) 1545561396.210 * * [misc]simplify: iters left: 3 (7 enodes) 1545561396.213 * * [misc]simplify: iters left: 2 (10 enodes) 1545561396.216 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561396.216 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.216 * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # 1545561396.217 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545561396.217 * * [misc]simplify: iters left: 5 (6 enodes) 1545561396.219 * * [misc]simplify: iters left: 4 (8 enodes) 1545561396.222 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545561396.222 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.222 * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # 1545561396.222 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545561396.222 * * [misc]simplify: iters left: 5 (6 enodes) 1545561396.224 * * [misc]simplify: iters left: 4 (8 enodes) 1545561396.227 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545561396.227 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561396.227 * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # 1545561396.227 * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # 1545561396.227 * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # 1545561396.227 * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # 1545561396.228 * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # 1545561396.228 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561396.228 * * [misc]simplify: iters left: 6 (12 enodes) 1545561396.233 * * [misc]simplify: iters left: 5 (22 enodes) 1545561396.241 * * [misc]simplify: iters left: 4 (40 enodes) 1545561396.260 * * [misc]simplify: iters left: 3 (104 enodes) 1545561396.299 * * [misc]simplify: iters left: 2 (334 enodes) 1545561396.441 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561396.441 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545561396.441 * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # 1545561396.441 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561396.441 * * [misc]simplify: iters left: 6 (12 enodes) 1545561396.444 * * [misc]simplify: iters left: 5 (22 enodes) 1545561396.448 * * [misc]simplify: iters left: 4 (40 enodes) 1545561396.462 * * [misc]simplify: iters left: 3 (104 enodes) 1545561396.530 * * [misc]simplify: iters left: 2 (334 enodes) 1545561396.730 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561396.730 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545561396.730 * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # 1545561396.730 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545561396.731 * * [misc]simplify: iters left: 6 (12 enodes) 1545561396.734 * * [misc]simplify: iters left: 5 (19 enodes) 1545561396.741 * * [misc]simplify: iters left: 4 (29 enodes) 1545561396.751 * * [misc]simplify: iters left: 3 (46 enodes) 1545561396.777 * * [misc]simplify: iters left: 2 (134 enodes) 1545561396.851 * * [misc]simplify: iters left: 1 (437 enodes) 1545561397.139 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561397.139 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545561397.139 * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # 1545561397.139 * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # 1545561397.139 * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # 1545561397.140 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545561397.140 * * [misc]simplify: iters left: 6 (14 enodes) 1545561397.144 * * [misc]simplify: iters left: 5 (26 enodes) 1545561397.148 * * [misc]simplify: iters left: 4 (57 enodes) 1545561397.159 * * [misc]simplify: iters left: 3 (112 enodes) 1545561397.186 * * [misc]simplify: iters left: 2 (189 enodes) 1545561397.278 * * [misc]simplify: iters left: 1 (316 enodes) 1545561397.424 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545561397.424 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561397.424 * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # 1545561397.424 * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # 1545561397.424 * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # 1545561397.424 * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # 1545561397.424 * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # 1545561397.425 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.425 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.428 * * [misc]simplify: iters left: 5 (14 enodes) 1545561397.432 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.432 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545561397.433 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561397.433 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.436 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.439 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561397.439 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545561397.439 * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # 1545561397.440 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545561397.440 * * [misc]simplify: iters left: 5 (9 enodes) 1545561397.442 * * [misc]simplify: iters left: 4 (11 enodes) 1545561397.445 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545561397.445 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545561397.445 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561397.446 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.448 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.452 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561397.452 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545561397.452 * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # 1545561397.453 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545561397.453 * * [misc]simplify: iters left: 5 (7 enodes) 1545561397.455 * * [misc]simplify: iters left: 4 (11 enodes) 1545561397.458 * * [misc]simplify: iters left: 3 (13 enodes) 1545561397.461 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561397.461 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561397.461 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561397.461 * * [misc]simplify: iters left: 6 (9 enodes) 1545561397.464 * * [misc]simplify: iters left: 5 (12 enodes) 1545561397.466 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561397.466 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561397.466 * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # 1545561397.466 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.466 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.468 * * [misc]simplify: iters left: 5 (14 enodes) 1545561397.470 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.470 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545561397.470 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561397.470 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.472 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.475 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561397.475 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545561397.475 * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # 1545561397.476 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545561397.476 * * [misc]simplify: iters left: 5 (9 enodes) 1545561397.477 * * [misc]simplify: iters left: 4 (11 enodes) 1545561397.479 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545561397.479 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545561397.479 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561397.479 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.480 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.483 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561397.483 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545561397.483 * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # 1545561397.483 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545561397.483 * * [misc]simplify: iters left: 5 (7 enodes) 1545561397.484 * * [misc]simplify: iters left: 4 (11 enodes) 1545561397.487 * * [misc]simplify: iters left: 3 (13 enodes) 1545561397.489 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561397.489 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561397.489 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561397.489 * * [misc]simplify: iters left: 6 (9 enodes) 1545561397.491 * * [misc]simplify: iters left: 5 (12 enodes) 1545561397.493 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561397.493 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561397.493 * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # 1545561397.493 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.493 * * [misc]simplify: iters left: 6 (11 enodes) 1545561397.495 * * [misc]simplify: iters left: 5 (15 enodes) 1545561397.497 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.500 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.500 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561397.500 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561397.500 * * [misc]simplify: iters left: 6 (9 enodes) 1545561397.502 * * [misc]simplify: iters left: 5 (11 enodes) 1545561397.503 * * [misc]simplify: iters left: 4 (14 enodes) 1545561397.506 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561397.506 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561397.506 * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # 1545561397.506 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561397.506 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.508 * * [misc]simplify: iters left: 5 (12 enodes) 1545561397.509 * * [misc]simplify: iters left: 4 (15 enodes) 1545561397.512 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561397.512 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561397.512 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561397.512 * * [misc]simplify: iters left: 6 (9 enodes) 1545561397.513 * * [misc]simplify: iters left: 5 (11 enodes) 1545561397.515 * * [misc]simplify: iters left: 4 (14 enodes) 1545561397.517 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561397.517 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561397.517 * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # 1545561397.517 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545561397.517 * * [misc]simplify: iters left: 6 (9 enodes) 1545561397.519 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.521 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.523 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561397.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1545561397.523 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561397.524 * * [misc]simplify: iters left: 6 (8 enodes) 1545561397.525 * * [misc]simplify: iters left: 5 (10 enodes) 1545561397.526 * * [misc]simplify: iters left: 4 (13 enodes) 1545561397.528 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561397.528 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1545561397.528 * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # 1545561397.528 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.529 * * [misc]simplify: iters left: 6 (14 enodes) 1545561397.531 * * [misc]simplify: iters left: 5 (23 enodes) 1545561397.535 * * [misc]simplify: iters left: 4 (35 enodes) 1545561397.540 * * [misc]simplify: iters left: 3 (38 enodes) 1545561397.545 * * [misc]simplify: iters left: 2 (41 enodes) 1545561397.551 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545561397.551 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561397.551 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561397.551 * * [misc]simplify: iters left: 6 (12 enodes) 1545561397.553 * * [misc]simplify: iters left: 5 (15 enodes) 1545561397.555 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.558 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561397.559 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561397.559 * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # 1545561397.559 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545561397.559 * * [misc]simplify: iters left: 6 (13 enodes) 1545561397.561 * * [misc]simplify: iters left: 5 (18 enodes) 1545561397.564 * * [misc]simplify: iters left: 4 (23 enodes) 1545561397.567 * * [misc]simplify: iters left: 3 (24 enodes) 1545561397.570 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561397.570 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561397.571 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561397.571 * * [misc]simplify: iters left: 6 (12 enodes) 1545561397.572 * * [misc]simplify: iters left: 5 (15 enodes) 1545561397.575 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.577 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561397.577 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561397.577 * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # 1545561397.577 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1545561397.578 * * [misc]simplify: iters left: 6 (12 enodes) 1545561397.579 * * [misc]simplify: iters left: 5 (19 enodes) 1545561397.583 * * [misc]simplify: iters left: 4 (28 enodes) 1545561397.587 * * [misc]simplify: iters left: 3 (42 enodes) 1545561397.593 * * [misc]simplify: iters left: 2 (68 enodes) 1545561397.602 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561397.602 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561397.602 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561397.602 * * [misc]simplify: iters left: 6 (11 enodes) 1545561397.604 * * [misc]simplify: iters left: 5 (14 enodes) 1545561397.606 * * [misc]simplify: iters left: 4 (17 enodes) 1545561397.608 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561397.608 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561397.609 * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # 1545561397.609 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.609 * * [misc]simplify: iters left: 6 (13 enodes) 1545561397.611 * * [misc]simplify: iters left: 5 (18 enodes) 1545561397.613 * * [misc]simplify: iters left: 4 (21 enodes) 1545561397.617 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.617 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561397.617 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561397.617 * * [misc]simplify: iters left: 6 (12 enodes) 1545561397.619 * * [misc]simplify: iters left: 5 (15 enodes) 1545561397.622 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.628 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561397.628 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561397.628 * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # 1545561397.628 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561397.628 * * [misc]simplify: iters left: 6 (12 enodes) 1545561397.632 * * [misc]simplify: iters left: 5 (15 enodes) 1545561397.637 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.642 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561397.642 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561397.642 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561397.643 * * [misc]simplify: iters left: 6 (12 enodes) 1545561397.647 * * [misc]simplify: iters left: 5 (15 enodes) 1545561397.655 * * [misc]simplify: iters left: 4 (18 enodes) 1545561397.661 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561397.661 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561397.661 * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # 1545561397.661 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1545561397.661 * * [misc]simplify: iters left: 6 (11 enodes) 1545561397.665 * * [misc]simplify: iters left: 5 (16 enodes) 1545561397.670 * * [misc]simplify: iters left: 4 (21 enodes) 1545561397.675 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561397.675 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561397.676 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561397.676 * * [misc]simplify: iters left: 6 (11 enodes) 1545561397.679 * * [misc]simplify: iters left: 5 (14 enodes) 1545561397.683 * * [misc]simplify: iters left: 4 (17 enodes) 1545561397.689 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561397.689 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561397.689 * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # 1545561397.689 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561397.689 * * [misc]simplify: iters left: 6 (6 enodes) 1545561397.691 * * [misc]simplify: iters left: 5 (10 enodes) 1545561397.694 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545561397.694 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561397.694 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561397.695 * * [misc]simplify: iters left: 6 (11 enodes) 1545561397.698 * * [misc]simplify: iters left: 5 (14 enodes) 1545561397.702 * * [misc]simplify: iters left: 4 (17 enodes) 1545561397.707 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561397.707 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561397.707 * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # 1545561397.707 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545561397.707 * * [misc]simplify: iters left: 4 (5 enodes) 1545561397.709 * * [misc]simplify: iters left: 3 (7 enodes) 1545561397.711 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545561397.711 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561397.711 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561397.711 * * [misc]simplify: iters left: 6 (11 enodes) 1545561397.715 * * [misc]simplify: iters left: 5 (14 enodes) 1545561397.719 * * [misc]simplify: iters left: 4 (17 enodes) 1545561397.724 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561397.724 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561397.724 * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # 1545561397.724 * [enter]simplify: Simplifying (/ 1 1) 1545561397.724 * * [misc]simplify: iters left: 2 (2 enodes) 1545561397.725 * * [misc]simplify: iters left: 1 (4 enodes) 1545561397.726 * [exit]simplify: Simplified to 1 1545561397.726 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561397.726 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561397.726 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.729 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.733 * * [misc]simplify: iters left: 4 (16 enodes) 1545561397.738 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561397.738 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561397.738 * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # 1545561397.738 * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # 1545561397.738 * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # 1545561397.738 * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # 1545561397.739 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545561397.739 * * [misc]simplify: iters left: 2 (3 enodes) 1545561397.740 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545561397.740 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1545561397.740 * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # 1545561397.740 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545561397.740 * * [misc]simplify: iters left: 2 (3 enodes) 1545561397.741 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545561397.741 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1545561397.741 * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # 1545561397.741 * [enter]simplify: Simplifying (sqrt k) 1545561397.741 * * [misc]simplify: iters left: 1 (2 enodes) 1545561397.742 * [exit]simplify: Simplified to (sqrt k) 1545561397.742 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1545561397.742 * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # 1545561397.742 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545561397.742 * * [misc]simplify: iters left: 3 (5 enodes) 1545561397.744 * * [misc]simplify: iters left: 2 (7 enodes) 1545561397.746 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561397.746 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545561397.746 * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # 1545561397.746 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545561397.746 * * [misc]simplify: iters left: 3 (5 enodes) 1545561397.748 * * [misc]simplify: iters left: 2 (7 enodes) 1545561397.750 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561397.750 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545561397.750 * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # 1545561397.750 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545561397.750 * * [misc]simplify: iters left: 5 (7 enodes) 1545561397.752 * * [misc]simplify: iters left: 4 (9 enodes) 1545561397.755 * * [misc]simplify: iters left: 3 (12 enodes) 1545561397.758 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561397.759 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545561397.759 * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # 1545561397.759 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561397.759 * * [misc]simplify: iters left: 6 (10 enodes) 1545561397.762 * * [misc]simplify: iters left: 5 (13 enodes) 1545561397.765 * * [misc]simplify: iters left: 4 (16 enodes) 1545561397.767 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561397.767 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561397.767 * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # 1545561397.767 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561397.767 * * [misc]simplify: iters left: 6 (9 enodes) 1545561397.769 * * [misc]simplify: iters left: 5 (12 enodes) 1545561397.770 * * [misc]simplify: iters left: 4 (15 enodes) 1545561397.772 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561397.773 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561397.773 * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # 1545561397.773 * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # 1545561397.773 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545561397.773 * * [misc]simplify: iters left: 3 (5 enodes) 1545561397.774 * * [misc]simplify: iters left: 2 (7 enodes) 1545561397.774 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561397.775 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1545561397.775 * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # 1545561397.775 * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # 1545561397.775 * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # 1545561397.775 * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # 1545561397.775 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545561397.775 * * [misc]simplify: iters left: 6 (16 enodes) 1545561397.778 * * [misc]simplify: iters left: 5 (31 enodes) 1545561397.784 * * [misc]simplify: iters left: 4 (66 enodes) 1545561397.802 * * [misc]simplify: iters left: 3 (212 enodes) 1545561397.935 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561397.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561397.935 * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # 1545561397.935 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545561397.935 * * [misc]simplify: iters left: 6 (16 enodes) 1545561397.939 * * [misc]simplify: iters left: 5 (31 enodes) 1545561397.944 * * [misc]simplify: iters left: 4 (66 enodes) 1545561397.962 * * [misc]simplify: iters left: 3 (212 enodes) 1545561398.051 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561398.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561398.051 * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # 1545561398.051 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545561398.051 * * [misc]simplify: iters left: 6 (16 enodes) 1545561398.054 * * [misc]simplify: iters left: 5 (28 enodes) 1545561398.059 * * [misc]simplify: iters left: 4 (55 enodes) 1545561398.075 * * [misc]simplify: iters left: 3 (129 enodes) 1545561398.151 * * [misc]simplify: iters left: 2 (441 enodes) 1545561398.657 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545561398.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545561398.657 * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # 1545561398.658 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561398.658 * * [misc]simplify: iters left: 6 (15 enodes) 1545561398.663 * * [misc]simplify: iters left: 5 (24 enodes) 1545561398.670 * * [misc]simplify: iters left: 4 (42 enodes) 1545561398.691 * * [misc]simplify: iters left: 3 (90 enodes) 1545561398.725 * * [misc]simplify: iters left: 2 (207 enodes) 1545561398.902 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561398.903 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561398.903 * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # 1545561398.903 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545561398.903 * * [misc]simplify: iters left: 6 (16 enodes) 1545561398.909 * * [misc]simplify: iters left: 5 (31 enodes) 1545561398.921 * * [misc]simplify: iters left: 4 (60 enodes) 1545561398.953 * * [misc]simplify: iters left: 3 (180 enodes) 1545561399.065 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545561399.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545561399.066 * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # 1545561399.066 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545561399.066 * * [misc]simplify: iters left: 6 (16 enodes) 1545561399.072 * * [misc]simplify: iters left: 5 (31 enodes) 1545561399.083 * * [misc]simplify: iters left: 4 (60 enodes) 1545561399.108 * * [misc]simplify: iters left: 3 (180 enodes) 1545561399.228 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545561399.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545561399.228 * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # 1545561399.229 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545561399.229 * * [misc]simplify: iters left: 6 (16 enodes) 1545561399.237 * * [misc]simplify: iters left: 5 (28 enodes) 1545561399.243 * * [misc]simplify: iters left: 4 (49 enodes) 1545561399.252 * * [misc]simplify: iters left: 3 (97 enodes) 1545561399.283 * * [misc]simplify: iters left: 2 (353 enodes) 1545561399.593 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1545561399.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1545561399.594 * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # 1545561399.594 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561399.594 * * [misc]simplify: iters left: 6 (15 enodes) 1545561399.598 * * [misc]simplify: iters left: 5 (24 enodes) 1545561399.609 * * [misc]simplify: iters left: 4 (37 enodes) 1545561399.620 * * [misc]simplify: iters left: 3 (66 enodes) 1545561399.649 * * [misc]simplify: iters left: 2 (180 enodes) 1545561399.760 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))) 1545561399.760 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))))) 1545561399.760 * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # 1545561399.760 * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # 1545561399.760 * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # 1545561399.760 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1545561399.761 * * [misc]simplify: iters left: 6 (19 enodes) 1545561399.764 * * [misc]simplify: iters left: 5 (37 enodes) 1545561399.771 * * [misc]simplify: iters left: 4 (114 enodes) 1545561399.806 * * [misc]simplify: iters left: 3 (443 enodes) 1545561400.271 * [exit]simplify: Simplified to (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545561400.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545561400.271 * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # 1545561400.271 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561400.271 * * [misc]simplify: iters left: 6 (17 enodes) 1545561400.277 * * [misc]simplify: iters left: 5 (33 enodes) 1545561400.289 * * [misc]simplify: iters left: 4 (87 enodes) 1545561400.324 * * [misc]simplify: iters left: 3 (222 enodes) 1545561400.412 * [exit]simplify: Simplified to (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545561400.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545561400.413 * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # 1545561400.413 * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # 1545561400.413 * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # 1545561400.413 * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # 1545561400.413 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545561400.413 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.417 * * [misc]simplify: iters left: 5 (16 enodes) 1545561400.421 * * [misc]simplify: iters left: 4 (19 enodes) 1545561400.426 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545561400.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545561400.427 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1545561400.427 * * [misc]simplify: iters left: 5 (7 enodes) 1545561400.429 * * [misc]simplify: iters left: 4 (8 enodes) 1545561400.431 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1545561400.431 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545561400.431 * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # 1545561400.431 * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # 1545561400.432 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561400.432 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.435 * * [misc]simplify: iters left: 5 (14 enodes) 1545561400.439 * * [misc]simplify: iters left: 4 (17 enodes) 1545561400.444 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561400.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561400.445 * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # 1545561400.445 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561400.445 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.448 * * [misc]simplify: iters left: 5 (14 enodes) 1545561400.452 * * [misc]simplify: iters left: 4 (17 enodes) 1545561400.457 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561400.457 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561400.457 * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # 1545561400.458 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561400.458 * * [misc]simplify: iters left: 6 (10 enodes) 1545561400.461 * * [misc]simplify: iters left: 5 (13 enodes) 1545561400.464 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561400.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545561400.464 * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # 1545561400.465 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561400.465 * * [misc]simplify: iters left: 6 (10 enodes) 1545561400.467 * * [misc]simplify: iters left: 5 (13 enodes) 1545561400.471 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561400.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545561400.471 * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # 1545561400.471 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561400.472 * * [misc]simplify: iters left: 6 (9 enodes) 1545561400.474 * * [misc]simplify: iters left: 5 (12 enodes) 1545561400.478 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561400.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545561400.478 * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # 1545561400.478 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561400.479 * * [misc]simplify: iters left: 6 (10 enodes) 1545561400.482 * * [misc]simplify: iters left: 5 (13 enodes) 1545561400.486 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561400.486 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545561400.486 * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # 1545561400.486 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561400.486 * * [misc]simplify: iters left: 6 (10 enodes) 1545561400.490 * * [misc]simplify: iters left: 5 (13 enodes) 1545561400.494 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561400.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545561400.494 * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # 1545561400.494 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561400.494 * * [misc]simplify: iters left: 6 (9 enodes) 1545561400.497 * * [misc]simplify: iters left: 5 (12 enodes) 1545561400.501 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561400.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545561400.501 * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # 1545561400.501 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561400.501 * * [misc]simplify: iters left: 6 (9 enodes) 1545561400.504 * * [misc]simplify: iters left: 5 (11 enodes) 1545561400.507 * * [misc]simplify: iters left: 4 (14 enodes) 1545561400.511 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561400.511 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561400.511 * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # 1545561400.512 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561400.512 * * [misc]simplify: iters left: 6 (9 enodes) 1545561400.514 * * [misc]simplify: iters left: 5 (11 enodes) 1545561400.518 * * [misc]simplify: iters left: 4 (14 enodes) 1545561400.522 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561400.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561400.522 * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # 1545561400.522 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561400.522 * * [misc]simplify: iters left: 6 (8 enodes) 1545561400.526 * * [misc]simplify: iters left: 5 (10 enodes) 1545561400.529 * * [misc]simplify: iters left: 4 (13 enodes) 1545561400.533 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561400.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1545561400.533 * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # 1545561400.534 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561400.534 * * [misc]simplify: iters left: 6 (12 enodes) 1545561400.537 * * [misc]simplify: iters left: 5 (15 enodes) 1545561400.542 * * [misc]simplify: iters left: 4 (18 enodes) 1545561400.547 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561400.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561400.547 * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # 1545561400.548 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561400.548 * * [misc]simplify: iters left: 6 (12 enodes) 1545561400.551 * * [misc]simplify: iters left: 5 (15 enodes) 1545561400.556 * * [misc]simplify: iters left: 4 (18 enodes) 1545561400.561 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561400.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561400.561 * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # 1545561400.561 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561400.561 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.565 * * [misc]simplify: iters left: 5 (14 enodes) 1545561400.569 * * [misc]simplify: iters left: 4 (17 enodes) 1545561400.574 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561400.574 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561400.574 * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # 1545561400.574 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561400.574 * * [misc]simplify: iters left: 6 (12 enodes) 1545561400.578 * * [misc]simplify: iters left: 5 (15 enodes) 1545561400.582 * * [misc]simplify: iters left: 4 (18 enodes) 1545561400.587 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561400.587 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561400.587 * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # 1545561400.588 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561400.588 * * [misc]simplify: iters left: 6 (12 enodes) 1545561400.591 * * [misc]simplify: iters left: 5 (15 enodes) 1545561400.596 * * [misc]simplify: iters left: 4 (18 enodes) 1545561400.601 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561400.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561400.601 * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # 1545561400.602 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561400.602 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.605 * * [misc]simplify: iters left: 5 (14 enodes) 1545561400.609 * * [misc]simplify: iters left: 4 (17 enodes) 1545561400.614 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561400.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561400.614 * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # 1545561400.614 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561400.615 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.618 * * [misc]simplify: iters left: 5 (14 enodes) 1545561400.622 * * [misc]simplify: iters left: 4 (17 enodes) 1545561400.627 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561400.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561400.627 * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # 1545561400.627 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561400.627 * * [misc]simplify: iters left: 6 (11 enodes) 1545561400.630 * * [misc]simplify: iters left: 5 (14 enodes) 1545561400.634 * * [misc]simplify: iters left: 4 (17 enodes) 1545561400.639 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561400.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561400.639 * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # 1545561400.640 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561400.640 * * [misc]simplify: iters left: 6 (10 enodes) 1545561400.643 * * [misc]simplify: iters left: 5 (13 enodes) 1545561400.645 * * [misc]simplify: iters left: 4 (16 enodes) 1545561400.647 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561400.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561400.647 * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # 1545561400.648 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561400.648 * * [misc]simplify: iters left: 6 (10 enodes) 1545561400.649 * * [misc]simplify: iters left: 5 (13 enodes) 1545561400.651 * * [misc]simplify: iters left: 4 (16 enodes) 1545561400.653 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561400.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561400.653 * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # 1545561400.654 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545561400.654 * * [misc]simplify: iters left: 3 (4 enodes) 1545561400.654 * * [misc]simplify: iters left: 2 (6 enodes) 1545561400.655 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545561400.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1545561400.655 * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # 1545561400.655 * [enter]simplify: Simplifying (pow PI 1/2) 1545561400.655 * * [misc]simplify: iters left: 1 (3 enodes) 1545561400.656 * [exit]simplify: Simplified to (sqrt PI) 1545561400.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561400.656 * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # 1545561400.656 * [enter]simplify: Simplifying (pow PI 1/2) 1545561400.656 * * [misc]simplify: iters left: 1 (3 enodes) 1545561400.656 * [exit]simplify: Simplified to (sqrt PI) 1545561400.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561400.656 * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # 1545561400.657 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545561400.657 * * [misc]simplify: iters left: 6 (9 enodes) 1545561400.658 * * [misc]simplify: iters left: 5 (11 enodes) 1545561400.660 * * [misc]simplify: iters left: 4 (14 enodes) 1545561400.662 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545561400.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561400.662 * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # 1545561400.663 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545561400.663 * * [misc]simplify: iters left: 6 (8 enodes) 1545561400.664 * * [misc]simplify: iters left: 5 (10 enodes) 1545561400.665 * * [misc]simplify: iters left: 4 (13 enodes) 1545561400.667 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545561400.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561400.667 * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # 1545561400.667 * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # 1545561400.667 * [enter]simplify: Simplifying (sqrt k) 1545561400.668 * * [misc]simplify: iters left: 1 (2 enodes) 1545561400.668 * [exit]simplify: Simplified to (sqrt k) 1545561400.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561400.668 * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # 1545561400.668 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561400.668 * * [misc]simplify: iters left: 6 (13 enodes) 1545561400.670 * * [misc]simplify: iters left: 5 (20 enodes) 1545561400.673 * * [misc]simplify: iters left: 4 (27 enodes) 1545561400.677 * * [misc]simplify: iters left: 3 (29 enodes) 1545561400.681 * * [misc]simplify: iters left: 2 (31 enodes) 1545561400.685 * * [misc]simplify: iters left: 1 (32 enodes) 1545561400.689 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545561400.689 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1545561400.689 * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # 1545561400.689 * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # 1545561400.689 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545561400.690 * * [misc]simplify: iters left: 6 (35 enodes) 1545561400.698 * * [misc]simplify: iters left: 5 (102 enodes) 1545561400.728 * * [misc]simplify: iters left: 4 (321 enodes) 1545561400.925 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545561400.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) (sqrt k)))) 1545561400.926 * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # 1545561400.926 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545561400.926 * * [misc]simplify: iters left: 6 (13 enodes) 1545561400.932 * * [misc]simplify: iters left: 5 (27 enodes) 1545561400.941 * * [misc]simplify: iters left: 4 (53 enodes) 1545561400.961 * * [misc]simplify: iters left: 3 (124 enodes) 1545561401.037 * * [misc]simplify: iters left: 2 (394 enodes) 1545561401.510 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545561401.510 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) 1545561401.511 * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # 1545561401.511 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545561401.511 * * [misc]simplify: iters left: 6 (13 enodes) 1545561401.514 * * [misc]simplify: iters left: 5 (24 enodes) 1545561401.519 * * [misc]simplify: iters left: 4 (54 enodes) 1545561401.530 * * [misc]simplify: iters left: 3 (151 enodes) 1545561401.603 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545561401.603 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k)))) 1545561401.603 * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # 1545561401.604 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545561401.604 * * [misc]simplify: iters left: 6 (18 enodes) 1545561401.607 * * [misc]simplify: iters left: 5 (39 enodes) 1545561401.615 * * [misc]simplify: iters left: 4 (110 enodes) 1545561401.668 * * [misc]simplify: iters left: 3 (321 enodes) 1545561401.860 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1545561401.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561401.860 * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # 1545561401.861 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545561401.861 * * [misc]simplify: iters left: 5 (6 enodes) 1545561401.863 * * [misc]simplify: iters left: 4 (9 enodes) 1545561401.867 * * [misc]simplify: iters left: 3 (17 enodes) 1545561401.871 * * [misc]simplify: iters left: 2 (24 enodes) 1545561401.877 * * [misc]simplify: iters left: 1 (28 enodes) 1545561401.890 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545561401.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561401.890 * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # 1545561401.891 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545561401.891 * * [misc]simplify: iters left: 5 (6 enodes) 1545561401.893 * * [misc]simplify: iters left: 4 (9 enodes) 1545561401.896 * * [misc]simplify: iters left: 3 (17 enodes) 1545561401.901 * * [misc]simplify: iters left: 2 (24 enodes) 1545561401.907 * * [misc]simplify: iters left: 1 (28 enodes) 1545561401.920 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545561401.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561401.920 * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # 1545561401.920 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545561401.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545561401.920 * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # 1545561401.921 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561401.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545561401.921 * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # 1545561401.921 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545561401.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545561401.921 * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # 1545561401.921 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545561401.921 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561401.921 * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # 1545561401.922 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545561401.922 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561401.922 * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # 1545561401.922 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561401.922 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561401.922 * * * [misc]progress: adding candidates to table 1545561404.025 * * [misc]progress: iteration 3 / 4 1545561404.025 * * * [misc]progress: picking best candidate 1545561404.061 * * * * [misc]pick: Picked # 1545561404.061 * * * [misc]progress: localizing error 1545561404.075 * * * [misc]progress: generating rewritten candidates 1545561404.075 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545561404.076 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1545561404.081 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545561404.092 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1545561404.098 * * * [misc]progress: generating series expansions 1545561404.098 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545561404.098 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545561404.098 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545561404.098 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.098 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.098 * [misc]taylor: Taking taylor expansion of k in k 1545561404.098 * [misc]backup-simplify: Simplify 0 into 0 1545561404.098 * [misc]backup-simplify: Simplify 1 into 1 1545561404.098 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561404.098 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.098 * [misc]backup-simplify: Simplify 2 into 2 1545561404.098 * [misc]taylor: Taking taylor expansion of n in k 1545561404.098 * [misc]backup-simplify: Simplify n into n 1545561404.098 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561404.099 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561404.099 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.099 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.099 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.099 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561404.099 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561404.099 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.099 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.099 * [misc]taylor: Taking taylor expansion of k in n 1545561404.099 * [misc]backup-simplify: Simplify k into k 1545561404.099 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.099 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.099 * [misc]backup-simplify: Simplify 2 into 2 1545561404.099 * [misc]taylor: Taking taylor expansion of n in n 1545561404.099 * [misc]backup-simplify: Simplify 0 into 0 1545561404.099 * [misc]backup-simplify: Simplify 1 into 1 1545561404.100 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.100 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.100 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.100 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561404.100 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561404.100 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561404.100 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.100 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561404.101 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561404.101 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.101 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.101 * [misc]taylor: Taking taylor expansion of k in n 1545561404.101 * [misc]backup-simplify: Simplify k into k 1545561404.101 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.101 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.101 * [misc]backup-simplify: Simplify 2 into 2 1545561404.101 * [misc]taylor: Taking taylor expansion of n in n 1545561404.101 * [misc]backup-simplify: Simplify 0 into 0 1545561404.101 * [misc]backup-simplify: Simplify 1 into 1 1545561404.101 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.101 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.101 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.101 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561404.101 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561404.101 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561404.102 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.102 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561404.102 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561404.102 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.102 * [misc]backup-simplify: Simplify 2 into 2 1545561404.102 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.102 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of n in k 1545561404.102 * [misc]backup-simplify: Simplify n into n 1545561404.102 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561404.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.102 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.102 * [misc]taylor: Taking taylor expansion of k in k 1545561404.102 * [misc]backup-simplify: Simplify 0 into 0 1545561404.102 * [misc]backup-simplify: Simplify 1 into 1 1545561404.103 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545561404.103 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.103 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.103 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.103 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545561404.103 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561404.103 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561404.104 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.105 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.105 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561404.105 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.105 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.106 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.106 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561404.107 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.107 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.107 * [misc]backup-simplify: Simplify 0 into 0 1545561404.107 * [misc]backup-simplify: Simplify 0 into 0 1545561404.107 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561404.107 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.107 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.110 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.110 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561404.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.111 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545561404.112 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561404.113 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561404.113 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561404.118 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561404.118 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561404.118 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.119 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.119 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545561404.122 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561404.122 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.122 * [misc]backup-simplify: Simplify 0 into 0 1545561404.122 * [misc]backup-simplify: Simplify 0 into 0 1545561404.122 * [misc]backup-simplify: Simplify 0 into 0 1545561404.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.123 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.127 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561404.129 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561404.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.129 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545561404.131 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561404.138 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561404.140 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545561404.140 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.140 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545561404.140 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561404.140 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561404.140 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561404.140 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.140 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.140 * [misc]taylor: Taking taylor expansion of k in k 1545561404.141 * [misc]backup-simplify: Simplify 0 into 0 1545561404.141 * [misc]backup-simplify: Simplify 1 into 1 1545561404.141 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.141 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561404.141 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561404.141 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.141 * [misc]backup-simplify: Simplify 2 into 2 1545561404.141 * [misc]taylor: Taking taylor expansion of n in k 1545561404.141 * [misc]backup-simplify: Simplify n into n 1545561404.141 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561404.141 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561404.141 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.141 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.141 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.141 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561404.141 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.141 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.141 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.141 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.141 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.141 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.142 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.142 * [misc]taylor: Taking taylor expansion of k in n 1545561404.142 * [misc]backup-simplify: Simplify k into k 1545561404.142 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.142 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.142 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.142 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.142 * [misc]backup-simplify: Simplify 2 into 2 1545561404.142 * [misc]taylor: Taking taylor expansion of n in n 1545561404.142 * [misc]backup-simplify: Simplify 0 into 0 1545561404.142 * [misc]backup-simplify: Simplify 1 into 1 1545561404.142 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.142 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.142 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.142 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.142 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.142 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.143 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.143 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.143 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.143 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.143 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of k in n 1545561404.143 * [misc]backup-simplify: Simplify k into k 1545561404.143 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.143 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.143 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.143 * [misc]backup-simplify: Simplify 2 into 2 1545561404.143 * [misc]taylor: Taking taylor expansion of n in n 1545561404.143 * [misc]backup-simplify: Simplify 0 into 0 1545561404.143 * [misc]backup-simplify: Simplify 1 into 1 1545561404.143 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.143 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.143 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.143 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.143 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.144 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.144 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.144 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.144 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545561404.144 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545561404.144 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.144 * [misc]taylor: Taking taylor expansion of k in k 1545561404.144 * [misc]backup-simplify: Simplify 0 into 0 1545561404.144 * [misc]backup-simplify: Simplify 1 into 1 1545561404.145 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.145 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545561404.145 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561404.145 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.145 * [misc]backup-simplify: Simplify 2 into 2 1545561404.145 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.145 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561404.145 * [misc]taylor: Taking taylor expansion of n in k 1545561404.145 * [misc]backup-simplify: Simplify n into n 1545561404.145 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561404.145 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.145 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.145 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.145 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561404.145 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545561404.145 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545561404.146 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.146 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.146 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561404.148 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.148 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.148 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.148 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.148 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.149 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.149 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561404.150 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.150 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.150 * [misc]backup-simplify: Simplify 0 into 0 1545561404.150 * [misc]backup-simplify: Simplify 0 into 0 1545561404.150 * [misc]backup-simplify: Simplify 0 into 0 1545561404.150 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.153 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561404.153 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.153 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561404.154 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.154 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.154 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545561404.156 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561404.156 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.156 * [misc]backup-simplify: Simplify 0 into 0 1545561404.156 * [misc]backup-simplify: Simplify 0 into 0 1545561404.156 * [misc]backup-simplify: Simplify 0 into 0 1545561404.156 * [misc]backup-simplify: Simplify 0 into 0 1545561404.156 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.160 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561404.160 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.161 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561404.161 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.161 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.162 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545561404.164 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561404.164 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.164 * [misc]backup-simplify: Simplify 0 into 0 1545561404.164 * [misc]backup-simplify: Simplify 0 into 0 1545561404.164 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545561404.164 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.164 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545561404.164 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561404.164 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561404.164 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561404.164 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.164 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.164 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.164 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.164 * [misc]taylor: Taking taylor expansion of k in k 1545561404.164 * [misc]backup-simplify: Simplify 0 into 0 1545561404.164 * [misc]backup-simplify: Simplify 1 into 1 1545561404.164 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.164 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.165 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561404.165 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561404.165 * [misc]taylor: Taking taylor expansion of -2 in k 1545561404.165 * [misc]backup-simplify: Simplify -2 into -2 1545561404.165 * [misc]taylor: Taking taylor expansion of n in k 1545561404.165 * [misc]backup-simplify: Simplify n into n 1545561404.165 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561404.165 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561404.165 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.165 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.165 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561404.165 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.165 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of k in n 1545561404.165 * [misc]backup-simplify: Simplify k into k 1545561404.165 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.165 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.165 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.165 * [misc]backup-simplify: Simplify -2 into -2 1545561404.165 * [misc]taylor: Taking taylor expansion of n in n 1545561404.165 * [misc]backup-simplify: Simplify 0 into 0 1545561404.165 * [misc]backup-simplify: Simplify 1 into 1 1545561404.166 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.166 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.166 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.166 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.166 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.166 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.166 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of k in n 1545561404.167 * [misc]backup-simplify: Simplify k into k 1545561404.167 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.167 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.167 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.167 * [misc]backup-simplify: Simplify -2 into -2 1545561404.167 * [misc]taylor: Taking taylor expansion of n in n 1545561404.167 * [misc]backup-simplify: Simplify 0 into 0 1545561404.167 * [misc]backup-simplify: Simplify 1 into 1 1545561404.167 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.167 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.167 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.167 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.167 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.168 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.168 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.168 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.168 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of k in k 1545561404.168 * [misc]backup-simplify: Simplify 0 into 0 1545561404.168 * [misc]backup-simplify: Simplify 1 into 1 1545561404.168 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.168 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of -2 in k 1545561404.168 * [misc]backup-simplify: Simplify -2 into -2 1545561404.168 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.168 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561404.168 * [misc]taylor: Taking taylor expansion of n in k 1545561404.168 * [misc]backup-simplify: Simplify n into n 1545561404.168 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561404.169 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.169 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.169 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561404.169 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545561404.169 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545561404.169 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.169 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.170 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561404.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561404.172 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.172 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.172 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.172 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.172 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561404.173 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.173 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.173 * [misc]backup-simplify: Simplify 0 into 0 1545561404.173 * [misc]backup-simplify: Simplify 0 into 0 1545561404.173 * [misc]backup-simplify: Simplify 0 into 0 1545561404.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.176 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545561404.176 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561404.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.177 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.177 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545561404.178 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561404.178 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.178 * [misc]backup-simplify: Simplify 0 into 0 1545561404.178 * [misc]backup-simplify: Simplify 0 into 0 1545561404.178 * [misc]backup-simplify: Simplify 0 into 0 1545561404.179 * [misc]backup-simplify: Simplify 0 into 0 1545561404.179 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.183 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545561404.183 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561404.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.184 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.185 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545561404.188 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561404.188 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.188 * [misc]backup-simplify: Simplify 0 into 0 1545561404.188 * [misc]backup-simplify: Simplify 0 into 0 1545561404.189 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545561404.189 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1545561404.189 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1545561404.189 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1545561404.189 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545561404.189 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561404.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561404.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561404.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.189 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.190 * [misc]taylor: Taking taylor expansion of k in k 1545561404.190 * [misc]backup-simplify: Simplify 0 into 0 1545561404.190 * [misc]backup-simplify: Simplify 1 into 1 1545561404.190 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561404.190 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561404.190 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.190 * [misc]backup-simplify: Simplify 2 into 2 1545561404.190 * [misc]taylor: Taking taylor expansion of n in k 1545561404.190 * [misc]backup-simplify: Simplify n into n 1545561404.190 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561404.190 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561404.190 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.190 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.190 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.191 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561404.191 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561404.191 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561404.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.191 * [misc]taylor: Taking taylor expansion of k in k 1545561404.191 * [misc]backup-simplify: Simplify 0 into 0 1545561404.191 * [misc]backup-simplify: Simplify 1 into 1 1545561404.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.191 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.192 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.192 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.192 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.192 * [misc]taylor: Taking taylor expansion of k in n 1545561404.192 * [misc]backup-simplify: Simplify k into k 1545561404.192 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.192 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.192 * [misc]backup-simplify: Simplify 2 into 2 1545561404.193 * [misc]taylor: Taking taylor expansion of n in n 1545561404.193 * [misc]backup-simplify: Simplify 0 into 0 1545561404.193 * [misc]backup-simplify: Simplify 1 into 1 1545561404.193 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.193 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.193 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.193 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561404.193 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561404.193 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561404.194 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.194 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561404.194 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561404.194 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561404.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of k in n 1545561404.195 * [misc]backup-simplify: Simplify k into k 1545561404.195 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.195 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561404.195 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.195 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561404.195 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.195 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.195 * [misc]taylor: Taking taylor expansion of k in n 1545561404.195 * [misc]backup-simplify: Simplify k into k 1545561404.195 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.195 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.195 * [misc]backup-simplify: Simplify 2 into 2 1545561404.195 * [misc]taylor: Taking taylor expansion of n in n 1545561404.195 * [misc]backup-simplify: Simplify 0 into 0 1545561404.196 * [misc]backup-simplify: Simplify 1 into 1 1545561404.196 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.196 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.196 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.196 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561404.196 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561404.196 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561404.197 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.197 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561404.197 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561404.197 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561404.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.197 * [misc]taylor: Taking taylor expansion of k in n 1545561404.197 * [misc]backup-simplify: Simplify k into k 1545561404.197 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.198 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561404.198 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.198 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561404.198 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545561404.198 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561404.198 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545561404.198 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545561404.198 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545561404.198 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561404.198 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.199 * [misc]backup-simplify: Simplify 2 into 2 1545561404.199 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.199 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561404.199 * [misc]taylor: Taking taylor expansion of n in k 1545561404.199 * [misc]backup-simplify: Simplify n into n 1545561404.199 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561404.199 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.199 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.199 * [misc]taylor: Taking taylor expansion of k in k 1545561404.199 * [misc]backup-simplify: Simplify 0 into 0 1545561404.199 * [misc]backup-simplify: Simplify 1 into 1 1545561404.199 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545561404.200 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.200 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.200 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.200 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545561404.200 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561404.200 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561404.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.200 * [misc]taylor: Taking taylor expansion of k in k 1545561404.200 * [misc]backup-simplify: Simplify 0 into 0 1545561404.201 * [misc]backup-simplify: Simplify 1 into 1 1545561404.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.201 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.201 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.202 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1545561404.202 * [misc]backup-simplify: Simplify 0 into 0 1545561404.202 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.204 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.205 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561404.205 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.205 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.205 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.206 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561404.207 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.208 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545561404.208 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.208 * [misc]backup-simplify: Simplify 0 into 0 1545561404.208 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561404.208 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.208 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.211 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.211 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561404.212 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.212 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545561404.212 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561404.213 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545561404.213 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545561404.213 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.214 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545561404.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561404.216 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561404.217 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561404.217 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.217 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545561404.219 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561404.219 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545561404.219 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.219 * [misc]backup-simplify: Simplify 0 into 0 1545561404.219 * [misc]backup-simplify: Simplify 0 into 0 1545561404.219 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561404.220 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561404.220 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.220 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.220 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.223 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561404.224 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561404.224 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.224 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545561404.225 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561404.227 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545561404.228 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545561404.228 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.228 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545561404.228 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545561404.233 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561404.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545561404.233 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.233 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.233 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.234 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1545561404.236 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561404.236 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545561404.236 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.236 * [misc]backup-simplify: Simplify 0 into 0 1545561404.236 * [misc]backup-simplify: Simplify 0 into 0 1545561404.236 * [misc]backup-simplify: Simplify 0 into 0 1545561404.237 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.237 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561404.238 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561404.238 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.238 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.242 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561404.244 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545561404.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.244 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545561404.247 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1545561404.252 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545561404.258 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545561404.264 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545561404.265 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1545561404.265 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1545561404.265 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.265 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.265 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of k in k 1545561404.265 * [misc]backup-simplify: Simplify 0 into 0 1545561404.265 * [misc]backup-simplify: Simplify 1 into 1 1545561404.265 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.265 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561404.265 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.266 * [misc]backup-simplify: Simplify 2 into 2 1545561404.266 * [misc]taylor: Taking taylor expansion of n in k 1545561404.266 * [misc]backup-simplify: Simplify n into n 1545561404.266 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561404.266 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561404.266 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.266 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.266 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.266 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561404.266 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.266 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561404.267 * [misc]taylor: Taking taylor expansion of k in k 1545561404.267 * [misc]backup-simplify: Simplify 0 into 0 1545561404.267 * [misc]backup-simplify: Simplify 1 into 1 1545561404.267 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.267 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.267 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545561404.267 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.267 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of k in n 1545561404.268 * [misc]backup-simplify: Simplify k into k 1545561404.268 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.268 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.268 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.268 * [misc]backup-simplify: Simplify 2 into 2 1545561404.268 * [misc]taylor: Taking taylor expansion of n in n 1545561404.268 * [misc]backup-simplify: Simplify 0 into 0 1545561404.268 * [misc]backup-simplify: Simplify 1 into 1 1545561404.268 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.268 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.268 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.268 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.269 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.269 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.270 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.270 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of k in n 1545561404.270 * [misc]backup-simplify: Simplify k into k 1545561404.270 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561404.270 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561404.270 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.270 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.270 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of k in n 1545561404.270 * [misc]backup-simplify: Simplify k into k 1545561404.270 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.270 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.270 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.271 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.271 * [misc]backup-simplify: Simplify 2 into 2 1545561404.271 * [misc]taylor: Taking taylor expansion of n in n 1545561404.271 * [misc]backup-simplify: Simplify 0 into 0 1545561404.271 * [misc]backup-simplify: Simplify 1 into 1 1545561404.271 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.271 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.271 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.271 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.272 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.272 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.272 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.273 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.273 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561404.273 * [misc]taylor: Taking taylor expansion of k in n 1545561404.273 * [misc]backup-simplify: Simplify k into k 1545561404.273 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561404.273 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561404.273 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561404.273 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545561404.273 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561404.273 * [misc]taylor: Taking taylor expansion of k in k 1545561404.273 * [misc]backup-simplify: Simplify 0 into 0 1545561404.273 * [misc]backup-simplify: Simplify 1 into 1 1545561404.274 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.274 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.274 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545561404.274 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545561404.274 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.274 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.274 * [misc]taylor: Taking taylor expansion of k in k 1545561404.274 * [misc]backup-simplify: Simplify 0 into 0 1545561404.274 * [misc]backup-simplify: Simplify 1 into 1 1545561404.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.275 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545561404.275 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561404.275 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.275 * [misc]backup-simplify: Simplify 2 into 2 1545561404.275 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.275 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561404.275 * [misc]taylor: Taking taylor expansion of n in k 1545561404.275 * [misc]backup-simplify: Simplify n into n 1545561404.275 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561404.275 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.275 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.276 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.276 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561404.276 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545561404.276 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545561404.276 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.277 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1545561404.277 * [misc]backup-simplify: Simplify 0 into 0 1545561404.277 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561404.279 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.280 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.280 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.280 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.280 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.280 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.281 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561404.282 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.283 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1545561404.283 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.283 * [misc]backup-simplify: Simplify 0 into 0 1545561404.283 * [misc]backup-simplify: Simplify 0 into 0 1545561404.283 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.284 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.284 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545561404.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.288 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561404.288 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.289 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561404.289 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.289 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.289 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545561404.291 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561404.291 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545561404.291 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.291 * [misc]backup-simplify: Simplify 0 into 0 1545561404.291 * [misc]backup-simplify: Simplify 0 into 0 1545561404.291 * [misc]backup-simplify: Simplify 0 into 0 1545561404.292 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561404.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.292 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.293 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545561404.293 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.297 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561404.297 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.297 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561404.297 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.298 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545561404.300 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561404.301 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545561404.301 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.301 * [misc]backup-simplify: Simplify 0 into 0 1545561404.301 * [misc]backup-simplify: Simplify 0 into 0 1545561404.301 * [misc]backup-simplify: Simplify 0 into 0 1545561404.301 * [misc]backup-simplify: Simplify 0 into 0 1545561404.301 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561404.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.302 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.303 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561404.303 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545561404.303 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545561404.303 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545561404.303 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561404.303 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561404.303 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.304 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of k in k 1545561404.304 * [misc]backup-simplify: Simplify 0 into 0 1545561404.304 * [misc]backup-simplify: Simplify 1 into 1 1545561404.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.304 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of -2 in k 1545561404.304 * [misc]backup-simplify: Simplify -2 into -2 1545561404.304 * [misc]taylor: Taking taylor expansion of n in k 1545561404.304 * [misc]backup-simplify: Simplify n into n 1545561404.304 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561404.304 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561404.304 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.304 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.304 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561404.304 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.304 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561404.304 * [misc]taylor: Taking taylor expansion of -1 in k 1545561404.304 * [misc]backup-simplify: Simplify -1 into -1 1545561404.304 * [misc]taylor: Taking taylor expansion of k in k 1545561404.304 * [misc]backup-simplify: Simplify 0 into 0 1545561404.304 * [misc]backup-simplify: Simplify 1 into 1 1545561404.305 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561404.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.305 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561404.305 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.306 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of k in n 1545561404.306 * [misc]backup-simplify: Simplify k into k 1545561404.306 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.306 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.306 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.306 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.306 * [misc]backup-simplify: Simplify -2 into -2 1545561404.306 * [misc]taylor: Taking taylor expansion of n in n 1545561404.306 * [misc]backup-simplify: Simplify 0 into 0 1545561404.306 * [misc]backup-simplify: Simplify 1 into 1 1545561404.306 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.306 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.306 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.306 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.306 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.307 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.307 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.307 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561404.307 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561404.307 * [misc]taylor: Taking taylor expansion of -1 in n 1545561404.307 * [misc]backup-simplify: Simplify -1 into -1 1545561404.307 * [misc]taylor: Taking taylor expansion of k in n 1545561404.307 * [misc]backup-simplify: Simplify k into k 1545561404.307 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561404.307 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561404.307 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561404.307 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561404.307 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545561404.307 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of k in n 1545561404.308 * [misc]backup-simplify: Simplify k into k 1545561404.308 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.308 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.308 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.308 * [misc]backup-simplify: Simplify -2 into -2 1545561404.308 * [misc]taylor: Taking taylor expansion of n in n 1545561404.308 * [misc]backup-simplify: Simplify 0 into 0 1545561404.308 * [misc]backup-simplify: Simplify 1 into 1 1545561404.308 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.308 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.308 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.308 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.308 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.309 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.309 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.309 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561404.309 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561404.309 * [misc]taylor: Taking taylor expansion of -1 in n 1545561404.309 * [misc]backup-simplify: Simplify -1 into -1 1545561404.309 * [misc]taylor: Taking taylor expansion of k in n 1545561404.309 * [misc]backup-simplify: Simplify k into k 1545561404.309 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561404.309 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561404.309 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561404.309 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561404.309 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545561404.309 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545561404.309 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545561404.309 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.310 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of k in k 1545561404.310 * [misc]backup-simplify: Simplify 0 into 0 1545561404.310 * [misc]backup-simplify: Simplify 1 into 1 1545561404.310 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.310 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of -2 in k 1545561404.310 * [misc]backup-simplify: Simplify -2 into -2 1545561404.310 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.310 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561404.310 * [misc]taylor: Taking taylor expansion of n in k 1545561404.310 * [misc]backup-simplify: Simplify n into n 1545561404.310 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561404.310 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.310 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.310 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561404.310 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545561404.311 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545561404.311 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.311 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561404.311 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561404.311 * [misc]taylor: Taking taylor expansion of -1 in k 1545561404.311 * [misc]backup-simplify: Simplify -1 into -1 1545561404.311 * [misc]taylor: Taking taylor expansion of k in k 1545561404.311 * [misc]backup-simplify: Simplify 0 into 0 1545561404.311 * [misc]backup-simplify: Simplify 1 into 1 1545561404.311 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561404.311 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.311 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561404.312 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545561404.312 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545561404.312 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561404.314 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561404.314 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.314 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.314 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.314 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.314 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561404.315 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.316 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545561404.316 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.316 * [misc]backup-simplify: Simplify 0 into 0 1545561404.316 * [misc]backup-simplify: Simplify 0 into 0 1545561404.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545561404.317 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561404.317 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561404.317 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561404.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.321 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545561404.321 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.321 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561404.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.322 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545561404.325 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561404.325 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561404.326 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545561404.326 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545561404.326 * [misc]taylor: Taking taylor expansion of 0 in k 1545561404.326 * [misc]backup-simplify: Simplify 0 into 0 1545561404.326 * [misc]backup-simplify: Simplify 0 into 0 1545561404.326 * [misc]backup-simplify: Simplify 0 into 0 1545561404.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.328 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561404.330 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561404.330 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545561404.332 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545561404.332 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545561404.333 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545561404.333 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545561404.333 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.333 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.333 * [misc]taylor: Taking taylor expansion of k in n 1545561404.333 * [misc]backup-simplify: Simplify k into k 1545561404.333 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.333 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.333 * [misc]backup-simplify: Simplify 2 into 2 1545561404.333 * [misc]taylor: Taking taylor expansion of n in n 1545561404.333 * [misc]backup-simplify: Simplify 0 into 0 1545561404.333 * [misc]backup-simplify: Simplify 1 into 1 1545561404.333 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.334 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.334 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.334 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561404.334 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561404.334 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561404.335 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.335 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561404.335 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561404.335 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545561404.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545561404.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545561404.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561404.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.335 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561404.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.335 * [misc]taylor: Taking taylor expansion of k in n 1545561404.335 * [misc]backup-simplify: Simplify k into k 1545561404.335 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.335 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.336 * [misc]backup-simplify: Simplify PI into PI 1545561404.336 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.336 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561404.336 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561404.336 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561404.336 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545561404.337 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545561404.337 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561404.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.337 * [misc]taylor: Taking taylor expansion of k in n 1545561404.337 * [misc]backup-simplify: Simplify k into k 1545561404.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.337 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561404.337 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561404.337 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.337 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.338 * [misc]taylor: Taking taylor expansion of k in k 1545561404.338 * [misc]backup-simplify: Simplify 0 into 0 1545561404.338 * [misc]backup-simplify: Simplify 1 into 1 1545561404.338 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561404.338 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561404.338 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.338 * [misc]backup-simplify: Simplify 2 into 2 1545561404.338 * [misc]taylor: Taking taylor expansion of n in k 1545561404.338 * [misc]backup-simplify: Simplify n into n 1545561404.338 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561404.338 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561404.338 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.338 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.338 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.338 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561404.339 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561404.339 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561404.339 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561404.339 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561404.339 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.339 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.339 * [misc]taylor: Taking taylor expansion of k in k 1545561404.339 * [misc]backup-simplify: Simplify 0 into 0 1545561404.339 * [misc]backup-simplify: Simplify 1 into 1 1545561404.339 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.339 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.339 * [misc]backup-simplify: Simplify PI into PI 1545561404.339 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.339 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.340 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.340 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.340 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.341 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561404.341 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561404.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.341 * [misc]taylor: Taking taylor expansion of k in k 1545561404.341 * [misc]backup-simplify: Simplify 0 into 0 1545561404.341 * [misc]backup-simplify: Simplify 1 into 1 1545561404.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.341 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.342 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.342 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.342 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.342 * [misc]taylor: Taking taylor expansion of k in k 1545561404.342 * [misc]backup-simplify: Simplify 0 into 0 1545561404.342 * [misc]backup-simplify: Simplify 1 into 1 1545561404.342 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561404.342 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.342 * [misc]backup-simplify: Simplify 2 into 2 1545561404.342 * [misc]taylor: Taking taylor expansion of n in k 1545561404.342 * [misc]backup-simplify: Simplify n into n 1545561404.342 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561404.343 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561404.343 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.343 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.343 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.343 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561404.343 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561404.343 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561404.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561404.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561404.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.343 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.343 * [misc]taylor: Taking taylor expansion of k in k 1545561404.344 * [misc]backup-simplify: Simplify 0 into 0 1545561404.344 * [misc]backup-simplify: Simplify 1 into 1 1545561404.344 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.344 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.344 * [misc]backup-simplify: Simplify PI into PI 1545561404.344 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.344 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.344 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.344 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.345 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.346 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561404.346 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561404.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.346 * [misc]taylor: Taking taylor expansion of k in k 1545561404.346 * [misc]backup-simplify: Simplify 0 into 0 1545561404.346 * [misc]backup-simplify: Simplify 1 into 1 1545561404.346 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.346 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.346 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.347 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545561404.347 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545561404.347 * [misc]taylor: Taking taylor expansion of 0 in n 1545561404.347 * [misc]backup-simplify: Simplify 0 into 0 1545561404.347 * [misc]backup-simplify: Simplify 0 into 0 1545561404.350 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.350 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561404.350 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.350 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.351 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561404.354 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545561404.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545561404.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545561404.356 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561404.356 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.356 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545561404.357 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545561404.359 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545561404.360 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545561404.360 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545561404.360 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561404.360 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.360 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.360 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561404.360 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.360 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.360 * [misc]backup-simplify: Simplify 2 into 2 1545561404.360 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.361 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.361 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561404.361 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561404.361 * [misc]taylor: Taking taylor expansion of n in n 1545561404.361 * [misc]backup-simplify: Simplify 0 into 0 1545561404.361 * [misc]backup-simplify: Simplify 1 into 1 1545561404.361 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.361 * [misc]backup-simplify: Simplify PI into PI 1545561404.361 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561404.362 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561404.362 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.362 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.363 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561404.363 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.363 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.363 * [misc]backup-simplify: Simplify 0 into 0 1545561404.363 * [misc]backup-simplify: Simplify 0 into 0 1545561404.363 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561404.364 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561404.369 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561404.369 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.369 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561404.376 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545561404.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545561404.378 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545561404.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.378 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.378 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545561404.380 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545561404.383 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545561404.386 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545561404.386 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.386 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.386 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.386 * [misc]backup-simplify: Simplify 2 into 2 1545561404.386 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.386 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.386 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.386 * [misc]backup-simplify: Simplify PI into PI 1545561404.386 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.386 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561404.386 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.386 * [misc]backup-simplify: Simplify PI into PI 1545561404.386 * [misc]taylor: Taking taylor expansion of n in n 1545561404.386 * [misc]backup-simplify: Simplify 0 into 0 1545561404.386 * [misc]backup-simplify: Simplify 1 into 1 1545561404.387 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561404.387 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561404.387 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.387 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.387 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545561404.387 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561404.387 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561404.387 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.387 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.387 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561404.387 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.388 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.388 * [misc]backup-simplify: Simplify 2 into 2 1545561404.388 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.388 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.388 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561404.388 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561404.388 * [misc]taylor: Taking taylor expansion of n in n 1545561404.388 * [misc]backup-simplify: Simplify 0 into 0 1545561404.388 * [misc]backup-simplify: Simplify 1 into 1 1545561404.388 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.388 * [misc]backup-simplify: Simplify PI into PI 1545561404.388 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561404.388 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561404.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.389 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.389 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.389 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.389 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.389 * [misc]backup-simplify: Simplify 2 into 2 1545561404.389 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.389 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.389 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.389 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.389 * [misc]backup-simplify: Simplify 2 into 2 1545561404.389 * [misc]taylor: Taking taylor expansion of n in n 1545561404.389 * [misc]backup-simplify: Simplify 0 into 0 1545561404.390 * [misc]backup-simplify: Simplify 1 into 1 1545561404.390 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.390 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.390 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.390 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561404.390 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561404.390 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.390 * [misc]backup-simplify: Simplify PI into PI 1545561404.390 * [misc]taylor: Taking taylor expansion of n in n 1545561404.390 * [misc]backup-simplify: Simplify 0 into 0 1545561404.390 * [misc]backup-simplify: Simplify 1 into 1 1545561404.390 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561404.391 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561404.391 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.391 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.392 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561404.392 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561404.392 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.392 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561404.394 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.394 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.394 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561404.394 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.395 * [misc]backup-simplify: Simplify 0 into 0 1545561404.396 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561404.397 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561404.398 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561404.398 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561404.398 * [misc]backup-simplify: Simplify 0 into 0 1545561404.399 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.399 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561404.404 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561404.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561404.404 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.405 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561404.409 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545561404.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545561404.411 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545561404.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561404.412 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.413 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545561404.414 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545561404.420 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545561404.428 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545561404.428 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545561404.428 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.429 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.429 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.429 * [misc]backup-simplify: Simplify 2 into 2 1545561404.429 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.429 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.429 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.429 * [misc]backup-simplify: Simplify PI into PI 1545561404.429 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.429 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561404.429 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.429 * [misc]backup-simplify: Simplify PI into PI 1545561404.429 * [misc]taylor: Taking taylor expansion of n in n 1545561404.429 * [misc]backup-simplify: Simplify 0 into 0 1545561404.429 * [misc]backup-simplify: Simplify 1 into 1 1545561404.429 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561404.430 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561404.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.430 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.430 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545561404.430 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545561404.430 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545561404.430 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.430 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.430 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545561404.430 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545561404.430 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.430 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.430 * [misc]backup-simplify: Simplify 2 into 2 1545561404.431 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.431 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.431 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545561404.431 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.431 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.431 * [misc]backup-simplify: Simplify PI into PI 1545561404.431 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.431 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561404.431 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561404.431 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.431 * [misc]backup-simplify: Simplify PI into PI 1545561404.431 * [misc]taylor: Taking taylor expansion of n in n 1545561404.431 * [misc]backup-simplify: Simplify 0 into 0 1545561404.431 * [misc]backup-simplify: Simplify 1 into 1 1545561404.431 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561404.432 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561404.432 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.432 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.432 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545561404.432 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545561404.432 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545561404.432 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.432 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.432 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545561404.432 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545561404.432 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.432 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.432 * [misc]backup-simplify: Simplify 2 into 2 1545561404.432 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.433 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.433 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545561404.433 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.433 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.433 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.433 * [misc]backup-simplify: Simplify 2 into 2 1545561404.433 * [misc]taylor: Taking taylor expansion of n in n 1545561404.433 * [misc]backup-simplify: Simplify 0 into 0 1545561404.433 * [misc]backup-simplify: Simplify 1 into 1 1545561404.433 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.433 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.433 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.433 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.433 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561404.433 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561404.433 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.433 * [misc]backup-simplify: Simplify PI into PI 1545561404.433 * [misc]taylor: Taking taylor expansion of n in n 1545561404.433 * [misc]backup-simplify: Simplify 0 into 0 1545561404.433 * [misc]backup-simplify: Simplify 1 into 1 1545561404.434 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561404.434 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561404.434 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.434 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.434 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545561404.434 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545561404.434 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545561404.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.434 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545561404.434 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545561404.434 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.434 * [misc]backup-simplify: Simplify 2 into 2 1545561404.435 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.435 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.435 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545561404.435 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.435 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.435 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.435 * [misc]backup-simplify: Simplify 2 into 2 1545561404.435 * [misc]taylor: Taking taylor expansion of n in n 1545561404.435 * [misc]backup-simplify: Simplify 0 into 0 1545561404.435 * [misc]backup-simplify: Simplify 1 into 1 1545561404.435 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.435 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.435 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.435 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.435 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.435 * [misc]backup-simplify: Simplify PI into PI 1545561404.435 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.435 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561404.435 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561404.436 * [misc]taylor: Taking taylor expansion of n in n 1545561404.436 * [misc]backup-simplify: Simplify 0 into 0 1545561404.436 * [misc]backup-simplify: Simplify 1 into 1 1545561404.436 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.436 * [misc]backup-simplify: Simplify PI into PI 1545561404.436 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561404.436 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561404.436 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.437 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.437 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.437 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.437 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.437 * [misc]backup-simplify: Simplify 2 into 2 1545561404.437 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.437 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.437 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561404.437 * [misc]taylor: Taking taylor expansion of n in n 1545561404.437 * [misc]backup-simplify: Simplify 0 into 0 1545561404.437 * [misc]backup-simplify: Simplify 1 into 1 1545561404.437 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.437 * [misc]backup-simplify: Simplify PI into PI 1545561404.437 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561404.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561404.438 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.438 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.438 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.438 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.438 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.438 * [misc]backup-simplify: Simplify 2 into 2 1545561404.438 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561404.438 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561404.438 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561404.438 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.438 * [misc]backup-simplify: Simplify 2 into 2 1545561404.438 * [misc]taylor: Taking taylor expansion of n in n 1545561404.439 * [misc]backup-simplify: Simplify 0 into 0 1545561404.439 * [misc]backup-simplify: Simplify 1 into 1 1545561404.439 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561404.439 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561404.439 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.439 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561404.439 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561404.439 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.439 * [misc]backup-simplify: Simplify PI into PI 1545561404.439 * [misc]taylor: Taking taylor expansion of n in n 1545561404.439 * [misc]backup-simplify: Simplify 0 into 0 1545561404.439 * [misc]backup-simplify: Simplify 1 into 1 1545561404.439 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561404.440 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561404.440 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.440 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561404.440 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561404.441 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561404.441 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.442 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545561404.442 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545561404.443 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545561404.443 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.443 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.443 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.444 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545561404.444 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545561404.444 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545561404.444 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.445 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.445 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545561404.445 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545561404.446 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545561404.446 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.446 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561404.446 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.446 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.446 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561404.447 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.447 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.448 * [misc]backup-simplify: Simplify 0 into 0 1545561404.450 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.450 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545561404.451 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561404.453 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561404.454 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561404.455 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561404.455 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.457 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561404.458 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561404.459 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561404.461 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561404.463 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561404.466 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545561404.470 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545561404.476 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561404.482 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561404.489 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561404.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545561404.492 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545561404.493 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545561404.496 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561404.500 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561404.502 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561404.503 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561404.513 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545561404.514 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545561404.514 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545561404.514 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.514 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.514 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of k in n 1545561404.514 * [misc]backup-simplify: Simplify k into k 1545561404.514 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.514 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.514 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.514 * [misc]backup-simplify: Simplify PI into PI 1545561404.515 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.515 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.515 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.515 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.515 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561404.516 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.516 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of k in n 1545561404.516 * [misc]backup-simplify: Simplify k into k 1545561404.516 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.516 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.516 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.516 * [misc]backup-simplify: Simplify 2 into 2 1545561404.516 * [misc]taylor: Taking taylor expansion of n in n 1545561404.516 * [misc]backup-simplify: Simplify 0 into 0 1545561404.516 * [misc]backup-simplify: Simplify 1 into 1 1545561404.517 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.517 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.517 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.517 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.517 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.518 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.518 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.518 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561404.518 * [misc]taylor: Taking taylor expansion of k in n 1545561404.518 * [misc]backup-simplify: Simplify k into k 1545561404.518 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561404.518 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561404.518 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545561404.518 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561404.518 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561404.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561404.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561404.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.519 * [misc]taylor: Taking taylor expansion of k in k 1545561404.519 * [misc]backup-simplify: Simplify 0 into 0 1545561404.519 * [misc]backup-simplify: Simplify 1 into 1 1545561404.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.519 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.519 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.519 * [misc]backup-simplify: Simplify PI into PI 1545561404.519 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.519 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.520 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.520 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.520 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561404.521 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.521 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of k in k 1545561404.521 * [misc]backup-simplify: Simplify 0 into 0 1545561404.521 * [misc]backup-simplify: Simplify 1 into 1 1545561404.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.521 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561404.521 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.521 * [misc]backup-simplify: Simplify 2 into 2 1545561404.521 * [misc]taylor: Taking taylor expansion of n in k 1545561404.521 * [misc]backup-simplify: Simplify n into n 1545561404.521 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561404.521 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561404.522 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.522 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.522 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.522 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561404.522 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.524 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561404.524 * [misc]taylor: Taking taylor expansion of k in k 1545561404.524 * [misc]backup-simplify: Simplify 0 into 0 1545561404.524 * [misc]backup-simplify: Simplify 1 into 1 1545561404.524 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.525 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.525 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of k in k 1545561404.525 * [misc]backup-simplify: Simplify 0 into 0 1545561404.525 * [misc]backup-simplify: Simplify 1 into 1 1545561404.525 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.525 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.525 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.525 * [misc]backup-simplify: Simplify PI into PI 1545561404.526 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.526 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.526 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.526 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.527 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561404.527 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.527 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561404.527 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561404.527 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561404.527 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.527 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.527 * [misc]taylor: Taking taylor expansion of k in k 1545561404.527 * [misc]backup-simplify: Simplify 0 into 0 1545561404.527 * [misc]backup-simplify: Simplify 1 into 1 1545561404.528 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.528 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561404.528 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561404.528 * [misc]taylor: Taking taylor expansion of 2 in k 1545561404.528 * [misc]backup-simplify: Simplify 2 into 2 1545561404.528 * [misc]taylor: Taking taylor expansion of n in k 1545561404.528 * [misc]backup-simplify: Simplify n into n 1545561404.528 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561404.528 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561404.528 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.528 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.528 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.528 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561404.529 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.529 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561404.529 * [misc]taylor: Taking taylor expansion of k in k 1545561404.529 * [misc]backup-simplify: Simplify 0 into 0 1545561404.529 * [misc]backup-simplify: Simplify 1 into 1 1545561404.529 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.529 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561404.530 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545561404.530 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545561404.530 * [misc]taylor: Taking taylor expansion of 0 in n 1545561404.530 * [misc]backup-simplify: Simplify 0 into 0 1545561404.530 * [misc]backup-simplify: Simplify 0 into 0 1545561404.531 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545561404.531 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561404.531 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.531 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.531 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.532 * [misc]taylor: Taking taylor expansion of k in n 1545561404.532 * [misc]backup-simplify: Simplify k into k 1545561404.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.532 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.532 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.532 * [misc]backup-simplify: Simplify PI into PI 1545561404.532 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.532 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.532 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.532 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.533 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561404.533 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.533 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of k in n 1545561404.533 * [misc]backup-simplify: Simplify k into k 1545561404.533 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.533 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.533 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.534 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.534 * [misc]backup-simplify: Simplify 2 into 2 1545561404.534 * [misc]taylor: Taking taylor expansion of n in n 1545561404.534 * [misc]backup-simplify: Simplify 0 into 0 1545561404.534 * [misc]backup-simplify: Simplify 1 into 1 1545561404.534 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.534 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.534 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.534 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.534 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.535 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.535 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.536 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561404.536 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.536 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561404.536 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561404.536 * [misc]backup-simplify: Simplify 0 into 0 1545561404.537 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561404.537 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545561404.538 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561404.538 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.538 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.538 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.538 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of k in n 1545561404.538 * [misc]backup-simplify: Simplify k into k 1545561404.538 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.538 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.538 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.538 * [misc]backup-simplify: Simplify PI into PI 1545561404.538 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.538 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.538 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.539 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.539 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561404.539 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.539 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of k in n 1545561404.539 * [misc]backup-simplify: Simplify k into k 1545561404.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.539 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.539 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.539 * [misc]backup-simplify: Simplify 2 into 2 1545561404.539 * [misc]taylor: Taking taylor expansion of n in n 1545561404.539 * [misc]backup-simplify: Simplify 0 into 0 1545561404.539 * [misc]backup-simplify: Simplify 1 into 1 1545561404.539 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.540 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.540 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.540 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.540 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.540 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.541 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561404.541 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.541 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561404.542 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561404.542 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561404.543 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561404.543 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.544 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.544 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561404.545 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.547 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.547 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.547 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545561404.548 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.548 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545561404.549 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545561404.549 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.549 * [misc]backup-simplify: Simplify 0 into 0 1545561404.549 * [misc]backup-simplify: Simplify 0 into 0 1545561404.550 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561404.550 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545561404.550 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561404.550 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.551 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.551 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of k in n 1545561404.551 * [misc]backup-simplify: Simplify k into k 1545561404.551 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.551 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.551 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.551 * [misc]backup-simplify: Simplify PI into PI 1545561404.551 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.551 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.551 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.551 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.551 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561404.552 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561404.552 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of k in n 1545561404.552 * [misc]backup-simplify: Simplify k into k 1545561404.552 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.552 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561404.552 * [misc]taylor: Taking taylor expansion of 2 in n 1545561404.552 * [misc]backup-simplify: Simplify 2 into 2 1545561404.552 * [misc]taylor: Taking taylor expansion of n in n 1545561404.552 * [misc]backup-simplify: Simplify 0 into 0 1545561404.552 * [misc]backup-simplify: Simplify 1 into 1 1545561404.552 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561404.552 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561404.552 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.552 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561404.552 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561404.553 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561404.553 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561404.553 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561404.553 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561404.554 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561404.554 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561404.554 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561404.556 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545561404.556 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545561404.556 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545561404.556 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of k in n 1545561404.556 * [misc]backup-simplify: Simplify k into k 1545561404.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.556 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.556 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.556 * [misc]backup-simplify: Simplify -2 into -2 1545561404.556 * [misc]taylor: Taking taylor expansion of n in n 1545561404.556 * [misc]backup-simplify: Simplify 0 into 0 1545561404.557 * [misc]backup-simplify: Simplify 1 into 1 1545561404.557 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.557 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.557 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.557 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.557 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.557 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.558 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of k in n 1545561404.558 * [misc]backup-simplify: Simplify k into k 1545561404.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.558 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.558 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.558 * [misc]backup-simplify: Simplify PI into PI 1545561404.558 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.558 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.558 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.558 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561404.559 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.559 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561404.559 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561404.559 * [misc]taylor: Taking taylor expansion of -1 in n 1545561404.559 * [misc]backup-simplify: Simplify -1 into -1 1545561404.559 * [misc]taylor: Taking taylor expansion of k in n 1545561404.559 * [misc]backup-simplify: Simplify k into k 1545561404.559 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561404.559 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561404.559 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561404.559 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561404.559 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.559 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545561404.560 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of k in k 1545561404.560 * [misc]backup-simplify: Simplify 0 into 0 1545561404.560 * [misc]backup-simplify: Simplify 1 into 1 1545561404.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.560 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561404.560 * [misc]taylor: Taking taylor expansion of -2 in k 1545561404.560 * [misc]backup-simplify: Simplify -2 into -2 1545561404.560 * [misc]taylor: Taking taylor expansion of n in k 1545561404.560 * [misc]backup-simplify: Simplify n into n 1545561404.560 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561404.560 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561404.560 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.560 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.560 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561404.560 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.560 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of k in k 1545561404.561 * [misc]backup-simplify: Simplify 0 into 0 1545561404.561 * [misc]backup-simplify: Simplify 1 into 1 1545561404.561 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.561 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.561 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.561 * [misc]backup-simplify: Simplify PI into PI 1545561404.561 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.561 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.561 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.562 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.562 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.562 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561404.562 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561404.562 * [misc]taylor: Taking taylor expansion of -1 in k 1545561404.562 * [misc]backup-simplify: Simplify -1 into -1 1545561404.562 * [misc]taylor: Taking taylor expansion of k in k 1545561404.562 * [misc]backup-simplify: Simplify 0 into 0 1545561404.562 * [misc]backup-simplify: Simplify 1 into 1 1545561404.562 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561404.562 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.562 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561404.563 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.563 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561404.563 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of k in k 1545561404.563 * [misc]backup-simplify: Simplify 0 into 0 1545561404.563 * [misc]backup-simplify: Simplify 1 into 1 1545561404.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.563 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561404.563 * [misc]taylor: Taking taylor expansion of -2 in k 1545561404.563 * [misc]backup-simplify: Simplify -2 into -2 1545561404.563 * [misc]taylor: Taking taylor expansion of n in k 1545561404.563 * [misc]backup-simplify: Simplify n into n 1545561404.563 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561404.563 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561404.563 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.563 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.564 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561404.564 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.564 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of k in k 1545561404.564 * [misc]backup-simplify: Simplify 0 into 0 1545561404.564 * [misc]backup-simplify: Simplify 1 into 1 1545561404.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.564 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.564 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.564 * [misc]backup-simplify: Simplify PI into PI 1545561404.564 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.564 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.564 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.565 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.565 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561404.565 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561404.565 * [misc]taylor: Taking taylor expansion of -1 in k 1545561404.565 * [misc]backup-simplify: Simplify -1 into -1 1545561404.565 * [misc]taylor: Taking taylor expansion of k in k 1545561404.565 * [misc]backup-simplify: Simplify 0 into 0 1545561404.565 * [misc]backup-simplify: Simplify 1 into 1 1545561404.565 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561404.565 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561404.566 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561404.566 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.566 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561404.566 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.566 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.566 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of k in n 1545561404.566 * [misc]backup-simplify: Simplify k into k 1545561404.566 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.566 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.566 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.566 * [misc]backup-simplify: Simplify -2 into -2 1545561404.566 * [misc]taylor: Taking taylor expansion of n in n 1545561404.566 * [misc]backup-simplify: Simplify 0 into 0 1545561404.566 * [misc]backup-simplify: Simplify 1 into 1 1545561404.566 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.567 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.567 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.567 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.567 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.567 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.567 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.567 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561404.567 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561404.567 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.567 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.567 * [misc]taylor: Taking taylor expansion of k in n 1545561404.568 * [misc]backup-simplify: Simplify k into k 1545561404.568 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.568 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.568 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.568 * [misc]backup-simplify: Simplify PI into PI 1545561404.568 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.568 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.568 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.568 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561404.568 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.569 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.569 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561404.569 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561404.569 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561404.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545561404.570 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561404.571 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561404.571 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.571 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of k in n 1545561404.571 * [misc]backup-simplify: Simplify k into k 1545561404.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.571 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.571 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.571 * [misc]backup-simplify: Simplify -2 into -2 1545561404.571 * [misc]taylor: Taking taylor expansion of n in n 1545561404.571 * [misc]backup-simplify: Simplify 0 into 0 1545561404.571 * [misc]backup-simplify: Simplify 1 into 1 1545561404.571 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.571 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.572 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.572 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.572 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.572 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of k in n 1545561404.572 * [misc]backup-simplify: Simplify k into k 1545561404.572 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.572 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.572 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.572 * [misc]backup-simplify: Simplify PI into PI 1545561404.573 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.573 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.573 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.573 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561404.573 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.573 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.574 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561404.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561404.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561404.576 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.576 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.577 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545561404.577 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.578 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561404.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561404.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561404.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561404.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.580 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.580 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561404.581 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561404.581 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561404.581 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561404.581 * [misc]backup-simplify: Simplify 0 into 0 1545561404.582 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561404.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.583 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561404.583 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561404.583 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545561404.583 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561404.583 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561404.584 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561404.584 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of k in n 1545561404.584 * [misc]backup-simplify: Simplify k into k 1545561404.584 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.584 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561404.584 * [misc]taylor: Taking taylor expansion of -2 in n 1545561404.584 * [misc]backup-simplify: Simplify -2 into -2 1545561404.584 * [misc]taylor: Taking taylor expansion of n in n 1545561404.584 * [misc]backup-simplify: Simplify 0 into 0 1545561404.584 * [misc]backup-simplify: Simplify 1 into 1 1545561404.584 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561404.584 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561404.584 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.584 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.584 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561404.585 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561404.585 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561404.585 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of k in n 1545561404.585 * [misc]backup-simplify: Simplify k into k 1545561404.585 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561404.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561404.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.585 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561404.585 * [misc]taylor: Taking taylor expansion of PI in n 1545561404.585 * [misc]backup-simplify: Simplify PI into PI 1545561404.585 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.585 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561404.585 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561404.586 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561404.586 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561404.586 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561404.586 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561404.587 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561404.587 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561404.588 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561404.588 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1545561404.589 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545561404.589 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1545561404.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.589 * [misc]taylor: Taking taylor expansion of k in k 1545561404.589 * [misc]backup-simplify: Simplify 0 into 0 1545561404.589 * [misc]backup-simplify: Simplify 1 into 1 1545561404.589 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.589 * [misc]backup-simplify: Simplify PI into PI 1545561404.589 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.589 * [misc]taylor: Taking taylor expansion of k in k 1545561404.589 * [misc]backup-simplify: Simplify 0 into 0 1545561404.589 * [misc]backup-simplify: Simplify 1 into 1 1545561404.589 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.589 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.589 * [misc]backup-simplify: Simplify PI into PI 1545561404.590 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.590 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561404.590 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.590 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.590 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.591 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.593 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.593 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561404.593 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.593 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.594 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561404.595 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561404.598 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561404.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561404.598 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561404.599 * [misc]backup-simplify: Simplify 0 into 0 1545561404.603 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561404.603 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561404.603 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.605 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561404.605 * [misc]backup-simplify: Simplify 0 into 0 1545561404.612 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545561404.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545561404.612 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.612 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545561404.614 * [misc]backup-simplify: Simplify 0 into 0 1545561404.624 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545561404.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545561404.624 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545561404.626 * [misc]backup-simplify: Simplify 0 into 0 1545561404.651 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545561404.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545561404.651 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545561404.655 * [misc]backup-simplify: Simplify 0 into 0 1545561404.681 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545561404.681 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545561404.681 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.681 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545561404.684 * [misc]backup-simplify: Simplify 0 into 0 1545561404.685 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561404.685 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561404.685 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1545561404.685 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561404.685 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.686 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of k in k 1545561404.686 * [misc]backup-simplify: Simplify 0 into 0 1545561404.686 * [misc]backup-simplify: Simplify 1 into 1 1545561404.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.686 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.686 * [misc]backup-simplify: Simplify PI into PI 1545561404.686 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.686 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.686 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of k in k 1545561404.686 * [misc]backup-simplify: Simplify 0 into 0 1545561404.686 * [misc]backup-simplify: Simplify 1 into 1 1545561404.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.686 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.686 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.686 * [misc]backup-simplify: Simplify PI into PI 1545561404.687 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.687 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.687 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561404.687 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561404.688 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561404.689 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561404.692 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.692 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561404.692 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545561404.693 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.693 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.694 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545561404.695 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.699 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561404.700 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.700 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545561404.700 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.702 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545561404.702 * [misc]backup-simplify: Simplify 0 into 0 1545561404.709 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561404.709 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545561404.710 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.712 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561404.712 * [misc]backup-simplify: Simplify 0 into 0 1545561404.724 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545561404.725 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545561404.725 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.728 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545561404.728 * [misc]backup-simplify: Simplify 0 into 0 1545561404.746 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545561404.747 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.747 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545561404.747 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.751 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545561404.751 * [misc]backup-simplify: Simplify 0 into 0 1545561404.779 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545561404.780 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545561404.781 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.785 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545561404.785 * [misc]backup-simplify: Simplify 0 into 0 1545561404.826 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545561404.827 * [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 1545561404.827 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545561404.828 * [misc]backup-simplify: Simplify (- 0) into 0 1545561404.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.832 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545561404.832 * [misc]backup-simplify: Simplify 0 into 0 1545561404.833 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561404.834 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561404.834 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1545561404.834 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561404.834 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.834 * [misc]taylor: Taking taylor expansion of k in k 1545561404.834 * [misc]backup-simplify: Simplify 0 into 0 1545561404.834 * [misc]backup-simplify: Simplify 1 into 1 1545561404.835 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.835 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.835 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.835 * [misc]backup-simplify: Simplify PI into PI 1545561404.835 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.835 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561404.835 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561404.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561404.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561404.835 * [misc]taylor: Taking taylor expansion of k in k 1545561404.835 * [misc]backup-simplify: Simplify 0 into 0 1545561404.835 * [misc]backup-simplify: Simplify 1 into 1 1545561404.835 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561404.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561404.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561404.835 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561404.836 * [misc]taylor: Taking taylor expansion of PI in k 1545561404.836 * [misc]backup-simplify: Simplify PI into PI 1545561404.836 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561404.836 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561404.836 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561404.837 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.837 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.840 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561404.840 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561404.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545561404.840 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545561404.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545561404.842 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561404.847 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561404.847 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545561404.848 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545561404.849 * [misc]backup-simplify: Simplify 0 into 0 1545561404.856 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561404.856 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545561404.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.859 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561404.859 * [misc]backup-simplify: Simplify 0 into 0 1545561404.871 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545561404.871 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.872 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545561404.872 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545561404.874 * [misc]backup-simplify: Simplify 0 into 0 1545561404.892 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545561404.893 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.894 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545561404.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.897 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545561404.897 * [misc]backup-simplify: Simplify 0 into 0 1545561404.927 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545561404.928 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561404.928 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545561404.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.932 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545561404.932 * [misc]backup-simplify: Simplify 0 into 0 1545561404.974 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545561404.975 * [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 1545561404.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545561404.976 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561404.980 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545561404.981 * [misc]backup-simplify: Simplify 0 into 0 1545561404.982 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561404.982 * * * [misc]progress: simplifying candidates 1545561404.982 * * * * [misc]progress: [ 1 / 147 ] simplifiying candidate # 1545561404.982 * * * * [misc]progress: [ 2 / 147 ] simplifiying candidate # 1545561404.982 * * * * [misc]progress: [ 3 / 147 ] simplifiying candidate # 1545561404.982 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545561404.983 * * [misc]simplify: iters left: 6 (9 enodes) 1545561404.986 * * [misc]simplify: iters left: 5 (16 enodes) 1545561404.992 * * [misc]simplify: iters left: 4 (32 enodes) 1545561405.005 * * [misc]simplify: iters left: 3 (72 enodes) 1545561405.044 * * [misc]simplify: iters left: 2 (195 enodes) 1545561405.128 * * [misc]simplify: iters left: 1 (418 enodes) 1545561405.312 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545561405.312 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561405.312 * * * * [misc]progress: [ 4 / 147 ] simplifiying candidate # 1545561405.312 * * * * [misc]progress: [ 5 / 147 ] simplifiying candidate # 1545561405.312 * [enter]simplify: Simplifying (* n 2) 1545561405.313 * * [misc]simplify: iters left: 2 (3 enodes) 1545561405.313 * * [misc]simplify: iters left: 1 (4 enodes) 1545561405.314 * [exit]simplify: Simplified to (* n 2) 1545561405.314 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1545561405.314 * * * * [misc]progress: [ 6 / 147 ] simplifiying candidate # 1545561405.314 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545561405.314 * * [misc]simplify: iters left: 3 (6 enodes) 1545561405.315 * * [misc]simplify: iters left: 2 (7 enodes) 1545561405.316 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545561405.316 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1545561405.316 * * * * [misc]progress: [ 7 / 147 ] simplifiying candidate # 1545561405.316 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561405.316 * * [misc]simplify: iters left: 5 (6 enodes) 1545561405.317 * * [misc]simplify: iters left: 4 (8 enodes) 1545561405.318 * * [misc]simplify: iters left: 3 (11 enodes) 1545561405.320 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561405.320 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1545561405.320 * * * * [misc]progress: [ 8 / 147 ] simplifiying candidate # 1545561405.320 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561405.320 * * [misc]simplify: iters left: 5 (6 enodes) 1545561405.321 * * [misc]simplify: iters left: 4 (8 enodes) 1545561405.322 * * [misc]simplify: iters left: 3 (11 enodes) 1545561405.324 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561405.324 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1545561405.324 * * * * [misc]progress: [ 9 / 147 ] simplifiying candidate # 1545561405.324 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561405.324 * * [misc]simplify: iters left: 4 (5 enodes) 1545561405.325 * * [misc]simplify: iters left: 3 (7 enodes) 1545561405.326 * * [misc]simplify: iters left: 2 (10 enodes) 1545561405.327 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561405.327 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1545561405.327 * * * * [misc]progress: [ 10 / 147 ] simplifiying candidate # 1545561405.327 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561405.327 * * [misc]simplify: iters left: 5 (7 enodes) 1545561405.328 * * [misc]simplify: iters left: 4 (10 enodes) 1545561405.330 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561405.330 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1545561405.330 * * * * [misc]progress: [ 11 / 147 ] simplifiying candidate # 1545561405.330 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561405.330 * * [misc]simplify: iters left: 5 (7 enodes) 1545561405.331 * * [misc]simplify: iters left: 4 (10 enodes) 1545561405.334 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561405.334 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1545561405.334 * * * * [misc]progress: [ 12 / 147 ] simplifiying candidate # 1545561405.334 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545561405.334 * * [misc]simplify: iters left: 5 (7 enodes) 1545561405.337 * * [misc]simplify: iters left: 4 (9 enodes) 1545561405.339 * * [misc]simplify: iters left: 3 (12 enodes) 1545561405.341 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561405.341 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545561405.341 * * * * [misc]progress: [ 13 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 14 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 15 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 16 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 17 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 18 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 19 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 20 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 21 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 22 / 147 ] simplifiying candidate # 1545561405.341 * * * * [misc]progress: [ 23 / 147 ] simplifiying candidate # 1545561405.342 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561405.342 * * [misc]simplify: iters left: 6 (12 enodes) 1545561405.346 * * [misc]simplify: iters left: 5 (22 enodes) 1545561405.350 * * [misc]simplify: iters left: 4 (40 enodes) 1545561405.358 * * [misc]simplify: iters left: 3 (104 enodes) 1545561405.402 * * [misc]simplify: iters left: 2 (334 enodes) 1545561405.583 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561405.583 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545561405.583 * * * * [misc]progress: [ 24 / 147 ] simplifiying candidate # 1545561405.583 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561405.583 * * [misc]simplify: iters left: 6 (12 enodes) 1545561405.586 * * [misc]simplify: iters left: 5 (22 enodes) 1545561405.590 * * [misc]simplify: iters left: 4 (40 enodes) 1545561405.606 * * [misc]simplify: iters left: 3 (104 enodes) 1545561405.646 * * [misc]simplify: iters left: 2 (334 enodes) 1545561405.830 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561405.830 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545561405.830 * * * * [misc]progress: [ 25 / 147 ] simplifiying candidate # 1545561405.830 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545561405.830 * * [misc]simplify: iters left: 6 (12 enodes) 1545561405.832 * * [misc]simplify: iters left: 5 (19 enodes) 1545561405.836 * * [misc]simplify: iters left: 4 (29 enodes) 1545561405.840 * * [misc]simplify: iters left: 3 (46 enodes) 1545561405.852 * * [misc]simplify: iters left: 2 (134 enodes) 1545561405.950 * * [misc]simplify: iters left: 1 (437 enodes) 1545561406.278 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545561406.278 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545561406.278 * * * * [misc]progress: [ 26 / 147 ] simplifiying candidate # 1545561406.278 * * * * [misc]progress: [ 27 / 147 ] simplifiying candidate # 1545561406.278 * * * * [misc]progress: [ 28 / 147 ] simplifiying candidate # 1545561406.279 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545561406.279 * * [misc]simplify: iters left: 6 (14 enodes) 1545561406.284 * * [misc]simplify: iters left: 5 (26 enodes) 1545561406.293 * * [misc]simplify: iters left: 4 (57 enodes) 1545561406.313 * * [misc]simplify: iters left: 3 (112 enodes) 1545561406.362 * * [misc]simplify: iters left: 2 (189 enodes) 1545561406.453 * * [misc]simplify: iters left: 1 (316 enodes) 1545561406.654 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545561406.654 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561406.654 * * * * [misc]progress: [ 29 / 147 ] simplifiying candidate # 1545561406.654 * * * * [misc]progress: [ 30 / 147 ] simplifiying candidate # 1545561406.654 * * * * [misc]progress: [ 31 / 147 ] simplifiying candidate # 1545561406.654 * * * * [misc]progress: [ 32 / 147 ] simplifiying candidate # 1545561406.654 * * * * [misc]progress: [ 33 / 147 ] simplifiying candidate # 1545561406.654 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.654 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.657 * * [misc]simplify: iters left: 5 (14 enodes) 1545561406.659 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.659 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545561406.659 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561406.660 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.661 * * [misc]simplify: iters left: 5 (13 enodes) 1545561406.663 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561406.663 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545561406.663 * * * * [misc]progress: [ 34 / 147 ] simplifiying candidate # 1545561406.663 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545561406.663 * * [misc]simplify: iters left: 5 (9 enodes) 1545561406.665 * * [misc]simplify: iters left: 4 (11 enodes) 1545561406.666 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545561406.666 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545561406.666 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561406.666 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.668 * * [misc]simplify: iters left: 5 (13 enodes) 1545561406.670 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561406.670 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545561406.670 * * * * [misc]progress: [ 35 / 147 ] simplifiying candidate # 1545561406.670 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545561406.670 * * [misc]simplify: iters left: 5 (7 enodes) 1545561406.671 * * [misc]simplify: iters left: 4 (11 enodes) 1545561406.673 * * [misc]simplify: iters left: 3 (13 enodes) 1545561406.674 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561406.674 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561406.675 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561406.675 * * [misc]simplify: iters left: 6 (9 enodes) 1545561406.676 * * [misc]simplify: iters left: 5 (12 enodes) 1545561406.678 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561406.678 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561406.678 * * * * [misc]progress: [ 36 / 147 ] simplifiying candidate # 1545561406.678 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.678 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.680 * * [misc]simplify: iters left: 5 (14 enodes) 1545561406.682 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.682 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545561406.682 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561406.682 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.684 * * [misc]simplify: iters left: 5 (13 enodes) 1545561406.687 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561406.687 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545561406.687 * * * * [misc]progress: [ 37 / 147 ] simplifiying candidate # 1545561406.688 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545561406.688 * * [misc]simplify: iters left: 5 (9 enodes) 1545561406.691 * * [misc]simplify: iters left: 4 (11 enodes) 1545561406.693 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545561406.693 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545561406.694 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561406.694 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.696 * * [misc]simplify: iters left: 5 (13 enodes) 1545561406.698 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561406.698 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545561406.698 * * * * [misc]progress: [ 38 / 147 ] simplifiying candidate # 1545561406.698 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545561406.698 * * [misc]simplify: iters left: 5 (7 enodes) 1545561406.699 * * [misc]simplify: iters left: 4 (11 enodes) 1545561406.701 * * [misc]simplify: iters left: 3 (13 enodes) 1545561406.703 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561406.703 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561406.703 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561406.703 * * [misc]simplify: iters left: 6 (9 enodes) 1545561406.704 * * [misc]simplify: iters left: 5 (12 enodes) 1545561406.706 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561406.706 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545561406.706 * * * * [misc]progress: [ 39 / 147 ] simplifiying candidate # 1545561406.706 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.706 * * [misc]simplify: iters left: 6 (11 enodes) 1545561406.708 * * [misc]simplify: iters left: 5 (15 enodes) 1545561406.710 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.713 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.713 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561406.713 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561406.713 * * [misc]simplify: iters left: 6 (9 enodes) 1545561406.715 * * [misc]simplify: iters left: 5 (11 enodes) 1545561406.716 * * [misc]simplify: iters left: 4 (14 enodes) 1545561406.718 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561406.718 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561406.718 * * * * [misc]progress: [ 40 / 147 ] simplifiying candidate # 1545561406.719 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561406.719 * * [misc]simplify: iters left: 6 (10 enodes) 1545561406.720 * * [misc]simplify: iters left: 5 (12 enodes) 1545561406.722 * * [misc]simplify: iters left: 4 (15 enodes) 1545561406.726 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561406.726 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561406.726 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561406.727 * * [misc]simplify: iters left: 6 (9 enodes) 1545561406.729 * * [misc]simplify: iters left: 5 (11 enodes) 1545561406.732 * * [misc]simplify: iters left: 4 (14 enodes) 1545561406.736 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561406.736 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561406.736 * * * * [misc]progress: [ 41 / 147 ] simplifiying candidate # 1545561406.737 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545561406.737 * * [misc]simplify: iters left: 6 (9 enodes) 1545561406.740 * * [misc]simplify: iters left: 5 (13 enodes) 1545561406.744 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.748 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561406.748 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1545561406.749 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561406.749 * * [misc]simplify: iters left: 6 (8 enodes) 1545561406.751 * * [misc]simplify: iters left: 5 (10 enodes) 1545561406.754 * * [misc]simplify: iters left: 4 (13 enodes) 1545561406.760 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561406.760 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1545561406.760 * * * * [misc]progress: [ 42 / 147 ] simplifiying candidate # 1545561406.760 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.760 * * [misc]simplify: iters left: 6 (14 enodes) 1545561406.765 * * [misc]simplify: iters left: 5 (23 enodes) 1545561406.773 * * [misc]simplify: iters left: 4 (35 enodes) 1545561406.783 * * [misc]simplify: iters left: 3 (38 enodes) 1545561406.793 * * [misc]simplify: iters left: 2 (41 enodes) 1545561406.805 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545561406.805 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561406.806 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561406.806 * * [misc]simplify: iters left: 6 (12 enodes) 1545561406.809 * * [misc]simplify: iters left: 5 (15 enodes) 1545561406.814 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.819 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561406.819 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561406.819 * * * * [misc]progress: [ 43 / 147 ] simplifiying candidate # 1545561406.820 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545561406.820 * * [misc]simplify: iters left: 6 (13 enodes) 1545561406.824 * * [misc]simplify: iters left: 5 (18 enodes) 1545561406.830 * * [misc]simplify: iters left: 4 (23 enodes) 1545561406.836 * * [misc]simplify: iters left: 3 (24 enodes) 1545561406.843 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561406.843 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561406.844 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561406.844 * * [misc]simplify: iters left: 6 (12 enodes) 1545561406.847 * * [misc]simplify: iters left: 5 (15 enodes) 1545561406.850 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.853 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561406.853 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561406.853 * * * * [misc]progress: [ 44 / 147 ] simplifiying candidate # 1545561406.853 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1545561406.853 * * [misc]simplify: iters left: 6 (12 enodes) 1545561406.855 * * [misc]simplify: iters left: 5 (19 enodes) 1545561406.858 * * [misc]simplify: iters left: 4 (28 enodes) 1545561406.862 * * [misc]simplify: iters left: 3 (42 enodes) 1545561406.868 * * [misc]simplify: iters left: 2 (68 enodes) 1545561406.880 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561406.880 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561406.880 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561406.880 * * [misc]simplify: iters left: 6 (11 enodes) 1545561406.884 * * [misc]simplify: iters left: 5 (14 enodes) 1545561406.889 * * [misc]simplify: iters left: 4 (17 enodes) 1545561406.894 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561406.894 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561406.894 * * * * [misc]progress: [ 45 / 147 ] simplifiying candidate # 1545561406.894 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.895 * * [misc]simplify: iters left: 6 (13 enodes) 1545561406.899 * * [misc]simplify: iters left: 5 (18 enodes) 1545561406.905 * * [misc]simplify: iters left: 4 (21 enodes) 1545561406.911 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.912 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561406.912 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561406.912 * * [misc]simplify: iters left: 6 (12 enodes) 1545561406.915 * * [misc]simplify: iters left: 5 (15 enodes) 1545561406.920 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.925 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561406.925 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545561406.925 * * * * [misc]progress: [ 46 / 147 ] simplifiying candidate # 1545561406.926 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561406.926 * * [misc]simplify: iters left: 6 (12 enodes) 1545561406.929 * * [misc]simplify: iters left: 5 (15 enodes) 1545561406.934 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.939 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561406.939 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561406.939 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561406.939 * * [misc]simplify: iters left: 6 (12 enodes) 1545561406.943 * * [misc]simplify: iters left: 5 (15 enodes) 1545561406.947 * * [misc]simplify: iters left: 4 (18 enodes) 1545561406.952 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561406.952 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545561406.952 * * * * [misc]progress: [ 47 / 147 ] simplifiying candidate # 1545561406.953 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1545561406.953 * * [misc]simplify: iters left: 6 (11 enodes) 1545561406.956 * * [misc]simplify: iters left: 5 (16 enodes) 1545561406.961 * * [misc]simplify: iters left: 4 (21 enodes) 1545561406.966 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561406.966 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561406.967 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561406.967 * * [misc]simplify: iters left: 6 (11 enodes) 1545561406.970 * * [misc]simplify: iters left: 5 (14 enodes) 1545561406.975 * * [misc]simplify: iters left: 4 (17 enodes) 1545561406.980 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561406.980 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545561406.980 * * * * [misc]progress: [ 48 / 147 ] simplifiying candidate # 1545561406.980 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561406.980 * * [misc]simplify: iters left: 6 (6 enodes) 1545561406.982 * * [misc]simplify: iters left: 5 (10 enodes) 1545561406.984 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545561406.984 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561406.984 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561406.984 * * [misc]simplify: iters left: 6 (11 enodes) 1545561406.986 * * [misc]simplify: iters left: 5 (14 enodes) 1545561406.988 * * [misc]simplify: iters left: 4 (17 enodes) 1545561406.990 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561406.990 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545561406.991 * * * * [misc]progress: [ 49 / 147 ] simplifiying candidate # 1545561406.991 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545561406.991 * * [misc]simplify: iters left: 4 (5 enodes) 1545561406.991 * * [misc]simplify: iters left: 3 (7 enodes) 1545561406.992 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545561406.992 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561406.992 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561406.993 * * [misc]simplify: iters left: 6 (11 enodes) 1545561406.994 * * [misc]simplify: iters left: 5 (14 enodes) 1545561406.996 * * [misc]simplify: iters left: 4 (17 enodes) 1545561406.999 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561406.999 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545561406.999 * * * * [misc]progress: [ 50 / 147 ] simplifiying candidate # 1545561406.999 * [enter]simplify: Simplifying (/ 1 1) 1545561406.999 * * [misc]simplify: iters left: 2 (2 enodes) 1545561406.999 * * [misc]simplify: iters left: 1 (4 enodes) 1545561407.000 * [exit]simplify: Simplified to 1 1545561407.000 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561407.000 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561407.000 * * [misc]simplify: iters left: 6 (10 enodes) 1545561407.002 * * [misc]simplify: iters left: 5 (13 enodes) 1545561407.004 * * [misc]simplify: iters left: 4 (16 enodes) 1545561407.006 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561407.006 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561407.006 * * * * [misc]progress: [ 51 / 147 ] simplifiying candidate # 1545561407.006 * * * * [misc]progress: [ 52 / 147 ] simplifiying candidate # 1545561407.006 * * * * [misc]progress: [ 53 / 147 ] simplifiying candidate # 1545561407.006 * * * * [misc]progress: [ 54 / 147 ] simplifiying candidate # 1545561407.006 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545561407.006 * * [misc]simplify: iters left: 2 (3 enodes) 1545561407.007 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545561407.007 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1545561407.007 * * * * [misc]progress: [ 55 / 147 ] simplifiying candidate # 1545561407.007 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545561407.007 * * [misc]simplify: iters left: 2 (3 enodes) 1545561407.007 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545561407.007 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1545561407.007 * * * * [misc]progress: [ 56 / 147 ] simplifiying candidate # 1545561407.008 * [enter]simplify: Simplifying (sqrt k) 1545561407.008 * * [misc]simplify: iters left: 1 (2 enodes) 1545561407.008 * [exit]simplify: Simplified to (sqrt k) 1545561407.008 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1545561407.008 * * * * [misc]progress: [ 57 / 147 ] simplifiying candidate # 1545561407.008 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545561407.008 * * [misc]simplify: iters left: 3 (5 enodes) 1545561407.009 * * [misc]simplify: iters left: 2 (7 enodes) 1545561407.010 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561407.010 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545561407.010 * * * * [misc]progress: [ 58 / 147 ] simplifiying candidate # 1545561407.010 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545561407.010 * * [misc]simplify: iters left: 3 (5 enodes) 1545561407.011 * * [misc]simplify: iters left: 2 (7 enodes) 1545561407.012 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561407.012 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545561407.012 * * * * [misc]progress: [ 59 / 147 ] simplifiying candidate # 1545561407.012 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545561407.012 * * [misc]simplify: iters left: 5 (7 enodes) 1545561407.015 * * [misc]simplify: iters left: 4 (9 enodes) 1545561407.016 * * [misc]simplify: iters left: 3 (12 enodes) 1545561407.018 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561407.018 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545561407.018 * * * * [misc]progress: [ 60 / 147 ] simplifiying candidate # 1545561407.019 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561407.019 * * [misc]simplify: iters left: 6 (10 enodes) 1545561407.022 * * [misc]simplify: iters left: 5 (13 enodes) 1545561407.026 * * [misc]simplify: iters left: 4 (16 enodes) 1545561407.031 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545561407.032 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561407.032 * * * * [misc]progress: [ 61 / 147 ] simplifiying candidate # 1545561407.032 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561407.032 * * [misc]simplify: iters left: 6 (9 enodes) 1545561407.035 * * [misc]simplify: iters left: 5 (12 enodes) 1545561407.039 * * [misc]simplify: iters left: 4 (15 enodes) 1545561407.043 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561407.043 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561407.044 * * * * [misc]progress: [ 62 / 147 ] simplifiying candidate # 1545561407.044 * * * * [misc]progress: [ 63 / 147 ] simplifiying candidate # 1545561407.044 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545561407.044 * * [misc]simplify: iters left: 3 (5 enodes) 1545561407.046 * * [misc]simplify: iters left: 2 (7 enodes) 1545561407.047 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545561407.047 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1545561407.048 * * * * [misc]progress: [ 64 / 147 ] simplifiying candidate # 1545561407.048 * * * * [misc]progress: [ 65 / 147 ] simplifiying candidate # 1545561407.048 * * * * [misc]progress: [ 66 / 147 ] simplifiying candidate # 1545561407.048 * [enter]simplify: Simplifying (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561407.048 * * [misc]simplify: iters left: 6 (15 enodes) 1545561407.053 * * [misc]simplify: iters left: 5 (25 enodes) 1545561407.060 * * [misc]simplify: iters left: 4 (38 enodes) 1545561407.072 * * [misc]simplify: iters left: 3 (58 enodes) 1545561407.090 * * [misc]simplify: iters left: 2 (113 enodes) 1545561407.120 * * [misc]simplify: iters left: 1 (187 enodes) 1545561407.153 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1545561407.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1)) 1545561407.154 * * * * [misc]progress: [ 67 / 147 ] simplifiying candidate # 1545561407.154 * * * * [misc]progress: [ 68 / 147 ] simplifiying candidate # 1545561407.154 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545561407.154 * * [misc]simplify: iters left: 6 (16 enodes) 1545561407.160 * * [misc]simplify: iters left: 5 (31 enodes) 1545561407.172 * * [misc]simplify: iters left: 4 (66 enodes) 1545561407.205 * * [misc]simplify: iters left: 3 (212 enodes) 1545561407.318 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561407.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561407.318 * * * * [misc]progress: [ 69 / 147 ] simplifiying candidate # 1545561407.318 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545561407.318 * * [misc]simplify: iters left: 6 (16 enodes) 1545561407.321 * * [misc]simplify: iters left: 5 (31 enodes) 1545561407.327 * * [misc]simplify: iters left: 4 (66 enodes) 1545561407.347 * * [misc]simplify: iters left: 3 (212 enodes) 1545561407.493 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561407.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561407.494 * * * * [misc]progress: [ 70 / 147 ] simplifiying candidate # 1545561407.494 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545561407.494 * * [misc]simplify: iters left: 6 (16 enodes) 1545561407.500 * * [misc]simplify: iters left: 5 (28 enodes) 1545561407.510 * * [misc]simplify: iters left: 4 (55 enodes) 1545561407.533 * * [misc]simplify: iters left: 3 (129 enodes) 1545561407.605 * * [misc]simplify: iters left: 2 (441 enodes) 1545561408.064 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545561408.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545561408.064 * * * * [misc]progress: [ 71 / 147 ] simplifiying candidate # 1545561408.064 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561408.064 * * [misc]simplify: iters left: 6 (15 enodes) 1545561408.069 * * [misc]simplify: iters left: 5 (24 enodes) 1545561408.077 * * [misc]simplify: iters left: 4 (42 enodes) 1545561408.094 * * [misc]simplify: iters left: 3 (90 enodes) 1545561408.120 * * [misc]simplify: iters left: 2 (207 enodes) 1545561408.224 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561408.224 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561408.225 * * * * [misc]progress: [ 72 / 147 ] simplifiying candidate # 1545561408.225 * * * * [misc]progress: [ 73 / 147 ] simplifiying candidate # 1545561408.225 * * * * [misc]progress: [ 74 / 147 ] simplifiying candidate # 1545561408.225 * [enter]simplify: Simplifying (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1545561408.225 * * [misc]simplify: iters left: 6 (21 enodes) 1545561408.229 * * [misc]simplify: iters left: 5 (45 enodes) 1545561408.238 * * [misc]simplify: iters left: 4 (138 enodes) 1545561408.321 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) k) (pow (pow PI (- 1/2 (/ k 2))) 3))) 1545561408.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) k) (pow (pow PI (- 1/2 (/ k 2))) 3))))) 1545561408.321 * * * * [misc]progress: [ 75 / 147 ] simplifiying candidate # 1545561408.322 * [enter]simplify: Simplifying (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561408.322 * * [misc]simplify: iters left: 6 (19 enodes) 1545561408.329 * * [misc]simplify: iters left: 5 (41 enodes) 1545561408.339 * * [misc]simplify: iters left: 4 (115 enodes) 1545561408.373 * * [misc]simplify: iters left: 3 (321 enodes) 1545561408.593 * [exit]simplify: Simplified to (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1545561408.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561408.593 * * * * [misc]progress: [ 76 / 147 ] simplifiying candidate # 1545561408.593 * * * * [misc]progress: [ 77 / 147 ] simplifiying candidate # 1545561408.593 * * * * [misc]progress: [ 78 / 147 ] simplifiying candidate # 1545561408.593 * * * * [misc]progress: [ 79 / 147 ] simplifiying candidate # 1545561408.593 * * * * [misc]progress: [ 80 / 147 ] simplifiying candidate # 1545561408.594 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561408.594 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.597 * * [misc]simplify: iters left: 5 (14 enodes) 1545561408.602 * * [misc]simplify: iters left: 4 (17 enodes) 1545561408.607 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561408.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.607 * * * * [misc]progress: [ 81 / 147 ] simplifiying candidate # 1545561408.608 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561408.608 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.609 * * [misc]simplify: iters left: 5 (14 enodes) 1545561408.612 * * [misc]simplify: iters left: 4 (17 enodes) 1545561408.614 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545561408.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.614 * * * * [misc]progress: [ 82 / 147 ] simplifiying candidate # 1545561408.614 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561408.615 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.616 * * [misc]simplify: iters left: 5 (13 enodes) 1545561408.618 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561408.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545561408.618 * * * * [misc]progress: [ 83 / 147 ] simplifiying candidate # 1545561408.618 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561408.618 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.620 * * [misc]simplify: iters left: 5 (13 enodes) 1545561408.622 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561408.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545561408.622 * * * * [misc]progress: [ 84 / 147 ] simplifiying candidate # 1545561408.622 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561408.622 * * [misc]simplify: iters left: 6 (9 enodes) 1545561408.624 * * [misc]simplify: iters left: 5 (12 enodes) 1545561408.625 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561408.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545561408.625 * * * * [misc]progress: [ 85 / 147 ] simplifiying candidate # 1545561408.626 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545561408.626 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.627 * * [misc]simplify: iters left: 5 (13 enodes) 1545561408.629 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545561408.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545561408.629 * * * * [misc]progress: [ 86 / 147 ] simplifiying candidate # 1545561408.629 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545561408.629 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.631 * * [misc]simplify: iters left: 5 (13 enodes) 1545561408.633 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545561408.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545561408.633 * * * * [misc]progress: [ 87 / 147 ] simplifiying candidate # 1545561408.633 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561408.633 * * [misc]simplify: iters left: 6 (9 enodes) 1545561408.634 * * [misc]simplify: iters left: 5 (12 enodes) 1545561408.636 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545561408.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545561408.636 * * * * [misc]progress: [ 88 / 147 ] simplifiying candidate # 1545561408.636 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561408.636 * * [misc]simplify: iters left: 6 (9 enodes) 1545561408.638 * * [misc]simplify: iters left: 5 (11 enodes) 1545561408.640 * * [misc]simplify: iters left: 4 (14 enodes) 1545561408.644 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561408.644 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561408.644 * * * * [misc]progress: [ 89 / 147 ] simplifiying candidate # 1545561408.644 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561408.644 * * [misc]simplify: iters left: 6 (9 enodes) 1545561408.647 * * [misc]simplify: iters left: 5 (11 enodes) 1545561408.650 * * [misc]simplify: iters left: 4 (14 enodes) 1545561408.654 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561408.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561408.655 * * * * [misc]progress: [ 90 / 147 ] simplifiying candidate # 1545561408.655 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561408.655 * * [misc]simplify: iters left: 6 (8 enodes) 1545561408.657 * * [misc]simplify: iters left: 5 (10 enodes) 1545561408.660 * * [misc]simplify: iters left: 4 (13 enodes) 1545561408.665 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545561408.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1545561408.665 * * * * [misc]progress: [ 91 / 147 ] simplifiying candidate # 1545561408.665 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561408.665 * * [misc]simplify: iters left: 6 (12 enodes) 1545561408.672 * * [misc]simplify: iters left: 5 (15 enodes) 1545561408.676 * * [misc]simplify: iters left: 4 (18 enodes) 1545561408.681 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561408.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561408.681 * * * * [misc]progress: [ 92 / 147 ] simplifiying candidate # 1545561408.682 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561408.682 * * [misc]simplify: iters left: 6 (12 enodes) 1545561408.685 * * [misc]simplify: iters left: 5 (15 enodes) 1545561408.690 * * [misc]simplify: iters left: 4 (18 enodes) 1545561408.695 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561408.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561408.695 * * * * [misc]progress: [ 93 / 147 ] simplifiying candidate # 1545561408.696 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561408.696 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.699 * * [misc]simplify: iters left: 5 (14 enodes) 1545561408.704 * * [misc]simplify: iters left: 4 (17 enodes) 1545561408.709 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561408.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561408.709 * * * * [misc]progress: [ 94 / 147 ] simplifiying candidate # 1545561408.709 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561408.709 * * [misc]simplify: iters left: 6 (12 enodes) 1545561408.713 * * [misc]simplify: iters left: 5 (15 enodes) 1545561408.716 * * [misc]simplify: iters left: 4 (18 enodes) 1545561408.719 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545561408.719 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545561408.719 * * * * [misc]progress: [ 95 / 147 ] simplifiying candidate # 1545561408.719 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561408.719 * * [misc]simplify: iters left: 6 (12 enodes) 1545561408.721 * * [misc]simplify: iters left: 5 (15 enodes) 1545561408.723 * * [misc]simplify: iters left: 4 (18 enodes) 1545561408.726 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561408.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545561408.726 * * * * [misc]progress: [ 96 / 147 ] simplifiying candidate # 1545561408.726 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561408.726 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.728 * * [misc]simplify: iters left: 5 (14 enodes) 1545561408.730 * * [misc]simplify: iters left: 4 (17 enodes) 1545561408.732 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545561408.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545561408.732 * * * * [misc]progress: [ 97 / 147 ] simplifiying candidate # 1545561408.733 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561408.733 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.734 * * [misc]simplify: iters left: 5 (14 enodes) 1545561408.736 * * [misc]simplify: iters left: 4 (17 enodes) 1545561408.739 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561408.739 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561408.739 * * * * [misc]progress: [ 98 / 147 ] simplifiying candidate # 1545561408.739 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561408.739 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.741 * * [misc]simplify: iters left: 5 (14 enodes) 1545561408.743 * * [misc]simplify: iters left: 4 (17 enodes) 1545561408.745 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561408.745 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561408.745 * * * * [misc]progress: [ 99 / 147 ] simplifiying candidate # 1545561408.745 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561408.745 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.747 * * [misc]simplify: iters left: 5 (13 enodes) 1545561408.751 * * [misc]simplify: iters left: 4 (16 enodes) 1545561408.756 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561408.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561408.756 * * * * [misc]progress: [ 100 / 147 ] simplifiying candidate # 1545561408.756 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561408.756 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.759 * * [misc]simplify: iters left: 5 (13 enodes) 1545561408.764 * * [misc]simplify: iters left: 4 (16 enodes) 1545561408.768 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561408.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561408.769 * * * * [misc]progress: [ 101 / 147 ] simplifiying candidate # 1545561408.769 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545561408.769 * * [misc]simplify: iters left: 3 (4 enodes) 1545561408.770 * * [misc]simplify: iters left: 2 (6 enodes) 1545561408.772 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545561408.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1545561408.772 * * * * [misc]progress: [ 102 / 147 ] simplifiying candidate # 1545561408.772 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545561408.772 * * [misc]simplify: iters left: 4 (5 enodes) 1545561408.774 * * [misc]simplify: iters left: 3 (9 enodes) 1545561408.776 * * [misc]simplify: iters left: 2 (11 enodes) 1545561408.780 * * [misc]simplify: iters left: 1 (13 enodes) 1545561408.783 * [exit]simplify: Simplified to (sqrt PI) 1545561408.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.783 * * * * [misc]progress: [ 103 / 147 ] simplifiying candidate # 1545561408.784 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545561408.784 * * [misc]simplify: iters left: 4 (5 enodes) 1545561408.786 * * [misc]simplify: iters left: 3 (9 enodes) 1545561408.788 * * [misc]simplify: iters left: 2 (11 enodes) 1545561408.792 * * [misc]simplify: iters left: 1 (13 enodes) 1545561408.795 * [exit]simplify: Simplified to (sqrt PI) 1545561408.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.795 * * * * [misc]progress: [ 104 / 147 ] simplifiying candidate # 1545561408.796 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545561408.796 * * [misc]simplify: iters left: 4 (5 enodes) 1545561408.801 * * [misc]simplify: iters left: 3 (8 enodes) 1545561408.804 * * [misc]simplify: iters left: 2 (9 enodes) 1545561408.806 * * [misc]simplify: iters left: 1 (12 enodes) 1545561408.808 * [exit]simplify: Simplified to (sqrt PI) 1545561408.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.808 * * * * [misc]progress: [ 105 / 147 ] simplifiying candidate # 1545561408.808 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545561408.808 * * [misc]simplify: iters left: 4 (5 enodes) 1545561408.809 * * [misc]simplify: iters left: 3 (8 enodes) 1545561408.811 * * [misc]simplify: iters left: 2 (9 enodes) 1545561408.812 * * [misc]simplify: iters left: 1 (12 enodes) 1545561408.814 * [exit]simplify: Simplified to (sqrt PI) 1545561408.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.815 * * * * [misc]progress: [ 106 / 147 ] simplifiying candidate # 1545561408.815 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1545561408.815 * * [misc]simplify: iters left: 6 (11 enodes) 1545561408.817 * * [misc]simplify: iters left: 5 (17 enodes) 1545561408.819 * * [misc]simplify: iters left: 4 (26 enodes) 1545561408.824 * * [misc]simplify: iters left: 3 (44 enodes) 1545561408.831 * * [misc]simplify: iters left: 2 (85 enodes) 1545561408.851 * * [misc]simplify: iters left: 1 (125 enodes) 1545561408.879 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545561408.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.879 * * * * [misc]progress: [ 107 / 147 ] simplifiying candidate # 1545561408.879 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1545561408.879 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.883 * * [misc]simplify: iters left: 5 (16 enodes) 1545561408.888 * * [misc]simplify: iters left: 4 (25 enodes) 1545561408.896 * * [misc]simplify: iters left: 3 (43 enodes) 1545561408.909 * * [misc]simplify: iters left: 2 (84 enodes) 1545561408.936 * * [misc]simplify: iters left: 1 (124 enodes) 1545561408.964 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545561408.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545561408.964 * * * * [misc]progress: [ 108 / 147 ] simplifiying candidate # 1545561408.964 * * * * [misc]progress: [ 109 / 147 ] simplifiying candidate # 1545561408.964 * [enter]simplify: Simplifying (sqrt k) 1545561408.964 * * [misc]simplify: iters left: 1 (2 enodes) 1545561408.965 * [exit]simplify: Simplified to (sqrt k) 1545561408.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561408.965 * * * * [misc]progress: [ 110 / 147 ] simplifiying candidate # 1545561408.965 * * * * [misc]progress: [ 111 / 147 ] simplifiying candidate # 1545561408.965 * * * * [misc]progress: [ 112 / 147 ] simplifiying candidate # 1545561408.965 * * * * [misc]progress: [ 113 / 147 ] simplifiying candidate # 1545561408.965 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1545561408.966 * * [misc]simplify: iters left: 6 (8 enodes) 1545561408.968 * * [misc]simplify: iters left: 5 (11 enodes) 1545561408.972 * * [misc]simplify: iters left: 4 (20 enodes) 1545561408.977 * * [misc]simplify: iters left: 3 (32 enodes) 1545561408.982 * * [misc]simplify: iters left: 2 (49 enodes) 1545561408.989 * * [misc]simplify: iters left: 1 (59 enodes) 1545561408.996 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1545561408.996 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561408.996 * * * * [misc]progress: [ 114 / 147 ] simplifiying candidate # 1545561408.996 * * * * [misc]progress: [ 115 / 147 ] simplifiying candidate # 1545561408.996 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1545561408.996 * * [misc]simplify: iters left: 6 (10 enodes) 1545561408.998 * * [misc]simplify: iters left: 5 (13 enodes) 1545561409.000 * * [misc]simplify: iters left: 4 (16 enodes) 1545561409.002 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1545561409.002 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.002 * * * * [misc]progress: [ 116 / 147 ] simplifiying candidate # 1545561409.002 * * * * [misc]progress: [ 117 / 147 ] simplifiying candidate # 1545561409.002 * * * * [misc]progress: [ 118 / 147 ] simplifiying candidate # 1545561409.002 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1545561409.002 * * [misc]simplify: iters left: 6 (12 enodes) 1545561409.004 * * [misc]simplify: iters left: 5 (21 enodes) 1545561409.010 * * [misc]simplify: iters left: 4 (67 enodes) 1545561409.056 * * [misc]simplify: iters left: 3 (327 enodes) 1545561409.423 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1545561409.423 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.423 * * * * [misc]progress: [ 119 / 147 ] simplifiying candidate # 1545561409.423 * * * * [misc]progress: [ 120 / 147 ] simplifiying candidate # 1545561409.423 * * * * [misc]progress: [ 121 / 147 ] simplifiying candidate # 1545561409.423 * * * * [misc]progress: [ 122 / 147 ] simplifiying candidate # 1545561409.423 * * * * [misc]progress: [ 123 / 147 ] simplifiying candidate # 1545561409.423 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545561409.424 * * [misc]simplify: iters left: 6 (7 enodes) 1545561409.426 * * [misc]simplify: iters left: 5 (12 enodes) 1545561409.430 * * [misc]simplify: iters left: 4 (22 enodes) 1545561409.437 * * [misc]simplify: iters left: 3 (35 enodes) 1545561409.446 * * [misc]simplify: iters left: 2 (42 enodes) 1545561409.461 * * [misc]simplify: iters left: 1 (47 enodes) 1545561409.473 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545561409.473 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.473 * * * * [misc]progress: [ 124 / 147 ] simplifiying candidate # 1545561409.474 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545561409.474 * * [misc]simplify: iters left: 6 (7 enodes) 1545561409.476 * * [misc]simplify: iters left: 5 (12 enodes) 1545561409.478 * * [misc]simplify: iters left: 4 (22 enodes) 1545561409.481 * * [misc]simplify: iters left: 3 (35 enodes) 1545561409.485 * * [misc]simplify: iters left: 2 (42 enodes) 1545561409.491 * * [misc]simplify: iters left: 1 (47 enodes) 1545561409.497 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545561409.497 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.497 * * * * [misc]progress: [ 125 / 147 ] simplifiying candidate # 1545561409.497 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545561409.497 * * [misc]simplify: iters left: 6 (7 enodes) 1545561409.498 * * [misc]simplify: iters left: 5 (12 enodes) 1545561409.500 * * [misc]simplify: iters left: 4 (22 enodes) 1545561409.503 * * [misc]simplify: iters left: 3 (32 enodes) 1545561409.508 * * [misc]simplify: iters left: 2 (36 enodes) 1545561409.516 * * [misc]simplify: iters left: 1 (43 enodes) 1545561409.527 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545561409.527 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.527 * * * * [misc]progress: [ 126 / 147 ] simplifiying candidate # 1545561409.527 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545561409.527 * * [misc]simplify: iters left: 6 (7 enodes) 1545561409.529 * * [misc]simplify: iters left: 5 (12 enodes) 1545561409.533 * * [misc]simplify: iters left: 4 (22 enodes) 1545561409.539 * * [misc]simplify: iters left: 3 (32 enodes) 1545561409.546 * * [misc]simplify: iters left: 2 (36 enodes) 1545561409.551 * * [misc]simplify: iters left: 1 (43 enodes) 1545561409.558 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545561409.558 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.558 * * * * [misc]progress: [ 127 / 147 ] simplifiying candidate # 1545561409.558 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561409.558 * * [misc]simplify: iters left: 5 (6 enodes) 1545561409.559 * * [misc]simplify: iters left: 4 (8 enodes) 1545561409.561 * * [misc]simplify: iters left: 3 (11 enodes) 1545561409.562 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561409.562 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.562 * * * * [misc]progress: [ 128 / 147 ] simplifiying candidate # 1545561409.562 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561409.562 * * [misc]simplify: iters left: 5 (6 enodes) 1545561409.563 * * [misc]simplify: iters left: 4 (8 enodes) 1545561409.565 * * [misc]simplify: iters left: 3 (11 enodes) 1545561409.566 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561409.566 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.566 * * * * [misc]progress: [ 129 / 147 ] simplifiying candidate # 1545561409.566 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561409.566 * * [misc]simplify: iters left: 4 (5 enodes) 1545561409.567 * * [misc]simplify: iters left: 3 (7 enodes) 1545561409.568 * * [misc]simplify: iters left: 2 (10 enodes) 1545561409.570 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561409.570 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.570 * * * * [misc]progress: [ 130 / 147 ] simplifiying candidate # 1545561409.570 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1545561409.570 * * [misc]simplify: iters left: 4 (4 enodes) 1545561409.570 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1545561409.570 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.570 * * * * [misc]progress: [ 131 / 147 ] simplifiying candidate # 1545561409.571 * [enter]simplify: Simplifying (sqrt (log PI)) 1545561409.571 * * [misc]simplify: iters left: 2 (3 enodes) 1545561409.571 * [exit]simplify: Simplified to (sqrt (log PI)) 1545561409.571 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.571 * * * * [misc]progress: [ 132 / 147 ] simplifiying candidate # 1545561409.571 * * * * [misc]progress: [ 133 / 147 ] simplifiying candidate # 1545561409.571 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1545561409.571 * * [misc]simplify: iters left: 6 (9 enodes) 1545561409.574 * * [misc]simplify: iters left: 5 (25 enodes) 1545561409.578 * * [misc]simplify: iters left: 4 (44 enodes) 1545561409.591 * * [misc]simplify: iters left: 3 (64 enodes) 1545561409.600 * * [misc]simplify: iters left: 2 (85 enodes) 1545561409.611 * * [misc]simplify: iters left: 1 (112 enodes) 1545561409.643 * [exit]simplify: Simplified to (fma k (fma k 1/4 1/4) 1/4) 1545561409.644 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (fma k (fma k 1/4 1/4) 1/4))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.644 * * * * [misc]progress: [ 134 / 147 ] simplifiying candidate # 1545561409.644 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1545561409.644 * * [misc]simplify: iters left: 4 (5 enodes) 1545561409.646 * * [misc]simplify: iters left: 3 (6 enodes) 1545561409.647 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1545561409.647 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561409.647 * * * * [misc]progress: [ 135 / 147 ] simplifiying candidate # 1545561409.647 * * * * [misc]progress: [ 136 / 147 ] simplifiying candidate # 1545561409.648 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545561409.648 * * [misc]simplify: iters left: 6 (35 enodes) 1545561409.663 * * [misc]simplify: iters left: 5 (102 enodes) 1545561409.708 * * [misc]simplify: iters left: 4 (321 enodes) 1545561409.913 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545561409.913 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) (sqrt k)))) 1545561409.913 * * * * [misc]progress: [ 137 / 147 ] simplifiying candidate # 1545561409.914 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545561409.914 * * [misc]simplify: iters left: 6 (13 enodes) 1545561409.920 * * [misc]simplify: iters left: 5 (27 enodes) 1545561409.929 * * [misc]simplify: iters left: 4 (53 enodes) 1545561409.948 * * [misc]simplify: iters left: 3 (124 enodes) 1545561410.019 * * [misc]simplify: iters left: 2 (394 enodes) 1545561410.513 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545561410.513 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) 1545561410.513 * * * * [misc]progress: [ 138 / 147 ] simplifiying candidate # 1545561410.514 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545561410.514 * * [misc]simplify: iters left: 6 (13 enodes) 1545561410.517 * * [misc]simplify: iters left: 5 (24 enodes) 1545561410.522 * * [misc]simplify: iters left: 4 (54 enodes) 1545561410.535 * * [misc]simplify: iters left: 3 (151 enodes) 1545561410.618 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545561410.618 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k)))) 1545561410.618 * * * * [misc]progress: [ 139 / 147 ] simplifiying candidate # 1545561410.618 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545561410.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1545561410.618 * * * * [misc]progress: [ 140 / 147 ] simplifiying candidate # 1545561410.618 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561410.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1545561410.618 * * * * [misc]progress: [ 141 / 147 ] simplifiying candidate # 1545561410.618 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545561410.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1545561410.619 * * * * [misc]progress: [ 142 / 147 ] simplifiying candidate # 1545561410.619 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545561410.619 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561410.619 * * * * [misc]progress: [ 143 / 147 ] simplifiying candidate # 1545561410.619 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545561410.619 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561410.619 * * * * [misc]progress: [ 144 / 147 ] simplifiying candidate # 1545561410.619 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561410.619 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561410.619 * * * * [misc]progress: [ 145 / 147 ] simplifiying candidate # 1545561410.619 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561410.619 * * [misc]simplify: iters left: 6 (8 enodes) 1545561410.621 * * [misc]simplify: iters left: 5 (17 enodes) 1545561410.624 * * [misc]simplify: iters left: 4 (38 enodes) 1545561410.631 * * [misc]simplify: iters left: 3 (68 enodes) 1545561410.653 * * [misc]simplify: iters left: 2 (90 enodes) 1545561410.676 * * [misc]simplify: iters left: 1 (105 enodes) 1545561410.704 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1545561410.704 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (fma k -1/2 1/2) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561410.704 * * * * [misc]progress: [ 146 / 147 ] simplifiying candidate # 1545561410.704 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561410.704 * * [misc]simplify: iters left: 6 (8 enodes) 1545561410.705 * * [misc]simplify: iters left: 5 (17 enodes) 1545561410.709 * * [misc]simplify: iters left: 4 (38 enodes) 1545561410.716 * * [misc]simplify: iters left: 3 (68 enodes) 1545561410.732 * * [misc]simplify: iters left: 2 (90 enodes) 1545561410.757 * * [misc]simplify: iters left: 1 (105 enodes) 1545561410.806 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1545561410.806 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (fma k -1/2 1/2) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561410.806 * * * * [misc]progress: [ 147 / 147 ] simplifiying candidate # 1545561410.807 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561410.807 * * [misc]simplify: iters left: 6 (8 enodes) 1545561410.810 * * [misc]simplify: iters left: 5 (17 enodes) 1545561410.817 * * [misc]simplify: iters left: 4 (38 enodes) 1545561410.826 * * [misc]simplify: iters left: 3 (68 enodes) 1545561410.836 * * [misc]simplify: iters left: 2 (90 enodes) 1545561410.849 * * [misc]simplify: iters left: 1 (105 enodes) 1545561410.878 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1545561410.878 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (fma k -1/2 1/2) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561410.878 * * * [misc]progress: adding candidates to table 1545561413.354 * * [misc]progress: iteration 4 / 4 1545561413.354 * * * [misc]progress: picking best candidate 1545561413.413 * * * * [misc]pick: Picked # 1545561413.413 * * * [misc]progress: localizing error 1545561413.426 * * * [misc]progress: generating rewritten candidates 1545561413.426 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1545561413.429 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1545561413.452 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545561413.475 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) 1545561413.485 * * * [misc]progress: generating series expansions 1545561413.485 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1545561413.485 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545561413.485 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545561413.485 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.485 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.485 * [misc]taylor: Taking taylor expansion of k in k 1545561413.485 * [misc]backup-simplify: Simplify 0 into 0 1545561413.485 * [misc]backup-simplify: Simplify 1 into 1 1545561413.485 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561413.485 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.485 * [misc]backup-simplify: Simplify 2 into 2 1545561413.485 * [misc]taylor: Taking taylor expansion of n in k 1545561413.485 * [misc]backup-simplify: Simplify n into n 1545561413.485 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561413.486 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561413.486 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.486 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.486 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.486 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561413.486 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561413.486 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561413.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561413.487 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561413.487 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561413.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.487 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561413.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.487 * [misc]taylor: Taking taylor expansion of k in n 1545561413.487 * [misc]backup-simplify: Simplify k into k 1545561413.487 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.487 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.487 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.487 * [misc]backup-simplify: Simplify 2 into 2 1545561413.487 * [misc]taylor: Taking taylor expansion of n in n 1545561413.487 * [misc]backup-simplify: Simplify 0 into 0 1545561413.487 * [misc]backup-simplify: Simplify 1 into 1 1545561413.487 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.487 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.487 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.488 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561413.488 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561413.488 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561413.488 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.488 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561413.489 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561413.489 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.489 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.489 * [misc]taylor: Taking taylor expansion of k in n 1545561413.489 * [misc]backup-simplify: Simplify k into k 1545561413.489 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.489 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.489 * [misc]backup-simplify: Simplify 2 into 2 1545561413.489 * [misc]taylor: Taking taylor expansion of n in n 1545561413.489 * [misc]backup-simplify: Simplify 0 into 0 1545561413.489 * [misc]backup-simplify: Simplify 1 into 1 1545561413.489 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.490 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.490 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.490 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561413.490 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561413.490 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561413.490 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.491 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561413.491 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561413.491 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545561413.491 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545561413.491 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545561413.491 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561413.491 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.491 * [misc]backup-simplify: Simplify 2 into 2 1545561413.491 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.491 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561413.491 * [misc]taylor: Taking taylor expansion of n in k 1545561413.492 * [misc]backup-simplify: Simplify n into n 1545561413.492 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561413.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.492 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.492 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.492 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.492 * [misc]taylor: Taking taylor expansion of k in k 1545561413.492 * [misc]backup-simplify: Simplify 0 into 0 1545561413.492 * [misc]backup-simplify: Simplify 1 into 1 1545561413.492 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545561413.492 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.492 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.493 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.493 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545561413.493 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561413.493 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545561413.494 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.496 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.496 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545561413.497 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.497 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.497 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.497 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561413.499 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.499 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.499 * [misc]backup-simplify: Simplify 0 into 0 1545561413.499 * [misc]backup-simplify: Simplify 0 into 0 1545561413.499 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561413.499 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.499 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.502 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.503 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545561413.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.503 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545561413.504 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561413.505 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545561413.505 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561413.510 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561413.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545561413.511 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.511 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.512 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545561413.514 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561413.514 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.514 * [misc]backup-simplify: Simplify 0 into 0 1545561413.514 * [misc]backup-simplify: Simplify 0 into 0 1545561413.514 * [misc]backup-simplify: Simplify 0 into 0 1545561413.514 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.514 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.519 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561413.521 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545561413.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.521 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545561413.523 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561413.525 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545561413.527 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545561413.528 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.528 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545561413.528 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.528 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.528 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of k in k 1545561413.528 * [misc]backup-simplify: Simplify 0 into 0 1545561413.528 * [misc]backup-simplify: Simplify 1 into 1 1545561413.528 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.528 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561413.528 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.528 * [misc]backup-simplify: Simplify 2 into 2 1545561413.528 * [misc]taylor: Taking taylor expansion of n in k 1545561413.528 * [misc]backup-simplify: Simplify n into n 1545561413.528 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561413.528 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561413.528 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.528 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.528 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.529 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561413.529 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.529 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of k in n 1545561413.529 * [misc]backup-simplify: Simplify k into k 1545561413.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.529 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.529 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.529 * [misc]backup-simplify: Simplify 2 into 2 1545561413.529 * [misc]taylor: Taking taylor expansion of n in n 1545561413.529 * [misc]backup-simplify: Simplify 0 into 0 1545561413.529 * [misc]backup-simplify: Simplify 1 into 1 1545561413.529 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.529 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.529 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.529 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.532 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.532 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.532 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.532 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.533 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of k in n 1545561413.533 * [misc]backup-simplify: Simplify k into k 1545561413.533 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.533 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.533 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.533 * [misc]backup-simplify: Simplify 2 into 2 1545561413.533 * [misc]taylor: Taking taylor expansion of n in n 1545561413.533 * [misc]backup-simplify: Simplify 0 into 0 1545561413.533 * [misc]backup-simplify: Simplify 1 into 1 1545561413.533 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.533 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.533 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.533 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.533 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.534 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.534 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.534 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.534 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of k in k 1545561413.534 * [misc]backup-simplify: Simplify 0 into 0 1545561413.534 * [misc]backup-simplify: Simplify 1 into 1 1545561413.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.534 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.534 * [misc]backup-simplify: Simplify 2 into 2 1545561413.534 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.534 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561413.534 * [misc]taylor: Taking taylor expansion of n in k 1545561413.534 * [misc]backup-simplify: Simplify n into n 1545561413.535 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561413.535 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.535 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.535 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.535 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561413.535 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545561413.535 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545561413.535 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.536 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561413.537 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.537 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.538 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.538 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.538 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561413.539 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.539 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.539 * [misc]backup-simplify: Simplify 0 into 0 1545561413.539 * [misc]backup-simplify: Simplify 0 into 0 1545561413.539 * [misc]backup-simplify: Simplify 0 into 0 1545561413.539 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.542 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561413.542 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.542 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561413.542 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.543 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545561413.544 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561413.544 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.544 * [misc]backup-simplify: Simplify 0 into 0 1545561413.544 * [misc]backup-simplify: Simplify 0 into 0 1545561413.544 * [misc]backup-simplify: Simplify 0 into 0 1545561413.544 * [misc]backup-simplify: Simplify 0 into 0 1545561413.545 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.549 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545561413.549 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561413.549 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.550 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.550 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545561413.552 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561413.552 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.552 * [misc]backup-simplify: Simplify 0 into 0 1545561413.552 * [misc]backup-simplify: Simplify 0 into 0 1545561413.552 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545561413.552 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.552 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545561413.552 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.552 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561413.552 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561413.552 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.553 * [misc]taylor: Taking taylor expansion of k in k 1545561413.553 * [misc]backup-simplify: Simplify 0 into 0 1545561413.553 * [misc]backup-simplify: Simplify 1 into 1 1545561413.553 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.553 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561413.553 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561413.553 * [misc]taylor: Taking taylor expansion of -2 in k 1545561413.553 * [misc]backup-simplify: Simplify -2 into -2 1545561413.553 * [misc]taylor: Taking taylor expansion of n in k 1545561413.553 * [misc]backup-simplify: Simplify n into n 1545561413.553 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561413.553 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561413.553 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.553 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.553 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561413.553 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.553 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.553 * [misc]taylor: Taking taylor expansion of k in n 1545561413.553 * [misc]backup-simplify: Simplify k into k 1545561413.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.554 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.554 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.554 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.554 * [misc]backup-simplify: Simplify -2 into -2 1545561413.554 * [misc]taylor: Taking taylor expansion of n in n 1545561413.554 * [misc]backup-simplify: Simplify 0 into 0 1545561413.554 * [misc]backup-simplify: Simplify 1 into 1 1545561413.554 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.554 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.554 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.554 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.555 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.555 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of k in n 1545561413.555 * [misc]backup-simplify: Simplify k into k 1545561413.555 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.555 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.555 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.555 * [misc]backup-simplify: Simplify -2 into -2 1545561413.555 * [misc]taylor: Taking taylor expansion of n in n 1545561413.555 * [misc]backup-simplify: Simplify 0 into 0 1545561413.555 * [misc]backup-simplify: Simplify 1 into 1 1545561413.555 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.555 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.555 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.556 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.556 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of k in k 1545561413.556 * [misc]backup-simplify: Simplify 0 into 0 1545561413.556 * [misc]backup-simplify: Simplify 1 into 1 1545561413.556 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.556 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of -2 in k 1545561413.556 * [misc]backup-simplify: Simplify -2 into -2 1545561413.556 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.556 * [misc]taylor: Taking taylor expansion of (log n) in k 1545561413.556 * [misc]taylor: Taking taylor expansion of n in k 1545561413.556 * [misc]backup-simplify: Simplify n into n 1545561413.556 * [misc]backup-simplify: Simplify (log n) into (log n) 1545561413.557 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.557 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.557 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545561413.557 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545561413.557 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545561413.557 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.557 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.558 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561413.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561413.560 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.560 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.560 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.560 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561413.561 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.561 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.561 * [misc]backup-simplify: Simplify 0 into 0 1545561413.561 * [misc]backup-simplify: Simplify 0 into 0 1545561413.561 * [misc]backup-simplify: Simplify 0 into 0 1545561413.562 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.564 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545561413.564 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.564 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561413.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.565 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545561413.566 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561413.566 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.566 * [misc]backup-simplify: Simplify 0 into 0 1545561413.566 * [misc]backup-simplify: Simplify 0 into 0 1545561413.566 * [misc]backup-simplify: Simplify 0 into 0 1545561413.566 * [misc]backup-simplify: Simplify 0 into 0 1545561413.567 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.571 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545561413.571 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.571 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545561413.571 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.572 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545561413.574 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545561413.574 * [misc]taylor: Taking taylor expansion of 0 in k 1545561413.574 * [misc]backup-simplify: Simplify 0 into 0 1545561413.574 * [misc]backup-simplify: Simplify 0 into 0 1545561413.574 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545561413.574 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1545561413.575 * [misc]backup-simplify: Simplify (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545561413.575 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545561413.575 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.575 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.575 * [misc]taylor: Taking taylor expansion of k in n 1545561413.575 * [misc]backup-simplify: Simplify k into k 1545561413.575 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.575 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.575 * [misc]backup-simplify: Simplify 2 into 2 1545561413.575 * [misc]taylor: Taking taylor expansion of n in n 1545561413.575 * [misc]backup-simplify: Simplify 0 into 0 1545561413.575 * [misc]backup-simplify: Simplify 1 into 1 1545561413.575 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.575 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.576 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.576 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561413.576 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561413.576 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561413.576 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.576 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561413.576 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561413.576 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545561413.576 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545561413.576 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545561413.576 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561413.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.576 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561413.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.576 * [misc]taylor: Taking taylor expansion of k in n 1545561413.576 * [misc]backup-simplify: Simplify k into k 1545561413.576 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.577 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.577 * [misc]backup-simplify: Simplify PI into PI 1545561413.577 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.577 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561413.577 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561413.577 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561413.577 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545561413.577 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545561413.577 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545561413.577 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.577 * [misc]taylor: Taking taylor expansion of k in n 1545561413.577 * [misc]backup-simplify: Simplify k into k 1545561413.577 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.577 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545561413.577 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.578 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545561413.578 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.578 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.578 * [misc]taylor: Taking taylor expansion of k in k 1545561413.578 * [misc]backup-simplify: Simplify 0 into 0 1545561413.578 * [misc]backup-simplify: Simplify 1 into 1 1545561413.578 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.578 * [misc]backup-simplify: Simplify 2 into 2 1545561413.578 * [misc]taylor: Taking taylor expansion of n in k 1545561413.578 * [misc]backup-simplify: Simplify n into n 1545561413.578 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561413.578 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561413.578 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.578 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.578 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561413.578 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561413.578 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.578 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.579 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.579 * [misc]taylor: Taking taylor expansion of k in k 1545561413.579 * [misc]backup-simplify: Simplify 0 into 0 1545561413.579 * [misc]backup-simplify: Simplify 1 into 1 1545561413.579 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.579 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.579 * [misc]backup-simplify: Simplify PI into PI 1545561413.579 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.579 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.579 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.579 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.579 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.580 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561413.580 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561413.580 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.580 * [misc]taylor: Taking taylor expansion of k in k 1545561413.580 * [misc]backup-simplify: Simplify 0 into 0 1545561413.580 * [misc]backup-simplify: Simplify 1 into 1 1545561413.580 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.580 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.580 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561413.581 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.581 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.581 * [misc]taylor: Taking taylor expansion of k in k 1545561413.581 * [misc]backup-simplify: Simplify 0 into 0 1545561413.581 * [misc]backup-simplify: Simplify 1 into 1 1545561413.581 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.581 * [misc]backup-simplify: Simplify 2 into 2 1545561413.581 * [misc]taylor: Taking taylor expansion of n in k 1545561413.581 * [misc]backup-simplify: Simplify n into n 1545561413.581 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561413.581 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561413.581 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.581 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.581 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.581 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561413.581 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561413.581 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561413.581 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.582 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.582 * [misc]taylor: Taking taylor expansion of k in k 1545561413.582 * [misc]backup-simplify: Simplify 0 into 0 1545561413.582 * [misc]backup-simplify: Simplify 1 into 1 1545561413.582 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.582 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.582 * [misc]backup-simplify: Simplify PI into PI 1545561413.582 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.582 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.582 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.582 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.582 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.583 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561413.583 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545561413.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.583 * [misc]taylor: Taking taylor expansion of k in k 1545561413.583 * [misc]backup-simplify: Simplify 0 into 0 1545561413.583 * [misc]backup-simplify: Simplify 1 into 1 1545561413.583 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.583 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.583 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561413.584 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545561413.584 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545561413.584 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.584 * [misc]backup-simplify: Simplify 0 into 0 1545561413.584 * [misc]backup-simplify: Simplify 0 into 0 1545561413.585 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.586 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561413.586 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.586 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561413.588 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545561413.588 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545561413.589 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545561413.589 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561413.589 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.589 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.589 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545561413.590 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545561413.591 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545561413.592 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545561413.592 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545561413.592 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561413.592 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.592 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.592 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561413.592 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.592 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.592 * [misc]backup-simplify: Simplify 2 into 2 1545561413.592 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.592 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561413.592 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561413.592 * [misc]taylor: Taking taylor expansion of n in n 1545561413.592 * [misc]backup-simplify: Simplify 0 into 0 1545561413.592 * [misc]backup-simplify: Simplify 1 into 1 1545561413.592 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.592 * [misc]backup-simplify: Simplify PI into PI 1545561413.592 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561413.593 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561413.593 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.593 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.593 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561413.594 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.594 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.594 * [misc]backup-simplify: Simplify 0 into 0 1545561413.594 * [misc]backup-simplify: Simplify 0 into 0 1545561413.594 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561413.595 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561413.597 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561413.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.598 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561413.603 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545561413.603 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545561413.605 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545561413.605 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.605 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.606 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545561413.607 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545561413.610 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545561413.614 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545561413.615 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545561413.615 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545561413.615 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561413.615 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.615 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.615 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561413.615 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561413.615 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.615 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.615 * [misc]backup-simplify: Simplify 2 into 2 1545561413.615 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.616 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.616 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.616 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.616 * [misc]backup-simplify: Simplify PI into PI 1545561413.616 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.616 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.616 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.616 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.616 * [misc]backup-simplify: Simplify PI into PI 1545561413.616 * [misc]taylor: Taking taylor expansion of n in n 1545561413.616 * [misc]backup-simplify: Simplify 0 into 0 1545561413.616 * [misc]backup-simplify: Simplify 1 into 1 1545561413.617 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.617 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.618 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.618 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545561413.618 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561413.618 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561413.618 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.618 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.618 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561413.618 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.618 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.618 * [misc]backup-simplify: Simplify 2 into 2 1545561413.618 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.619 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.619 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561413.619 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561413.619 * [misc]taylor: Taking taylor expansion of n in n 1545561413.619 * [misc]backup-simplify: Simplify 0 into 0 1545561413.619 * [misc]backup-simplify: Simplify 1 into 1 1545561413.619 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.619 * [misc]backup-simplify: Simplify PI into PI 1545561413.619 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561413.620 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561413.620 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.620 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.620 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561413.620 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561413.620 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.620 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.620 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561413.620 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561413.621 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.621 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.621 * [misc]backup-simplify: Simplify 2 into 2 1545561413.621 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.621 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.621 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.621 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.621 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.621 * [misc]backup-simplify: Simplify 2 into 2 1545561413.621 * [misc]taylor: Taking taylor expansion of n in n 1545561413.621 * [misc]backup-simplify: Simplify 0 into 0 1545561413.621 * [misc]backup-simplify: Simplify 1 into 1 1545561413.621 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.622 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.622 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.622 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.622 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.622 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.622 * [misc]backup-simplify: Simplify PI into PI 1545561413.622 * [misc]taylor: Taking taylor expansion of n in n 1545561413.622 * [misc]backup-simplify: Simplify 0 into 0 1545561413.622 * [misc]backup-simplify: Simplify 1 into 1 1545561413.622 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.623 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.623 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.623 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.624 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561413.625 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561413.625 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.625 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561413.626 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.626 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.626 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561413.627 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561413.627 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.627 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.627 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.628 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.628 * [misc]backup-simplify: Simplify 0 into 0 1545561413.629 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561413.631 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561413.632 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561413.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561413.633 * [misc]backup-simplify: Simplify 0 into 0 1545561413.633 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.634 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561413.641 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561413.642 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561413.642 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.644 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561413.651 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545561413.652 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545561413.654 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545561413.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561413.655 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545561413.659 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545561413.664 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545561413.674 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545561413.674 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545561413.674 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545561413.674 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561413.674 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.674 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.674 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561413.674 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561413.674 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.674 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.674 * [misc]backup-simplify: Simplify 2 into 2 1545561413.675 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.675 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.675 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.675 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.675 * [misc]backup-simplify: Simplify PI into PI 1545561413.675 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.675 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.675 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.675 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.675 * [misc]backup-simplify: Simplify PI into PI 1545561413.675 * [misc]taylor: Taking taylor expansion of n in n 1545561413.675 * [misc]backup-simplify: Simplify 0 into 0 1545561413.675 * [misc]backup-simplify: Simplify 1 into 1 1545561413.676 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.676 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.677 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.677 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.677 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545561413.677 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545561413.677 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545561413.677 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.677 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.677 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545561413.677 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545561413.677 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.677 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.677 * [misc]backup-simplify: Simplify 2 into 2 1545561413.678 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.678 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.678 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545561413.678 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.678 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.678 * [misc]backup-simplify: Simplify PI into PI 1545561413.678 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.678 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.678 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.678 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.678 * [misc]backup-simplify: Simplify PI into PI 1545561413.678 * [misc]taylor: Taking taylor expansion of n in n 1545561413.678 * [misc]backup-simplify: Simplify 0 into 0 1545561413.678 * [misc]backup-simplify: Simplify 1 into 1 1545561413.679 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.679 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.679 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.680 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.680 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545561413.680 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545561413.680 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545561413.680 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.680 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.680 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545561413.680 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545561413.680 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.680 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.680 * [misc]backup-simplify: Simplify 2 into 2 1545561413.680 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.681 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.681 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545561413.681 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.681 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.681 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.681 * [misc]backup-simplify: Simplify 2 into 2 1545561413.681 * [misc]taylor: Taking taylor expansion of n in n 1545561413.681 * [misc]backup-simplify: Simplify 0 into 0 1545561413.681 * [misc]backup-simplify: Simplify 1 into 1 1545561413.681 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.681 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.681 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.682 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.682 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.682 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.682 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.682 * [misc]backup-simplify: Simplify PI into PI 1545561413.682 * [misc]taylor: Taking taylor expansion of n in n 1545561413.682 * [misc]backup-simplify: Simplify 0 into 0 1545561413.682 * [misc]backup-simplify: Simplify 1 into 1 1545561413.682 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.683 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.683 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.683 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.684 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.684 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.684 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.684 * [misc]backup-simplify: Simplify 2 into 2 1545561413.684 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.684 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.684 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.684 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.684 * [misc]backup-simplify: Simplify 2 into 2 1545561413.684 * [misc]taylor: Taking taylor expansion of n in n 1545561413.685 * [misc]backup-simplify: Simplify 0 into 0 1545561413.685 * [misc]backup-simplify: Simplify 1 into 1 1545561413.685 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.685 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.685 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.685 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.685 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.685 * [misc]backup-simplify: Simplify PI into PI 1545561413.685 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.686 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561413.686 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561413.686 * [misc]taylor: Taking taylor expansion of n in n 1545561413.686 * [misc]backup-simplify: Simplify 0 into 0 1545561413.686 * [misc]backup-simplify: Simplify 1 into 1 1545561413.686 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.686 * [misc]backup-simplify: Simplify PI into PI 1545561413.686 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561413.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561413.687 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.687 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.687 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545561413.687 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561413.688 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545561413.688 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.688 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.688 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545561413.688 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.688 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.688 * [misc]backup-simplify: Simplify 2 into 2 1545561413.688 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.688 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.688 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545561413.688 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545561413.688 * [misc]taylor: Taking taylor expansion of n in n 1545561413.688 * [misc]backup-simplify: Simplify 0 into 0 1545561413.688 * [misc]backup-simplify: Simplify 1 into 1 1545561413.688 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.688 * [misc]backup-simplify: Simplify PI into PI 1545561413.688 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545561413.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545561413.689 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.690 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.690 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.690 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.690 * [misc]backup-simplify: Simplify 2 into 2 1545561413.690 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.690 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.690 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.690 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.691 * [misc]backup-simplify: Simplify 2 into 2 1545561413.691 * [misc]taylor: Taking taylor expansion of n in n 1545561413.691 * [misc]backup-simplify: Simplify 0 into 0 1545561413.691 * [misc]backup-simplify: Simplify 1 into 1 1545561413.691 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.691 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.691 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.691 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.691 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.691 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.691 * [misc]backup-simplify: Simplify PI into PI 1545561413.691 * [misc]taylor: Taking taylor expansion of n in n 1545561413.691 * [misc]backup-simplify: Simplify 0 into 0 1545561413.691 * [misc]backup-simplify: Simplify 1 into 1 1545561413.692 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.692 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.692 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.693 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.694 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561413.695 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561413.695 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.695 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545561413.696 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545561413.698 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545561413.698 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.698 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.699 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.699 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545561413.699 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545561413.700 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545561413.700 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.701 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545561413.701 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545561413.702 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545561413.703 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.703 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545561413.703 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.703 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.704 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561413.704 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561413.704 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545561413.704 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.705 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.705 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.705 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.706 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.706 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.706 * [misc]backup-simplify: Simplify 0 into 0 1545561413.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.710 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545561413.712 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561413.715 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561413.716 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561413.718 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545561413.718 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.721 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.722 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561413.723 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561413.725 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561413.727 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561413.730 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545561413.734 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545561413.740 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561413.746 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561413.752 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545561413.754 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545561413.755 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545561413.757 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545561413.759 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561413.763 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561413.765 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561413.766 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545561413.776 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545561413.778 * [misc]backup-simplify: Simplify (/ (* (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545561413.778 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545561413.778 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.778 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.778 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of k in n 1545561413.778 * [misc]backup-simplify: Simplify k into k 1545561413.778 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.778 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.778 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.778 * [misc]backup-simplify: Simplify PI into PI 1545561413.779 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.779 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.779 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.779 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.780 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561413.780 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.780 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.780 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of k in n 1545561413.780 * [misc]backup-simplify: Simplify k into k 1545561413.780 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.780 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.780 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.780 * [misc]backup-simplify: Simplify 2 into 2 1545561413.780 * [misc]taylor: Taking taylor expansion of n in n 1545561413.780 * [misc]backup-simplify: Simplify 0 into 0 1545561413.781 * [misc]backup-simplify: Simplify 1 into 1 1545561413.781 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.781 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.781 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.781 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.781 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.782 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.782 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.782 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545561413.782 * [misc]taylor: Taking taylor expansion of k in n 1545561413.782 * [misc]backup-simplify: Simplify k into k 1545561413.782 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545561413.783 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545561413.783 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of k in k 1545561413.783 * [misc]backup-simplify: Simplify 0 into 0 1545561413.783 * [misc]backup-simplify: Simplify 1 into 1 1545561413.783 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.783 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.783 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.783 * [misc]backup-simplify: Simplify PI into PI 1545561413.783 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.784 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.784 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.784 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.784 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561413.784 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.784 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.784 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561413.784 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561413.784 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.785 * [misc]taylor: Taking taylor expansion of k in k 1545561413.785 * [misc]backup-simplify: Simplify 0 into 0 1545561413.785 * [misc]backup-simplify: Simplify 1 into 1 1545561413.785 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.785 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561413.785 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561413.785 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.785 * [misc]backup-simplify: Simplify 2 into 2 1545561413.785 * [misc]taylor: Taking taylor expansion of n in k 1545561413.785 * [misc]backup-simplify: Simplify n into n 1545561413.785 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561413.785 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561413.785 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.785 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.785 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.785 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561413.785 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.785 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561413.785 * [misc]taylor: Taking taylor expansion of k in k 1545561413.785 * [misc]backup-simplify: Simplify 0 into 0 1545561413.785 * [misc]backup-simplify: Simplify 1 into 1 1545561413.786 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.786 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561413.786 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.786 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of k in k 1545561413.786 * [misc]backup-simplify: Simplify 0 into 0 1545561413.786 * [misc]backup-simplify: Simplify 1 into 1 1545561413.786 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.786 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.786 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.786 * [misc]backup-simplify: Simplify PI into PI 1545561413.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.787 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.787 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.787 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.787 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561413.787 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.787 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.787 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561413.787 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561413.787 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.787 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.788 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.788 * [misc]taylor: Taking taylor expansion of k in k 1545561413.788 * [misc]backup-simplify: Simplify 0 into 0 1545561413.788 * [misc]backup-simplify: Simplify 1 into 1 1545561413.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.788 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561413.788 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561413.788 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.788 * [misc]backup-simplify: Simplify 2 into 2 1545561413.788 * [misc]taylor: Taking taylor expansion of n in k 1545561413.788 * [misc]backup-simplify: Simplify n into n 1545561413.788 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561413.788 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561413.788 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.788 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.788 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.788 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561413.788 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.788 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545561413.788 * [misc]taylor: Taking taylor expansion of k in k 1545561413.788 * [misc]backup-simplify: Simplify 0 into 0 1545561413.788 * [misc]backup-simplify: Simplify 1 into 1 1545561413.789 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.789 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545561413.789 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545561413.789 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545561413.789 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.789 * [misc]backup-simplify: Simplify 0 into 0 1545561413.789 * [misc]backup-simplify: Simplify 0 into 0 1545561413.789 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545561413.790 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561413.790 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.790 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.790 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of k in n 1545561413.790 * [misc]backup-simplify: Simplify k into k 1545561413.790 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.790 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.790 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.790 * [misc]backup-simplify: Simplify PI into PI 1545561413.790 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.790 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.790 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.790 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.791 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561413.791 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.791 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of k in n 1545561413.791 * [misc]backup-simplify: Simplify k into k 1545561413.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.791 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.791 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.791 * [misc]backup-simplify: Simplify 2 into 2 1545561413.791 * [misc]taylor: Taking taylor expansion of n in n 1545561413.791 * [misc]backup-simplify: Simplify 0 into 0 1545561413.791 * [misc]backup-simplify: Simplify 1 into 1 1545561413.791 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.792 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.792 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.792 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.792 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.792 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.793 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561413.793 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561413.793 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561413.794 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561413.794 * [misc]backup-simplify: Simplify 0 into 0 1545561413.794 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561413.795 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545561413.795 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561413.795 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.795 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.795 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of k in n 1545561413.795 * [misc]backup-simplify: Simplify k into k 1545561413.795 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.795 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.795 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.795 * [misc]backup-simplify: Simplify PI into PI 1545561413.795 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.796 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.796 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.796 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.796 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561413.796 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.796 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.796 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.796 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of k in n 1545561413.796 * [misc]backup-simplify: Simplify k into k 1545561413.796 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.796 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.796 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.796 * [misc]backup-simplify: Simplify 2 into 2 1545561413.796 * [misc]taylor: Taking taylor expansion of n in n 1545561413.796 * [misc]backup-simplify: Simplify 0 into 0 1545561413.796 * [misc]backup-simplify: Simplify 1 into 1 1545561413.797 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.797 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.797 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.797 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.797 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.797 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.798 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.798 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561413.798 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561413.798 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561413.799 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561413.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561413.801 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.801 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.801 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.801 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.802 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561413.803 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.805 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.805 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.805 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.805 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.806 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545561413.808 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.809 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545561413.809 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545561413.809 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.809 * [misc]backup-simplify: Simplify 0 into 0 1545561413.809 * [misc]backup-simplify: Simplify 0 into 0 1545561413.810 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561413.810 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545561413.811 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545561413.811 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.811 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.811 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of k in n 1545561413.811 * [misc]backup-simplify: Simplify k into k 1545561413.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.811 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.811 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.811 * [misc]backup-simplify: Simplify PI into PI 1545561413.812 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.812 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.812 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.812 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561413.812 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.812 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.812 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.812 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.812 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.812 * [misc]taylor: Taking taylor expansion of k in n 1545561413.813 * [misc]backup-simplify: Simplify k into k 1545561413.813 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.813 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.813 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.813 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.813 * [misc]backup-simplify: Simplify 2 into 2 1545561413.813 * [misc]taylor: Taking taylor expansion of n in n 1545561413.813 * [misc]backup-simplify: Simplify 0 into 0 1545561413.813 * [misc]backup-simplify: Simplify 1 into 1 1545561413.813 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.813 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.813 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.813 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.813 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.813 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.813 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.814 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.814 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561413.814 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545561413.815 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561413.815 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545561413.816 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545561413.817 * [misc]backup-simplify: Simplify (/ (* (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545561413.817 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545561413.817 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.817 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of k in n 1545561413.817 * [misc]backup-simplify: Simplify k into k 1545561413.817 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.817 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.817 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.817 * [misc]backup-simplify: Simplify -2 into -2 1545561413.817 * [misc]taylor: Taking taylor expansion of n in n 1545561413.818 * [misc]backup-simplify: Simplify 0 into 0 1545561413.818 * [misc]backup-simplify: Simplify 1 into 1 1545561413.818 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.818 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.818 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.818 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.818 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.819 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.819 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of k in n 1545561413.819 * [misc]backup-simplify: Simplify k into k 1545561413.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.819 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.819 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.819 * [misc]backup-simplify: Simplify PI into PI 1545561413.819 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.819 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.819 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561413.820 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.820 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545561413.820 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545561413.820 * [misc]taylor: Taking taylor expansion of -1 in n 1545561413.820 * [misc]backup-simplify: Simplify -1 into -1 1545561413.820 * [misc]taylor: Taking taylor expansion of k in n 1545561413.820 * [misc]backup-simplify: Simplify k into k 1545561413.820 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545561413.820 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545561413.820 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545561413.820 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545561413.820 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.821 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545561413.821 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of k in k 1545561413.821 * [misc]backup-simplify: Simplify 0 into 0 1545561413.821 * [misc]backup-simplify: Simplify 1 into 1 1545561413.821 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.821 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561413.821 * [misc]taylor: Taking taylor expansion of -2 in k 1545561413.821 * [misc]backup-simplify: Simplify -2 into -2 1545561413.821 * [misc]taylor: Taking taylor expansion of n in k 1545561413.821 * [misc]backup-simplify: Simplify n into n 1545561413.821 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561413.821 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561413.821 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.822 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.822 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561413.822 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.822 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.822 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of k in k 1545561413.822 * [misc]backup-simplify: Simplify 0 into 0 1545561413.822 * [misc]backup-simplify: Simplify 1 into 1 1545561413.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.822 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.822 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.822 * [misc]backup-simplify: Simplify PI into PI 1545561413.822 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.823 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.823 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.823 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.823 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.823 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561413.823 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561413.823 * [misc]taylor: Taking taylor expansion of -1 in k 1545561413.823 * [misc]backup-simplify: Simplify -1 into -1 1545561413.823 * [misc]taylor: Taking taylor expansion of k in k 1545561413.823 * [misc]backup-simplify: Simplify 0 into 0 1545561413.823 * [misc]backup-simplify: Simplify 1 into 1 1545561413.823 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561413.824 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.824 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561413.824 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.824 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561413.824 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.824 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.824 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.824 * [misc]taylor: Taking taylor expansion of k in k 1545561413.824 * [misc]backup-simplify: Simplify 0 into 0 1545561413.824 * [misc]backup-simplify: Simplify 1 into 1 1545561413.824 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.825 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of -2 in k 1545561413.825 * [misc]backup-simplify: Simplify -2 into -2 1545561413.825 * [misc]taylor: Taking taylor expansion of n in k 1545561413.825 * [misc]backup-simplify: Simplify n into n 1545561413.825 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561413.825 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561413.825 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.825 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.825 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561413.825 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.825 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of k in k 1545561413.825 * [misc]backup-simplify: Simplify 0 into 0 1545561413.825 * [misc]backup-simplify: Simplify 1 into 1 1545561413.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.825 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.825 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.826 * [misc]backup-simplify: Simplify PI into PI 1545561413.826 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.826 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.826 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.826 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.826 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.826 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545561413.826 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545561413.826 * [misc]taylor: Taking taylor expansion of -1 in k 1545561413.826 * [misc]backup-simplify: Simplify -1 into -1 1545561413.826 * [misc]taylor: Taking taylor expansion of k in k 1545561413.827 * [misc]backup-simplify: Simplify 0 into 0 1545561413.827 * [misc]backup-simplify: Simplify 1 into 1 1545561413.827 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545561413.827 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.827 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545561413.827 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.827 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561413.827 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561413.827 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.827 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.827 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of k in n 1545561413.828 * [misc]backup-simplify: Simplify k into k 1545561413.828 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.828 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.828 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.828 * [misc]backup-simplify: Simplify -2 into -2 1545561413.828 * [misc]taylor: Taking taylor expansion of n in n 1545561413.828 * [misc]backup-simplify: Simplify 0 into 0 1545561413.828 * [misc]backup-simplify: Simplify 1 into 1 1545561413.828 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.828 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.828 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.828 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.828 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.829 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.829 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.829 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.829 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of k in n 1545561413.829 * [misc]backup-simplify: Simplify k into k 1545561413.829 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.829 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.829 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.829 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.829 * [misc]backup-simplify: Simplify PI into PI 1545561413.829 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.829 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.829 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.830 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561413.830 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.830 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.830 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561413.831 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561413.831 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561413.831 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545561413.832 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545561413.832 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561413.832 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.832 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.832 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.832 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.832 * [misc]taylor: Taking taylor expansion of k in n 1545561413.832 * [misc]backup-simplify: Simplify k into k 1545561413.832 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.833 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.833 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.833 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.833 * [misc]backup-simplify: Simplify -2 into -2 1545561413.833 * [misc]taylor: Taking taylor expansion of n in n 1545561413.833 * [misc]backup-simplify: Simplify 0 into 0 1545561413.833 * [misc]backup-simplify: Simplify 1 into 1 1545561413.833 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.833 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.833 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.833 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.833 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.834 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.834 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of k in n 1545561413.834 * [misc]backup-simplify: Simplify k into k 1545561413.834 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.834 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.834 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.834 * [misc]backup-simplify: Simplify PI into PI 1545561413.834 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.834 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.834 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.834 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561413.835 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.835 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.835 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561413.835 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561413.836 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561413.837 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.837 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.837 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.838 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.838 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545561413.839 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561413.840 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561413.840 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.841 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561413.842 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.842 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561413.843 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561413.843 * [misc]backup-simplify: Simplify 0 into 0 1545561413.843 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561413.843 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.844 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545561413.845 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561413.845 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545561413.845 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545561413.845 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of k in n 1545561413.845 * [misc]backup-simplify: Simplify k into k 1545561413.845 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.845 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.845 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.845 * [misc]backup-simplify: Simplify -2 into -2 1545561413.845 * [misc]taylor: Taking taylor expansion of n in n 1545561413.845 * [misc]backup-simplify: Simplify 0 into 0 1545561413.845 * [misc]backup-simplify: Simplify 1 into 1 1545561413.845 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.846 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.846 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.846 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.846 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.846 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.846 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.846 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561413.846 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561413.846 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.846 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.846 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.846 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.846 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.846 * [misc]taylor: Taking taylor expansion of k in n 1545561413.846 * [misc]backup-simplify: Simplify k into k 1545561413.846 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.846 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.847 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.847 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.847 * [misc]backup-simplify: Simplify PI into PI 1545561413.847 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.847 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.847 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.847 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561413.847 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.848 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.848 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545561413.848 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561413.848 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545561413.850 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561413.850 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545561413.850 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545561413.850 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1545561413.850 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.850 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.850 * [misc]taylor: Taking taylor expansion of k in n 1545561413.850 * [misc]backup-simplify: Simplify k into k 1545561413.850 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.850 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.850 * [misc]backup-simplify: Simplify 2 into 2 1545561413.850 * [misc]taylor: Taking taylor expansion of n in n 1545561413.850 * [misc]backup-simplify: Simplify 0 into 0 1545561413.851 * [misc]backup-simplify: Simplify 1 into 1 1545561413.851 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.851 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.851 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.851 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561413.851 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561413.851 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561413.851 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.851 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545561413.852 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545561413.852 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545561413.852 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545561413.852 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545561413.852 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545561413.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.852 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545561413.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.852 * [misc]taylor: Taking taylor expansion of k in n 1545561413.852 * [misc]backup-simplify: Simplify k into k 1545561413.852 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.852 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.852 * [misc]backup-simplify: Simplify PI into PI 1545561413.852 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.852 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545561413.852 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545561413.852 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545561413.852 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545561413.853 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545561413.853 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.853 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.853 * [misc]taylor: Taking taylor expansion of k in k 1545561413.853 * [misc]backup-simplify: Simplify 0 into 0 1545561413.853 * [misc]backup-simplify: Simplify 1 into 1 1545561413.853 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.853 * [misc]backup-simplify: Simplify 2 into 2 1545561413.853 * [misc]taylor: Taking taylor expansion of n in k 1545561413.853 * [misc]backup-simplify: Simplify n into n 1545561413.853 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561413.853 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561413.853 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.853 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.853 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.853 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561413.853 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561413.853 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.854 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.854 * [misc]taylor: Taking taylor expansion of k in k 1545561413.854 * [misc]backup-simplify: Simplify 0 into 0 1545561413.854 * [misc]backup-simplify: Simplify 1 into 1 1545561413.854 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.854 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.854 * [misc]backup-simplify: Simplify PI into PI 1545561413.854 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.854 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.854 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.854 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.854 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.855 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561413.855 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.855 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.855 * [misc]taylor: Taking taylor expansion of k in k 1545561413.855 * [misc]backup-simplify: Simplify 0 into 0 1545561413.855 * [misc]backup-simplify: Simplify 1 into 1 1545561413.855 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545561413.855 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.855 * [misc]backup-simplify: Simplify 2 into 2 1545561413.855 * [misc]taylor: Taking taylor expansion of n in k 1545561413.855 * [misc]backup-simplify: Simplify n into n 1545561413.855 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545561413.855 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545561413.855 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.855 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.856 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.856 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545561413.856 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545561413.856 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545561413.856 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545561413.856 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561413.856 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561413.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.856 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561413.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.856 * [misc]taylor: Taking taylor expansion of k in k 1545561413.856 * [misc]backup-simplify: Simplify 0 into 0 1545561413.856 * [misc]backup-simplify: Simplify 1 into 1 1545561413.856 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.856 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.856 * [misc]backup-simplify: Simplify PI into PI 1545561413.856 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.856 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.856 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.856 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.857 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.857 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545561413.857 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545561413.857 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545561413.857 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545561413.858 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.858 * [misc]backup-simplify: Simplify PI into PI 1545561413.858 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545561413.858 * [misc]taylor: Taking taylor expansion of n in n 1545561413.858 * [misc]backup-simplify: Simplify 0 into 0 1545561413.858 * [misc]backup-simplify: Simplify 1 into 1 1545561413.858 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.858 * [misc]backup-simplify: Simplify 2 into 2 1545561413.858 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545561413.858 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.858 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545561413.858 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545561413.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.859 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.859 * [misc]backup-simplify: Simplify 0 into 0 1545561413.860 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.861 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561413.861 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.861 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561413.863 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545561413.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545561413.864 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545561413.864 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561413.864 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.864 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545561413.865 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545561413.866 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545561413.866 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.866 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.866 * [misc]backup-simplify: Simplify 2 into 2 1545561413.866 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.866 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.866 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.866 * [misc]backup-simplify: Simplify PI into PI 1545561413.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.866 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.866 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.866 * [misc]backup-simplify: Simplify PI into PI 1545561413.866 * [misc]taylor: Taking taylor expansion of n in n 1545561413.866 * [misc]backup-simplify: Simplify 0 into 0 1545561413.866 * [misc]backup-simplify: Simplify 1 into 1 1545561413.867 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.867 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.867 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.867 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545561413.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.867 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545561413.867 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545561413.867 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.867 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.867 * [misc]backup-simplify: Simplify 2 into 2 1545561413.868 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.868 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.868 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.868 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.868 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.868 * [misc]backup-simplify: Simplify 2 into 2 1545561413.868 * [misc]taylor: Taking taylor expansion of n in n 1545561413.868 * [misc]backup-simplify: Simplify 0 into 0 1545561413.868 * [misc]backup-simplify: Simplify 1 into 1 1545561413.868 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.868 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.868 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.868 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.868 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.868 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.868 * [misc]backup-simplify: Simplify PI into PI 1545561413.868 * [misc]taylor: Taking taylor expansion of n in n 1545561413.868 * [misc]backup-simplify: Simplify 0 into 0 1545561413.868 * [misc]backup-simplify: Simplify 1 into 1 1545561413.868 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.869 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.869 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.869 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.870 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545561413.870 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545561413.870 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.871 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.871 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545561413.871 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545561413.871 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561413.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.871 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.871 * [misc]backup-simplify: Simplify 0 into 0 1545561413.872 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545561413.874 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561413.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.874 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561413.878 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545561413.878 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545561413.879 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545561413.879 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.879 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545561413.880 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545561413.882 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545561413.883 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545561413.883 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545561413.883 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.883 * [misc]backup-simplify: Simplify 2 into 2 1545561413.883 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.883 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.883 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.883 * [misc]backup-simplify: Simplify PI into PI 1545561413.883 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.883 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.883 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.883 * [misc]backup-simplify: Simplify PI into PI 1545561413.883 * [misc]taylor: Taking taylor expansion of n in n 1545561413.883 * [misc]backup-simplify: Simplify 0 into 0 1545561413.883 * [misc]backup-simplify: Simplify 1 into 1 1545561413.883 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.884 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.884 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.884 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.884 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))) in n 1545561413.884 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545561413.884 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545561413.884 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545561413.884 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545561413.884 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545561413.884 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.884 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.884 * [misc]backup-simplify: Simplify 2 into 2 1545561413.885 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.885 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.885 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545561413.885 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.885 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.885 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.885 * [misc]backup-simplify: Simplify 2 into 2 1545561413.885 * [misc]taylor: Taking taylor expansion of n in n 1545561413.885 * [misc]backup-simplify: Simplify 0 into 0 1545561413.885 * [misc]backup-simplify: Simplify 1 into 1 1545561413.885 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.885 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.885 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.885 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.885 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.885 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.885 * [misc]backup-simplify: Simplify PI into PI 1545561413.886 * [misc]taylor: Taking taylor expansion of n in n 1545561413.886 * [misc]backup-simplify: Simplify 0 into 0 1545561413.886 * [misc]backup-simplify: Simplify 1 into 1 1545561413.886 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.886 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.886 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.887 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.887 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1545561413.887 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545561413.887 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545561413.887 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1545561413.887 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545561413.887 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545561413.887 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.887 * [misc]backup-simplify: Simplify PI into PI 1545561413.887 * [misc]taylor: Taking taylor expansion of n in n 1545561413.887 * [misc]backup-simplify: Simplify 0 into 0 1545561413.887 * [misc]backup-simplify: Simplify 1 into 1 1545561413.887 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545561413.887 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545561413.887 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545561413.888 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545561413.888 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545561413.888 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545561413.888 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.888 * [misc]backup-simplify: Simplify 2 into 2 1545561413.888 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545561413.888 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545561413.888 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545561413.888 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545561413.888 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545561413.888 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.888 * [misc]backup-simplify: Simplify 2 into 2 1545561413.888 * [misc]taylor: Taking taylor expansion of n in n 1545561413.888 * [misc]backup-simplify: Simplify 0 into 0 1545561413.888 * [misc]backup-simplify: Simplify 1 into 1 1545561413.888 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545561413.888 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545561413.889 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.889 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.889 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.889 * [misc]backup-simplify: Simplify PI into PI 1545561413.889 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.889 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545561413.890 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545561413.891 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545561413.891 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545561413.891 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.891 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.892 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545561413.892 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545561413.892 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545561413.892 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545561413.892 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.893 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545561413.893 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545561413.894 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1545561413.894 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545561413.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.894 * [misc]backup-simplify: Simplify 0 into 0 1545561413.895 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.896 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545561413.897 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561413.899 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545561413.899 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545561413.900 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.901 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545561413.901 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545561413.901 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561413.903 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545561413.905 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545561413.908 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545561413.912 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545561413.913 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545561413.915 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545561413.917 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545561413.917 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545561413.923 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545561413.924 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545561413.924 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545561413.924 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.924 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of k in n 1545561413.924 * [misc]backup-simplify: Simplify k into k 1545561413.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.924 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.924 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.924 * [misc]backup-simplify: Simplify PI into PI 1545561413.925 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.925 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.925 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.925 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.925 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561413.926 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.926 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.926 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.926 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.926 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.927 * [misc]taylor: Taking taylor expansion of k in n 1545561413.927 * [misc]backup-simplify: Simplify k into k 1545561413.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.927 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.927 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.927 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.927 * [misc]backup-simplify: Simplify 2 into 2 1545561413.927 * [misc]taylor: Taking taylor expansion of n in n 1545561413.927 * [misc]backup-simplify: Simplify 0 into 0 1545561413.927 * [misc]backup-simplify: Simplify 1 into 1 1545561413.927 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.927 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.927 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.927 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.927 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.928 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.928 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.929 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.929 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of k in k 1545561413.929 * [misc]backup-simplify: Simplify 0 into 0 1545561413.929 * [misc]backup-simplify: Simplify 1 into 1 1545561413.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.929 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.929 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.929 * [misc]backup-simplify: Simplify PI into PI 1545561413.930 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.930 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.930 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.930 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.931 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561413.931 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.931 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.931 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561413.931 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561413.931 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.931 * [misc]taylor: Taking taylor expansion of k in k 1545561413.931 * [misc]backup-simplify: Simplify 0 into 0 1545561413.931 * [misc]backup-simplify: Simplify 1 into 1 1545561413.932 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.932 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561413.932 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561413.932 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.932 * [misc]backup-simplify: Simplify 2 into 2 1545561413.932 * [misc]taylor: Taking taylor expansion of n in k 1545561413.932 * [misc]backup-simplify: Simplify n into n 1545561413.932 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561413.932 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561413.932 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.932 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.932 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.933 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561413.933 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.933 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of k in k 1545561413.933 * [misc]backup-simplify: Simplify 0 into 0 1545561413.933 * [misc]backup-simplify: Simplify 1 into 1 1545561413.933 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.933 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.933 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.934 * [misc]backup-simplify: Simplify PI into PI 1545561413.934 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.934 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.934 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.934 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.935 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561413.935 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.935 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545561413.935 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545561413.935 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545561413.935 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561413.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.935 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.935 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.936 * [misc]taylor: Taking taylor expansion of k in k 1545561413.936 * [misc]backup-simplify: Simplify 0 into 0 1545561413.936 * [misc]backup-simplify: Simplify 1 into 1 1545561413.936 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.936 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545561413.936 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545561413.936 * [misc]taylor: Taking taylor expansion of 2 in k 1545561413.936 * [misc]backup-simplify: Simplify 2 into 2 1545561413.936 * [misc]taylor: Taking taylor expansion of n in k 1545561413.936 * [misc]backup-simplify: Simplify n into n 1545561413.936 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545561413.936 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545561413.936 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.936 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561413.937 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561413.937 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545561413.937 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.937 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545561413.937 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545561413.937 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.937 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545561413.937 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545561413.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.938 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.938 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.938 * [misc]taylor: Taking taylor expansion of k in n 1545561413.938 * [misc]backup-simplify: Simplify k into k 1545561413.938 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.938 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.938 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.938 * [misc]backup-simplify: Simplify PI into PI 1545561413.938 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.938 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.938 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.939 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.939 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561413.939 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545561413.939 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545561413.939 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545561413.939 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545561413.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545561413.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.940 * [misc]taylor: Taking taylor expansion of k in n 1545561413.940 * [misc]backup-simplify: Simplify k into k 1545561413.940 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.940 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545561413.940 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545561413.940 * [misc]taylor: Taking taylor expansion of 2 in n 1545561413.940 * [misc]backup-simplify: Simplify 2 into 2 1545561413.940 * [misc]taylor: Taking taylor expansion of n in n 1545561413.940 * [misc]backup-simplify: Simplify 0 into 0 1545561413.940 * [misc]backup-simplify: Simplify 1 into 1 1545561413.940 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545561413.940 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545561413.940 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.940 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545561413.941 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545561413.941 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.941 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545561413.942 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545561413.942 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561413.942 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545561413.943 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545561413.943 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.943 * [misc]backup-simplify: Simplify 0 into 0 1545561413.943 * [misc]backup-simplify: Simplify 0 into 0 1545561413.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545561413.945 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545561413.945 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.945 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.945 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.945 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.946 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545561413.946 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.948 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.948 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.948 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.948 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.949 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545561413.949 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.950 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545561413.950 * [misc]backup-simplify: Simplify 0 into 0 1545561413.950 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545561413.950 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.950 * [misc]backup-simplify: Simplify 0 into 0 1545561413.950 * [misc]backup-simplify: Simplify 0 into 0 1545561413.950 * [misc]backup-simplify: Simplify 0 into 0 1545561413.950 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.953 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545561413.953 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.953 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561413.953 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.954 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545561413.954 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545561413.955 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561413.958 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561413.958 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.958 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561413.958 * [misc]backup-simplify: Simplify (- 0) into 0 1545561413.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.959 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545561413.960 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561413.961 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545561413.961 * [misc]backup-simplify: Simplify 0 into 0 1545561413.961 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545561413.961 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.961 * [misc]backup-simplify: Simplify 0 into 0 1545561413.961 * [misc]backup-simplify: Simplify 0 into 0 1545561413.961 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))) into (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545561413.962 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.962 * [misc]approximate: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545561413.962 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of k in n 1545561413.962 * [misc]backup-simplify: Simplify k into k 1545561413.962 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.962 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.962 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.962 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.962 * [misc]backup-simplify: Simplify -2 into -2 1545561413.962 * [misc]taylor: Taking taylor expansion of n in n 1545561413.962 * [misc]backup-simplify: Simplify 0 into 0 1545561413.962 * [misc]backup-simplify: Simplify 1 into 1 1545561413.962 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.962 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.962 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.962 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.963 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.963 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.963 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of k in n 1545561413.963 * [misc]backup-simplify: Simplify k into k 1545561413.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.963 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.963 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.963 * [misc]backup-simplify: Simplify PI into PI 1545561413.964 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.964 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.964 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.964 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561413.964 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.964 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of k in k 1545561413.964 * [misc]backup-simplify: Simplify 0 into 0 1545561413.964 * [misc]backup-simplify: Simplify 1 into 1 1545561413.964 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.964 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561413.964 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of -2 in k 1545561413.965 * [misc]backup-simplify: Simplify -2 into -2 1545561413.965 * [misc]taylor: Taking taylor expansion of n in k 1545561413.965 * [misc]backup-simplify: Simplify n into n 1545561413.965 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561413.965 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561413.965 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.965 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.965 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561413.965 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.965 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of k in k 1545561413.965 * [misc]backup-simplify: Simplify 0 into 0 1545561413.965 * [misc]backup-simplify: Simplify 1 into 1 1545561413.965 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.965 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.965 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.965 * [misc]backup-simplify: Simplify PI into PI 1545561413.966 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.966 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.966 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.966 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.966 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.966 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.966 * [misc]taylor: Taking taylor expansion of k in k 1545561413.967 * [misc]backup-simplify: Simplify 0 into 0 1545561413.967 * [misc]backup-simplify: Simplify 1 into 1 1545561413.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.967 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of -2 in k 1545561413.967 * [misc]backup-simplify: Simplify -2 into -2 1545561413.967 * [misc]taylor: Taking taylor expansion of n in k 1545561413.967 * [misc]backup-simplify: Simplify n into n 1545561413.967 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545561413.967 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545561413.967 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.967 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.967 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545561413.967 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.967 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.967 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561413.967 * [misc]taylor: Taking taylor expansion of k in k 1545561413.967 * [misc]backup-simplify: Simplify 0 into 0 1545561413.967 * [misc]backup-simplify: Simplify 1 into 1 1545561413.968 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561413.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561413.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.968 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561413.968 * [misc]taylor: Taking taylor expansion of PI in k 1545561413.968 * [misc]backup-simplify: Simplify PI into PI 1545561413.968 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.968 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561413.968 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561413.968 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561413.968 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.969 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.969 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of k in n 1545561413.969 * [misc]backup-simplify: Simplify k into k 1545561413.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.969 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545561413.969 * [misc]taylor: Taking taylor expansion of -2 in n 1545561413.969 * [misc]backup-simplify: Simplify -2 into -2 1545561413.969 * [misc]taylor: Taking taylor expansion of n in n 1545561413.969 * [misc]backup-simplify: Simplify 0 into 0 1545561413.969 * [misc]backup-simplify: Simplify 1 into 1 1545561413.969 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545561413.969 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545561413.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.969 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.970 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.970 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545561413.970 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545561413.970 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of k in n 1545561413.970 * [misc]backup-simplify: Simplify k into k 1545561413.970 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545561413.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545561413.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561413.970 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545561413.970 * [misc]taylor: Taking taylor expansion of PI in n 1545561413.970 * [misc]backup-simplify: Simplify PI into PI 1545561413.970 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561413.971 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545561413.971 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545561413.971 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561413.971 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545561413.971 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.972 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545561413.972 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561413.972 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.972 * [misc]backup-simplify: Simplify 0 into 0 1545561413.972 * [misc]backup-simplify: Simplify 0 into 0 1545561413.975 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561413.975 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.975 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.975 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.976 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545561413.977 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.978 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545561413.980 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545561413.980 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545561413.980 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545561413.980 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.981 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.981 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545561413.982 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545561413.983 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545561413.983 * [misc]backup-simplify: Simplify 0 into 0 1545561413.983 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561413.983 * [misc]taylor: Taking taylor expansion of 0 in n 1545561413.983 * [misc]backup-simplify: Simplify 0 into 0 1545561413.983 * [misc]backup-simplify: Simplify 0 into 0 1545561413.983 * [misc]backup-simplify: Simplify 0 into 0 1545561413.988 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561413.988 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561413.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.990 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545561413.992 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561413.992 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561413.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545561413.996 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545561413.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545561413.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561413.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545561413.997 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545561413.999 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545561414.000 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545561414.000 * [misc]backup-simplify: Simplify 0 into 0 1545561414.000 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545561414.000 * [misc]taylor: Taking taylor expansion of 0 in n 1545561414.000 * [misc]backup-simplify: Simplify 0 into 0 1545561414.000 * [misc]backup-simplify: Simplify 0 into 0 1545561414.001 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545561414.001 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) 1545561414.002 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545561414.002 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1545561414.002 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.002 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.002 * [misc]taylor: Taking taylor expansion of k in k 1545561414.002 * [misc]backup-simplify: Simplify 0 into 0 1545561414.002 * [misc]backup-simplify: Simplify 1 into 1 1545561414.002 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of PI in k 1545561414.002 * [misc]backup-simplify: Simplify PI into PI 1545561414.002 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561414.002 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.002 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.002 * [misc]taylor: Taking taylor expansion of k in k 1545561414.002 * [misc]backup-simplify: Simplify 0 into 0 1545561414.002 * [misc]backup-simplify: Simplify 1 into 1 1545561414.002 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561414.002 * [misc]taylor: Taking taylor expansion of PI in k 1545561414.002 * [misc]backup-simplify: Simplify PI into PI 1545561414.003 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561414.003 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545561414.003 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.003 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561414.004 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561414.004 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561414.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561414.007 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545561414.007 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561414.007 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561414.008 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561414.008 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1545561414.011 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561414.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545561414.011 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.012 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.012 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545561414.012 * [misc]backup-simplify: Simplify 0 into 0 1545561414.017 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561414.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545561414.017 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.017 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561414.019 * [misc]backup-simplify: Simplify 0 into 0 1545561414.025 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545561414.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545561414.026 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.027 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545561414.027 * [misc]backup-simplify: Simplify 0 into 0 1545561414.040 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545561414.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545561414.041 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.041 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.046 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545561414.046 * [misc]backup-simplify: Simplify 0 into 0 1545561414.064 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545561414.065 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545561414.065 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.065 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.067 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545561414.067 * [misc]backup-simplify: Simplify 0 into 0 1545561414.099 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545561414.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545561414.100 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.100 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.104 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545561414.104 * [misc]backup-simplify: Simplify 0 into 0 1545561414.106 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561414.106 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545561414.106 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1545561414.106 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.107 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.107 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of k in k 1545561414.107 * [misc]backup-simplify: Simplify 0 into 0 1545561414.107 * [misc]backup-simplify: Simplify 1 into 1 1545561414.107 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561414.107 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of PI in k 1545561414.107 * [misc]backup-simplify: Simplify PI into PI 1545561414.107 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561414.107 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.107 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561414.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.108 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561414.108 * [misc]taylor: Taking taylor expansion of k in k 1545561414.108 * [misc]backup-simplify: Simplify 0 into 0 1545561414.108 * [misc]backup-simplify: Simplify 1 into 1 1545561414.108 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561414.108 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561414.108 * [misc]taylor: Taking taylor expansion of PI in k 1545561414.108 * [misc]backup-simplify: Simplify PI into PI 1545561414.108 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561414.108 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561414.109 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545561414.109 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545561414.109 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561414.110 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545561414.112 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561414.112 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561414.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545561414.113 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.113 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561414.114 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545561414.114 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561414.119 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561414.119 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545561414.120 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.122 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545561414.122 * [misc]backup-simplify: Simplify 0 into 0 1545561414.129 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561414.130 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.130 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545561414.130 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.132 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561414.132 * [misc]backup-simplify: Simplify 0 into 0 1545561414.144 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545561414.144 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.144 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545561414.144 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.146 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545561414.146 * [misc]backup-simplify: Simplify 0 into 0 1545561414.156 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545561414.157 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545561414.157 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.157 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.159 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545561414.159 * [misc]backup-simplify: Simplify 0 into 0 1545561414.179 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545561414.180 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545561414.181 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.185 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545561414.185 * [misc]backup-simplify: Simplify 0 into 0 1545561414.225 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545561414.226 * [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 1545561414.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545561414.227 * [misc]backup-simplify: Simplify (- 0) into 0 1545561414.227 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.231 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545561414.231 * [misc]backup-simplify: Simplify 0 into 0 1545561414.232 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561414.233 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545561414.233 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1545561414.233 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of k in k 1545561414.233 * [misc]backup-simplify: Simplify 0 into 0 1545561414.233 * [misc]backup-simplify: Simplify 1 into 1 1545561414.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561414.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.233 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of PI in k 1545561414.233 * [misc]backup-simplify: Simplify PI into PI 1545561414.233 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561414.233 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545561414.233 * [misc]taylor: Taking taylor expansion of k in k 1545561414.234 * [misc]backup-simplify: Simplify 0 into 0 1545561414.234 * [misc]backup-simplify: Simplify 1 into 1 1545561414.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545561414.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545561414.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545561414.234 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545561414.234 * [misc]taylor: Taking taylor expansion of PI in k 1545561414.234 * [misc]backup-simplify: Simplify PI into PI 1545561414.234 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545561414.234 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545561414.234 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545561414.235 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561414.235 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561414.237 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545561414.238 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545561414.238 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545561414.238 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545561414.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545561414.239 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545561414.243 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545561414.243 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545561414.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545561414.244 * [misc]backup-simplify: Simplify 0 into 0 1545561414.248 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545561414.249 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545561414.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.250 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545561414.250 * [misc]backup-simplify: Simplify 0 into 0 1545561414.257 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545561414.257 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.258 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545561414.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545561414.260 * [misc]backup-simplify: Simplify 0 into 0 1545561414.270 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545561414.271 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.271 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545561414.271 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545561414.274 * [misc]backup-simplify: Simplify 0 into 0 1545561414.302 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545561414.303 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545561414.303 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545561414.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.307 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545561414.308 * [misc]backup-simplify: Simplify 0 into 0 1545561414.348 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545561414.349 * [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 1545561414.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545561414.350 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545561414.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545561414.354 * [misc]backup-simplify: Simplify 0 into 0 1545561414.356 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561414.356 * * * [misc]progress: simplifying candidates 1545561414.356 * * * * [misc]progress: [ 1 / 112 ] simplifiying candidate # 1545561414.356 * * * * [misc]progress: [ 2 / 112 ] simplifiying candidate # 1545561414.356 * * * * [misc]progress: [ 3 / 112 ] simplifiying candidate # 1545561414.356 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545561414.356 * * [misc]simplify: iters left: 6 (9 enodes) 1545561414.360 * * [misc]simplify: iters left: 5 (16 enodes) 1545561414.366 * * [misc]simplify: iters left: 4 (32 enodes) 1545561414.379 * * [misc]simplify: iters left: 3 (72 enodes) 1545561414.419 * * [misc]simplify: iters left: 2 (195 enodes) 1545561414.518 * * [misc]simplify: iters left: 1 (418 enodes) 1545561414.748 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545561414.748 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1545561414.748 * * * * [misc]progress: [ 4 / 112 ] simplifiying candidate # 1545561414.749 * * * * [misc]progress: [ 5 / 112 ] simplifiying candidate # 1545561414.749 * [enter]simplify: Simplifying (* n 2) 1545561414.749 * * [misc]simplify: iters left: 2 (3 enodes) 1545561414.750 * * [misc]simplify: iters left: 1 (4 enodes) 1545561414.751 * [exit]simplify: Simplified to (* n 2) 1545561414.751 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))) (sqrt k))) 1545561414.751 * * * * [misc]progress: [ 6 / 112 ] simplifiying candidate # 1545561414.751 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545561414.752 * * [misc]simplify: iters left: 3 (6 enodes) 1545561414.754 * * [misc]simplify: iters left: 2 (7 enodes) 1545561414.756 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545561414.756 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))) (sqrt k))) 1545561414.756 * * * * [misc]progress: [ 7 / 112 ] simplifiying candidate # 1545561414.756 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561414.756 * * [misc]simplify: iters left: 5 (6 enodes) 1545561414.758 * * [misc]simplify: iters left: 4 (8 enodes) 1545561414.760 * * [misc]simplify: iters left: 3 (11 enodes) 1545561414.764 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561414.764 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k))) 1545561414.764 * * * * [misc]progress: [ 8 / 112 ] simplifiying candidate # 1545561414.764 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561414.764 * * [misc]simplify: iters left: 5 (6 enodes) 1545561414.766 * * [misc]simplify: iters left: 4 (8 enodes) 1545561414.768 * * [misc]simplify: iters left: 3 (11 enodes) 1545561414.772 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561414.772 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))) 1545561414.772 * * * * [misc]progress: [ 9 / 112 ] simplifiying candidate # 1545561414.772 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561414.772 * * [misc]simplify: iters left: 4 (5 enodes) 1545561414.774 * * [misc]simplify: iters left: 3 (7 enodes) 1545561414.776 * * [misc]simplify: iters left: 2 (10 enodes) 1545561414.778 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561414.779 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))) (sqrt k))) 1545561414.779 * * * * [misc]progress: [ 10 / 112 ] simplifiying candidate # 1545561414.779 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561414.779 * * [misc]simplify: iters left: 5 (7 enodes) 1545561414.781 * * [misc]simplify: iters left: 4 (10 enodes) 1545561414.784 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561414.784 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545561414.784 * * * * [misc]progress: [ 11 / 112 ] simplifiying candidate # 1545561414.785 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561414.785 * * [misc]simplify: iters left: 5 (7 enodes) 1545561414.787 * * [misc]simplify: iters left: 4 (10 enodes) 1545561414.790 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561414.790 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545561414.790 * * * * [misc]progress: [ 12 / 112 ] simplifiying candidate # 1545561414.790 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545561414.790 * * [misc]simplify: iters left: 5 (7 enodes) 1545561414.793 * * [misc]simplify: iters left: 4 (9 enodes) 1545561414.799 * * [misc]simplify: iters left: 3 (12 enodes) 1545561414.801 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545561414.801 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k))) 1545561414.801 * * * * [misc]progress: [ 13 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 14 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 15 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 16 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 17 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 18 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 19 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 20 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 21 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 22 / 112 ] simplifiying candidate # 1545561414.801 * * * * [misc]progress: [ 23 / 112 ] simplifiying candidate # 1545561414.801 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545561414.802 * * [misc]simplify: iters left: 6 (16 enodes) 1545561414.805 * * [misc]simplify: iters left: 5 (32 enodes) 1545561414.811 * * [misc]simplify: iters left: 4 (75 enodes) 1545561414.831 * * [misc]simplify: iters left: 3 (223 enodes) 1545561414.939 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561414.939 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561414.939 * * * * [misc]progress: [ 24 / 112 ] simplifiying candidate # 1545561414.940 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545561414.940 * * [misc]simplify: iters left: 6 (16 enodes) 1545561414.943 * * [misc]simplify: iters left: 5 (32 enodes) 1545561414.949 * * [misc]simplify: iters left: 4 (75 enodes) 1545561414.971 * * [misc]simplify: iters left: 3 (223 enodes) 1545561415.110 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561415.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561415.110 * * * * [misc]progress: [ 25 / 112 ] simplifiying candidate # 1545561415.110 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545561415.110 * * [misc]simplify: iters left: 6 (16 enodes) 1545561415.113 * * [misc]simplify: iters left: 5 (28 enodes) 1545561415.118 * * [misc]simplify: iters left: 4 (59 enodes) 1545561415.131 * * [misc]simplify: iters left: 3 (137 enodes) 1545561415.200 * * [misc]simplify: iters left: 2 (450 enodes) 1545561416.249 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561416.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561416.249 * * * * [misc]progress: [ 26 / 112 ] simplifiying candidate # 1545561416.256 * [enter]simplify: Simplifying (- (log (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545561416.256 * * [misc]simplify: iters left: 6 (17 enodes) 1545561416.262 * * [misc]simplify: iters left: 5 (30 enodes) 1545561416.271 * * [misc]simplify: iters left: 4 (43 enodes) 1545561416.284 * * [misc]simplify: iters left: 3 (66 enodes) 1545561416.305 * * [misc]simplify: iters left: 2 (107 enodes) 1545561416.357 * * [misc]simplify: iters left: 1 (306 enodes) 1545561416.630 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545561416.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545561416.630 * * * * [misc]progress: [ 27 / 112 ] simplifiying candidate # 1545561416.631 * * * * [misc]progress: [ 28 / 112 ] simplifiying candidate # 1545561416.631 * * * * [misc]progress: [ 29 / 112 ] simplifiying candidate # 1545561416.631 * [enter]simplify: Simplifying (/ (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545561416.631 * * [misc]simplify: iters left: 6 (21 enodes) 1545561416.639 * * [misc]simplify: iters left: 5 (45 enodes) 1545561416.656 * * [misc]simplify: iters left: 4 (146 enodes) 1545561416.731 * * [misc]simplify: iters left: 3 (494 enodes) 1545561417.087 * [exit]simplify: Simplified to (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545561417.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545561417.087 * * * * [misc]progress: [ 30 / 112 ] simplifiying candidate # 1545561417.087 * [enter]simplify: Simplifying (/ (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545561417.088 * * [misc]simplify: iters left: 6 (19 enodes) 1545561417.091 * * [misc]simplify: iters left: 5 (42 enodes) 1545561417.102 * * [misc]simplify: iters left: 4 (117 enodes) 1545561417.156 * * [misc]simplify: iters left: 3 (393 enodes) 1545561417.667 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) k)) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545561417.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) k)) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545561417.667 * * * * [misc]progress: [ 31 / 112 ] simplifiying candidate # 1545561417.667 * * * * [misc]progress: [ 32 / 112 ] simplifiying candidate # 1545561417.667 * * * * [misc]progress: [ 33 / 112 ] simplifiying candidate # 1545561417.667 * * * * [misc]progress: [ 34 / 112 ] simplifiying candidate # 1545561417.667 * * * * [misc]progress: [ 35 / 112 ] simplifiying candidate # 1545561417.667 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561417.667 * * [misc]simplify: iters left: 6 (13 enodes) 1545561417.669 * * [misc]simplify: iters left: 5 (21 enodes) 1545561417.672 * * [misc]simplify: iters left: 4 (30 enodes) 1545561417.677 * * [misc]simplify: iters left: 3 (48 enodes) 1545561417.686 * * [misc]simplify: iters left: 2 (96 enodes) 1545561417.701 * * [misc]simplify: iters left: 1 (152 enodes) 1545561417.724 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545561417.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561417.724 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561417.724 * * [misc]simplify: iters left: 6 (11 enodes) 1545561417.726 * * [misc]simplify: iters left: 5 (14 enodes) 1545561417.728 * * [misc]simplify: iters left: 4 (17 enodes) 1545561417.732 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545561417.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545561417.732 * * * * [misc]progress: [ 36 / 112 ] simplifiying candidate # 1545561417.732 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545561417.732 * * [misc]simplify: iters left: 6 (12 enodes) 1545561417.734 * * [misc]simplify: iters left: 5 (18 enodes) 1545561417.737 * * [misc]simplify: iters left: 4 (27 enodes) 1545561417.742 * * [misc]simplify: iters left: 3 (45 enodes) 1545561417.749 * * [misc]simplify: iters left: 2 (88 enodes) 1545561417.762 * * [misc]simplify: iters left: 1 (132 enodes) 1545561417.780 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561417.780 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561417.780 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561417.780 * * [misc]simplify: iters left: 6 (11 enodes) 1545561417.784 * * [misc]simplify: iters left: 5 (14 enodes) 1545561417.787 * * [misc]simplify: iters left: 4 (17 enodes) 1545561417.792 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545561417.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545561417.792 * * * * [misc]progress: [ 37 / 112 ] simplifiying candidate # 1545561417.792 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) 1) 1545561417.793 * * [misc]simplify: iters left: 6 (11 enodes) 1545561417.796 * * [misc]simplify: iters left: 5 (19 enodes) 1545561417.801 * * [misc]simplify: iters left: 4 (32 enodes) 1545561417.811 * * [misc]simplify: iters left: 3 (56 enodes) 1545561417.828 * * [misc]simplify: iters left: 2 (99 enodes) 1545561417.857 * * [misc]simplify: iters left: 1 (139 enodes) 1545561417.874 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545561417.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561417.874 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561417.874 * * [misc]simplify: iters left: 6 (10 enodes) 1545561417.875 * * [misc]simplify: iters left: 5 (13 enodes) 1545561417.877 * * [misc]simplify: iters left: 4 (16 enodes) 1545561417.880 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545561417.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545561417.880 * * * * [misc]progress: [ 38 / 112 ] simplifiying candidate # 1545561417.880 * * * * [misc]progress: [ 39 / 112 ] simplifiying candidate # 1545561417.880 * * * * [misc]progress: [ 40 / 112 ] simplifiying candidate # 1545561417.880 * * * * [misc]progress: [ 41 / 112 ] simplifiying candidate # 1545561417.880 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545561417.880 * * [misc]simplify: iters left: 2 (3 enodes) 1545561417.881 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545561417.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545561417.881 * * * * [misc]progress: [ 42 / 112 ] simplifiying candidate # 1545561417.881 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545561417.881 * * [misc]simplify: iters left: 2 (3 enodes) 1545561417.881 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545561417.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545561417.881 * * * * [misc]progress: [ 43 / 112 ] simplifiying candidate # 1545561417.881 * [enter]simplify: Simplifying (sqrt k) 1545561417.881 * * [misc]simplify: iters left: 1 (2 enodes) 1545561417.882 * [exit]simplify: Simplified to (sqrt k) 1545561417.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k))) 1545561417.882 * * * * [misc]progress: [ 44 / 112 ] simplifiying candidate # 1545561417.882 * [enter]simplify: Simplifying (exp (* (log PI) (- 1/2 (/ k 2)))) 1545561417.882 * * [misc]simplify: iters left: 6 (9 enodes) 1545561417.883 * * [misc]simplify: iters left: 5 (15 enodes) 1545561417.886 * * [misc]simplify: iters left: 4 (24 enodes) 1545561417.890 * * [misc]simplify: iters left: 3 (42 enodes) 1545561417.900 * * [misc]simplify: iters left: 2 (83 enodes) 1545561417.922 * * [misc]simplify: iters left: 1 (123 enodes) 1545561417.946 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545561417.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545561417.946 * * * * [misc]progress: [ 45 / 112 ] simplifiying candidate # 1545561417.946 * [enter]simplify: Simplifying (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) 1545561417.946 * * [misc]simplify: iters left: 6 (13 enodes) 1545561417.952 * * [misc]simplify: iters left: 5 (22 enodes) 1545561417.958 * * [misc]simplify: iters left: 4 (31 enodes) 1545561417.967 * * [misc]simplify: iters left: 3 (49 enodes) 1545561417.981 * * [misc]simplify: iters left: 2 (94 enodes) 1545561418.006 * * [misc]simplify: iters left: 1 (143 enodes) 1545561418.036 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) 1545561418.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (pow (* n 2) (/ k 2))))) 1545561418.036 * * * * [misc]progress: [ 46 / 112 ] simplifiying candidate # 1545561418.036 * * * * [misc]progress: [ 47 / 112 ] simplifiying candidate # 1545561418.036 * * * * [misc]progress: [ 48 / 112 ] simplifiying candidate # 1545561418.037 * [enter]simplify: Simplifying (* PI (* n 2)) 1545561418.037 * * [misc]simplify: iters left: 4 (5 enodes) 1545561418.038 * * [misc]simplify: iters left: 3 (9 enodes) 1545561418.041 * * [misc]simplify: iters left: 2 (15 enodes) 1545561418.045 * * [misc]simplify: iters left: 1 (17 enodes) 1545561418.048 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545561418.048 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1545561418.049 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561418.049 * * [misc]simplify: iters left: 4 (5 enodes) 1545561418.050 * * [misc]simplify: iters left: 3 (7 enodes) 1545561418.052 * * [misc]simplify: iters left: 2 (10 enodes) 1545561418.055 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561418.055 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1545561418.055 * * * * [misc]progress: [ 49 / 112 ] simplifiying candidate # 1545561418.055 * [enter]simplify: Simplifying (* (exp (log PI)) (* n 2)) 1545561418.055 * * [misc]simplify: iters left: 4 (7 enodes) 1545561418.057 * * [misc]simplify: iters left: 3 (11 enodes) 1545561418.060 * * [misc]simplify: iters left: 2 (19 enodes) 1545561418.065 * * [misc]simplify: iters left: 1 (22 enodes) 1545561418.069 * [exit]simplify: Simplified to (* n (* 2 PI)) 1545561418.069 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1545561418.069 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561418.069 * * [misc]simplify: iters left: 4 (5 enodes) 1545561418.071 * * [misc]simplify: iters left: 3 (7 enodes) 1545561418.073 * * [misc]simplify: iters left: 2 (10 enodes) 1545561418.075 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561418.075 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1545561418.075 * * * * [misc]progress: [ 50 / 112 ] simplifiying candidate # 1545561418.075 * * * * [misc]progress: [ 51 / 112 ] simplifiying candidate # 1545561418.076 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545561418.076 * * [misc]simplify: iters left: 6 (13 enodes) 1545561418.080 * * [misc]simplify: iters left: 5 (25 enodes) 1545561418.090 * * [misc]simplify: iters left: 4 (55 enodes) 1545561418.103 * * [misc]simplify: iters left: 3 (149 enodes) 1545561418.159 * * [misc]simplify: iters left: 2 (484 enodes) 1545561418.541 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545561418.541 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545561418.541 * * * * [misc]progress: [ 52 / 112 ] simplifiying candidate # 1545561418.542 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545561418.542 * * [misc]simplify: iters left: 6 (13 enodes) 1545561418.548 * * [misc]simplify: iters left: 5 (25 enodes) 1545561418.558 * * [misc]simplify: iters left: 4 (55 enodes) 1545561418.581 * * [misc]simplify: iters left: 3 (149 enodes) 1545561418.682 * * [misc]simplify: iters left: 2 (484 enodes) 1545561419.043 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545561419.043 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545561419.043 * * * * [misc]progress: [ 53 / 112 ] simplifiying candidate # 1545561419.044 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545561419.044 * * [misc]simplify: iters left: 6 (13 enodes) 1545561419.048 * * [misc]simplify: iters left: 5 (21 enodes) 1545561419.055 * * [misc]simplify: iters left: 4 (41 enodes) 1545561419.071 * * [misc]simplify: iters left: 3 (87 enodes) 1545561419.115 * * [misc]simplify: iters left: 2 (257 enodes) 1545561419.359 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545561419.359 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545561419.359 * * * * [misc]progress: [ 54 / 112 ] simplifiying candidate # 1545561419.359 * * * * [misc]progress: [ 55 / 112 ] simplifiying candidate # 1545561419.359 * * * * [misc]progress: [ 56 / 112 ] simplifiying candidate # 1545561419.360 * [enter]simplify: Simplifying (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545561419.360 * * [misc]simplify: iters left: 6 (17 enodes) 1545561419.365 * * [misc]simplify: iters left: 5 (33 enodes) 1545561419.370 * * [misc]simplify: iters left: 4 (77 enodes) 1545561419.385 * * [misc]simplify: iters left: 3 (171 enodes) 1545561419.435 * * [misc]simplify: iters left: 2 (386 enodes) 1545561419.600 * [exit]simplify: Simplified to (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* n 2) (- 1/2 (/ k 2))) 3)) 1545561419.600 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* n 2) (- 1/2 (/ k 2))) 3))) (sqrt k))) 1545561419.600 * * * * [misc]progress: [ 57 / 112 ] simplifiying candidate # 1545561419.600 * * * * [misc]progress: [ 58 / 112 ] simplifiying candidate # 1545561419.600 * * * * [misc]progress: [ 59 / 112 ] simplifiying candidate # 1545561419.600 * * * * [misc]progress: [ 60 / 112 ] simplifiying candidate # 1545561419.600 * * * * [misc]progress: [ 61 / 112 ] simplifiying candidate # 1545561419.601 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561419.601 * * [misc]simplify: iters left: 5 (7 enodes) 1545561419.603 * * [misc]simplify: iters left: 4 (10 enodes) 1545561419.606 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561419.606 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545561419.606 * * * * [misc]progress: [ 62 / 112 ] simplifiying candidate # 1545561419.607 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545561419.607 * * [misc]simplify: iters left: 5 (7 enodes) 1545561419.609 * * [misc]simplify: iters left: 4 (10 enodes) 1545561419.613 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545561419.613 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545561419.613 * * * * [misc]progress: [ 63 / 112 ] simplifiying candidate # 1545561419.613 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545561419.613 * * [misc]simplify: iters left: 5 (6 enodes) 1545561419.615 * * [misc]simplify: iters left: 4 (8 enodes) 1545561419.617 * * [misc]simplify: iters left: 3 (11 enodes) 1545561419.620 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545561419.621 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) 1545561419.621 * * * * [misc]progress: [ 64 / 112 ] simplifiying candidate # 1545561419.621 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561419.621 * * [misc]simplify: iters left: 6 (9 enodes) 1545561419.624 * * [misc]simplify: iters left: 5 (12 enodes) 1545561419.627 * * [misc]simplify: iters left: 4 (15 enodes) 1545561419.636 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561419.636 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.636 * * * * [misc]progress: [ 65 / 112 ] simplifiying candidate # 1545561419.636 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561419.636 * * [misc]simplify: iters left: 6 (9 enodes) 1545561419.639 * * [misc]simplify: iters left: 5 (12 enodes) 1545561419.642 * * [misc]simplify: iters left: 4 (15 enodes) 1545561419.647 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545561419.647 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.647 * * * * [misc]progress: [ 66 / 112 ] simplifiying candidate # 1545561419.647 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545561419.647 * * [misc]simplify: iters left: 5 (8 enodes) 1545561419.650 * * [misc]simplify: iters left: 4 (11 enodes) 1545561419.652 * * [misc]simplify: iters left: 3 (14 enodes) 1545561419.654 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545561419.654 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561419.654 * * * * [misc]progress: [ 67 / 112 ] simplifiying candidate # 1545561419.654 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545561419.654 * * [misc]simplify: iters left: 4 (5 enodes) 1545561419.655 * * [misc]simplify: iters left: 3 (9 enodes) 1545561419.656 * * [misc]simplify: iters left: 2 (11 enodes) 1545561419.658 * * [misc]simplify: iters left: 1 (13 enodes) 1545561419.660 * [exit]simplify: Simplified to (sqrt PI) 1545561419.660 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.660 * * * * [misc]progress: [ 68 / 112 ] simplifiying candidate # 1545561419.660 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545561419.660 * * [misc]simplify: iters left: 4 (5 enodes) 1545561419.661 * * [misc]simplify: iters left: 3 (9 enodes) 1545561419.662 * * [misc]simplify: iters left: 2 (11 enodes) 1545561419.664 * * [misc]simplify: iters left: 1 (13 enodes) 1545561419.665 * [exit]simplify: Simplified to (sqrt PI) 1545561419.666 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.666 * * * * [misc]progress: [ 69 / 112 ] simplifiying candidate # 1545561419.666 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545561419.666 * * [misc]simplify: iters left: 4 (5 enodes) 1545561419.667 * * [misc]simplify: iters left: 3 (8 enodes) 1545561419.668 * * [misc]simplify: iters left: 2 (9 enodes) 1545561419.670 * * [misc]simplify: iters left: 1 (12 enodes) 1545561419.672 * [exit]simplify: Simplified to (sqrt PI) 1545561419.672 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.672 * * * * [misc]progress: [ 70 / 112 ] simplifiying candidate # 1545561419.672 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545561419.672 * * [misc]simplify: iters left: 4 (5 enodes) 1545561419.673 * * [misc]simplify: iters left: 3 (8 enodes) 1545561419.675 * * [misc]simplify: iters left: 2 (9 enodes) 1545561419.676 * * [misc]simplify: iters left: 1 (12 enodes) 1545561419.678 * [exit]simplify: Simplified to (sqrt PI) 1545561419.678 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.678 * * * * [misc]progress: [ 71 / 112 ] simplifiying candidate # 1545561419.678 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1545561419.678 * * [misc]simplify: iters left: 6 (11 enodes) 1545561419.680 * * [misc]simplify: iters left: 5 (17 enodes) 1545561419.683 * * [misc]simplify: iters left: 4 (26 enodes) 1545561419.692 * * [misc]simplify: iters left: 3 (44 enodes) 1545561419.706 * * [misc]simplify: iters left: 2 (85 enodes) 1545561419.731 * * [misc]simplify: iters left: 1 (125 enodes) 1545561419.759 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545561419.759 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.760 * * * * [misc]progress: [ 72 / 112 ] simplifiying candidate # 1545561419.760 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1545561419.760 * * [misc]simplify: iters left: 6 (10 enodes) 1545561419.765 * * [misc]simplify: iters left: 5 (16 enodes) 1545561419.770 * * [misc]simplify: iters left: 4 (25 enodes) 1545561419.778 * * [misc]simplify: iters left: 3 (43 enodes) 1545561419.792 * * [misc]simplify: iters left: 2 (84 enodes) 1545561419.816 * * [misc]simplify: iters left: 1 (124 enodes) 1545561419.843 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545561419.843 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545561419.844 * * * * [misc]progress: [ 73 / 112 ] simplifiying candidate # 1545561419.844 * * * * [misc]progress: [ 74 / 112 ] simplifiying candidate # 1545561419.844 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545561419.844 * * [misc]simplify: iters left: 3 (6 enodes) 1545561419.846 * * [misc]simplify: iters left: 2 (7 enodes) 1545561419.848 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545561419.848 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))) 1545561419.848 * * * * [misc]progress: [ 75 / 112 ] simplifiying candidate # 1545561419.848 * * * * [misc]progress: [ 76 / 112 ] simplifiying candidate # 1545561419.848 * * * * [misc]progress: [ 77 / 112 ] simplifiying candidate # 1545561419.848 * * * * [misc]progress: [ 78 / 112 ] simplifiying candidate # 1545561419.849 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1545561419.849 * * [misc]simplify: iters left: 6 (8 enodes) 1545561419.851 * * [misc]simplify: iters left: 5 (11 enodes) 1545561419.855 * * [misc]simplify: iters left: 4 (20 enodes) 1545561419.862 * * [misc]simplify: iters left: 3 (32 enodes) 1545561419.872 * * [misc]simplify: iters left: 2 (49 enodes) 1545561419.886 * * [misc]simplify: iters left: 1 (59 enodes) 1545561419.896 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1545561419.896 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561419.896 * * * * [misc]progress: [ 79 / 112 ] simplifiying candidate # 1545561419.896 * * * * [misc]progress: [ 80 / 112 ] simplifiying candidate # 1545561419.896 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1545561419.896 * * [misc]simplify: iters left: 6 (10 enodes) 1545561419.898 * * [misc]simplify: iters left: 5 (13 enodes) 1545561419.900 * * [misc]simplify: iters left: 4 (16 enodes) 1545561419.902 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1545561419.902 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561419.902 * * * * [misc]progress: [ 81 / 112 ] simplifiying candidate # 1545561419.902 * * * * [misc]progress: [ 82 / 112 ] simplifiying candidate # 1545561419.902 * * * * [misc]progress: [ 83 / 112 ] simplifiying candidate # 1545561419.902 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1545561419.902 * * [misc]simplify: iters left: 6 (12 enodes) 1545561419.906 * * [misc]simplify: iters left: 5 (21 enodes) 1545561419.910 * * [misc]simplify: iters left: 4 (67 enodes) 1545561419.941 * * [misc]simplify: iters left: 3 (327 enodes) 1545561420.411 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1545561420.411 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.411 * * * * [misc]progress: [ 84 / 112 ] simplifiying candidate # 1545561420.411 * * * * [misc]progress: [ 85 / 112 ] simplifiying candidate # 1545561420.411 * * * * [misc]progress: [ 86 / 112 ] simplifiying candidate # 1545561420.411 * * * * [misc]progress: [ 87 / 112 ] simplifiying candidate # 1545561420.412 * * * * [misc]progress: [ 88 / 112 ] simplifiying candidate # 1545561420.412 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545561420.412 * * [misc]simplify: iters left: 6 (7 enodes) 1545561420.414 * * [misc]simplify: iters left: 5 (12 enodes) 1545561420.417 * * [misc]simplify: iters left: 4 (22 enodes) 1545561420.423 * * [misc]simplify: iters left: 3 (35 enodes) 1545561420.431 * * [misc]simplify: iters left: 2 (42 enodes) 1545561420.440 * * [misc]simplify: iters left: 1 (47 enodes) 1545561420.451 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545561420.451 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.451 * * * * [misc]progress: [ 89 / 112 ] simplifiying candidate # 1545561420.452 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545561420.452 * * [misc]simplify: iters left: 6 (7 enodes) 1545561420.454 * * [misc]simplify: iters left: 5 (12 enodes) 1545561420.457 * * [misc]simplify: iters left: 4 (22 enodes) 1545561420.463 * * [misc]simplify: iters left: 3 (35 enodes) 1545561420.471 * * [misc]simplify: iters left: 2 (42 enodes) 1545561420.481 * * [misc]simplify: iters left: 1 (47 enodes) 1545561420.492 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545561420.492 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.492 * * * * [misc]progress: [ 90 / 112 ] simplifiying candidate # 1545561420.492 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545561420.492 * * [misc]simplify: iters left: 6 (7 enodes) 1545561420.494 * * [misc]simplify: iters left: 5 (12 enodes) 1545561420.498 * * [misc]simplify: iters left: 4 (22 enodes) 1545561420.503 * * [misc]simplify: iters left: 3 (32 enodes) 1545561420.511 * * [misc]simplify: iters left: 2 (36 enodes) 1545561420.519 * * [misc]simplify: iters left: 1 (43 enodes) 1545561420.530 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545561420.530 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.530 * * * * [misc]progress: [ 91 / 112 ] simplifiying candidate # 1545561420.531 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545561420.531 * * [misc]simplify: iters left: 6 (7 enodes) 1545561420.533 * * [misc]simplify: iters left: 5 (12 enodes) 1545561420.536 * * [misc]simplify: iters left: 4 (22 enodes) 1545561420.542 * * [misc]simplify: iters left: 3 (32 enodes) 1545561420.549 * * [misc]simplify: iters left: 2 (36 enodes) 1545561420.556 * * [misc]simplify: iters left: 1 (43 enodes) 1545561420.566 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545561420.567 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.567 * * * * [misc]progress: [ 92 / 112 ] simplifiying candidate # 1545561420.567 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545561420.567 * * [misc]simplify: iters left: 5 (6 enodes) 1545561420.569 * * [misc]simplify: iters left: 4 (8 enodes) 1545561420.571 * * [misc]simplify: iters left: 3 (11 enodes) 1545561420.574 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545561420.574 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.574 * * * * [misc]progress: [ 93 / 112 ] simplifiying candidate # 1545561420.574 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545561420.574 * * [misc]simplify: iters left: 5 (6 enodes) 1545561420.576 * * [misc]simplify: iters left: 4 (8 enodes) 1545561420.578 * * [misc]simplify: iters left: 3 (11 enodes) 1545561420.580 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545561420.580 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.580 * * * * [misc]progress: [ 94 / 112 ] simplifiying candidate # 1545561420.580 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545561420.580 * * [misc]simplify: iters left: 4 (5 enodes) 1545561420.581 * * [misc]simplify: iters left: 3 (7 enodes) 1545561420.582 * * [misc]simplify: iters left: 2 (10 enodes) 1545561420.584 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545561420.584 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.584 * * * * [misc]progress: [ 95 / 112 ] simplifiying candidate # 1545561420.584 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1545561420.584 * * [misc]simplify: iters left: 4 (4 enodes) 1545561420.585 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1545561420.585 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.585 * * * * [misc]progress: [ 96 / 112 ] simplifiying candidate # 1545561420.585 * [enter]simplify: Simplifying (sqrt (log PI)) 1545561420.585 * * [misc]simplify: iters left: 2 (3 enodes) 1545561420.585 * [exit]simplify: Simplified to (sqrt (log PI)) 1545561420.585 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.585 * * * * [misc]progress: [ 97 / 112 ] simplifiying candidate # 1545561420.586 * * * * [misc]progress: [ 98 / 112 ] simplifiying candidate # 1545561420.586 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1545561420.586 * * [misc]simplify: iters left: 6 (9 enodes) 1545561420.588 * * [misc]simplify: iters left: 5 (25 enodes) 1545561420.592 * * [misc]simplify: iters left: 4 (44 enodes) 1545561420.600 * * [misc]simplify: iters left: 3 (64 enodes) 1545561420.619 * * [misc]simplify: iters left: 2 (85 enodes) 1545561420.638 * * [misc]simplify: iters left: 1 (112 enodes) 1545561420.671 * [exit]simplify: Simplified to (fma k (fma k 1/4 1/4) 1/4) 1545561420.671 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (fma k (fma k 1/4 1/4) 1/4))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.671 * * * * [misc]progress: [ 99 / 112 ] simplifiying candidate # 1545561420.672 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1545561420.672 * * [misc]simplify: iters left: 4 (5 enodes) 1545561420.672 * * [misc]simplify: iters left: 3 (6 enodes) 1545561420.673 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1545561420.673 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561420.673 * * * * [misc]progress: [ 100 / 112 ] simplifiying candidate # 1545561420.673 * * * * [misc]progress: [ 101 / 112 ] simplifiying candidate # 1545561420.674 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545561420.674 * * [misc]simplify: iters left: 6 (35 enodes) 1545561420.682 * * [misc]simplify: iters left: 5 (102 enodes) 1545561420.716 * * [misc]simplify: iters left: 4 (321 enodes) 1545561420.923 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545561420.923 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))) (sqrt k))) 1545561420.923 * * * * [misc]progress: [ 102 / 112 ] simplifiying candidate # 1545561420.924 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545561420.924 * * [misc]simplify: iters left: 6 (13 enodes) 1545561420.927 * * [misc]simplify: iters left: 5 (27 enodes) 1545561420.931 * * [misc]simplify: iters left: 4 (53 enodes) 1545561420.947 * * [misc]simplify: iters left: 3 (124 enodes) 1545561421.024 * * [misc]simplify: iters left: 2 (394 enodes) 1545561421.600 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545561421.600 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (fma -1/2 k 1/2))) (sqrt k))) 1545561421.600 * * * * [misc]progress: [ 103 / 112 ] simplifiying candidate # 1545561421.600 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545561421.600 * * [misc]simplify: iters left: 6 (13 enodes) 1545561421.606 * * [misc]simplify: iters left: 5 (24 enodes) 1545561421.615 * * [misc]simplify: iters left: 4 (54 enodes) 1545561421.638 * * [misc]simplify: iters left: 3 (151 enodes) 1545561421.717 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545561421.717 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))) (sqrt k))) 1545561421.717 * * * * [misc]progress: [ 104 / 112 ] simplifiying candidate # 1545561421.718 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545561421.718 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561421.718 * * * * [misc]progress: [ 105 / 112 ] simplifiying candidate # 1545561421.718 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545561421.718 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561421.718 * * * * [misc]progress: [ 106 / 112 ] simplifiying candidate # 1545561421.719 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545561421.719 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545561421.719 * * * * [misc]progress: [ 107 / 112 ] simplifiying candidate # 1545561421.719 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545561421.719 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545561421.719 * * * * [misc]progress: [ 108 / 112 ] simplifiying candidate # 1545561421.719 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545561421.719 * * [misc]simplify: iters left: 6 (16 enodes) 1545561421.723 * * [misc]simplify: iters left: 5 (31 enodes) 1545561421.728 * * [misc]simplify: iters left: 4 (57 enodes) 1545561421.739 * * [misc]simplify: iters left: 3 (128 enodes) 1545561421.807 * * [misc]simplify: iters left: 2 (406 enodes) 1545561422.376 * [exit]simplify: Simplified to (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1545561422.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt k))) 1545561422.376 * * * * [misc]progress: [ 109 / 112 ] simplifiying candidate # 1545561422.376 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545561422.376 * * [misc]simplify: iters left: 6 (16 enodes) 1545561422.380 * * [misc]simplify: iters left: 5 (28 enodes) 1545561422.386 * * [misc]simplify: iters left: 4 (58 enodes) 1545561422.403 * * [misc]simplify: iters left: 3 (155 enodes) 1545561422.515 * [exit]simplify: Simplified to (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) 1545561422.515 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) (sqrt k))) 1545561422.515 * * * * [misc]progress: [ 110 / 112 ] simplifiying candidate # 1545561422.516 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561422.516 * * [misc]simplify: iters left: 6 (8 enodes) 1545561422.519 * * [misc]simplify: iters left: 5 (17 enodes) 1545561422.526 * * [misc]simplify: iters left: 4 (38 enodes) 1545561422.540 * * [misc]simplify: iters left: 3 (68 enodes) 1545561422.554 * * [misc]simplify: iters left: 2 (90 enodes) 1545561422.566 * * [misc]simplify: iters left: 1 (105 enodes) 1545561422.598 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1545561422.598 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (fma k -1/2 1/2) (log PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561422.598 * * * * [misc]progress: [ 111 / 112 ] simplifiying candidate # 1545561422.598 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561422.598 * * [misc]simplify: iters left: 6 (8 enodes) 1545561422.601 * * [misc]simplify: iters left: 5 (17 enodes) 1545561422.608 * * [misc]simplify: iters left: 4 (38 enodes) 1545561422.621 * * [misc]simplify: iters left: 3 (68 enodes) 1545561422.641 * * [misc]simplify: iters left: 2 (90 enodes) 1545561422.652 * * [misc]simplify: iters left: 1 (105 enodes) 1545561422.680 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1545561422.680 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (fma k -1/2 1/2) (log PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561422.680 * * * * [misc]progress: [ 112 / 112 ] simplifiying candidate # 1545561422.680 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545561422.680 * * [misc]simplify: iters left: 6 (8 enodes) 1545561422.683 * * [misc]simplify: iters left: 5 (17 enodes) 1545561422.690 * * [misc]simplify: iters left: 4 (38 enodes) 1545561422.705 * * [misc]simplify: iters left: 3 (68 enodes) 1545561422.726 * * [misc]simplify: iters left: 2 (90 enodes) 1545561422.750 * * [misc]simplify: iters left: 1 (105 enodes) 1545561422.799 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1545561422.799 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (fma k -1/2 1/2) (log PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545561422.800 * * * [misc]progress: adding candidates to table 1545561424.636 * [misc]progress: [Phase 3 of 3] Extracting. 1545561424.636 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545561424.638 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545561424.638 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545561424.715 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545561424.799 * * * [misc]regime: Found split indices: #