1543751803.119 * [misc]progress: [Phase 1 of 3] Setting up. 1543751803.119 * * * [misc]progress: [1/2] Preparing points 1543751803.120 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1543751803.242 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.242 * * * * [misc]points: Sampling 184 additional inputs, on iter 1 have 72 / 256 1543751803.369 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.369 * * * * [misc]points: Sampling 141 additional inputs, on iter 2 have 115 / 256 1543751803.435 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.435 * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 147 / 256 1543751803.508 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.508 * * * * [misc]points: Sampling 82 additional inputs, on iter 4 have 174 / 256 1543751803.543 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.543 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1543751803.576 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.576 * * * * [misc]points: Sampling 39 additional inputs, on iter 6 have 217 / 256 1543751803.589 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.589 * * * * [misc]points: Sampling 28 additional inputs, on iter 7 have 228 / 256 1543751803.598 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.598 * * * * [misc]points: Sampling 22 additional inputs, on iter 8 have 234 / 256 1543751803.606 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.606 * * * * [misc]points: Sampling 18 additional inputs, on iter 9 have 238 / 256 1543751803.613 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.613 * * * * [misc]points: Sampling 13 additional inputs, on iter 10 have 243 / 256 1543751803.619 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.619 * * * * [misc]points: Sampling 9 additional inputs, on iter 11 have 247 / 256 1543751803.624 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.624 * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 1543751803.628 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.628 * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 1543751803.676 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.676 * * * * [misc]points: Sampling 5 additional inputs, on iter 14 have 251 / 256 1543751803.682 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.682 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 253 / 256 1543751803.685 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.685 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 1543751803.688 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.688 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 1543751803.692 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.692 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1543751803.695 * * * * [misc]points: Filtering points with unrepresentable outputs 1543751803.695 * * * * [exit]points: Sampled 256 points with exact outputs 1543751803.695 * * * [misc]progress: [2/2] Setting up program. 1543751803.707 * [misc]progress: [Phase 2 of 3] Improving. 1543751803.707 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1543751803.708 * * [misc]simplify: iters left: 6 (13 enodes) 1543751803.716 * * [misc]simplify: iters left: 5 (28 enodes) 1543751803.727 * * [misc]simplify: iters left: 4 (44 enodes) 1543751803.743 * * [misc]simplify: iters left: 3 (54 enodes) 1543751803.756 * * [misc]simplify: iters left: 2 (57 enodes) 1543751803.769 * * [misc]simplify: iters left: 1 (65 enodes) 1543751803.792 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1543751803.824 * * [misc]progress: iteration 1 / 4 1543751803.825 * * * [misc]progress: picking best candidate 1543751803.839 * * * * [misc]pick: Picked # 1543751803.839 * * * [misc]progress: localizing error 1543751803.872 * * * [misc]progress: generating rewritten candidates 1543751803.872 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1543751803.892 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1543751803.911 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1543751803.975 * * * [misc]progress: generating series expansions 1543751803.975 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1543751803.975 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1543751803.975 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1543751803.975 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751803.975 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751803.975 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751803.975 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751803.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751803.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.975 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751803.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751803.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.976 * [misc]taylor: Taking taylor expansion of k in k 1543751803.976 * [misc]backup-simplify: Simplify 0 into 0 1543751803.976 * [misc]backup-simplify: Simplify 1 into 1 1543751803.976 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751803.976 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751803.976 * [misc]taylor: Taking taylor expansion of 2 in k 1543751803.976 * [misc]backup-simplify: Simplify 2 into 2 1543751803.976 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751803.976 * [misc]taylor: Taking taylor expansion of n in k 1543751803.976 * [misc]backup-simplify: Simplify n into n 1543751803.976 * [misc]taylor: Taking taylor expansion of PI in k 1543751803.976 * [misc]backup-simplify: Simplify PI into PI 1543751803.976 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751803.976 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751803.976 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751803.977 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751803.977 * [misc]backup-simplify: Simplify (- 0) into 0 1543751803.977 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751803.977 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751803.978 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751803.978 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751803.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.978 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751803.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.978 * [misc]taylor: Taking taylor expansion of k in n 1543751803.978 * [misc]backup-simplify: Simplify k into k 1543751803.978 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of 2 in n 1543751803.978 * [misc]backup-simplify: Simplify 2 into 2 1543751803.978 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751803.978 * [misc]taylor: Taking taylor expansion of n in n 1543751803.978 * [misc]backup-simplify: Simplify 0 into 0 1543751803.978 * [misc]backup-simplify: Simplify 1 into 1 1543751803.978 * [misc]taylor: Taking taylor expansion of PI in n 1543751803.978 * [misc]backup-simplify: Simplify PI into PI 1543751803.979 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751803.979 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751803.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751803.981 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751803.981 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751803.981 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751803.981 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751803.981 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751803.982 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751803.983 * [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)))) 1543751803.984 * [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))))) 1543751803.984 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751803.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.984 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751803.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.984 * [misc]taylor: Taking taylor expansion of k in n 1543751803.984 * [misc]backup-simplify: Simplify k into k 1543751803.984 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of 2 in n 1543751803.984 * [misc]backup-simplify: Simplify 2 into 2 1543751803.984 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751803.984 * [misc]taylor: Taking taylor expansion of n in n 1543751803.984 * [misc]backup-simplify: Simplify 0 into 0 1543751803.984 * [misc]backup-simplify: Simplify 1 into 1 1543751803.984 * [misc]taylor: Taking taylor expansion of PI in n 1543751803.985 * [misc]backup-simplify: Simplify PI into PI 1543751803.985 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751803.985 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751803.986 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751803.986 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751803.987 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751803.987 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751803.987 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751803.987 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751803.988 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751803.989 * [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)))) 1543751803.990 * [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))))) 1543751803.990 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751803.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.990 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751803.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751803.990 * [misc]taylor: Taking taylor expansion of k in k 1543751803.990 * [misc]backup-simplify: Simplify 0 into 0 1543751803.990 * [misc]backup-simplify: Simplify 1 into 1 1543751803.990 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of n in k 1543751803.990 * [misc]backup-simplify: Simplify n into n 1543751803.990 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751803.990 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1543751803.990 * [misc]taylor: Taking taylor expansion of 2 in k 1543751803.990 * [misc]backup-simplify: Simplify 2 into 2 1543751803.990 * [misc]taylor: Taking taylor expansion of PI in k 1543751803.990 * [misc]backup-simplify: Simplify PI into PI 1543751803.991 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751803.991 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751803.991 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751803.992 * [misc]backup-simplify: Simplify (- 0) into 0 1543751803.992 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751803.992 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751803.993 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1543751803.994 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1543751803.995 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1543751803.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751803.997 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751804.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751804.001 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751804.001 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.002 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.003 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1543751804.005 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751804.005 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.005 * [misc]backup-simplify: Simplify 0 into 0 1543751804.005 * [misc]backup-simplify: Simplify 0 into 0 1543751804.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751804.006 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751804.009 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751804.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.010 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751804.010 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751804.010 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751804.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1543751804.013 * [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))))))) 1543751804.015 * [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))))))) 1543751804.017 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1543751804.025 * [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 1543751804.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751804.025 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.026 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.027 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1543751804.030 * [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 1543751804.030 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.030 * [misc]backup-simplify: Simplify 0 into 0 1543751804.030 * [misc]backup-simplify: Simplify 0 into 0 1543751804.030 * [misc]backup-simplify: Simplify 0 into 0 1543751804.032 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751804.033 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.039 * [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 1543751804.039 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751804.040 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1543751804.049 * [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))))) 1543751804.053 * [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))))) 1543751804.063 * [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))))) 1543751804.063 * [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)))) 1543751804.064 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1543751804.064 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of k in k 1543751804.064 * [misc]backup-simplify: Simplify 0 into 0 1543751804.064 * [misc]backup-simplify: Simplify 1 into 1 1543751804.064 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.064 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of 2 in k 1543751804.064 * [misc]backup-simplify: Simplify 2 into 2 1543751804.064 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751804.064 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.064 * [misc]backup-simplify: Simplify PI into PI 1543751804.064 * [misc]taylor: Taking taylor expansion of n in k 1543751804.065 * [misc]backup-simplify: Simplify n into n 1543751804.065 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751804.065 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751804.065 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751804.065 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.065 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751804.065 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751804.066 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751804.066 * [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)))) 1543751804.066 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751804.066 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751804.066 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751804.066 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751804.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.066 * [misc]taylor: Taking taylor expansion of k in n 1543751804.066 * [misc]backup-simplify: Simplify k into k 1543751804.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.066 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751804.067 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751804.067 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.067 * [misc]backup-simplify: Simplify 2 into 2 1543751804.067 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.067 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.067 * [misc]backup-simplify: Simplify PI into PI 1543751804.067 * [misc]taylor: Taking taylor expansion of n in n 1543751804.067 * [misc]backup-simplify: Simplify 0 into 0 1543751804.067 * [misc]backup-simplify: Simplify 1 into 1 1543751804.067 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.067 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.068 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751804.068 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751804.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.070 * [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))) 1543751804.071 * [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)))) 1543751804.071 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of k in n 1543751804.071 * [misc]backup-simplify: Simplify k into k 1543751804.071 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.071 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.071 * [misc]backup-simplify: Simplify 2 into 2 1543751804.071 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.071 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.071 * [misc]backup-simplify: Simplify PI into PI 1543751804.071 * [misc]taylor: Taking taylor expansion of n in n 1543751804.071 * [misc]backup-simplify: Simplify 0 into 0 1543751804.071 * [misc]backup-simplify: Simplify 1 into 1 1543751804.072 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.072 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.073 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.073 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751804.073 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751804.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.074 * [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))) 1543751804.075 * [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)))) 1543751804.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1543751804.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1543751804.075 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751804.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.076 * [misc]taylor: Taking taylor expansion of k in k 1543751804.076 * [misc]backup-simplify: Simplify 0 into 0 1543751804.076 * [misc]backup-simplify: Simplify 1 into 1 1543751804.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.076 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1543751804.076 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1543751804.076 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1543751804.076 * [misc]taylor: Taking taylor expansion of 2 in k 1543751804.076 * [misc]backup-simplify: Simplify 2 into 2 1543751804.076 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.076 * [misc]backup-simplify: Simplify PI into PI 1543751804.076 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.077 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.077 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751804.077 * [misc]taylor: Taking taylor expansion of n in k 1543751804.077 * [misc]backup-simplify: Simplify n into n 1543751804.077 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751804.077 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.077 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751804.078 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751804.078 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751804.078 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1543751804.079 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1543751804.080 * [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)))) 1543751804.080 * [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)))) 1543751804.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751804.082 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751804.086 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751804.086 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751804.086 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751804.086 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.087 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.088 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1543751804.090 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751804.090 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.090 * [misc]backup-simplify: Simplify 0 into 0 1543751804.090 * [misc]backup-simplify: Simplify 0 into 0 1543751804.090 * [misc]backup-simplify: Simplify 0 into 0 1543751804.092 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.093 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.100 * [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 1543751804.100 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751804.101 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.102 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.102 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1543751804.104 * [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 1543751804.104 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.104 * [misc]backup-simplify: Simplify 0 into 0 1543751804.104 * [misc]backup-simplify: Simplify 0 into 0 1543751804.104 * [misc]backup-simplify: Simplify 0 into 0 1543751804.104 * [misc]backup-simplify: Simplify 0 into 0 1543751804.106 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.107 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.112 * [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 1543751804.112 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751804.113 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.113 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.114 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1543751804.116 * [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 1543751804.116 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.116 * [misc]backup-simplify: Simplify 0 into 0 1543751804.116 * [misc]backup-simplify: Simplify 0 into 0 1543751804.117 * [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))))) 1543751804.117 * [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)) 1543751804.117 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1543751804.117 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of k in k 1543751804.117 * [misc]backup-simplify: Simplify 0 into 0 1543751804.117 * [misc]backup-simplify: Simplify 1 into 1 1543751804.117 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.117 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751804.117 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751804.118 * [misc]taylor: Taking taylor expansion of -2 in k 1543751804.118 * [misc]backup-simplify: Simplify -2 into -2 1543751804.118 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751804.118 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.118 * [misc]backup-simplify: Simplify PI into PI 1543751804.118 * [misc]taylor: Taking taylor expansion of n in k 1543751804.118 * [misc]backup-simplify: Simplify n into n 1543751804.118 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751804.118 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751804.118 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751804.118 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.118 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751804.118 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751804.118 * [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))) 1543751804.118 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751804.118 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751804.118 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751804.118 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751804.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.119 * [misc]taylor: Taking taylor expansion of k in n 1543751804.119 * [misc]backup-simplify: Simplify k into k 1543751804.119 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.119 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.119 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751804.119 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751804.119 * [misc]taylor: Taking taylor expansion of -2 in n 1543751804.119 * [misc]backup-simplify: Simplify -2 into -2 1543751804.119 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.119 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.119 * [misc]backup-simplify: Simplify PI into PI 1543751804.119 * [misc]taylor: Taking taylor expansion of n in n 1543751804.119 * [misc]backup-simplify: Simplify 0 into 0 1543751804.119 * [misc]backup-simplify: Simplify 1 into 1 1543751804.119 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.119 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.120 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751804.120 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.120 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751804.121 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.121 * [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))) 1543751804.121 * [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)))) 1543751804.121 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of k in n 1543751804.122 * [misc]backup-simplify: Simplify k into k 1543751804.122 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.122 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of -2 in n 1543751804.122 * [misc]backup-simplify: Simplify -2 into -2 1543751804.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.122 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.122 * [misc]backup-simplify: Simplify PI into PI 1543751804.122 * [misc]taylor: Taking taylor expansion of n in n 1543751804.122 * [misc]backup-simplify: Simplify 0 into 0 1543751804.122 * [misc]backup-simplify: Simplify 1 into 1 1543751804.122 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.122 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.123 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751804.123 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.123 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751804.123 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.124 * [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))) 1543751804.124 * [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)))) 1543751804.124 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1543751804.124 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1543751804.124 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751804.124 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.124 * [misc]taylor: Taking taylor expansion of k in k 1543751804.124 * [misc]backup-simplify: Simplify 0 into 0 1543751804.124 * [misc]backup-simplify: Simplify 1 into 1 1543751804.125 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.125 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1543751804.125 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1543751804.125 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1543751804.125 * [misc]taylor: Taking taylor expansion of -2 in k 1543751804.125 * [misc]backup-simplify: Simplify -2 into -2 1543751804.125 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.125 * [misc]backup-simplify: Simplify PI into PI 1543751804.125 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.125 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751804.125 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751804.125 * [misc]taylor: Taking taylor expansion of n in k 1543751804.125 * [misc]backup-simplify: Simplify n into n 1543751804.125 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751804.125 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.126 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751804.126 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751804.126 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1543751804.126 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1543751804.127 * [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)))) 1543751804.127 * [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)))) 1543751804.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751804.129 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751804.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1543751804.131 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751804.131 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751804.131 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.131 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.132 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1543751804.133 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751804.133 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.133 * [misc]backup-simplify: Simplify 0 into 0 1543751804.133 * [misc]backup-simplify: Simplify 0 into 0 1543751804.133 * [misc]backup-simplify: Simplify 0 into 0 1543751804.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.134 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.138 * [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 1543751804.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751804.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.139 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.139 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1543751804.141 * [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 1543751804.141 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.141 * [misc]backup-simplify: Simplify 0 into 0 1543751804.141 * [misc]backup-simplify: Simplify 0 into 0 1543751804.141 * [misc]backup-simplify: Simplify 0 into 0 1543751804.141 * [misc]backup-simplify: Simplify 0 into 0 1543751804.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.143 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.149 * [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 1543751804.149 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751804.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.150 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.151 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1543751804.153 * [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 1543751804.153 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.153 * [misc]backup-simplify: Simplify 0 into 0 1543751804.153 * [misc]backup-simplify: Simplify 0 into 0 1543751804.154 * [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))))) 1543751804.154 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1543751804.154 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1543751804.154 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1543751804.154 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751804.154 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.154 * [misc]backup-simplify: Simplify 2 into 2 1543751804.154 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751804.155 * [misc]taylor: Taking taylor expansion of n in n 1543751804.155 * [misc]backup-simplify: Simplify 0 into 0 1543751804.155 * [misc]backup-simplify: Simplify 1 into 1 1543751804.155 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.155 * [misc]backup-simplify: Simplify PI into PI 1543751804.155 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751804.155 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.155 * [misc]backup-simplify: Simplify 2 into 2 1543751804.155 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751804.155 * [misc]taylor: Taking taylor expansion of n in n 1543751804.155 * [misc]backup-simplify: Simplify 0 into 0 1543751804.155 * [misc]backup-simplify: Simplify 1 into 1 1543751804.155 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.155 * [misc]backup-simplify: Simplify PI into PI 1543751804.155 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751804.155 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751804.155 * [misc]backup-simplify: Simplify 0 into 0 1543751804.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751804.156 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751804.156 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.157 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751804.158 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751804.158 * [misc]backup-simplify: Simplify 0 into 0 1543751804.159 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.160 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1543751804.160 * [misc]backup-simplify: Simplify 0 into 0 1543751804.162 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751804.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1543751804.165 * [misc]backup-simplify: Simplify 0 into 0 1543751804.170 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1543751804.173 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1543751804.173 * [misc]backup-simplify: Simplify 0 into 0 1543751804.177 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1543751804.180 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1543751804.180 * [misc]backup-simplify: Simplify 0 into 0 1543751804.185 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1543751804.190 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1543751804.190 * [misc]backup-simplify: Simplify 0 into 0 1543751804.190 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1543751804.190 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1543751804.190 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1543751804.190 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751804.190 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.190 * [misc]backup-simplify: Simplify 2 into 2 1543751804.190 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.191 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.191 * [misc]backup-simplify: Simplify PI into PI 1543751804.191 * [misc]taylor: Taking taylor expansion of n in n 1543751804.191 * [misc]backup-simplify: Simplify 0 into 0 1543751804.191 * [misc]backup-simplify: Simplify 1 into 1 1543751804.191 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.191 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751804.191 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.191 * [misc]backup-simplify: Simplify 2 into 2 1543751804.191 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.191 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.191 * [misc]backup-simplify: Simplify PI into PI 1543751804.191 * [misc]taylor: Taking taylor expansion of n in n 1543751804.191 * [misc]backup-simplify: Simplify 0 into 0 1543751804.191 * [misc]backup-simplify: Simplify 1 into 1 1543751804.192 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.193 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751804.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751804.194 * [misc]backup-simplify: Simplify 0 into 0 1543751804.196 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.197 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.197 * [misc]backup-simplify: Simplify 0 into 0 1543751804.199 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.201 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.201 * [misc]backup-simplify: Simplify 0 into 0 1543751804.203 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.205 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751804.205 * [misc]backup-simplify: Simplify 0 into 0 1543751804.208 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.211 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1543751804.211 * [misc]backup-simplify: Simplify 0 into 0 1543751804.213 * [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 1543751804.217 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1543751804.217 * [misc]backup-simplify: Simplify 0 into 0 1543751804.217 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1543751804.218 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1543751804.218 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1543751804.218 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751804.218 * [misc]taylor: Taking taylor expansion of -2 in n 1543751804.218 * [misc]backup-simplify: Simplify -2 into -2 1543751804.218 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.218 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.218 * [misc]backup-simplify: Simplify PI into PI 1543751804.218 * [misc]taylor: Taking taylor expansion of n in n 1543751804.218 * [misc]backup-simplify: Simplify 0 into 0 1543751804.218 * [misc]backup-simplify: Simplify 1 into 1 1543751804.218 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.218 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751804.218 * [misc]taylor: Taking taylor expansion of -2 in n 1543751804.218 * [misc]backup-simplify: Simplify -2 into -2 1543751804.219 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.219 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.219 * [misc]backup-simplify: Simplify PI into PI 1543751804.219 * [misc]taylor: Taking taylor expansion of n in n 1543751804.219 * [misc]backup-simplify: Simplify 0 into 0 1543751804.219 * [misc]backup-simplify: Simplify 1 into 1 1543751804.219 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.219 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.220 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.221 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751804.222 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751804.222 * [misc]backup-simplify: Simplify 0 into 0 1543751804.223 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.224 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.224 * [misc]backup-simplify: Simplify 0 into 0 1543751804.226 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.228 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.228 * [misc]backup-simplify: Simplify 0 into 0 1543751804.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.232 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751804.232 * [misc]backup-simplify: Simplify 0 into 0 1543751804.235 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.237 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1543751804.238 * [misc]backup-simplify: Simplify 0 into 0 1543751804.240 * [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 1543751804.244 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1543751804.244 * [misc]backup-simplify: Simplify 0 into 0 1543751804.244 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1543751804.244 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1543751804.245 * [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)))) 1543751804.245 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1543751804.245 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1543751804.245 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751804.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.245 * [misc]taylor: Taking taylor expansion of k in k 1543751804.245 * [misc]backup-simplify: Simplify 0 into 0 1543751804.245 * [misc]backup-simplify: Simplify 1 into 1 1543751804.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.246 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751804.246 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751804.246 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751804.246 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751804.246 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751804.246 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751804.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.246 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751804.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.247 * [misc]taylor: Taking taylor expansion of k in k 1543751804.247 * [misc]backup-simplify: Simplify 0 into 0 1543751804.247 * [misc]backup-simplify: Simplify 1 into 1 1543751804.247 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751804.247 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751804.247 * [misc]taylor: Taking taylor expansion of 2 in k 1543751804.247 * [misc]backup-simplify: Simplify 2 into 2 1543751804.247 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751804.247 * [misc]taylor: Taking taylor expansion of n in k 1543751804.247 * [misc]backup-simplify: Simplify n into n 1543751804.247 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.247 * [misc]backup-simplify: Simplify PI into PI 1543751804.247 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751804.247 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751804.247 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751804.247 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751804.248 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.248 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751804.248 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751804.248 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751804.248 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1543751804.248 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751804.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.248 * [misc]taylor: Taking taylor expansion of k in n 1543751804.248 * [misc]backup-simplify: Simplify k into k 1543751804.248 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.249 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751804.249 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751804.249 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751804.249 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.249 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.249 * [misc]taylor: Taking taylor expansion of k in n 1543751804.249 * [misc]backup-simplify: Simplify k into k 1543751804.249 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.249 * [misc]backup-simplify: Simplify 2 into 2 1543751804.249 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751804.249 * [misc]taylor: Taking taylor expansion of n in n 1543751804.249 * [misc]backup-simplify: Simplify 0 into 0 1543751804.249 * [misc]backup-simplify: Simplify 1 into 1 1543751804.249 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.250 * [misc]backup-simplify: Simplify PI into PI 1543751804.250 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751804.251 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751804.251 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751804.252 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751804.253 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.253 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751804.253 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751804.253 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751804.254 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.254 * [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)))) 1543751804.255 * [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))))) 1543751804.255 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1543751804.255 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751804.255 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.255 * [misc]taylor: Taking taylor expansion of k in n 1543751804.255 * [misc]backup-simplify: Simplify k into k 1543751804.255 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.255 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751804.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751804.256 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751804.256 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.256 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.256 * [misc]taylor: Taking taylor expansion of k in n 1543751804.256 * [misc]backup-simplify: Simplify k into k 1543751804.256 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.256 * [misc]backup-simplify: Simplify 2 into 2 1543751804.256 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751804.256 * [misc]taylor: Taking taylor expansion of n in n 1543751804.256 * [misc]backup-simplify: Simplify 0 into 0 1543751804.256 * [misc]backup-simplify: Simplify 1 into 1 1543751804.256 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.256 * [misc]backup-simplify: Simplify PI into PI 1543751804.257 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751804.257 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751804.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751804.258 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751804.259 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.259 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751804.259 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751804.259 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751804.260 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.261 * [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)))) 1543751804.261 * [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))))) 1543751804.262 * [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))) 1543751804.262 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1543751804.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.263 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.263 * [misc]taylor: Taking taylor expansion of k in k 1543751804.263 * [misc]backup-simplify: Simplify 0 into 0 1543751804.263 * [misc]backup-simplify: Simplify 1 into 1 1543751804.263 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of n in k 1543751804.263 * [misc]backup-simplify: Simplify n into n 1543751804.263 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751804.263 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1543751804.263 * [misc]taylor: Taking taylor expansion of 2 in k 1543751804.263 * [misc]backup-simplify: Simplify 2 into 2 1543751804.263 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.263 * [misc]backup-simplify: Simplify PI into PI 1543751804.263 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.264 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.264 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751804.264 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.264 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751804.265 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.266 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1543751804.266 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1543751804.266 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751804.266 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.266 * [misc]taylor: Taking taylor expansion of k in k 1543751804.267 * [misc]backup-simplify: Simplify 0 into 0 1543751804.267 * [misc]backup-simplify: Simplify 1 into 1 1543751804.267 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.267 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751804.267 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751804.268 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1543751804.268 * [misc]backup-simplify: Simplify 0 into 0 1543751804.269 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751804.270 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751804.274 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751804.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751804.274 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.275 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.276 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1543751804.278 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751804.278 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1543751804.278 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.279 * [misc]backup-simplify: Simplify 0 into 0 1543751804.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751804.280 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751804.284 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751804.284 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.284 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751804.284 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751804.285 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751804.285 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1543751804.287 * [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))))))) 1543751804.290 * [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))))))) 1543751804.291 * [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))))))) 1543751804.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.294 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1543751804.300 * [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 1543751804.300 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751804.301 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.301 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.302 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.303 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1543751804.305 * [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 1543751804.306 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.307 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1543751804.308 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1543751804.308 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.308 * [misc]backup-simplify: Simplify 0 into 0 1543751804.308 * [misc]backup-simplify: Simplify 0 into 0 1543751804.308 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751804.310 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751804.311 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751804.312 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.316 * [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 1543751804.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.316 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751804.316 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1543751804.321 * [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))))) 1543751804.325 * [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)))))))) 1543751804.327 * [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)))))))) 1543751804.329 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751804.330 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1543751804.336 * [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 1543751804.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1543751804.336 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.336 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.337 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751804.337 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1543751804.339 * [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 1543751804.340 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.340 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1543751804.341 * [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 1543751804.341 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.341 * [misc]backup-simplify: Simplify 0 into 0 1543751804.341 * [misc]backup-simplify: Simplify 0 into 0 1543751804.341 * [misc]backup-simplify: Simplify 0 into 0 1543751804.341 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.342 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751804.344 * [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 1543751804.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.355 * [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 1543751804.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751804.356 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.356 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1543751804.364 * [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))))))) 1543751804.376 * [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)))))))))))))) 1543751804.383 * [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)))))))))))))) 1543751804.395 * [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)))))))))))))))))))))) 1543751804.395 * [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))))) 1543751804.395 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1543751804.396 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of k in k 1543751804.396 * [misc]backup-simplify: Simplify 0 into 0 1543751804.396 * [misc]backup-simplify: Simplify 1 into 1 1543751804.396 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751804.396 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751804.396 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.396 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.396 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of k in k 1543751804.396 * [misc]backup-simplify: Simplify 0 into 0 1543751804.396 * [misc]backup-simplify: Simplify 1 into 1 1543751804.396 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.396 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751804.396 * [misc]taylor: Taking taylor expansion of 2 in k 1543751804.396 * [misc]backup-simplify: Simplify 2 into 2 1543751804.397 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751804.397 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.397 * [misc]backup-simplify: Simplify PI into PI 1543751804.397 * [misc]taylor: Taking taylor expansion of n in k 1543751804.397 * [misc]backup-simplify: Simplify n into n 1543751804.397 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751804.397 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751804.397 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751804.397 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.397 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751804.397 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751804.397 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751804.398 * [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)))) 1543751804.398 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of k in n 1543751804.398 * [misc]backup-simplify: Simplify k into k 1543751804.398 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751804.398 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751804.398 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of k in n 1543751804.398 * [misc]backup-simplify: Simplify k into k 1543751804.398 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.398 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.398 * [misc]backup-simplify: Simplify 2 into 2 1543751804.398 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.398 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.398 * [misc]backup-simplify: Simplify PI into PI 1543751804.398 * [misc]taylor: Taking taylor expansion of n in n 1543751804.398 * [misc]backup-simplify: Simplify 0 into 0 1543751804.398 * [misc]backup-simplify: Simplify 1 into 1 1543751804.399 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.399 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.400 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.400 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.400 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751804.400 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751804.400 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.401 * [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))) 1543751804.401 * [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)))) 1543751804.401 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751804.401 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751804.401 * [misc]taylor: Taking taylor expansion of k in n 1543751804.401 * [misc]backup-simplify: Simplify k into k 1543751804.401 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751804.401 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751804.401 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751804.401 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751804.401 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751804.401 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751804.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.402 * [misc]taylor: Taking taylor expansion of k in n 1543751804.402 * [misc]backup-simplify: Simplify k into k 1543751804.402 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.402 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751804.402 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751804.402 * [misc]taylor: Taking taylor expansion of 2 in n 1543751804.402 * [misc]backup-simplify: Simplify 2 into 2 1543751804.402 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.402 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.402 * [misc]backup-simplify: Simplify PI into PI 1543751804.402 * [misc]taylor: Taking taylor expansion of n in n 1543751804.402 * [misc]backup-simplify: Simplify 0 into 0 1543751804.402 * [misc]backup-simplify: Simplify 1 into 1 1543751804.402 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.402 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.403 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.403 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.403 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751804.403 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751804.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.404 * [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))) 1543751804.404 * [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)))) 1543751804.405 * [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)) 1543751804.405 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of k in k 1543751804.405 * [misc]backup-simplify: Simplify 0 into 0 1543751804.405 * [misc]backup-simplify: Simplify 1 into 1 1543751804.405 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.405 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1543751804.405 * [misc]taylor: Taking taylor expansion of 2 in k 1543751804.405 * [misc]backup-simplify: Simplify 2 into 2 1543751804.405 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.405 * [misc]backup-simplify: Simplify PI into PI 1543751804.406 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751804.406 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751804.406 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751804.406 * [misc]taylor: Taking taylor expansion of n in k 1543751804.406 * [misc]backup-simplify: Simplify n into n 1543751804.406 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751804.406 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.406 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751804.406 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751804.406 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751804.407 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1543751804.407 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1543751804.408 * [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)))) 1543751804.408 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751804.408 * [misc]taylor: Taking taylor expansion of k in k 1543751804.408 * [misc]backup-simplify: Simplify 0 into 0 1543751804.408 * [misc]backup-simplify: Simplify 1 into 1 1543751804.408 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751804.408 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751804.409 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1543751804.409 * [misc]backup-simplify: Simplify 0 into 0 1543751804.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751804.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751804.412 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751804.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751804.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751804.412 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.413 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1543751804.414 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751804.415 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1543751804.415 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.415 * [misc]backup-simplify: Simplify 0 into 0 1543751804.415 * [misc]backup-simplify: Simplify 0 into 0 1543751804.416 * [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)))))) 1543751804.417 * [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)))))) 1543751804.421 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.422 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.428 * [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 1543751804.428 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751804.428 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.430 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1543751804.431 * [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 1543751804.432 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1543751804.432 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1543751804.432 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.432 * [misc]backup-simplify: Simplify 0 into 0 1543751804.432 * [misc]backup-simplify: Simplify 0 into 0 1543751804.432 * [misc]backup-simplify: Simplify 0 into 0 1543751804.433 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751804.434 * [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)))))) 1543751804.434 * [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)))))) 1543751804.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.436 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751804.442 * [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 1543751804.442 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.442 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751804.442 * [misc]backup-simplify: Simplify (- 0) into 0 1543751804.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.443 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751804.444 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1543751804.446 * [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 1543751804.446 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1543751804.447 * [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 1543751804.447 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.447 * [misc]backup-simplify: Simplify 0 into 0 1543751804.447 * [misc]backup-simplify: Simplify 0 into 0 1543751804.447 * [misc]backup-simplify: Simplify 0 into 0 1543751804.447 * [misc]backup-simplify: Simplify 0 into 0 1543751804.448 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751804.448 * [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)))))) 1543751804.449 * [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)))))) 1543751804.451 * [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)))))))) 1543751804.451 * [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))) 1543751804.451 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1543751804.452 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.452 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of k in k 1543751804.452 * [misc]backup-simplify: Simplify 0 into 0 1543751804.452 * [misc]backup-simplify: Simplify 1 into 1 1543751804.452 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.452 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of -2 in k 1543751804.452 * [misc]backup-simplify: Simplify -2 into -2 1543751804.452 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751804.452 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.452 * [misc]backup-simplify: Simplify PI into PI 1543751804.452 * [misc]taylor: Taking taylor expansion of n in k 1543751804.452 * [misc]backup-simplify: Simplify n into n 1543751804.452 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751804.452 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751804.452 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751804.452 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.453 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751804.453 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751804.453 * [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))) 1543751804.453 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751804.453 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751804.453 * [misc]taylor: Taking taylor expansion of -1 in k 1543751804.453 * [misc]backup-simplify: Simplify -1 into -1 1543751804.453 * [misc]taylor: Taking taylor expansion of k in k 1543751804.453 * [misc]backup-simplify: Simplify 0 into 0 1543751804.453 * [misc]backup-simplify: Simplify 1 into 1 1543751804.453 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751804.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751804.453 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751804.454 * [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)))) 1543751804.454 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of k in n 1543751804.454 * [misc]backup-simplify: Simplify k into k 1543751804.454 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.454 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.454 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of -2 in n 1543751804.454 * [misc]backup-simplify: Simplify -2 into -2 1543751804.454 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.454 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.454 * [misc]backup-simplify: Simplify PI into PI 1543751804.454 * [misc]taylor: Taking taylor expansion of n in n 1543751804.454 * [misc]backup-simplify: Simplify 0 into 0 1543751804.454 * [misc]backup-simplify: Simplify 1 into 1 1543751804.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.454 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.455 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751804.455 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.455 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751804.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.456 * [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))) 1543751804.457 * [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)))) 1543751804.457 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751804.457 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751804.457 * [misc]taylor: Taking taylor expansion of -1 in n 1543751804.457 * [misc]backup-simplify: Simplify -1 into -1 1543751804.457 * [misc]taylor: Taking taylor expansion of k in n 1543751804.457 * [misc]backup-simplify: Simplify k into k 1543751804.458 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751804.458 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751804.458 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751804.458 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751804.459 * [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))) 1543751804.459 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.459 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of k in n 1543751804.459 * [misc]backup-simplify: Simplify k into k 1543751804.459 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751804.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751804.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.459 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of -2 in n 1543751804.459 * [misc]backup-simplify: Simplify -2 into -2 1543751804.459 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751804.459 * [misc]taylor: Taking taylor expansion of PI in n 1543751804.460 * [misc]backup-simplify: Simplify PI into PI 1543751804.460 * [misc]taylor: Taking taylor expansion of n in n 1543751804.460 * [misc]backup-simplify: Simplify 0 into 0 1543751804.460 * [misc]backup-simplify: Simplify 1 into 1 1543751804.460 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751804.460 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.461 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751804.461 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751804.461 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751804.462 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.463 * [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))) 1543751804.463 * [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)))) 1543751804.463 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751804.463 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751804.463 * [misc]taylor: Taking taylor expansion of -1 in n 1543751804.463 * [misc]backup-simplify: Simplify -1 into -1 1543751804.463 * [misc]taylor: Taking taylor expansion of k in n 1543751804.464 * [misc]backup-simplify: Simplify k into k 1543751804.464 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751804.464 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751804.464 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751804.464 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751804.465 * [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))) 1543751804.465 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1543751804.465 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1543751804.465 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1543751804.465 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751804.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751804.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751804.465 * [misc]taylor: Taking taylor expansion of k in k 1543751804.465 * [misc]backup-simplify: Simplify 0 into 0 1543751804.465 * [misc]backup-simplify: Simplify 1 into 1 1543751804.465 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751804.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751804.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751804.466 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1543751804.466 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1543751804.466 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1543751804.466 * [misc]taylor: Taking taylor expansion of -2 in k 1543751804.466 * [misc]backup-simplify: Simplify -2 into -2 1543751804.466 * [misc]taylor: Taking taylor expansion of PI in k 1543751804.466 * [misc]backup-simplify: Simplify PI into PI 1543751804.466 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751804.467 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751804.467 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751804.467 * [misc]taylor: Taking taylor expansion of n in k 1543751804.467 * [misc]backup-simplify: Simplify n into n 1543751804.467 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751804.468 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751804.468 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751804.468 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751804.468 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1543751804.469 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1543751804.470 * [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)))) 1543751804.470 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751804.470 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751804.470 * [misc]taylor: Taking taylor expansion of -1 in k 1543751804.470 * [misc]backup-simplify: Simplify -1 into -1 1543751804.470 * [misc]taylor: Taking taylor expansion of k in k 1543751804.470 * [misc]backup-simplify: Simplify 0 into 0 1543751804.470 * [misc]backup-simplify: Simplify 1 into 1 1543751804.470 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751804.470 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751804.471 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751804.472 * [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))))) 1543751804.472 * [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))))) 1543751804.474 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751804.474 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751804.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1543751804.478 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751804.478 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751804.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.480 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1543751804.481 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751804.482 * [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 1543751804.483 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.483 * [misc]backup-simplify: Simplify 0 into 0 1543751804.483 * [misc]backup-simplify: Simplify 0 into 0 1543751804.483 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751804.484 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751804.485 * [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)))))) 1543751804.486 * [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)))))) 1543751804.487 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.489 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751804.494 * [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 1543751804.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.495 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751804.495 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751804.496 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751804.497 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1543751804.499 * [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 1543751804.499 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751804.500 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1543751804.501 * [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 1543751804.501 * [misc]taylor: Taking taylor expansion of 0 in k 1543751804.501 * [misc]backup-simplify: Simplify 0 into 0 1543751804.501 * [misc]backup-simplify: Simplify 0 into 0 1543751804.501 * [misc]backup-simplify: Simplify 0 into 0 1543751804.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751804.503 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751804.505 * [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)))))) 1543751804.506 * [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)))))) 1543751804.509 * [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))))))))))) 1543751804.509 * * * [misc]progress: simplifying candidates 1543751804.509 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1543751804.510 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1543751804.511 * * [misc]simplify: iters left: 6 (11 enodes) 1543751804.516 * * [misc]simplify: iters left: 5 (21 enodes) 1543751804.529 * * [misc]simplify: iters left: 4 (47 enodes) 1543751804.558 * * [misc]simplify: iters left: 3 (109 enodes) 1543751804.618 * * [misc]simplify: iters left: 2 (300 enodes) 1543751804.972 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1543751804.972 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1543751804.972 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1543751804.972 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1543751804.972 * [enter]simplify: Simplifying (* PI (* n 2)) 1543751804.973 * * [misc]simplify: iters left: 4 (5 enodes) 1543751804.975 * * [misc]simplify: iters left: 3 (9 enodes) 1543751804.979 * * [misc]simplify: iters left: 2 (15 enodes) 1543751804.984 * * [misc]simplify: iters left: 1 (17 enodes) 1543751804.986 * [exit]simplify: Simplified to (* (* 2 n) PI) 1543751804.986 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1543751804.986 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1543751804.987 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1543751804.987 * * [misc]simplify: iters left: 5 (8 enodes) 1543751804.989 * * [misc]simplify: iters left: 4 (12 enodes) 1543751804.992 * * [misc]simplify: iters left: 3 (18 enodes) 1543751804.995 * * [misc]simplify: iters left: 2 (20 enodes) 1543751804.998 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1543751804.998 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1543751804.998 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1543751804.998 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1543751804.998 * * [misc]simplify: iters left: 5 (6 enodes) 1543751805.000 * * [misc]simplify: iters left: 4 (8 enodes) 1543751805.002 * * [misc]simplify: iters left: 3 (11 enodes) 1543751805.004 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1543751805.004 * [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))) 1543751805.004 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1543751805.005 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1543751805.005 * * [misc]simplify: iters left: 5 (6 enodes) 1543751805.006 * * [misc]simplify: iters left: 4 (8 enodes) 1543751805.008 * * [misc]simplify: iters left: 3 (11 enodes) 1543751805.009 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1543751805.009 * [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))) 1543751805.009 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1543751805.010 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751805.010 * * [misc]simplify: iters left: 4 (5 enodes) 1543751805.011 * * [misc]simplify: iters left: 3 (7 enodes) 1543751805.012 * * [misc]simplify: iters left: 2 (10 enodes) 1543751805.014 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751805.014 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1543751805.014 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1543751805.014 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1543751805.014 * * [misc]simplify: iters left: 5 (9 enodes) 1543751805.016 * * [misc]simplify: iters left: 4 (15 enodes) 1543751805.019 * * [misc]simplify: iters left: 3 (21 enodes) 1543751805.022 * * [misc]simplify: iters left: 2 (22 enodes) 1543751805.026 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1543751805.026 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1543751805.026 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1543751805.026 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1543751805.027 * * [misc]simplify: iters left: 5 (9 enodes) 1543751805.029 * * [misc]simplify: iters left: 4 (15 enodes) 1543751805.032 * * [misc]simplify: iters left: 3 (21 enodes) 1543751805.035 * * [misc]simplify: iters left: 2 (22 enodes) 1543751805.041 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1543751805.041 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1543751805.042 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1543751805.042 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1543751805.042 * * [misc]simplify: iters left: 5 (7 enodes) 1543751805.045 * * [misc]simplify: iters left: 4 (9 enodes) 1543751805.048 * * [misc]simplify: iters left: 3 (12 enodes) 1543751805.053 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1543751805.053 * [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))) 1543751805.053 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1543751805.053 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1543751805.054 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1543751805.054 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1543751805.056 * * [misc]simplify: iters left: 6 (14 enodes) 1543751805.062 * * [misc]simplify: iters left: 5 (26 enodes) 1543751805.076 * * [misc]simplify: iters left: 4 (53 enodes) 1543751805.112 * * [misc]simplify: iters left: 3 (137 enodes) 1543751805.201 * * [misc]simplify: iters left: 2 (487 enodes) 1543751806.120 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1543751806.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1543751806.120 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1543751806.120 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1543751806.122 * * [misc]simplify: iters left: 6 (14 enodes) 1543751806.129 * * [misc]simplify: iters left: 5 (26 enodes) 1543751806.141 * * [misc]simplify: iters left: 4 (53 enodes) 1543751806.159 * * [misc]simplify: iters left: 3 (137 enodes) 1543751806.255 * * [misc]simplify: iters left: 2 (487 enodes) 1543751807.259 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1543751807.259 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1543751807.259 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1543751807.260 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1543751807.261 * * [misc]simplify: iters left: 6 (14 enodes) 1543751807.264 * * [misc]simplify: iters left: 5 (24 enodes) 1543751807.271 * * [misc]simplify: iters left: 4 (42 enodes) 1543751807.280 * * [misc]simplify: iters left: 3 (71 enodes) 1543751807.323 * * [misc]simplify: iters left: 2 (208 enodes) 1543751807.723 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1543751807.723 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1543751807.723 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1543751807.723 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1543751807.723 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1543751807.724 * [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))) 1543751807.726 * * [misc]simplify: iters left: 6 (16 enodes) 1543751807.734 * * [misc]simplify: iters left: 5 (31 enodes) 1543751807.750 * * [misc]simplify: iters left: 4 (67 enodes) 1543751807.767 * * [misc]simplify: iters left: 3 (124 enodes) 1543751807.809 * * [misc]simplify: iters left: 2 (195 enodes) 1543751807.862 * * [misc]simplify: iters left: 1 (309 enodes) 1543751808.011 * [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)))) 1543751808.011 * [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)))))) 1543751808.011 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1543751808.011 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1543751808.012 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1543751808.012 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1543751808.012 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1543751808.012 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.013 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.017 * * [misc]simplify: iters left: 5 (19 enodes) 1543751808.020 * * [misc]simplify: iters left: 4 (25 enodes) 1543751808.024 * * [misc]simplify: iters left: 3 (26 enodes) 1543751808.029 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.029 * [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))))) 1543751808.029 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1543751808.030 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.032 * * [misc]simplify: iters left: 5 (18 enodes) 1543751808.036 * * [misc]simplify: iters left: 4 (24 enodes) 1543751808.039 * * [misc]simplify: iters left: 3 (25 enodes) 1543751808.043 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1543751808.043 * [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))))) 1543751808.043 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1543751808.044 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1543751808.044 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.046 * * [misc]simplify: iters left: 5 (16 enodes) 1543751808.049 * * [misc]simplify: iters left: 4 (22 enodes) 1543751808.055 * * [misc]simplify: iters left: 3 (24 enodes) 1543751808.063 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1543751808.063 * [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))))) 1543751808.063 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1543751808.064 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.071 * * [misc]simplify: iters left: 5 (18 enodes) 1543751808.078 * * [misc]simplify: iters left: 4 (24 enodes) 1543751808.085 * * [misc]simplify: iters left: 3 (25 enodes) 1543751808.094 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1543751808.094 * [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))))) 1543751808.094 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1543751808.094 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1543751808.095 * * [misc]simplify: iters left: 6 (9 enodes) 1543751808.099 * * [misc]simplify: iters left: 5 (16 enodes) 1543751808.107 * * [misc]simplify: iters left: 4 (24 enodes) 1543751808.110 * * [misc]simplify: iters left: 3 (26 enodes) 1543751808.114 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1543751808.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1543751808.114 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1543751808.115 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.117 * * [misc]simplify: iters left: 5 (17 enodes) 1543751808.120 * * [misc]simplify: iters left: 4 (23 enodes) 1543751808.124 * * [misc]simplify: iters left: 3 (24 enodes) 1543751808.128 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1543751808.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1543751808.128 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1543751808.128 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.129 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.131 * * [misc]simplify: iters left: 5 (19 enodes) 1543751808.135 * * [misc]simplify: iters left: 4 (25 enodes) 1543751808.138 * * [misc]simplify: iters left: 3 (26 enodes) 1543751808.143 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.143 * [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))))) 1543751808.143 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1543751808.144 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.146 * * [misc]simplify: iters left: 5 (18 enodes) 1543751808.149 * * [misc]simplify: iters left: 4 (24 enodes) 1543751808.154 * * [misc]simplify: iters left: 3 (25 enodes) 1543751808.159 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1543751808.159 * [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))))) 1543751808.159 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1543751808.159 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1543751808.160 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.164 * * [misc]simplify: iters left: 5 (16 enodes) 1543751808.170 * * [misc]simplify: iters left: 4 (22 enodes) 1543751808.174 * * [misc]simplify: iters left: 3 (24 enodes) 1543751808.178 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1543751808.178 * [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))))) 1543751808.178 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1543751808.179 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.182 * * [misc]simplify: iters left: 5 (18 enodes) 1543751808.185 * * [misc]simplify: iters left: 4 (24 enodes) 1543751808.188 * * [misc]simplify: iters left: 3 (25 enodes) 1543751808.193 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1543751808.193 * [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))))) 1543751808.193 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1543751808.193 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1543751808.193 * * [misc]simplify: iters left: 6 (9 enodes) 1543751808.195 * * [misc]simplify: iters left: 5 (16 enodes) 1543751808.199 * * [misc]simplify: iters left: 4 (24 enodes) 1543751808.205 * * [misc]simplify: iters left: 3 (26 enodes) 1543751808.212 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1543751808.212 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1543751808.213 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1543751808.214 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.217 * * [misc]simplify: iters left: 5 (17 enodes) 1543751808.220 * * [misc]simplify: iters left: 4 (23 enodes) 1543751808.224 * * [misc]simplify: iters left: 3 (24 enodes) 1543751808.228 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1543751808.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1543751808.228 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1543751808.228 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.229 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.231 * * [misc]simplify: iters left: 5 (15 enodes) 1543751808.235 * * [misc]simplify: iters left: 4 (18 enodes) 1543751808.238 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.238 * [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))))) 1543751808.238 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1543751808.239 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.241 * * [misc]simplify: iters left: 5 (14 enodes) 1543751808.243 * * [misc]simplify: iters left: 4 (17 enodes) 1543751808.246 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1543751808.246 * [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))))) 1543751808.246 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1543751808.246 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751808.247 * * [misc]simplify: iters left: 6 (10 enodes) 1543751808.249 * * [misc]simplify: iters left: 5 (12 enodes) 1543751808.254 * * [misc]simplify: iters left: 4 (15 enodes) 1543751808.259 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751808.259 * [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))))) 1543751808.260 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751808.260 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.262 * * [misc]simplify: iters left: 5 (14 enodes) 1543751808.265 * * [misc]simplify: iters left: 4 (17 enodes) 1543751808.267 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751808.267 * [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))))) 1543751808.267 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1543751808.268 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1543751808.268 * * [misc]simplify: iters left: 6 (9 enodes) 1543751808.270 * * [misc]simplify: iters left: 5 (13 enodes) 1543751808.273 * * [misc]simplify: iters left: 4 (18 enodes) 1543751808.275 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1543751808.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1543751808.275 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1543751808.276 * * [misc]simplify: iters left: 6 (10 enodes) 1543751808.278 * * [misc]simplify: iters left: 5 (13 enodes) 1543751808.280 * * [misc]simplify: iters left: 4 (16 enodes) 1543751808.282 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1543751808.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1543751808.282 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1543751808.282 * [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)))) 1543751808.283 * * [misc]simplify: iters left: 6 (16 enodes) 1543751808.287 * * [misc]simplify: iters left: 5 (28 enodes) 1543751808.295 * * [misc]simplify: iters left: 4 (46 enodes) 1543751808.309 * * [misc]simplify: iters left: 3 (50 enodes) 1543751808.326 * * [misc]simplify: iters left: 2 (53 enodes) 1543751808.347 * [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)))) 1543751808.347 * [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))))) 1543751808.347 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1543751808.349 * * [misc]simplify: iters left: 6 (14 enodes) 1543751808.354 * * [misc]simplify: iters left: 5 (20 enodes) 1543751808.362 * * [misc]simplify: iters left: 4 (29 enodes) 1543751808.372 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.381 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1543751808.381 * [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))))) 1543751808.382 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1543751808.382 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1543751808.383 * * [misc]simplify: iters left: 6 (15 enodes) 1543751808.386 * * [misc]simplify: iters left: 5 (23 enodes) 1543751808.391 * * [misc]simplify: iters left: 4 (34 enodes) 1543751808.396 * * [misc]simplify: iters left: 3 (37 enodes) 1543751808.403 * [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)))))) 1543751808.403 * [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))))) 1543751808.404 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751808.404 * * [misc]simplify: iters left: 6 (14 enodes) 1543751808.407 * * [misc]simplify: iters left: 5 (20 enodes) 1543751808.411 * * [misc]simplify: iters left: 4 (29 enodes) 1543751808.416 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.422 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751808.422 * [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))))) 1543751808.422 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1543751808.422 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1543751808.423 * * [misc]simplify: iters left: 6 (14 enodes) 1543751808.427 * * [misc]simplify: iters left: 5 (24 enodes) 1543751808.432 * * [misc]simplify: iters left: 4 (39 enodes) 1543751808.439 * * [misc]simplify: iters left: 3 (54 enodes) 1543751808.449 * * [misc]simplify: iters left: 2 (80 enodes) 1543751808.460 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1543751808.460 * [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)))) 1543751808.461 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1543751808.461 * * [misc]simplify: iters left: 6 (13 enodes) 1543751808.464 * * [misc]simplify: iters left: 5 (19 enodes) 1543751808.468 * * [misc]simplify: iters left: 4 (28 enodes) 1543751808.473 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.478 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1543751808.478 * [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)))) 1543751808.478 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1543751808.478 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.479 * * [misc]simplify: iters left: 6 (15 enodes) 1543751808.482 * * [misc]simplify: iters left: 5 (23 enodes) 1543751808.488 * * [misc]simplify: iters left: 4 (32 enodes) 1543751808.493 * * [misc]simplify: iters left: 3 (34 enodes) 1543751808.502 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.502 * [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))))) 1543751808.502 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1543751808.504 * * [misc]simplify: iters left: 6 (14 enodes) 1543751808.509 * * [misc]simplify: iters left: 5 (20 enodes) 1543751808.517 * * [misc]simplify: iters left: 4 (29 enodes) 1543751808.526 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.536 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1543751808.536 * [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))))) 1543751808.536 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1543751808.536 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751808.537 * * [misc]simplify: iters left: 6 (14 enodes) 1543751808.540 * * [misc]simplify: iters left: 5 (20 enodes) 1543751808.544 * * [misc]simplify: iters left: 4 (29 enodes) 1543751808.549 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.559 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751808.559 * [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))))) 1543751808.560 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751808.561 * * [misc]simplify: iters left: 6 (14 enodes) 1543751808.567 * * [misc]simplify: iters left: 5 (20 enodes) 1543751808.575 * * [misc]simplify: iters left: 4 (29 enodes) 1543751808.584 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.594 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751808.594 * [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))))) 1543751808.594 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1543751808.594 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1543751808.597 * * [misc]simplify: iters left: 6 (13 enodes) 1543751808.603 * * [misc]simplify: iters left: 5 (21 enodes) 1543751808.612 * * [misc]simplify: iters left: 4 (32 enodes) 1543751808.621 * * [misc]simplify: iters left: 3 (33 enodes) 1543751808.631 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1543751808.631 * [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)))) 1543751808.631 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1543751808.632 * * [misc]simplify: iters left: 6 (13 enodes) 1543751808.638 * * [misc]simplify: iters left: 5 (19 enodes) 1543751808.645 * * [misc]simplify: iters left: 4 (28 enodes) 1543751808.654 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.665 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1543751808.665 * [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)))) 1543751808.665 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1543751808.665 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751808.666 * * [misc]simplify: iters left: 6 (6 enodes) 1543751808.668 * * [misc]simplify: iters left: 5 (10 enodes) 1543751808.672 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1543751808.672 * [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))))) 1543751808.672 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1543751808.673 * * [misc]simplify: iters left: 6 (13 enodes) 1543751808.675 * * [misc]simplify: iters left: 5 (19 enodes) 1543751808.679 * * [misc]simplify: iters left: 4 (28 enodes) 1543751808.684 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.688 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1543751808.688 * [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))))) 1543751808.688 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1543751808.689 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1543751808.689 * * [misc]simplify: iters left: 4 (5 enodes) 1543751808.690 * * [misc]simplify: iters left: 3 (7 enodes) 1543751808.691 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1543751808.691 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1543751808.691 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751808.692 * * [misc]simplify: iters left: 6 (13 enodes) 1543751808.694 * * [misc]simplify: iters left: 5 (19 enodes) 1543751808.698 * * [misc]simplify: iters left: 4 (28 enodes) 1543751808.708 * * [misc]simplify: iters left: 3 (30 enodes) 1543751808.718 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751808.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1543751808.718 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1543751808.719 * [enter]simplify: Simplifying (/ 1 1) 1543751808.719 * * [misc]simplify: iters left: 2 (2 enodes) 1543751808.720 * * [misc]simplify: iters left: 1 (4 enodes) 1543751808.721 * [exit]simplify: Simplified to 1 1543751808.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1543751808.721 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1543751808.722 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.727 * * [misc]simplify: iters left: 5 (18 enodes) 1543751808.731 * * [misc]simplify: iters left: 4 (27 enodes) 1543751808.735 * * [misc]simplify: iters left: 3 (29 enodes) 1543751808.740 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1543751808.740 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1543751808.740 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1543751808.740 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1543751808.740 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1543751808.740 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1543751808.740 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1543751808.741 * * [misc]simplify: iters left: 2 (3 enodes) 1543751808.741 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1543751808.741 * [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)))) 1543751808.741 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1543751808.741 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1543751808.741 * * [misc]simplify: iters left: 2 (3 enodes) 1543751808.742 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1543751808.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1543751808.742 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1543751808.742 * [enter]simplify: Simplifying (sqrt k) 1543751808.742 * * [misc]simplify: iters left: 1 (2 enodes) 1543751808.743 * [exit]simplify: Simplified to (sqrt k) 1543751808.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1543751808.743 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1543751808.743 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1543751808.743 * * [misc]simplify: iters left: 5 (7 enodes) 1543751808.745 * * [misc]simplify: iters left: 4 (12 enodes) 1543751808.747 * * [misc]simplify: iters left: 3 (18 enodes) 1543751808.750 * * [misc]simplify: iters left: 2 (20 enodes) 1543751808.753 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1543751808.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1543751808.753 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1543751808.753 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1543751808.754 * * [misc]simplify: iters left: 5 (7 enodes) 1543751808.756 * * [misc]simplify: iters left: 4 (12 enodes) 1543751808.758 * * [misc]simplify: iters left: 3 (18 enodes) 1543751808.761 * * [misc]simplify: iters left: 2 (20 enodes) 1543751808.764 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1543751808.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1543751808.764 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1543751808.764 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1543751808.765 * * [misc]simplify: iters left: 5 (7 enodes) 1543751808.766 * * [misc]simplify: iters left: 4 (9 enodes) 1543751808.768 * * [misc]simplify: iters left: 3 (12 enodes) 1543751808.770 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1543751808.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751808.770 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1543751808.770 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751808.771 * * [misc]simplify: iters left: 6 (12 enodes) 1543751808.774 * * [misc]simplify: iters left: 5 (18 enodes) 1543751808.777 * * [misc]simplify: iters left: 4 (27 enodes) 1543751808.782 * * [misc]simplify: iters left: 3 (29 enodes) 1543751808.789 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1543751808.789 * [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))))))) 1543751808.789 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1543751808.789 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751808.790 * * [misc]simplify: iters left: 6 (11 enodes) 1543751808.792 * * [misc]simplify: iters left: 5 (17 enodes) 1543751808.796 * * [misc]simplify: iters left: 4 (26 enodes) 1543751808.800 * * [misc]simplify: iters left: 3 (27 enodes) 1543751808.804 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1543751808.804 * [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))))))) 1543751808.804 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1543751808.804 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1543751808.804 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1543751808.804 * * [misc]simplify: iters left: 5 (7 enodes) 1543751808.806 * * [misc]simplify: iters left: 4 (12 enodes) 1543751808.810 * * [misc]simplify: iters left: 3 (18 enodes) 1543751808.816 * * [misc]simplify: iters left: 2 (20 enodes) 1543751808.822 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1543751808.822 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1543751808.822 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1543751808.822 * [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))))) 1543751808.827 * * [misc]simplify: iters left: 6 (37 enodes) 1543751808.853 * * [misc]simplify: iters left: 5 (105 enodes) 1543751808.911 * * [misc]simplify: iters left: 4 (339 enodes) 1543751809.446 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1543751809.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1543751809.446 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1543751809.447 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1543751809.448 * * [misc]simplify: iters left: 6 (15 enodes) 1543751809.458 * * [misc]simplify: iters left: 5 (33 enodes) 1543751809.474 * * [misc]simplify: iters left: 4 (64 enodes) 1543751809.496 * * [misc]simplify: iters left: 3 (171 enodes) 1543751809.652 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1543751809.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1543751809.652 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1543751809.653 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1543751809.654 * * [misc]simplify: iters left: 6 (15 enodes) 1543751809.663 * * [misc]simplify: iters left: 5 (30 enodes) 1543751809.680 * * [misc]simplify: iters left: 4 (65 enodes) 1543751809.726 * * [misc]simplify: iters left: 3 (200 enodes) 1543751810.007 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1543751810.007 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1543751810.007 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1543751810.007 * [enter]simplify: Simplifying (* 2 (* n PI)) 1543751810.007 * * [misc]simplify: iters left: 4 (5 enodes) 1543751810.010 * * [misc]simplify: iters left: 3 (9 enodes) 1543751810.014 * * [misc]simplify: iters left: 2 (15 enodes) 1543751810.020 * * [misc]simplify: iters left: 1 (17 enodes) 1543751810.025 * [exit]simplify: Simplified to (* (* PI n) 2) 1543751810.025 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1543751810.025 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1543751810.026 * [enter]simplify: Simplifying (* 2 (* n PI)) 1543751810.026 * * [misc]simplify: iters left: 4 (5 enodes) 1543751810.028 * * [misc]simplify: iters left: 3 (9 enodes) 1543751810.032 * * [misc]simplify: iters left: 2 (15 enodes) 1543751810.037 * * [misc]simplify: iters left: 1 (17 enodes) 1543751810.043 * [exit]simplify: Simplified to (* (* PI n) 2) 1543751810.043 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1543751810.043 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1543751810.043 * [enter]simplify: Simplifying (* 2 (* n PI)) 1543751810.044 * * [misc]simplify: iters left: 4 (5 enodes) 1543751810.046 * * [misc]simplify: iters left: 3 (9 enodes) 1543751810.050 * * [misc]simplify: iters left: 2 (15 enodes) 1543751810.055 * * [misc]simplify: iters left: 1 (17 enodes) 1543751810.060 * [exit]simplify: Simplified to (* (* PI n) 2) 1543751810.060 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1543751810.060 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1543751810.061 * [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)))))))))))))))))))))) 1543751810.061 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751810.061 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1543751810.061 * [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)))))))) 1543751810.061 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751810.061 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1543751810.062 * [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))))))))))) 1543751810.062 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751810.062 * * * [misc]progress: adding candidates to table 1543751811.847 * * [misc]progress: iteration 2 / 4 1543751811.847 * * * [misc]progress: picking best candidate 1543751811.919 * * * * [misc]pick: Picked # 1543751811.919 * * * [misc]progress: localizing error 1543751811.933 * * * [misc]progress: generating rewritten candidates 1543751811.934 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1543751811.970 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1543751811.991 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1543751812.038 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1543751812.110 * * * [misc]progress: generating series expansions 1543751812.110 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1543751812.110 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1543751812.110 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1543751812.110 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751812.110 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751812.110 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751812.111 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751812.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.111 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751812.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.111 * [misc]taylor: Taking taylor expansion of k in k 1543751812.111 * [misc]backup-simplify: Simplify 0 into 0 1543751812.111 * [misc]backup-simplify: Simplify 1 into 1 1543751812.111 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751812.111 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751812.111 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.111 * [misc]backup-simplify: Simplify 2 into 2 1543751812.111 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751812.111 * [misc]taylor: Taking taylor expansion of n in k 1543751812.111 * [misc]backup-simplify: Simplify n into n 1543751812.111 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.111 * [misc]backup-simplify: Simplify PI into PI 1543751812.111 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751812.111 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751812.111 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751812.112 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751812.112 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.112 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.112 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751812.113 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751812.113 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.113 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.113 * [misc]taylor: Taking taylor expansion of k in n 1543751812.113 * [misc]backup-simplify: Simplify k into k 1543751812.113 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.113 * [misc]backup-simplify: Simplify 2 into 2 1543751812.113 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.113 * [misc]taylor: Taking taylor expansion of n in n 1543751812.113 * [misc]backup-simplify: Simplify 0 into 0 1543751812.113 * [misc]backup-simplify: Simplify 1 into 1 1543751812.113 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.113 * [misc]backup-simplify: Simplify PI into PI 1543751812.113 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.114 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.114 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.115 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.116 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.116 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751812.116 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751812.116 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751812.117 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.117 * [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)))) 1543751812.118 * [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))))) 1543751812.118 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751812.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751812.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751812.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751812.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.118 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751812.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.118 * [misc]taylor: Taking taylor expansion of k in n 1543751812.119 * [misc]backup-simplify: Simplify k into k 1543751812.119 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.119 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.119 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.119 * [misc]backup-simplify: Simplify 2 into 2 1543751812.119 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.119 * [misc]taylor: Taking taylor expansion of n in n 1543751812.119 * [misc]backup-simplify: Simplify 0 into 0 1543751812.119 * [misc]backup-simplify: Simplify 1 into 1 1543751812.119 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.119 * [misc]backup-simplify: Simplify PI into PI 1543751812.119 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.119 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.120 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.121 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.121 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.121 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751812.121 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751812.122 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751812.122 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.123 * [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)))) 1543751812.124 * [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))))) 1543751812.124 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.124 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.124 * [misc]taylor: Taking taylor expansion of k in k 1543751812.124 * [misc]backup-simplify: Simplify 0 into 0 1543751812.124 * [misc]backup-simplify: Simplify 1 into 1 1543751812.124 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of n in k 1543751812.124 * [misc]backup-simplify: Simplify n into n 1543751812.124 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751812.124 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1543751812.124 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.124 * [misc]backup-simplify: Simplify 2 into 2 1543751812.125 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.125 * [misc]backup-simplify: Simplify PI into PI 1543751812.125 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.125 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.126 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751812.126 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.126 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.126 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.127 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1543751812.128 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1543751812.128 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1543751812.130 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751812.131 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751812.134 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.134 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751812.135 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.136 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.136 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1543751812.138 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.138 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.138 * [misc]backup-simplify: Simplify 0 into 0 1543751812.138 * [misc]backup-simplify: Simplify 0 into 0 1543751812.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751812.140 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751812.143 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.144 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751812.144 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.144 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.145 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1543751812.147 * [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))))))) 1543751812.148 * [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))))))) 1543751812.150 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.152 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1543751812.158 * [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 1543751812.159 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751812.159 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.159 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.160 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.161 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1543751812.163 * [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 1543751812.163 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.163 * [misc]backup-simplify: Simplify 0 into 0 1543751812.163 * [misc]backup-simplify: Simplify 0 into 0 1543751812.163 * [misc]backup-simplify: Simplify 0 into 0 1543751812.165 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751812.167 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.176 * [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 1543751812.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.177 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751812.177 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.178 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1543751812.182 * [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))))) 1543751812.186 * [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))))) 1543751812.195 * [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))))) 1543751812.195 * [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)))) 1543751812.195 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1543751812.195 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751812.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751812.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751812.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751812.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.195 * [misc]taylor: Taking taylor expansion of k in k 1543751812.195 * [misc]backup-simplify: Simplify 0 into 0 1543751812.196 * [misc]backup-simplify: Simplify 1 into 1 1543751812.196 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.196 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751812.196 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751812.196 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.196 * [misc]backup-simplify: Simplify 2 into 2 1543751812.196 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.196 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.196 * [misc]backup-simplify: Simplify PI into PI 1543751812.196 * [misc]taylor: Taking taylor expansion of n in k 1543751812.196 * [misc]backup-simplify: Simplify n into n 1543751812.196 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.196 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751812.196 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751812.197 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.197 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.197 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.197 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751812.198 * [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)))) 1543751812.198 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.198 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of k in n 1543751812.198 * [misc]backup-simplify: Simplify k into k 1543751812.198 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.198 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.198 * [misc]backup-simplify: Simplify 2 into 2 1543751812.198 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.198 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.198 * [misc]backup-simplify: Simplify PI into PI 1543751812.198 * [misc]taylor: Taking taylor expansion of n in n 1543751812.198 * [misc]backup-simplify: Simplify 0 into 0 1543751812.198 * [misc]backup-simplify: Simplify 1 into 1 1543751812.199 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.199 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.200 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.200 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.200 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.200 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.201 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.201 * [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))) 1543751812.202 * [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)))) 1543751812.202 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.202 * [misc]taylor: Taking taylor expansion of k in n 1543751812.202 * [misc]backup-simplify: Simplify k into k 1543751812.203 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.203 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.203 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.203 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.203 * [misc]backup-simplify: Simplify 2 into 2 1543751812.203 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.203 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.203 * [misc]backup-simplify: Simplify PI into PI 1543751812.203 * [misc]taylor: Taking taylor expansion of n in n 1543751812.203 * [misc]backup-simplify: Simplify 0 into 0 1543751812.203 * [misc]backup-simplify: Simplify 1 into 1 1543751812.203 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.203 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.204 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.204 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.204 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.204 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.205 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.206 * [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))) 1543751812.206 * [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)))) 1543751812.207 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.207 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.207 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of k in k 1543751812.207 * [misc]backup-simplify: Simplify 0 into 0 1543751812.207 * [misc]backup-simplify: Simplify 1 into 1 1543751812.207 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.207 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1543751812.207 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.207 * [misc]backup-simplify: Simplify 2 into 2 1543751812.207 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.207 * [misc]backup-simplify: Simplify PI into PI 1543751812.208 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.208 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.209 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751812.209 * [misc]taylor: Taking taylor expansion of n in k 1543751812.209 * [misc]backup-simplify: Simplify n into n 1543751812.209 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751812.209 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.209 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.209 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.209 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751812.210 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1543751812.210 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1543751812.211 * [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)))) 1543751812.212 * [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)))) 1543751812.213 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751812.217 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.217 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.217 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751812.217 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.218 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.219 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1543751812.221 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.221 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.221 * [misc]backup-simplify: Simplify 0 into 0 1543751812.221 * [misc]backup-simplify: Simplify 0 into 0 1543751812.221 * [misc]backup-simplify: Simplify 0 into 0 1543751812.222 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.224 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.229 * [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 1543751812.230 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751812.230 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751812.230 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.230 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.231 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.232 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1543751812.235 * [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 1543751812.235 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.235 * [misc]backup-simplify: Simplify 0 into 0 1543751812.235 * [misc]backup-simplify: Simplify 0 into 0 1543751812.235 * [misc]backup-simplify: Simplify 0 into 0 1543751812.235 * [misc]backup-simplify: Simplify 0 into 0 1543751812.237 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.238 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.244 * [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 1543751812.244 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751812.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751812.245 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.245 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.246 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1543751812.248 * [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 1543751812.248 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.248 * [misc]backup-simplify: Simplify 0 into 0 1543751812.248 * [misc]backup-simplify: Simplify 0 into 0 1543751812.249 * [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))))) 1543751812.249 * [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)) 1543751812.249 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1543751812.249 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of k in k 1543751812.249 * [misc]backup-simplify: Simplify 0 into 0 1543751812.249 * [misc]backup-simplify: Simplify 1 into 1 1543751812.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.249 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of -2 in k 1543751812.249 * [misc]backup-simplify: Simplify -2 into -2 1543751812.249 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.249 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.249 * [misc]backup-simplify: Simplify PI into PI 1543751812.249 * [misc]taylor: Taking taylor expansion of n in k 1543751812.249 * [misc]backup-simplify: Simplify n into n 1543751812.249 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.250 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751812.250 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751812.250 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.250 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.250 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751812.250 * [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))) 1543751812.250 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of k in n 1543751812.250 * [misc]backup-simplify: Simplify k into k 1543751812.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.250 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.250 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.250 * [misc]backup-simplify: Simplify -2 into -2 1543751812.250 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.251 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.251 * [misc]backup-simplify: Simplify PI into PI 1543751812.251 * [misc]taylor: Taking taylor expansion of n in n 1543751812.251 * [misc]backup-simplify: Simplify 0 into 0 1543751812.251 * [misc]backup-simplify: Simplify 1 into 1 1543751812.251 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.251 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.251 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.251 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.252 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.252 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.252 * [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))) 1543751812.253 * [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)))) 1543751812.253 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of k in n 1543751812.253 * [misc]backup-simplify: Simplify k into k 1543751812.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.253 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.253 * [misc]backup-simplify: Simplify -2 into -2 1543751812.253 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.253 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.253 * [misc]backup-simplify: Simplify PI into PI 1543751812.253 * [misc]taylor: Taking taylor expansion of n in n 1543751812.253 * [misc]backup-simplify: Simplify 0 into 0 1543751812.253 * [misc]backup-simplify: Simplify 1 into 1 1543751812.254 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.254 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.254 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.254 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.254 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.255 * [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))) 1543751812.256 * [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)))) 1543751812.256 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of k in k 1543751812.256 * [misc]backup-simplify: Simplify 0 into 0 1543751812.256 * [misc]backup-simplify: Simplify 1 into 1 1543751812.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.256 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1543751812.256 * [misc]taylor: Taking taylor expansion of -2 in k 1543751812.256 * [misc]backup-simplify: Simplify -2 into -2 1543751812.256 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.256 * [misc]backup-simplify: Simplify PI into PI 1543751812.256 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.257 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.257 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751812.257 * [misc]taylor: Taking taylor expansion of n in k 1543751812.257 * [misc]backup-simplify: Simplify n into n 1543751812.257 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751812.257 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.257 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.257 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751812.257 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1543751812.258 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1543751812.258 * [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)))) 1543751812.259 * [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)))) 1543751812.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.260 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751812.262 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1543751812.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.262 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751812.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.263 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.263 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1543751812.264 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.264 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.264 * [misc]backup-simplify: Simplify 0 into 0 1543751812.265 * [misc]backup-simplify: Simplify 0 into 0 1543751812.265 * [misc]backup-simplify: Simplify 0 into 0 1543751812.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.266 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.271 * [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 1543751812.271 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751812.272 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751812.272 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.273 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.274 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1543751812.276 * [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 1543751812.276 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.276 * [misc]backup-simplify: Simplify 0 into 0 1543751812.276 * [misc]backup-simplify: Simplify 0 into 0 1543751812.276 * [misc]backup-simplify: Simplify 0 into 0 1543751812.276 * [misc]backup-simplify: Simplify 0 into 0 1543751812.278 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.280 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.289 * [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 1543751812.289 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751812.290 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751812.290 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.292 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1543751812.296 * [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 1543751812.296 * [misc]taylor: Taking taylor expansion of 0 in k 1543751812.296 * [misc]backup-simplify: Simplify 0 into 0 1543751812.296 * [misc]backup-simplify: Simplify 0 into 0 1543751812.297 * [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))))) 1543751812.297 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1543751812.298 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1543751812.298 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1543751812.298 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.298 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.298 * [misc]backup-simplify: Simplify 2 into 2 1543751812.298 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.298 * [misc]taylor: Taking taylor expansion of n in n 1543751812.298 * [misc]backup-simplify: Simplify 0 into 0 1543751812.298 * [misc]backup-simplify: Simplify 1 into 1 1543751812.298 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.298 * [misc]backup-simplify: Simplify PI into PI 1543751812.298 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.298 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.298 * [misc]backup-simplify: Simplify 2 into 2 1543751812.298 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.298 * [misc]taylor: Taking taylor expansion of n in n 1543751812.298 * [misc]backup-simplify: Simplify 0 into 0 1543751812.298 * [misc]backup-simplify: Simplify 1 into 1 1543751812.298 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.298 * [misc]backup-simplify: Simplify PI into PI 1543751812.299 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.299 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.299 * [misc]backup-simplify: Simplify 0 into 0 1543751812.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.300 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.301 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751812.303 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751812.303 * [misc]backup-simplify: Simplify 0 into 0 1543751812.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.309 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1543751812.309 * [misc]backup-simplify: Simplify 0 into 0 1543751812.311 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751812.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1543751812.314 * [misc]backup-simplify: Simplify 0 into 0 1543751812.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1543751812.320 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1543751812.320 * [misc]backup-simplify: Simplify 0 into 0 1543751812.324 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1543751812.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1543751812.327 * [misc]backup-simplify: Simplify 0 into 0 1543751812.331 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1543751812.336 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1543751812.336 * [misc]backup-simplify: Simplify 0 into 0 1543751812.336 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1543751812.336 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1543751812.336 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1543751812.336 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.336 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.336 * [misc]backup-simplify: Simplify 2 into 2 1543751812.337 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.337 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.337 * [misc]backup-simplify: Simplify PI into PI 1543751812.337 * [misc]taylor: Taking taylor expansion of n in n 1543751812.337 * [misc]backup-simplify: Simplify 0 into 0 1543751812.337 * [misc]backup-simplify: Simplify 1 into 1 1543751812.337 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.337 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.337 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.337 * [misc]backup-simplify: Simplify 2 into 2 1543751812.337 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.337 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.337 * [misc]backup-simplify: Simplify PI into PI 1543751812.337 * [misc]taylor: Taking taylor expansion of n in n 1543751812.337 * [misc]backup-simplify: Simplify 0 into 0 1543751812.337 * [misc]backup-simplify: Simplify 1 into 1 1543751812.338 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.338 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.338 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.340 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751812.340 * [misc]backup-simplify: Simplify 0 into 0 1543751812.342 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.343 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.343 * [misc]backup-simplify: Simplify 0 into 0 1543751812.344 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.346 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.346 * [misc]backup-simplify: Simplify 0 into 0 1543751812.348 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751812.350 * [misc]backup-simplify: Simplify 0 into 0 1543751812.352 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1543751812.355 * [misc]backup-simplify: Simplify 0 into 0 1543751812.358 * [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 1543751812.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1543751812.361 * [misc]backup-simplify: Simplify 0 into 0 1543751812.362 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1543751812.362 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1543751812.362 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1543751812.362 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.362 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.362 * [misc]backup-simplify: Simplify -2 into -2 1543751812.362 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.362 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.362 * [misc]backup-simplify: Simplify PI into PI 1543751812.362 * [misc]taylor: Taking taylor expansion of n in n 1543751812.362 * [misc]backup-simplify: Simplify 0 into 0 1543751812.362 * [misc]backup-simplify: Simplify 1 into 1 1543751812.363 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.363 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.363 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.363 * [misc]backup-simplify: Simplify -2 into -2 1543751812.363 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.363 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.363 * [misc]backup-simplify: Simplify PI into PI 1543751812.363 * [misc]taylor: Taking taylor expansion of n in n 1543751812.363 * [misc]backup-simplify: Simplify 0 into 0 1543751812.363 * [misc]backup-simplify: Simplify 1 into 1 1543751812.363 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.364 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.364 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.366 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751812.366 * [misc]backup-simplify: Simplify 0 into 0 1543751812.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.368 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.368 * [misc]backup-simplify: Simplify 0 into 0 1543751812.370 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.372 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.372 * [misc]backup-simplify: Simplify 0 into 0 1543751812.374 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.376 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1543751812.376 * [misc]backup-simplify: Simplify 0 into 0 1543751812.379 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.382 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1543751812.382 * [misc]backup-simplify: Simplify 0 into 0 1543751812.384 * [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 1543751812.386 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1543751812.386 * [misc]backup-simplify: Simplify 0 into 0 1543751812.386 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1543751812.386 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1543751812.387 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1543751812.387 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1543751812.387 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.387 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.387 * [misc]taylor: Taking taylor expansion of k in n 1543751812.387 * [misc]backup-simplify: Simplify k into k 1543751812.387 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.387 * [misc]backup-simplify: Simplify 2 into 2 1543751812.387 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.387 * [misc]taylor: Taking taylor expansion of n in n 1543751812.387 * [misc]backup-simplify: Simplify 0 into 0 1543751812.387 * [misc]backup-simplify: Simplify 1 into 1 1543751812.387 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.387 * [misc]backup-simplify: Simplify PI into PI 1543751812.387 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.388 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.388 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.388 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.389 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.389 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751812.389 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751812.389 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751812.389 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.390 * [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)))) 1543751812.390 * [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))))) 1543751812.391 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1543751812.391 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751812.391 * [misc]taylor: Taking taylor expansion of k in n 1543751812.391 * [misc]backup-simplify: Simplify k into k 1543751812.391 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751812.391 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751812.391 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.391 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.391 * [misc]taylor: Taking taylor expansion of k in k 1543751812.391 * [misc]backup-simplify: Simplify 0 into 0 1543751812.391 * [misc]backup-simplify: Simplify 1 into 1 1543751812.391 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.391 * [misc]backup-simplify: Simplify 2 into 2 1543751812.391 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751812.391 * [misc]taylor: Taking taylor expansion of n in k 1543751812.391 * [misc]backup-simplify: Simplify n into n 1543751812.391 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.391 * [misc]backup-simplify: Simplify PI into PI 1543751812.391 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751812.392 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751812.392 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751812.392 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751812.392 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.392 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.392 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751812.392 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751812.392 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1543751812.392 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of k in k 1543751812.393 * [misc]backup-simplify: Simplify 0 into 0 1543751812.393 * [misc]backup-simplify: Simplify 1 into 1 1543751812.393 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.393 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.393 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.393 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.393 * [misc]taylor: Taking taylor expansion of k in k 1543751812.393 * [misc]backup-simplify: Simplify 0 into 0 1543751812.393 * [misc]backup-simplify: Simplify 1 into 1 1543751812.393 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.393 * [misc]backup-simplify: Simplify 2 into 2 1543751812.393 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751812.393 * [misc]taylor: Taking taylor expansion of n in k 1543751812.393 * [misc]backup-simplify: Simplify n into n 1543751812.393 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.393 * [misc]backup-simplify: Simplify PI into PI 1543751812.393 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751812.393 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751812.394 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751812.394 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751812.394 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.394 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.394 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751812.394 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751812.394 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1543751812.394 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751812.395 * [misc]taylor: Taking taylor expansion of k in k 1543751812.395 * [misc]backup-simplify: Simplify 0 into 0 1543751812.395 * [misc]backup-simplify: Simplify 1 into 1 1543751812.395 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.395 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.395 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1543751812.395 * [misc]taylor: Taking taylor expansion of 0 in n 1543751812.395 * [misc]backup-simplify: Simplify 0 into 0 1543751812.395 * [misc]backup-simplify: Simplify 0 into 0 1543751812.396 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1543751812.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1543751812.397 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1543751812.397 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751812.397 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.397 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1543751812.398 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1543751812.399 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1543751812.401 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1543751812.401 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1543751812.401 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1543751812.401 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.401 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.401 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1543751812.401 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1543751812.401 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1543751812.401 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.401 * [misc]taylor: Taking taylor expansion of n in n 1543751812.401 * [misc]backup-simplify: Simplify 0 into 0 1543751812.401 * [misc]backup-simplify: Simplify 1 into 1 1543751812.401 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.401 * [misc]backup-simplify: Simplify PI into PI 1543751812.401 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.402 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1543751812.402 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.402 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1543751812.402 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1543751812.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.403 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1543751812.403 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1543751812.403 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.404 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1543751812.405 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.406 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.406 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.406 * [misc]backup-simplify: Simplify 0 into 0 1543751812.407 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751812.408 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.408 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1543751812.409 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1543751812.409 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751812.410 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.410 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.410 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1543751812.411 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1543751812.423 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1543751812.439 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1543751812.439 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1543751812.439 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1543751812.439 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1543751812.439 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.439 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.439 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1543751812.439 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1543751812.439 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.440 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.440 * [misc]backup-simplify: Simplify 2 into 2 1543751812.440 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.440 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.440 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1543751812.440 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.440 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.440 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.440 * [misc]backup-simplify: Simplify 2 into 2 1543751812.440 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.440 * [misc]taylor: Taking taylor expansion of n in n 1543751812.440 * [misc]backup-simplify: Simplify 0 into 0 1543751812.440 * [misc]backup-simplify: Simplify 1 into 1 1543751812.440 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.440 * [misc]backup-simplify: Simplify PI into PI 1543751812.441 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.441 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.442 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.442 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.443 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.443 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1543751812.443 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1543751812.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.443 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1543751812.443 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1543751812.443 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1543751812.444 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1543751812.444 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.444 * [misc]taylor: Taking taylor expansion of n in n 1543751812.444 * [misc]backup-simplify: Simplify 0 into 0 1543751812.444 * [misc]backup-simplify: Simplify 1 into 1 1543751812.444 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.444 * [misc]backup-simplify: Simplify PI into PI 1543751812.444 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.445 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.445 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1543751812.445 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.446 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1543751812.446 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1543751812.446 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1543751812.446 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.446 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.446 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1543751812.446 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1543751812.446 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1543751812.446 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.446 * [misc]taylor: Taking taylor expansion of n in n 1543751812.446 * [misc]backup-simplify: Simplify 0 into 0 1543751812.446 * [misc]backup-simplify: Simplify 1 into 1 1543751812.446 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.446 * [misc]backup-simplify: Simplify PI into PI 1543751812.447 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.447 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.448 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1543751812.448 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.449 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1543751812.449 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1543751812.449 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.449 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1543751812.449 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1543751812.450 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.450 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1543751812.452 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1543751812.453 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1543751812.454 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.454 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1543751812.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751812.457 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751812.460 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.462 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1543751812.464 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1543751812.468 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1543751812.469 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1543751812.481 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1543751812.482 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.482 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1543751812.484 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.486 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1543751812.498 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1543751812.512 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1543751812.525 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1543751812.526 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1543751812.528 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751812.529 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1543751812.531 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1543751812.534 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1543751812.539 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1543751812.541 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1543751812.543 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1543751812.559 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1543751812.559 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1543751812.559 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1543751812.559 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1543751812.559 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.559 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.559 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of k in n 1543751812.560 * [misc]backup-simplify: Simplify k into k 1543751812.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.560 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.560 * [misc]backup-simplify: Simplify 2 into 2 1543751812.560 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.560 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.560 * [misc]backup-simplify: Simplify PI into PI 1543751812.560 * [misc]taylor: Taking taylor expansion of n in n 1543751812.560 * [misc]backup-simplify: Simplify 0 into 0 1543751812.560 * [misc]backup-simplify: Simplify 1 into 1 1543751812.560 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.561 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.561 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.561 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.561 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.561 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.562 * [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))) 1543751812.563 * [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)))) 1543751812.563 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1543751812.563 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751812.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.563 * [misc]taylor: Taking taylor expansion of k in n 1543751812.563 * [misc]backup-simplify: Simplify k into k 1543751812.563 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.563 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751812.563 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.563 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751812.563 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1543751812.563 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751812.563 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751812.563 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751812.563 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751812.563 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751812.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.564 * [misc]taylor: Taking taylor expansion of k in k 1543751812.564 * [misc]backup-simplify: Simplify 0 into 0 1543751812.564 * [misc]backup-simplify: Simplify 1 into 1 1543751812.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.564 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751812.564 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751812.564 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.564 * [misc]backup-simplify: Simplify 2 into 2 1543751812.564 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.564 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.564 * [misc]backup-simplify: Simplify PI into PI 1543751812.564 * [misc]taylor: Taking taylor expansion of n in k 1543751812.564 * [misc]backup-simplify: Simplify n into n 1543751812.564 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.564 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751812.564 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751812.564 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.564 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.565 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.565 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751812.565 * [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)))) 1543751812.565 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1543751812.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751812.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.565 * [misc]taylor: Taking taylor expansion of k in k 1543751812.565 * [misc]backup-simplify: Simplify 0 into 0 1543751812.565 * [misc]backup-simplify: Simplify 1 into 1 1543751812.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.565 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.566 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.566 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of k in k 1543751812.566 * [misc]backup-simplify: Simplify 0 into 0 1543751812.566 * [misc]backup-simplify: Simplify 1 into 1 1543751812.566 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.566 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.566 * [misc]backup-simplify: Simplify 2 into 2 1543751812.566 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.566 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.566 * [misc]backup-simplify: Simplify PI into PI 1543751812.566 * [misc]taylor: Taking taylor expansion of n in k 1543751812.566 * [misc]backup-simplify: Simplify n into n 1543751812.566 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.566 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751812.566 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751812.567 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.567 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.567 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.567 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751812.567 * [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)))) 1543751812.567 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1543751812.567 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751812.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.567 * [misc]taylor: Taking taylor expansion of k in k 1543751812.567 * [misc]backup-simplify: Simplify 0 into 0 1543751812.567 * [misc]backup-simplify: Simplify 1 into 1 1543751812.567 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.568 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.568 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.568 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1543751812.568 * [misc]taylor: Taking taylor expansion of 0 in n 1543751812.568 * [misc]backup-simplify: Simplify 0 into 0 1543751812.568 * [misc]backup-simplify: Simplify 0 into 0 1543751812.568 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751812.569 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1543751812.569 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.569 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.569 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.569 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of k in n 1543751812.569 * [misc]backup-simplify: Simplify k into k 1543751812.569 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.569 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.569 * [misc]backup-simplify: Simplify 2 into 2 1543751812.569 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.569 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.569 * [misc]backup-simplify: Simplify PI into PI 1543751812.569 * [misc]taylor: Taking taylor expansion of n in n 1543751812.569 * [misc]backup-simplify: Simplify 0 into 0 1543751812.569 * [misc]backup-simplify: Simplify 1 into 1 1543751812.570 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.570 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.570 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.570 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.570 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.570 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.571 * [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))) 1543751812.572 * [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)))) 1543751812.572 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1543751812.573 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751812.573 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1543751812.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1543751812.574 * [misc]backup-simplify: Simplify 0 into 0 1543751812.574 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751812.575 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751812.577 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751812.578 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1543751812.578 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.578 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.578 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.578 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of k in n 1543751812.578 * [misc]backup-simplify: Simplify k into k 1543751812.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.578 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.578 * [misc]backup-simplify: Simplify 2 into 2 1543751812.578 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.578 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.578 * [misc]backup-simplify: Simplify PI into PI 1543751812.578 * [misc]taylor: Taking taylor expansion of n in n 1543751812.578 * [misc]backup-simplify: Simplify 0 into 0 1543751812.578 * [misc]backup-simplify: Simplify 1 into 1 1543751812.579 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.579 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.579 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.579 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.579 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.579 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.580 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.581 * [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))) 1543751812.582 * [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)))) 1543751812.582 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1543751812.583 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751812.584 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1543751812.585 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1543751812.586 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.587 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751812.590 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.591 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751812.591 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.593 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1543751812.594 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.596 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1543751812.597 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1543751812.597 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.597 * [misc]backup-simplify: Simplify 0 into 0 1543751812.597 * [misc]backup-simplify: Simplify 0 into 0 1543751812.598 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.599 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751812.600 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751812.601 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1543751812.601 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.601 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.601 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.601 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.601 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of k in n 1543751812.601 * [misc]backup-simplify: Simplify k into k 1543751812.601 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.601 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.601 * [misc]backup-simplify: Simplify 2 into 2 1543751812.601 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.601 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.601 * [misc]backup-simplify: Simplify PI into PI 1543751812.601 * [misc]taylor: Taking taylor expansion of n in n 1543751812.601 * [misc]backup-simplify: Simplify 0 into 0 1543751812.601 * [misc]backup-simplify: Simplify 1 into 1 1543751812.602 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.602 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.603 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.603 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.603 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.603 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.604 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.605 * [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))) 1543751812.605 * [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)))) 1543751812.606 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1543751812.607 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751812.608 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1543751812.609 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1543751812.613 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1543751812.613 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751812.613 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1543751812.613 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.613 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751812.613 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751812.613 * [misc]taylor: Taking taylor expansion of -1 in n 1543751812.613 * [misc]backup-simplify: Simplify -1 into -1 1543751812.613 * [misc]taylor: Taking taylor expansion of k in n 1543751812.613 * [misc]backup-simplify: Simplify k into k 1543751812.614 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751812.614 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751812.614 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751812.614 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751812.614 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.614 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of k in n 1543751812.614 * [misc]backup-simplify: Simplify k into k 1543751812.614 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.614 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.614 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.614 * [misc]backup-simplify: Simplify -2 into -2 1543751812.614 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.614 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.615 * [misc]backup-simplify: Simplify PI into PI 1543751812.615 * [misc]taylor: Taking taylor expansion of n in n 1543751812.615 * [misc]backup-simplify: Simplify 0 into 0 1543751812.615 * [misc]backup-simplify: Simplify 1 into 1 1543751812.615 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.615 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.616 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.616 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.616 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.617 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.618 * [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))) 1543751812.618 * [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)))) 1543751812.619 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1543751812.619 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751812.619 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751812.619 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751812.619 * [misc]taylor: Taking taylor expansion of -1 in k 1543751812.620 * [misc]backup-simplify: Simplify -1 into -1 1543751812.620 * [misc]taylor: Taking taylor expansion of k in k 1543751812.620 * [misc]backup-simplify: Simplify 0 into 0 1543751812.620 * [misc]backup-simplify: Simplify 1 into 1 1543751812.620 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751812.620 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.620 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751812.620 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751812.620 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of k in k 1543751812.621 * [misc]backup-simplify: Simplify 0 into 0 1543751812.621 * [misc]backup-simplify: Simplify 1 into 1 1543751812.621 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.621 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of -2 in k 1543751812.621 * [misc]backup-simplify: Simplify -2 into -2 1543751812.621 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.621 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.621 * [misc]backup-simplify: Simplify PI into PI 1543751812.621 * [misc]taylor: Taking taylor expansion of n in k 1543751812.621 * [misc]backup-simplify: Simplify n into n 1543751812.621 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.622 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751812.622 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751812.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.622 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.622 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751812.623 * [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))) 1543751812.623 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751812.623 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751812.623 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751812.623 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751812.623 * [misc]taylor: Taking taylor expansion of -1 in k 1543751812.623 * [misc]backup-simplify: Simplify -1 into -1 1543751812.623 * [misc]taylor: Taking taylor expansion of k in k 1543751812.623 * [misc]backup-simplify: Simplify 0 into 0 1543751812.623 * [misc]backup-simplify: Simplify 1 into 1 1543751812.623 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751812.624 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.624 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751812.624 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751812.624 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751812.624 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751812.624 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751812.624 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.624 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.624 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.624 * [misc]taylor: Taking taylor expansion of k in k 1543751812.624 * [misc]backup-simplify: Simplify 0 into 0 1543751812.624 * [misc]backup-simplify: Simplify 1 into 1 1543751812.625 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.625 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751812.625 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751812.625 * [misc]taylor: Taking taylor expansion of -2 in k 1543751812.625 * [misc]backup-simplify: Simplify -2 into -2 1543751812.625 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.625 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.625 * [misc]backup-simplify: Simplify PI into PI 1543751812.625 * [misc]taylor: Taking taylor expansion of n in k 1543751812.625 * [misc]backup-simplify: Simplify n into n 1543751812.625 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.625 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751812.625 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751812.626 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.626 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.626 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751812.626 * [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))) 1543751812.626 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751812.627 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751812.627 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.627 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.627 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.627 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.627 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.627 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.627 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.627 * [misc]backup-simplify: Simplify -2 into -2 1543751812.627 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.627 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.627 * [misc]backup-simplify: Simplify PI into PI 1543751812.627 * [misc]taylor: Taking taylor expansion of n in n 1543751812.627 * [misc]backup-simplify: Simplify 0 into 0 1543751812.627 * [misc]backup-simplify: Simplify 1 into 1 1543751812.627 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.628 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.628 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.628 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.628 * [misc]taylor: Taking taylor expansion of k in n 1543751812.628 * [misc]backup-simplify: Simplify k into k 1543751812.628 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.629 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.629 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.629 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.630 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1543751812.631 * [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)))) 1543751812.632 * [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))))) 1543751812.633 * [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))))) 1543751812.633 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751812.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751812.635 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751812.635 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1543751812.635 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751812.635 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.635 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.635 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751812.635 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.635 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.635 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.635 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.636 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.636 * [misc]backup-simplify: Simplify -2 into -2 1543751812.636 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.636 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.636 * [misc]backup-simplify: Simplify PI into PI 1543751812.636 * [misc]taylor: Taking taylor expansion of n in n 1543751812.636 * [misc]backup-simplify: Simplify 0 into 0 1543751812.636 * [misc]backup-simplify: Simplify 1 into 1 1543751812.636 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.637 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.637 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.637 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.637 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.637 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.637 * [misc]taylor: Taking taylor expansion of k in n 1543751812.637 * [misc]backup-simplify: Simplify k into k 1543751812.637 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.638 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.638 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.639 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1543751812.640 * [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)))) 1543751812.641 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1543751812.642 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751812.642 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1543751812.643 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1543751812.644 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.644 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751812.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.647 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751812.650 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1543751812.650 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1543751812.652 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.653 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1543751812.653 * [misc]backup-simplify: Simplify 0 into 0 1543751812.654 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.654 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751812.655 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751812.655 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1543751812.655 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751812.655 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.655 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.655 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751812.655 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.655 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.656 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.656 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.656 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.656 * [misc]backup-simplify: Simplify -2 into -2 1543751812.656 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.656 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.656 * [misc]backup-simplify: Simplify PI into PI 1543751812.656 * [misc]taylor: Taking taylor expansion of n in n 1543751812.656 * [misc]backup-simplify: Simplify 0 into 0 1543751812.656 * [misc]backup-simplify: Simplify 1 into 1 1543751812.656 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.656 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.656 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.656 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.656 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.656 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.657 * [misc]taylor: Taking taylor expansion of k in n 1543751812.657 * [misc]backup-simplify: Simplify k into k 1543751812.657 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.657 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.657 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.657 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.657 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.658 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1543751812.658 * [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)))) 1543751812.659 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1543751812.659 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751812.660 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1543751812.660 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1543751812.662 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1543751812.662 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1543751812.663 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1543751812.663 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1543751812.663 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of k in n 1543751812.663 * [misc]backup-simplify: Simplify k into k 1543751812.663 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.663 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751812.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.663 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751812.663 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.663 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.663 * [misc]taylor: Taking taylor expansion of k in n 1543751812.663 * [misc]backup-simplify: Simplify k into k 1543751812.663 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.663 * [misc]backup-simplify: Simplify 2 into 2 1543751812.663 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.663 * [misc]taylor: Taking taylor expansion of n in n 1543751812.663 * [misc]backup-simplify: Simplify 0 into 0 1543751812.663 * [misc]backup-simplify: Simplify 1 into 1 1543751812.663 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.663 * [misc]backup-simplify: Simplify PI into PI 1543751812.664 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.664 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.665 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.665 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.665 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751812.665 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751812.665 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751812.665 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.666 * [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)))) 1543751812.666 * [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))))) 1543751812.666 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1543751812.666 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751812.666 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.666 * [misc]taylor: Taking taylor expansion of k in k 1543751812.666 * [misc]backup-simplify: Simplify 0 into 0 1543751812.667 * [misc]backup-simplify: Simplify 1 into 1 1543751812.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.667 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.667 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.667 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.667 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.667 * [misc]taylor: Taking taylor expansion of k in k 1543751812.667 * [misc]backup-simplify: Simplify 0 into 0 1543751812.667 * [misc]backup-simplify: Simplify 1 into 1 1543751812.667 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.667 * [misc]backup-simplify: Simplify 2 into 2 1543751812.667 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751812.667 * [misc]taylor: Taking taylor expansion of n in k 1543751812.667 * [misc]backup-simplify: Simplify n into n 1543751812.667 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.667 * [misc]backup-simplify: Simplify PI into PI 1543751812.667 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751812.668 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751812.668 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751812.668 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751812.668 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.668 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.668 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751812.668 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751812.668 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1543751812.668 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751812.668 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.668 * [misc]taylor: Taking taylor expansion of k in k 1543751812.668 * [misc]backup-simplify: Simplify 0 into 0 1543751812.668 * [misc]backup-simplify: Simplify 1 into 1 1543751812.668 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.668 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.669 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.669 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.669 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.669 * [misc]taylor: Taking taylor expansion of k in k 1543751812.669 * [misc]backup-simplify: Simplify 0 into 0 1543751812.669 * [misc]backup-simplify: Simplify 1 into 1 1543751812.669 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.669 * [misc]backup-simplify: Simplify 2 into 2 1543751812.669 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1543751812.669 * [misc]taylor: Taking taylor expansion of n in k 1543751812.669 * [misc]backup-simplify: Simplify n into n 1543751812.669 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.669 * [misc]backup-simplify: Simplify PI into PI 1543751812.669 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1543751812.669 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1543751812.669 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1543751812.669 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751812.670 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.670 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.670 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1543751812.670 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1543751812.670 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1543751812.670 * [misc]taylor: Taking taylor expansion of 0 in n 1543751812.670 * [misc]backup-simplify: Simplify 0 into 0 1543751812.670 * [misc]backup-simplify: Simplify 0 into 0 1543751812.671 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1543751812.671 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1543751812.672 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1543751812.672 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751812.672 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.672 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.672 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1543751812.673 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1543751812.673 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1543751812.673 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1543751812.673 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751812.673 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.673 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.673 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751812.673 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.673 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.673 * [misc]backup-simplify: Simplify 2 into 2 1543751812.673 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.674 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.674 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751812.674 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.674 * [misc]taylor: Taking taylor expansion of n in n 1543751812.674 * [misc]backup-simplify: Simplify 0 into 0 1543751812.674 * [misc]backup-simplify: Simplify 1 into 1 1543751812.674 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.674 * [misc]backup-simplify: Simplify PI into PI 1543751812.674 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.675 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.675 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751812.675 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751812.675 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751812.675 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.675 * [misc]backup-simplify: Simplify 0 into 0 1543751812.675 * [misc]backup-simplify: Simplify 0 into 0 1543751812.676 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1543751812.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1543751812.678 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1543751812.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751812.678 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1543751812.680 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1543751812.680 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751812.682 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751812.684 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1543751812.684 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1543751812.684 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1543751812.684 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1543751812.684 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.684 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.684 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1543751812.684 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1543751812.684 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.684 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.684 * [misc]backup-simplify: Simplify 2 into 2 1543751812.684 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.685 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.685 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.685 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.685 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.685 * [misc]backup-simplify: Simplify 2 into 2 1543751812.685 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.685 * [misc]taylor: Taking taylor expansion of n in n 1543751812.685 * [misc]backup-simplify: Simplify 0 into 0 1543751812.685 * [misc]backup-simplify: Simplify 1 into 1 1543751812.685 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.685 * [misc]backup-simplify: Simplify PI into PI 1543751812.686 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.686 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.687 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.688 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.688 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751812.688 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.688 * [misc]taylor: Taking taylor expansion of n in n 1543751812.688 * [misc]backup-simplify: Simplify 0 into 0 1543751812.688 * [misc]backup-simplify: Simplify 1 into 1 1543751812.688 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.688 * [misc]backup-simplify: Simplify PI into PI 1543751812.688 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.689 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.690 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751812.690 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1543751812.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751812.690 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.690 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751812.690 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.690 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.690 * [misc]backup-simplify: Simplify 2 into 2 1543751812.690 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.690 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.690 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751812.690 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.690 * [misc]taylor: Taking taylor expansion of n in n 1543751812.690 * [misc]backup-simplify: Simplify 0 into 0 1543751812.690 * [misc]backup-simplify: Simplify 1 into 1 1543751812.690 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.691 * [misc]backup-simplify: Simplify PI into PI 1543751812.691 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.692 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.692 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751812.693 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.694 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1543751812.695 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1543751812.695 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751812.695 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751812.695 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751812.695 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.696 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.696 * [misc]backup-simplify: Simplify 0 into 0 1543751812.697 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.699 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.701 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.702 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.702 * [misc]backup-simplify: Simplify 0 into 0 1543751812.705 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1543751812.706 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1543751812.710 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1543751812.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751812.711 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1543751812.715 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1543751812.715 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.717 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751812.721 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1543751812.721 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1543751812.721 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1543751812.721 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1543751812.721 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.721 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.722 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1543751812.722 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1543751812.722 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.722 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.722 * [misc]backup-simplify: Simplify 2 into 2 1543751812.722 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.723 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.723 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.723 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.723 * [misc]backup-simplify: Simplify 2 into 2 1543751812.723 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.723 * [misc]taylor: Taking taylor expansion of n in n 1543751812.723 * [misc]backup-simplify: Simplify 0 into 0 1543751812.723 * [misc]backup-simplify: Simplify 1 into 1 1543751812.723 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.723 * [misc]backup-simplify: Simplify PI into PI 1543751812.723 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.723 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.724 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.725 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.725 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.725 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751812.725 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.726 * [misc]taylor: Taking taylor expansion of n in n 1543751812.726 * [misc]backup-simplify: Simplify 0 into 0 1543751812.726 * [misc]backup-simplify: Simplify 1 into 1 1543751812.726 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.726 * [misc]backup-simplify: Simplify PI into PI 1543751812.726 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.727 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751812.727 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1543751812.727 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.728 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.728 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.728 * [misc]backup-simplify: Simplify 2 into 2 1543751812.728 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.728 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.728 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.728 * [misc]backup-simplify: Simplify 2 into 2 1543751812.728 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.728 * [misc]taylor: Taking taylor expansion of n in n 1543751812.728 * [misc]backup-simplify: Simplify 0 into 0 1543751812.728 * [misc]backup-simplify: Simplify 1 into 1 1543751812.728 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.729 * [misc]backup-simplify: Simplify PI into PI 1543751812.729 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.729 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751812.730 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.730 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1543751812.731 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.732 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.732 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751812.732 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.732 * [misc]taylor: Taking taylor expansion of n in n 1543751812.732 * [misc]backup-simplify: Simplify 0 into 0 1543751812.732 * [misc]backup-simplify: Simplify 1 into 1 1543751812.732 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.732 * [misc]backup-simplify: Simplify PI into PI 1543751812.732 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.734 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751812.734 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1543751812.734 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751812.734 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.734 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.734 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751812.734 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751812.734 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.734 * [misc]backup-simplify: Simplify 2 into 2 1543751812.734 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751812.734 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751812.734 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751812.734 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751812.734 * [misc]taylor: Taking taylor expansion of n in n 1543751812.734 * [misc]backup-simplify: Simplify 0 into 0 1543751812.734 * [misc]backup-simplify: Simplify 1 into 1 1543751812.734 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.734 * [misc]backup-simplify: Simplify PI into PI 1543751812.735 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751812.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751812.735 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.736 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751812.736 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.737 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1543751812.737 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1543751812.737 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751812.738 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.738 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.739 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1543751812.740 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1543751812.741 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1543751812.741 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751812.741 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751812.741 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751812.741 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.741 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.742 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.742 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.742 * [misc]backup-simplify: Simplify 0 into 0 1543751812.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751812.743 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1543751812.745 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.746 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1543751812.746 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1543751812.747 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1543751812.749 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1543751812.750 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.751 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.752 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751812.754 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1543751812.757 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1543751812.759 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1543751812.760 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751812.761 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1543751812.762 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1543751812.764 * [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)))) 1543751812.769 * [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)))) 1543751812.772 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1543751812.774 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1543751812.783 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +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 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1543751812.783 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1543751812.783 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1543751812.783 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.783 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751812.783 * [misc]taylor: Taking taylor expansion of k in n 1543751812.784 * [misc]backup-simplify: Simplify k into k 1543751812.784 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751812.784 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751812.784 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of k in n 1543751812.784 * [misc]backup-simplify: Simplify k into k 1543751812.784 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.784 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.784 * [misc]backup-simplify: Simplify 2 into 2 1543751812.784 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.784 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.784 * [misc]backup-simplify: Simplify PI into PI 1543751812.784 * [misc]taylor: Taking taylor expansion of n in n 1543751812.784 * [misc]backup-simplify: Simplify 0 into 0 1543751812.784 * [misc]backup-simplify: Simplify 1 into 1 1543751812.785 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.785 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.786 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.786 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.786 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.786 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.788 * [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))) 1543751812.789 * [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)))) 1543751812.789 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751812.789 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751812.789 * [misc]taylor: Taking taylor expansion of k in k 1543751812.789 * [misc]backup-simplify: Simplify 0 into 0 1543751812.789 * [misc]backup-simplify: Simplify 1 into 1 1543751812.789 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.789 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.789 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751812.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751812.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751812.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751812.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.790 * [misc]taylor: Taking taylor expansion of k in k 1543751812.790 * [misc]backup-simplify: Simplify 0 into 0 1543751812.790 * [misc]backup-simplify: Simplify 1 into 1 1543751812.790 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.790 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751812.790 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751812.790 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.790 * [misc]backup-simplify: Simplify 2 into 2 1543751812.790 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.790 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.790 * [misc]backup-simplify: Simplify PI into PI 1543751812.790 * [misc]taylor: Taking taylor expansion of n in k 1543751812.790 * [misc]backup-simplify: Simplify n into n 1543751812.790 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.790 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751812.791 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751812.791 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.791 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.791 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.791 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751812.792 * [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)))) 1543751812.792 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751812.792 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751812.792 * [misc]taylor: Taking taylor expansion of k in k 1543751812.792 * [misc]backup-simplify: Simplify 0 into 0 1543751812.792 * [misc]backup-simplify: Simplify 1 into 1 1543751812.792 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.792 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751812.792 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751812.792 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of k in k 1543751812.793 * [misc]backup-simplify: Simplify 0 into 0 1543751812.793 * [misc]backup-simplify: Simplify 1 into 1 1543751812.793 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.793 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of 2 in k 1543751812.793 * [misc]backup-simplify: Simplify 2 into 2 1543751812.793 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.793 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.793 * [misc]backup-simplify: Simplify PI into PI 1543751812.793 * [misc]taylor: Taking taylor expansion of n in k 1543751812.793 * [misc]backup-simplify: Simplify n into n 1543751812.793 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.793 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1543751812.794 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1543751812.794 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.794 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751812.794 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751812.794 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1543751812.795 * [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)))) 1543751812.795 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1543751812.795 * [misc]taylor: Taking taylor expansion of 0 in n 1543751812.795 * [misc]backup-simplify: Simplify 0 into 0 1543751812.795 * [misc]backup-simplify: Simplify 0 into 0 1543751812.796 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751812.796 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.796 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.796 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.796 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.796 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of k in n 1543751812.796 * [misc]backup-simplify: Simplify k into k 1543751812.796 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.796 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.796 * [misc]backup-simplify: Simplify 2 into 2 1543751812.796 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.796 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.796 * [misc]backup-simplify: Simplify PI into PI 1543751812.796 * [misc]taylor: Taking taylor expansion of n in n 1543751812.796 * [misc]backup-simplify: Simplify 0 into 0 1543751812.797 * [misc]backup-simplify: Simplify 1 into 1 1543751812.797 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.797 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.798 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.798 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.798 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.798 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.799 * [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))) 1543751812.800 * [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)))) 1543751812.801 * [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))))) 1543751812.802 * [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)))))) 1543751812.803 * [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)))))) 1543751812.803 * [misc]backup-simplify: Simplify 0 into 0 1543751812.804 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751812.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751812.805 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.805 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.805 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of k in n 1543751812.805 * [misc]backup-simplify: Simplify k into k 1543751812.805 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.805 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.805 * [misc]backup-simplify: Simplify 2 into 2 1543751812.805 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.805 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.805 * [misc]backup-simplify: Simplify PI into PI 1543751812.805 * [misc]taylor: Taking taylor expansion of n in n 1543751812.805 * [misc]backup-simplify: Simplify 0 into 0 1543751812.805 * [misc]backup-simplify: Simplify 1 into 1 1543751812.806 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.806 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.807 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.807 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.807 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.809 * [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))) 1543751812.809 * [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)))) 1543751812.810 * [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))))) 1543751812.811 * [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)))))) 1543751812.812 * [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)))))) 1543751812.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1543751812.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1543751812.817 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751812.818 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.819 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1543751812.821 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.822 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1543751812.822 * [misc]backup-simplify: Simplify (- 0) into 0 1543751812.822 * [misc]backup-simplify: Simplify 0 into 0 1543751812.822 * [misc]backup-simplify: Simplify 0 into 0 1543751812.824 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751812.824 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751812.824 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751812.824 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751812.824 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.825 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.825 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of k in n 1543751812.825 * [misc]backup-simplify: Simplify k into k 1543751812.825 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.825 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of 2 in n 1543751812.825 * [misc]backup-simplify: Simplify 2 into 2 1543751812.825 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.825 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.825 * [misc]backup-simplify: Simplify PI into PI 1543751812.825 * [misc]taylor: Taking taylor expansion of n in n 1543751812.825 * [misc]backup-simplify: Simplify 0 into 0 1543751812.825 * [misc]backup-simplify: Simplify 1 into 1 1543751812.826 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.826 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1543751812.826 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1543751812.826 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.827 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751812.827 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751812.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1543751812.828 * [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))) 1543751812.831 * [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)))) 1543751812.832 * [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))))) 1543751812.833 * [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)))))) 1543751812.834 * [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)))))) 1543751812.837 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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)))))))) 1543751812.838 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1543751812.838 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1543751812.838 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.838 * [misc]taylor: Taking taylor expansion of k in n 1543751812.839 * [misc]backup-simplify: Simplify k into k 1543751812.839 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.839 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.839 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.839 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.839 * [misc]backup-simplify: Simplify -2 into -2 1543751812.839 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.839 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.839 * [misc]backup-simplify: Simplify PI into PI 1543751812.839 * [misc]taylor: Taking taylor expansion of n in n 1543751812.839 * [misc]backup-simplify: Simplify 0 into 0 1543751812.839 * [misc]backup-simplify: Simplify 1 into 1 1543751812.839 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.840 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.840 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.840 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.840 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.842 * [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))) 1543751812.843 * [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)))) 1543751812.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751812.843 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751812.843 * [misc]taylor: Taking taylor expansion of -1 in n 1543751812.843 * [misc]backup-simplify: Simplify -1 into -1 1543751812.843 * [misc]taylor: Taking taylor expansion of k in n 1543751812.843 * [misc]backup-simplify: Simplify k into k 1543751812.843 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751812.843 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751812.843 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751812.843 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751812.844 * [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))) 1543751812.844 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1543751812.844 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751812.844 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751812.844 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751812.844 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751812.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.845 * [misc]taylor: Taking taylor expansion of k in k 1543751812.845 * [misc]backup-simplify: Simplify 0 into 0 1543751812.845 * [misc]backup-simplify: Simplify 1 into 1 1543751812.845 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.845 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751812.845 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751812.845 * [misc]taylor: Taking taylor expansion of -2 in k 1543751812.845 * [misc]backup-simplify: Simplify -2 into -2 1543751812.845 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.845 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.845 * [misc]backup-simplify: Simplify PI into PI 1543751812.845 * [misc]taylor: Taking taylor expansion of n in k 1543751812.845 * [misc]backup-simplify: Simplify n into n 1543751812.845 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.845 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751812.846 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751812.846 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.846 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.846 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751812.846 * [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))) 1543751812.846 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751812.847 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751812.847 * [misc]taylor: Taking taylor expansion of -1 in k 1543751812.847 * [misc]backup-simplify: Simplify -1 into -1 1543751812.847 * [misc]taylor: Taking taylor expansion of k in k 1543751812.847 * [misc]backup-simplify: Simplify 0 into 0 1543751812.847 * [misc]backup-simplify: Simplify 1 into 1 1543751812.847 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751812.847 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.847 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751812.848 * [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)))) 1543751812.848 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751812.848 * [misc]taylor: Taking taylor expansion of k in k 1543751812.848 * [misc]backup-simplify: Simplify 0 into 0 1543751812.848 * [misc]backup-simplify: Simplify 1 into 1 1543751812.848 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751812.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751812.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.849 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1543751812.849 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1543751812.849 * [misc]taylor: Taking taylor expansion of -2 in k 1543751812.849 * [misc]backup-simplify: Simplify -2 into -2 1543751812.849 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1543751812.849 * [misc]taylor: Taking taylor expansion of PI in k 1543751812.849 * [misc]backup-simplify: Simplify PI into PI 1543751812.849 * [misc]taylor: Taking taylor expansion of n in k 1543751812.849 * [misc]backup-simplify: Simplify n into n 1543751812.849 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1543751812.849 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1543751812.849 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1543751812.849 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751812.850 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751812.850 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1543751812.850 * [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))) 1543751812.850 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751812.850 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751812.850 * [misc]taylor: Taking taylor expansion of -1 in k 1543751812.850 * [misc]backup-simplify: Simplify -1 into -1 1543751812.850 * [misc]taylor: Taking taylor expansion of k in k 1543751812.850 * [misc]backup-simplify: Simplify 0 into 0 1543751812.850 * [misc]backup-simplify: Simplify 1 into 1 1543751812.851 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751812.851 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751812.851 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751812.852 * [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)))) 1543751812.852 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751812.852 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.852 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.852 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.852 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.852 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.852 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.852 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.852 * [misc]backup-simplify: Simplify -2 into -2 1543751812.852 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.852 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.852 * [misc]backup-simplify: Simplify PI into PI 1543751812.852 * [misc]taylor: Taking taylor expansion of n in n 1543751812.852 * [misc]backup-simplify: Simplify 0 into 0 1543751812.852 * [misc]backup-simplify: Simplify 1 into 1 1543751812.853 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.853 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.853 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.853 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.854 * [misc]taylor: Taking taylor expansion of k in n 1543751812.854 * [misc]backup-simplify: Simplify k into k 1543751812.854 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.855 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.855 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.855 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1543751812.856 * [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)))) 1543751812.857 * [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))))) 1543751812.858 * [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))))) 1543751812.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751812.859 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751812.860 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751812.860 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751812.860 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751812.860 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.860 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.860 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.861 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.861 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.861 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.861 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.861 * [misc]backup-simplify: Simplify -2 into -2 1543751812.861 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.861 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.861 * [misc]backup-simplify: Simplify PI into PI 1543751812.861 * [misc]taylor: Taking taylor expansion of n in n 1543751812.861 * [misc]backup-simplify: Simplify 0 into 0 1543751812.861 * [misc]backup-simplify: Simplify 1 into 1 1543751812.861 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.861 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.862 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.862 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.862 * [misc]taylor: Taking taylor expansion of k in n 1543751812.862 * [misc]backup-simplify: Simplify k into k 1543751812.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.863 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.863 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.863 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.864 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1543751812.865 * [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)))) 1543751812.866 * [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))))) 1543751812.866 * [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)))))) 1543751812.867 * [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)))))) 1543751812.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.868 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751812.869 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751812.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751812.870 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1543751812.871 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1543751812.874 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1543751812.875 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1543751812.876 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751812.877 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1543751812.877 * [misc]backup-simplify: Simplify 0 into 0 1543751812.878 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751812.879 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751812.880 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751812.880 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751812.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751812.881 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751812.881 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751812.881 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751812.881 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751812.881 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1543751812.881 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1543751812.881 * [misc]taylor: Taking taylor expansion of -2 in n 1543751812.881 * [misc]backup-simplify: Simplify -2 into -2 1543751812.881 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1543751812.881 * [misc]taylor: Taking taylor expansion of PI in n 1543751812.881 * [misc]backup-simplify: Simplify PI into PI 1543751812.881 * [misc]taylor: Taking taylor expansion of n in n 1543751812.881 * [misc]backup-simplify: Simplify 0 into 0 1543751812.881 * [misc]backup-simplify: Simplify 1 into 1 1543751812.881 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1543751812.882 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1543751812.882 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1543751812.882 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751812.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751812.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751812.882 * [misc]taylor: Taking taylor expansion of k in n 1543751812.882 * [misc]backup-simplify: Simplify k into k 1543751812.882 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751812.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751812.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751812.884 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1543751812.884 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751812.884 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751812.884 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1543751812.885 * [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)))) 1543751812.886 * [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))))) 1543751812.887 * [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)))))) 1543751812.888 * [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)))))) 1543751812.891 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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))))))))))) 1543751812.892 * * * [misc]progress: simplifying candidates 1543751812.892 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1543751812.892 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1543751812.893 * * [misc]simplify: iters left: 6 (11 enodes) 1543751812.898 * * [misc]simplify: iters left: 5 (21 enodes) 1543751812.910 * * [misc]simplify: iters left: 4 (47 enodes) 1543751812.937 * * [misc]simplify: iters left: 3 (109 enodes) 1543751812.993 * * [misc]simplify: iters left: 2 (300 enodes) 1543751813.307 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1543751813.307 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1543751813.307 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1543751813.307 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1543751813.308 * [enter]simplify: Simplifying (* PI (* n 2)) 1543751813.308 * * [misc]simplify: iters left: 4 (5 enodes) 1543751813.309 * * [misc]simplify: iters left: 3 (9 enodes) 1543751813.311 * * [misc]simplify: iters left: 2 (15 enodes) 1543751813.314 * * [misc]simplify: iters left: 1 (17 enodes) 1543751813.316 * [exit]simplify: Simplified to (* (* 2 n) PI) 1543751813.316 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1543751813.316 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1543751813.316 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1543751813.317 * * [misc]simplify: iters left: 5 (8 enodes) 1543751813.319 * * [misc]simplify: iters left: 4 (12 enodes) 1543751813.321 * * [misc]simplify: iters left: 3 (18 enodes) 1543751813.324 * * [misc]simplify: iters left: 2 (20 enodes) 1543751813.327 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1543751813.328 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1543751813.328 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1543751813.328 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1543751813.328 * * [misc]simplify: iters left: 5 (6 enodes) 1543751813.329 * * [misc]simplify: iters left: 4 (8 enodes) 1543751813.331 * * [misc]simplify: iters left: 3 (11 enodes) 1543751813.334 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1543751813.334 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1543751813.334 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1543751813.334 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1543751813.334 * * [misc]simplify: iters left: 5 (6 enodes) 1543751813.337 * * [misc]simplify: iters left: 4 (8 enodes) 1543751813.340 * * [misc]simplify: iters left: 3 (11 enodes) 1543751813.343 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1543751813.343 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1543751813.343 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1543751813.344 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751813.344 * * [misc]simplify: iters left: 4 (5 enodes) 1543751813.346 * * [misc]simplify: iters left: 3 (7 enodes) 1543751813.349 * * [misc]simplify: iters left: 2 (10 enodes) 1543751813.352 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751813.352 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1543751813.352 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1543751813.353 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1543751813.353 * * [misc]simplify: iters left: 5 (9 enodes) 1543751813.359 * * [misc]simplify: iters left: 4 (15 enodes) 1543751813.364 * * [misc]simplify: iters left: 3 (21 enodes) 1543751813.371 * * [misc]simplify: iters left: 2 (22 enodes) 1543751813.379 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1543751813.379 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1543751813.379 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1543751813.379 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1543751813.380 * * [misc]simplify: iters left: 5 (9 enodes) 1543751813.384 * * [misc]simplify: iters left: 4 (15 enodes) 1543751813.390 * * [misc]simplify: iters left: 3 (21 enodes) 1543751813.394 * * [misc]simplify: iters left: 2 (22 enodes) 1543751813.398 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1543751813.398 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1543751813.398 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1543751813.398 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1543751813.399 * * [misc]simplify: iters left: 5 (7 enodes) 1543751813.403 * * [misc]simplify: iters left: 4 (9 enodes) 1543751813.407 * * [misc]simplify: iters left: 3 (12 enodes) 1543751813.411 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1543751813.411 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751813.411 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1543751813.411 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1543751813.412 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1543751813.413 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1543751813.413 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1543751813.414 * * [misc]simplify: iters left: 6 (14 enodes) 1543751813.421 * * [misc]simplify: iters left: 5 (26 enodes) 1543751813.435 * * [misc]simplify: iters left: 4 (59 enodes) 1543751813.467 * * [misc]simplify: iters left: 3 (164 enodes) 1543751813.563 * * [misc]simplify: iters left: 2 (488 enodes) 1543751814.206 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1543751814.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1543751814.207 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1543751814.207 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1543751814.209 * * [misc]simplify: iters left: 6 (14 enodes) 1543751814.216 * * [misc]simplify: iters left: 5 (26 enodes) 1543751814.229 * * [misc]simplify: iters left: 4 (59 enodes) 1543751814.250 * * [misc]simplify: iters left: 3 (164 enodes) 1543751814.360 * * [misc]simplify: iters left: 2 (488 enodes) 1543751815.005 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1543751815.005 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1543751815.005 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1543751815.006 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751815.008 * * [misc]simplify: iters left: 6 (14 enodes) 1543751815.014 * * [misc]simplify: iters left: 5 (24 enodes) 1543751815.026 * * [misc]simplify: iters left: 4 (46 enodes) 1543751815.050 * * [misc]simplify: iters left: 3 (103 enodes) 1543751815.133 * * [misc]simplify: iters left: 2 (336 enodes) 1543751815.568 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1543751815.569 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1543751815.569 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1543751815.569 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1543751815.569 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1543751815.569 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751815.571 * * [misc]simplify: iters left: 6 (16 enodes) 1543751815.579 * * [misc]simplify: iters left: 5 (31 enodes) 1543751815.596 * * [misc]simplify: iters left: 4 (70 enodes) 1543751815.630 * * [misc]simplify: iters left: 3 (130 enodes) 1543751815.692 * * [misc]simplify: iters left: 2 (206 enodes) 1543751815.805 * * [misc]simplify: iters left: 1 (288 enodes) 1543751815.947 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1543751815.947 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1543751815.947 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1543751815.947 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1543751815.947 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1543751815.947 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1543751815.947 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1543751815.947 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1543751815.949 * * [misc]simplify: iters left: 6 (12 enodes) 1543751815.954 * * [misc]simplify: iters left: 5 (19 enodes) 1543751815.960 * * [misc]simplify: iters left: 4 (27 enodes) 1543751815.966 * * [misc]simplify: iters left: 3 (29 enodes) 1543751815.971 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1543751815.971 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1543751815.971 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751815.971 * * [misc]simplify: iters left: 6 (12 enodes) 1543751815.974 * * [misc]simplify: iters left: 5 (18 enodes) 1543751815.977 * * [misc]simplify: iters left: 4 (24 enodes) 1543751815.981 * * [misc]simplify: iters left: 3 (25 enodes) 1543751815.985 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751815.985 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1543751815.985 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1543751815.985 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1543751815.986 * * [misc]simplify: iters left: 6 (12 enodes) 1543751815.988 * * [misc]simplify: iters left: 5 (19 enodes) 1543751815.992 * * [misc]simplify: iters left: 4 (27 enodes) 1543751816.002 * * [misc]simplify: iters left: 3 (29 enodes) 1543751816.012 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1543751816.012 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1543751816.012 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.013 * * [misc]simplify: iters left: 6 (12 enodes) 1543751816.019 * * [misc]simplify: iters left: 5 (18 enodes) 1543751816.025 * * [misc]simplify: iters left: 4 (24 enodes) 1543751816.033 * * [misc]simplify: iters left: 3 (25 enodes) 1543751816.041 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751816.041 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1543751816.042 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1543751816.042 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1543751816.043 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.047 * * [misc]simplify: iters left: 5 (15 enodes) 1543751816.053 * * [misc]simplify: iters left: 4 (20 enodes) 1543751816.061 * * [misc]simplify: iters left: 3 (21 enodes) 1543751816.068 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1543751816.068 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751816.069 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.070 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.074 * * [misc]simplify: iters left: 5 (14 enodes) 1543751816.079 * * [misc]simplify: iters left: 4 (17 enodes) 1543751816.084 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.085 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751816.085 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1543751816.085 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1543751816.087 * * [misc]simplify: iters left: 6 (16 enodes) 1543751816.094 * * [misc]simplify: iters left: 5 (28 enodes) 1543751816.107 * * [misc]simplify: iters left: 4 (46 enodes) 1543751816.114 * * [misc]simplify: iters left: 3 (50 enodes) 1543751816.121 * * [misc]simplify: iters left: 2 (53 enodes) 1543751816.131 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1543751816.131 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1543751816.131 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.132 * * [misc]simplify: iters left: 6 (14 enodes) 1543751816.135 * * [misc]simplify: iters left: 5 (20 enodes) 1543751816.139 * * [misc]simplify: iters left: 4 (29 enodes) 1543751816.147 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.157 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751816.158 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1543751816.158 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1543751816.160 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.161 * * [misc]simplify: iters left: 6 (15 enodes) 1543751816.166 * * [misc]simplify: iters left: 5 (23 enodes) 1543751816.170 * * [misc]simplify: iters left: 4 (34 enodes) 1543751816.175 * * [misc]simplify: iters left: 3 (36 enodes) 1543751816.181 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751816.181 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1543751816.182 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.182 * * [misc]simplify: iters left: 6 (14 enodes) 1543751816.185 * * [misc]simplify: iters left: 5 (20 enodes) 1543751816.189 * * [misc]simplify: iters left: 4 (29 enodes) 1543751816.195 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.206 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751816.206 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1543751816.206 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1543751816.206 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1543751816.207 * * [misc]simplify: iters left: 6 (6 enodes) 1543751816.210 * * [misc]simplify: iters left: 5 (10 enodes) 1543751816.214 * * [misc]simplify: iters left: 4 (16 enodes) 1543751816.219 * * [misc]simplify: iters left: 3 (18 enodes) 1543751816.224 * * [misc]simplify: iters left: 2 (23 enodes) 1543751816.230 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1543751816.231 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1543751816.231 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751816.232 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.237 * * [misc]simplify: iters left: 5 (19 enodes) 1543751816.245 * * [misc]simplify: iters left: 4 (28 enodes) 1543751816.254 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.264 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1543751816.264 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1543751816.264 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1543751816.265 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1543751816.267 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.272 * * [misc]simplify: iters left: 5 (16 enodes) 1543751816.278 * * [misc]simplify: iters left: 4 (22 enodes) 1543751816.285 * * [misc]simplify: iters left: 3 (23 enodes) 1543751816.293 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1543751816.293 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1543751816.293 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.295 * * [misc]simplify: iters left: 6 (12 enodes) 1543751816.300 * * [misc]simplify: iters left: 5 (18 enodes) 1543751816.306 * * [misc]simplify: iters left: 4 (24 enodes) 1543751816.314 * * [misc]simplify: iters left: 3 (25 enodes) 1543751816.322 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751816.322 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1543751816.322 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1543751816.323 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1543751816.324 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.328 * * [misc]simplify: iters left: 5 (16 enodes) 1543751816.334 * * [misc]simplify: iters left: 4 (22 enodes) 1543751816.341 * * [misc]simplify: iters left: 3 (23 enodes) 1543751816.348 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1543751816.348 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1543751816.349 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.350 * * [misc]simplify: iters left: 6 (12 enodes) 1543751816.353 * * [misc]simplify: iters left: 5 (18 enodes) 1543751816.356 * * [misc]simplify: iters left: 4 (24 enodes) 1543751816.360 * * [misc]simplify: iters left: 3 (25 enodes) 1543751816.364 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751816.364 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1543751816.364 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1543751816.364 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1543751816.365 * * [misc]simplify: iters left: 6 (10 enodes) 1543751816.366 * * [misc]simplify: iters left: 5 (12 enodes) 1543751816.368 * * [misc]simplify: iters left: 4 (15 enodes) 1543751816.371 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1543751816.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751816.371 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.373 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.375 * * [misc]simplify: iters left: 5 (14 enodes) 1543751816.377 * * [misc]simplify: iters left: 4 (17 enodes) 1543751816.381 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.381 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751816.381 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1543751816.382 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1543751816.383 * * [misc]simplify: iters left: 6 (15 enodes) 1543751816.389 * * [misc]simplify: iters left: 5 (23 enodes) 1543751816.399 * * [misc]simplify: iters left: 4 (32 enodes) 1543751816.409 * * [misc]simplify: iters left: 3 (34 enodes) 1543751816.421 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1543751816.421 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1543751816.421 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.423 * * [misc]simplify: iters left: 6 (14 enodes) 1543751816.428 * * [misc]simplify: iters left: 5 (20 enodes) 1543751816.434 * * [misc]simplify: iters left: 4 (29 enodes) 1543751816.438 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.444 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751816.444 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1543751816.444 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1543751816.444 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.445 * * [misc]simplify: iters left: 6 (14 enodes) 1543751816.448 * * [misc]simplify: iters left: 5 (20 enodes) 1543751816.452 * * [misc]simplify: iters left: 4 (29 enodes) 1543751816.456 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.461 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751816.461 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1543751816.461 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.462 * * [misc]simplify: iters left: 6 (14 enodes) 1543751816.466 * * [misc]simplify: iters left: 5 (20 enodes) 1543751816.473 * * [misc]simplify: iters left: 4 (29 enodes) 1543751816.482 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.492 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751816.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1543751816.492 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1543751816.493 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1543751816.493 * * [misc]simplify: iters left: 4 (5 enodes) 1543751816.495 * * [misc]simplify: iters left: 3 (7 enodes) 1543751816.498 * * [misc]simplify: iters left: 2 (9 enodes) 1543751816.500 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1543751816.500 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1543751816.500 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751816.502 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.507 * * [misc]simplify: iters left: 5 (19 enodes) 1543751816.514 * * [misc]simplify: iters left: 4 (28 enodes) 1543751816.523 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.533 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1543751816.533 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1543751816.533 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1543751816.533 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1543751816.534 * * [misc]simplify: iters left: 6 (9 enodes) 1543751816.538 * * [misc]simplify: iters left: 5 (16 enodes) 1543751816.544 * * [misc]simplify: iters left: 4 (22 enodes) 1543751816.550 * * [misc]simplify: iters left: 3 (23 enodes) 1543751816.557 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1543751816.557 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1543751816.557 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.558 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.560 * * [misc]simplify: iters left: 5 (17 enodes) 1543751816.563 * * [misc]simplify: iters left: 4 (23 enodes) 1543751816.567 * * [misc]simplify: iters left: 3 (24 enodes) 1543751816.571 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1543751816.571 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1543751816.571 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1543751816.571 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1543751816.571 * * [misc]simplify: iters left: 6 (9 enodes) 1543751816.573 * * [misc]simplify: iters left: 5 (16 enodes) 1543751816.578 * * [misc]simplify: iters left: 4 (22 enodes) 1543751816.581 * * [misc]simplify: iters left: 3 (23 enodes) 1543751816.586 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1543751816.586 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1543751816.586 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.587 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.592 * * [misc]simplify: iters left: 5 (17 enodes) 1543751816.598 * * [misc]simplify: iters left: 4 (23 enodes) 1543751816.606 * * [misc]simplify: iters left: 3 (24 enodes) 1543751816.614 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1543751816.614 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1543751816.614 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1543751816.615 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1543751816.615 * * [misc]simplify: iters left: 6 (9 enodes) 1543751816.619 * * [misc]simplify: iters left: 5 (13 enodes) 1543751816.623 * * [misc]simplify: iters left: 4 (16 enodes) 1543751816.628 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1543751816.628 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751816.628 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.629 * * [misc]simplify: iters left: 6 (10 enodes) 1543751816.633 * * [misc]simplify: iters left: 5 (13 enodes) 1543751816.637 * * [misc]simplify: iters left: 4 (16 enodes) 1543751816.643 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.643 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751816.643 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1543751816.643 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1543751816.644 * * [misc]simplify: iters left: 6 (14 enodes) 1543751816.651 * * [misc]simplify: iters left: 5 (24 enodes) 1543751816.660 * * [misc]simplify: iters left: 4 (33 enodes) 1543751816.667 * * [misc]simplify: iters left: 3 (34 enodes) 1543751816.672 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1543751816.672 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (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)))))))) 1543751816.673 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.673 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.676 * * [misc]simplify: iters left: 5 (19 enodes) 1543751816.680 * * [misc]simplify: iters left: 4 (28 enodes) 1543751816.685 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.690 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1543751816.691 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1543751816.691 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1543751816.691 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.691 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.694 * * [misc]simplify: iters left: 5 (21 enodes) 1543751816.701 * * [misc]simplify: iters left: 4 (30 enodes) 1543751816.710 * * [misc]simplify: iters left: 3 (31 enodes) 1543751816.720 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1543751816.720 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1543751816.720 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.721 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.726 * * [misc]simplify: iters left: 5 (19 enodes) 1543751816.734 * * [misc]simplify: iters left: 4 (28 enodes) 1543751816.743 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.753 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1543751816.753 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1543751816.753 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1543751816.753 * [enter]simplify: Simplifying (/ 1 1) 1543751816.753 * * [misc]simplify: iters left: 2 (2 enodes) 1543751816.754 * * [misc]simplify: iters left: 1 (4 enodes) 1543751816.755 * [exit]simplify: Simplified to 1 1543751816.755 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1543751816.755 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751816.756 * * [misc]simplify: iters left: 6 (12 enodes) 1543751816.760 * * [misc]simplify: iters left: 5 (18 enodes) 1543751816.765 * * [misc]simplify: iters left: 4 (27 enodes) 1543751816.769 * * [misc]simplify: iters left: 3 (29 enodes) 1543751816.773 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751816.773 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1543751816.773 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1543751816.774 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1543751816.774 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1543751816.774 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1543751816.774 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1543751816.774 * * [misc]simplify: iters left: 5 (9 enodes) 1543751816.776 * * [misc]simplify: iters left: 4 (15 enodes) 1543751816.779 * * [misc]simplify: iters left: 3 (21 enodes) 1543751816.784 * * [misc]simplify: iters left: 2 (22 enodes) 1543751816.787 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1543751816.787 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1543751816.787 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1543751816.788 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1543751816.788 * * [misc]simplify: iters left: 5 (9 enodes) 1543751816.790 * * [misc]simplify: iters left: 4 (15 enodes) 1543751816.793 * * [misc]simplify: iters left: 3 (21 enodes) 1543751816.797 * * [misc]simplify: iters left: 2 (22 enodes) 1543751816.804 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1543751816.805 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1543751816.805 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1543751816.805 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1543751816.806 * * [misc]simplify: iters left: 5 (8 enodes) 1543751816.809 * * [misc]simplify: iters left: 4 (11 enodes) 1543751816.813 * * [misc]simplify: iters left: 3 (14 enodes) 1543751816.817 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1543751816.818 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751816.818 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1543751816.818 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751816.819 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.824 * * [misc]simplify: iters left: 5 (17 enodes) 1543751816.830 * * [misc]simplify: iters left: 4 (26 enodes) 1543751816.838 * * [misc]simplify: iters left: 3 (27 enodes) 1543751816.847 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1543751816.848 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1543751816.848 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1543751816.848 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751816.849 * * [misc]simplify: iters left: 6 (11 enodes) 1543751816.852 * * [misc]simplify: iters left: 5 (17 enodes) 1543751816.856 * * [misc]simplify: iters left: 4 (26 enodes) 1543751816.860 * * [misc]simplify: iters left: 3 (27 enodes) 1543751816.865 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1543751816.865 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1543751816.865 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1543751816.865 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1543751816.866 * * [misc]simplify: iters left: 5 (10 enodes) 1543751816.868 * * [misc]simplify: iters left: 4 (16 enodes) 1543751816.871 * * [misc]simplify: iters left: 3 (25 enodes) 1543751816.875 * * [misc]simplify: iters left: 2 (26 enodes) 1543751816.881 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1543751816.881 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1543751816.881 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1543751816.881 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1543751816.881 * * [misc]simplify: iters left: 4 (4 enodes) 1543751816.882 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1543751816.882 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1543751816.882 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1543751816.882 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1543751816.882 * * [misc]simplify: iters left: 2 (3 enodes) 1543751816.883 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1543751816.883 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1543751816.883 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1543751816.883 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1543751816.883 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1543751816.883 * * [misc]simplify: iters left: 5 (8 enodes) 1543751816.885 * * [misc]simplify: iters left: 4 (12 enodes) 1543751816.888 * * [misc]simplify: iters left: 3 (18 enodes) 1543751816.891 * * [misc]simplify: iters left: 2 (20 enodes) 1543751816.894 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1543751816.894 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1543751816.894 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1543751816.894 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1543751816.894 * [enter]simplify: Simplifying (- 1) 1543751816.895 * * [misc]simplify: iters left: 2 (2 enodes) 1543751816.896 * * [misc]simplify: iters left: 1 (5 enodes) 1543751816.896 * [exit]simplify: Simplified to -1 1543751816.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1543751816.896 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1543751816.896 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1543751816.896 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1543751816.896 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1543751816.896 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1543751816.896 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1543751816.896 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1543751816.897 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1543751816.897 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.898 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.900 * * [misc]simplify: iters left: 5 (19 enodes) 1543751816.904 * * [misc]simplify: iters left: 4 (28 enodes) 1543751816.908 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.913 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1543751816.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1543751816.913 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1543751816.914 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751816.914 * * [misc]simplify: iters left: 6 (13 enodes) 1543751816.917 * * [misc]simplify: iters left: 5 (19 enodes) 1543751816.921 * * [misc]simplify: iters left: 4 (28 enodes) 1543751816.925 * * [misc]simplify: iters left: 3 (30 enodes) 1543751816.934 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1543751816.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1543751816.934 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1543751816.934 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.935 * * [misc]simplify: iters left: 6 (12 enodes) 1543751816.940 * * [misc]simplify: iters left: 5 (18 enodes) 1543751816.947 * * [misc]simplify: iters left: 4 (24 enodes) 1543751816.955 * * [misc]simplify: iters left: 3 (25 enodes) 1543751816.963 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751816.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1543751816.963 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1543751816.966 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751816.967 * * [misc]simplify: iters left: 6 (12 enodes) 1543751816.972 * * [misc]simplify: iters left: 5 (18 enodes) 1543751816.979 * * [misc]simplify: iters left: 4 (24 enodes) 1543751816.986 * * [misc]simplify: iters left: 3 (25 enodes) 1543751816.995 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751816.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1543751816.995 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1543751816.995 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751816.997 * * [misc]simplify: iters left: 6 (11 enodes) 1543751817.001 * * [misc]simplify: iters left: 5 (14 enodes) 1543751817.005 * * [misc]simplify: iters left: 4 (17 enodes) 1543751817.011 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751817.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751817.011 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1543751817.012 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751817.013 * * [misc]simplify: iters left: 6 (14 enodes) 1543751817.018 * * [misc]simplify: iters left: 5 (20 enodes) 1543751817.026 * * [misc]simplify: iters left: 4 (29 enodes) 1543751817.034 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.045 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751817.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1543751817.045 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1543751817.045 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751817.047 * * [misc]simplify: iters left: 6 (14 enodes) 1543751817.052 * * [misc]simplify: iters left: 5 (20 enodes) 1543751817.060 * * [misc]simplify: iters left: 4 (29 enodes) 1543751817.069 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.079 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751817.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1543751817.079 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1543751817.079 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.080 * * [misc]simplify: iters left: 6 (13 enodes) 1543751817.086 * * [misc]simplify: iters left: 5 (19 enodes) 1543751817.096 * * [misc]simplify: iters left: 4 (28 enodes) 1543751817.105 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.115 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1543751817.115 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1543751817.115 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1543751817.115 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751817.116 * * [misc]simplify: iters left: 6 (12 enodes) 1543751817.121 * * [misc]simplify: iters left: 5 (18 enodes) 1543751817.128 * * [misc]simplify: iters left: 4 (24 enodes) 1543751817.136 * * [misc]simplify: iters left: 3 (25 enodes) 1543751817.145 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751817.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1543751817.145 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1543751817.145 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751817.147 * * [misc]simplify: iters left: 6 (12 enodes) 1543751817.152 * * [misc]simplify: iters left: 5 (18 enodes) 1543751817.159 * * [misc]simplify: iters left: 4 (24 enodes) 1543751817.166 * * [misc]simplify: iters left: 3 (25 enodes) 1543751817.175 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1543751817.175 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1543751817.176 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1543751817.176 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751817.177 * * [misc]simplify: iters left: 6 (11 enodes) 1543751817.181 * * [misc]simplify: iters left: 5 (14 enodes) 1543751817.186 * * [misc]simplify: iters left: 4 (17 enodes) 1543751817.191 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751817.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751817.192 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1543751817.192 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751817.193 * * [misc]simplify: iters left: 6 (14 enodes) 1543751817.199 * * [misc]simplify: iters left: 5 (20 enodes) 1543751817.207 * * [misc]simplify: iters left: 4 (29 enodes) 1543751817.216 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.228 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751817.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1543751817.228 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1543751817.228 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751817.229 * * [misc]simplify: iters left: 6 (14 enodes) 1543751817.235 * * [misc]simplify: iters left: 5 (20 enodes) 1543751817.243 * * [misc]simplify: iters left: 4 (29 enodes) 1543751817.253 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.263 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1543751817.263 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1543751817.263 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1543751817.263 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.265 * * [misc]simplify: iters left: 6 (13 enodes) 1543751817.270 * * [misc]simplify: iters left: 5 (19 enodes) 1543751817.278 * * [misc]simplify: iters left: 4 (28 enodes) 1543751817.287 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.297 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1543751817.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1543751817.297 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1543751817.297 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751817.298 * * [misc]simplify: iters left: 6 (11 enodes) 1543751817.303 * * [misc]simplify: iters left: 5 (17 enodes) 1543751817.310 * * [misc]simplify: iters left: 4 (23 enodes) 1543751817.318 * * [misc]simplify: iters left: 3 (24 enodes) 1543751817.326 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1543751817.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1543751817.326 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1543751817.326 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1543751817.327 * * [misc]simplify: iters left: 6 (11 enodes) 1543751817.332 * * [misc]simplify: iters left: 5 (17 enodes) 1543751817.338 * * [misc]simplify: iters left: 4 (23 enodes) 1543751817.345 * * [misc]simplify: iters left: 3 (24 enodes) 1543751817.353 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1543751817.354 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1543751817.354 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1543751817.354 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751817.355 * * [misc]simplify: iters left: 6 (10 enodes) 1543751817.361 * * [misc]simplify: iters left: 5 (13 enodes) 1543751817.365 * * [misc]simplify: iters left: 4 (16 enodes) 1543751817.370 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751817.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751817.371 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1543751817.371 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751817.372 * * [misc]simplify: iters left: 6 (13 enodes) 1543751817.377 * * [misc]simplify: iters left: 5 (19 enodes) 1543751817.385 * * [misc]simplify: iters left: 4 (28 enodes) 1543751817.393 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.404 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1543751817.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1543751817.404 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1543751817.404 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1543751817.405 * * [misc]simplify: iters left: 6 (13 enodes) 1543751817.411 * * [misc]simplify: iters left: 5 (19 enodes) 1543751817.419 * * [misc]simplify: iters left: 4 (28 enodes) 1543751817.428 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.438 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1543751817.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1543751817.438 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1543751817.438 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.439 * * [misc]simplify: iters left: 6 (12 enodes) 1543751817.445 * * [misc]simplify: iters left: 5 (18 enodes) 1543751817.452 * * [misc]simplify: iters left: 4 (27 enodes) 1543751817.456 * * [misc]simplify: iters left: 3 (29 enodes) 1543751817.460 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1543751817.460 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1543751817.461 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.461 * * [misc]simplify: iters left: 6 (12 enodes) 1543751817.464 * * [misc]simplify: iters left: 5 (18 enodes) 1543751817.467 * * [misc]simplify: iters left: 4 (27 enodes) 1543751817.473 * * [misc]simplify: iters left: 3 (29 enodes) 1543751817.478 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1543751817.478 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1543751817.478 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1543751817.478 * * [misc]simplify: iters left: 6 (12 enodes) 1543751817.483 * * [misc]simplify: iters left: 5 (20 enodes) 1543751817.491 * * [misc]simplify: iters left: 4 (29 enodes) 1543751817.499 * * [misc]simplify: iters left: 3 (30 enodes) 1543751817.508 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1543751817.508 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1543751817.508 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1543751817.508 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1543751817.509 * * [misc]simplify: iters left: 5 (8 enodes) 1543751817.511 * * [misc]simplify: iters left: 4 (12 enodes) 1543751817.513 * * [misc]simplify: iters left: 3 (18 enodes) 1543751817.516 * * [misc]simplify: iters left: 2 (20 enodes) 1543751817.519 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1543751817.519 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1543751817.519 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1543751817.520 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1543751817.520 * * [misc]simplify: iters left: 5 (10 enodes) 1543751817.522 * * [misc]simplify: iters left: 4 (16 enodes) 1543751817.526 * * [misc]simplify: iters left: 3 (25 enodes) 1543751817.530 * * [misc]simplify: iters left: 2 (26 enodes) 1543751817.534 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1543751817.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1543751817.534 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1543751817.534 * [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))))) 1543751817.538 * * [misc]simplify: iters left: 6 (37 enodes) 1543751817.563 * * [misc]simplify: iters left: 5 (105 enodes) 1543751817.644 * * [misc]simplify: iters left: 4 (339 enodes) 1543751818.201 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1543751818.201 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))))) 1543751818.201 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1543751818.201 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1543751818.203 * * [misc]simplify: iters left: 6 (15 enodes) 1543751818.212 * * [misc]simplify: iters left: 5 (33 enodes) 1543751818.228 * * [misc]simplify: iters left: 4 (64 enodes) 1543751818.262 * * [misc]simplify: iters left: 3 (171 enodes) 1543751818.452 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1543751818.452 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1543751818.452 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1543751818.453 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1543751818.454 * * [misc]simplify: iters left: 6 (15 enodes) 1543751818.460 * * [misc]simplify: iters left: 5 (30 enodes) 1543751818.469 * * [misc]simplify: iters left: 4 (65 enodes) 1543751818.494 * * [misc]simplify: iters left: 3 (200 enodes) 1543751818.744 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1543751818.744 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1543751818.744 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1543751818.744 * [enter]simplify: Simplifying (* 2 (* n PI)) 1543751818.745 * * [misc]simplify: iters left: 4 (5 enodes) 1543751818.746 * * [misc]simplify: iters left: 3 (9 enodes) 1543751818.748 * * [misc]simplify: iters left: 2 (15 enodes) 1543751818.750 * * [misc]simplify: iters left: 1 (17 enodes) 1543751818.753 * [exit]simplify: Simplified to (* (* PI n) 2) 1543751818.753 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1543751818.753 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1543751818.753 * [enter]simplify: Simplifying (* 2 (* n PI)) 1543751818.753 * * [misc]simplify: iters left: 4 (5 enodes) 1543751818.755 * * [misc]simplify: iters left: 3 (9 enodes) 1543751818.757 * * [misc]simplify: iters left: 2 (15 enodes) 1543751818.759 * * [misc]simplify: iters left: 1 (17 enodes) 1543751818.762 * [exit]simplify: Simplified to (* (* PI n) 2) 1543751818.762 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1543751818.762 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1543751818.762 * [enter]simplify: Simplifying (* 2 (* n PI)) 1543751818.762 * * [misc]simplify: iters left: 4 (5 enodes) 1543751818.763 * * [misc]simplify: iters left: 3 (9 enodes) 1543751818.765 * * [misc]simplify: iters left: 2 (15 enodes) 1543751818.768 * * [misc]simplify: iters left: 1 (17 enodes) 1543751818.770 * [exit]simplify: Simplified to (* (* PI n) 2) 1543751818.770 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1543751818.770 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1543751818.771 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1543751818.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1543751818.771 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1543751818.771 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1543751818.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1543751818.771 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1543751818.771 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1543751818.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1543751818.771 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1543751818.771 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1543751818.771 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751818.771 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1543751818.771 * [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)))))))) 1543751818.772 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751818.772 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1543751818.772 * [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))))))))))) 1543751818.772 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751818.772 * * * [misc]progress: adding candidates to table 1543751821.469 * * [misc]progress: iteration 3 / 4 1543751821.469 * * * [misc]progress: picking best candidate 1543751821.544 * * * * [misc]pick: Picked # 1543751821.544 * * * [misc]progress: localizing error 1543751821.581 * * * [misc]progress: generating rewritten candidates 1543751821.581 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1543751821.598 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1543751821.621 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1543751821.699 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1543751821.727 * * * [misc]progress: generating series expansions 1543751821.728 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1543751821.728 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1543751821.728 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1543751821.728 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751821.728 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751821.728 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751821.728 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.728 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.728 * [misc]taylor: Taking taylor expansion of k in k 1543751821.728 * [misc]backup-simplify: Simplify 0 into 0 1543751821.728 * [misc]backup-simplify: Simplify 1 into 1 1543751821.728 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.728 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.728 * [misc]backup-simplify: Simplify PI into PI 1543751821.729 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.729 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.729 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.729 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.729 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751821.730 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751821.730 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751821.730 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751821.730 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751821.730 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.730 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.730 * [misc]taylor: Taking taylor expansion of k in k 1543751821.730 * [misc]backup-simplify: Simplify 0 into 0 1543751821.730 * [misc]backup-simplify: Simplify 1 into 1 1543751821.730 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.730 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.730 * [misc]backup-simplify: Simplify PI into PI 1543751821.730 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.730 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.730 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.730 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.731 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751821.731 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751821.732 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1543751821.733 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751821.733 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751821.734 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.734 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1543751821.737 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1543751821.738 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1543751821.740 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1543751821.741 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751821.741 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.742 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1543751821.745 * [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))) 1543751821.750 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1543751821.753 * [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)))) 1543751821.753 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751821.754 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1543751821.754 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of k in k 1543751821.754 * [misc]backup-simplify: Simplify 0 into 0 1543751821.754 * [misc]backup-simplify: Simplify 1 into 1 1543751821.754 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.754 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.754 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.754 * [misc]backup-simplify: Simplify PI into PI 1543751821.754 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.754 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.755 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.755 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.755 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751821.755 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751821.755 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751821.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751821.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751821.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751821.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.755 * [misc]taylor: Taking taylor expansion of k in k 1543751821.755 * [misc]backup-simplify: Simplify 0 into 0 1543751821.755 * [misc]backup-simplify: Simplify 1 into 1 1543751821.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.756 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.756 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.756 * [misc]backup-simplify: Simplify PI into PI 1543751821.756 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.756 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.756 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.756 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.757 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751821.757 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751821.757 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751821.757 * [misc]backup-simplify: Simplify 0 into 0 1543751821.757 * [misc]backup-simplify: Simplify 0 into 0 1543751821.757 * [misc]backup-simplify: Simplify 0 into 0 1543751821.757 * [misc]backup-simplify: Simplify 0 into 0 1543751821.757 * [misc]backup-simplify: Simplify 0 into 0 1543751821.757 * [misc]backup-simplify: Simplify 0 into 0 1543751821.757 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1543751821.757 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751821.757 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1543751821.757 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751821.757 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751821.757 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751821.758 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751821.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.758 * [misc]taylor: Taking taylor expansion of k in k 1543751821.758 * [misc]backup-simplify: Simplify 0 into 0 1543751821.758 * [misc]backup-simplify: Simplify 1 into 1 1543751821.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.758 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.758 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.758 * [misc]backup-simplify: Simplify PI into PI 1543751821.758 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.758 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.758 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.759 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751821.759 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751821.759 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of k in k 1543751821.759 * [misc]backup-simplify: Simplify 0 into 0 1543751821.759 * [misc]backup-simplify: Simplify 1 into 1 1543751821.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.759 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.759 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.759 * [misc]backup-simplify: Simplify PI into PI 1543751821.759 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.760 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.760 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.760 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751821.760 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751821.760 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751821.760 * [misc]backup-simplify: Simplify 0 into 0 1543751821.760 * [misc]backup-simplify: Simplify 0 into 0 1543751821.760 * [misc]backup-simplify: Simplify 0 into 0 1543751821.760 * [misc]backup-simplify: Simplify 0 into 0 1543751821.761 * [misc]backup-simplify: Simplify 0 into 0 1543751821.761 * [misc]backup-simplify: Simplify 0 into 0 1543751821.761 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1543751821.761 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1543751821.761 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1543751821.761 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1543751821.761 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.761 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.761 * [misc]taylor: Taking taylor expansion of k in k 1543751821.761 * [misc]backup-simplify: Simplify 0 into 0 1543751821.761 * [misc]backup-simplify: Simplify 1 into 1 1543751821.761 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1543751821.761 * [misc]taylor: Taking taylor expansion of 2 in k 1543751821.761 * [misc]backup-simplify: Simplify 2 into 2 1543751821.761 * [misc]taylor: Taking taylor expansion of n in k 1543751821.761 * [misc]backup-simplify: Simplify n into n 1543751821.761 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1543751821.761 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1543751821.762 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.762 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.762 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.762 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1543751821.762 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1543751821.762 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.762 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.762 * [misc]taylor: Taking taylor expansion of k in n 1543751821.762 * [misc]backup-simplify: Simplify k into k 1543751821.762 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.762 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.762 * [misc]backup-simplify: Simplify 2 into 2 1543751821.762 * [misc]taylor: Taking taylor expansion of n in n 1543751821.762 * [misc]backup-simplify: Simplify 0 into 0 1543751821.762 * [misc]backup-simplify: Simplify 1 into 1 1543751821.762 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.762 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.763 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.763 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751821.763 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751821.763 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751821.763 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.763 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1543751821.763 * [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)))) 1543751821.763 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1543751821.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1543751821.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1543751821.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751821.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.764 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751821.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.764 * [misc]taylor: Taking taylor expansion of k in n 1543751821.764 * [misc]backup-simplify: Simplify k into k 1543751821.764 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.764 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.764 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.764 * [misc]backup-simplify: Simplify 2 into 2 1543751821.764 * [misc]taylor: Taking taylor expansion of n in n 1543751821.764 * [misc]backup-simplify: Simplify 0 into 0 1543751821.764 * [misc]backup-simplify: Simplify 1 into 1 1543751821.764 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.764 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.764 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.764 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751821.764 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751821.764 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751821.765 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.765 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1543751821.765 * [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)))) 1543751821.765 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1543751821.765 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1543751821.766 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1543751821.766 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751821.766 * [misc]taylor: Taking taylor expansion of 2 in k 1543751821.766 * [misc]backup-simplify: Simplify 2 into 2 1543751821.766 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.766 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751821.766 * [misc]taylor: Taking taylor expansion of n in k 1543751821.766 * [misc]backup-simplify: Simplify n into n 1543751821.766 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751821.766 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.766 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.766 * [misc]taylor: Taking taylor expansion of k in k 1543751821.766 * [misc]backup-simplify: Simplify 0 into 0 1543751821.766 * [misc]backup-simplify: Simplify 1 into 1 1543751821.766 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1543751821.766 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.767 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.767 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.767 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1543751821.767 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1543751821.767 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1543751821.768 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1543751821.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751821.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751821.770 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.771 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1543751821.772 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751821.772 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.772 * [misc]backup-simplify: Simplify 0 into 0 1543751821.772 * [misc]backup-simplify: Simplify 0 into 0 1543751821.773 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751821.773 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.773 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.775 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751821.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751821.776 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.777 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1543751821.777 * [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))))) 1543751821.778 * [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))))) 1543751821.778 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751821.782 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751821.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751821.783 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.784 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.784 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1543751821.786 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751821.786 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.786 * [misc]backup-simplify: Simplify 0 into 0 1543751821.786 * [misc]backup-simplify: Simplify 0 into 0 1543751821.786 * [misc]backup-simplify: Simplify 0 into 0 1543751821.787 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751821.787 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.791 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751821.793 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751821.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.793 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1543751821.796 * [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))))) 1543751821.799 * [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))))) 1543751821.804 * [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))))) 1543751821.804 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751821.804 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1543751821.804 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751821.804 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1543751821.804 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1543751821.804 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751821.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.805 * [misc]taylor: Taking taylor expansion of k in k 1543751821.805 * [misc]backup-simplify: Simplify 0 into 0 1543751821.805 * [misc]backup-simplify: Simplify 1 into 1 1543751821.805 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.805 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1543751821.805 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1543751821.805 * [misc]taylor: Taking taylor expansion of 2 in k 1543751821.805 * [misc]backup-simplify: Simplify 2 into 2 1543751821.805 * [misc]taylor: Taking taylor expansion of n in k 1543751821.805 * [misc]backup-simplify: Simplify n into n 1543751821.805 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1543751821.805 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1543751821.805 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.806 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.806 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.806 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1543751821.806 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751821.806 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of k in n 1543751821.806 * [misc]backup-simplify: Simplify k into k 1543751821.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751821.806 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751821.806 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.807 * [misc]backup-simplify: Simplify 2 into 2 1543751821.807 * [misc]taylor: Taking taylor expansion of n in n 1543751821.807 * [misc]backup-simplify: Simplify 0 into 0 1543751821.807 * [misc]backup-simplify: Simplify 1 into 1 1543751821.807 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751821.807 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751821.807 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751821.807 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751821.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751821.808 * [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))) 1543751821.808 * [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)))) 1543751821.808 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751821.808 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751821.808 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751821.808 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751821.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751821.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751821.809 * [misc]taylor: Taking taylor expansion of k in n 1543751821.809 * [misc]backup-simplify: Simplify k into k 1543751821.809 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751821.809 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751821.809 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751821.809 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.809 * [misc]backup-simplify: Simplify 2 into 2 1543751821.809 * [misc]taylor: Taking taylor expansion of n in n 1543751821.809 * [misc]backup-simplify: Simplify 0 into 0 1543751821.809 * [misc]backup-simplify: Simplify 1 into 1 1543751821.809 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751821.809 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.809 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751821.809 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751821.809 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751821.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751821.810 * [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))) 1543751821.810 * [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)))) 1543751821.811 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of k in k 1543751821.811 * [misc]backup-simplify: Simplify 0 into 0 1543751821.811 * [misc]backup-simplify: Simplify 1 into 1 1543751821.811 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.811 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of 2 in k 1543751821.811 * [misc]backup-simplify: Simplify 2 into 2 1543751821.811 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.811 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751821.811 * [misc]taylor: Taking taylor expansion of n in k 1543751821.811 * [misc]backup-simplify: Simplify n into n 1543751821.812 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751821.812 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.812 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.812 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.812 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751821.812 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1543751821.812 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1543751821.813 * [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)))) 1543751821.813 * [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)))) 1543751821.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1543751821.816 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751821.816 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751821.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751821.817 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.817 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751821.817 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1543751821.819 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751821.819 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.819 * [misc]backup-simplify: Simplify 0 into 0 1543751821.819 * [misc]backup-simplify: Simplify 0 into 0 1543751821.819 * [misc]backup-simplify: Simplify 0 into 0 1543751821.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751821.822 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751821.822 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751821.822 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751821.822 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.822 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.823 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751821.823 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1543751821.824 * [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 1543751821.824 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.824 * [misc]backup-simplify: Simplify 0 into 0 1543751821.824 * [misc]backup-simplify: Simplify 0 into 0 1543751821.824 * [misc]backup-simplify: Simplify 0 into 0 1543751821.824 * [misc]backup-simplify: Simplify 0 into 0 1543751821.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751821.829 * [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 1543751821.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751821.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751821.829 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.830 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751821.830 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1543751821.832 * [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 1543751821.832 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.832 * [misc]backup-simplify: Simplify 0 into 0 1543751821.832 * [misc]backup-simplify: Simplify 0 into 0 1543751821.833 * [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)))) 1543751821.833 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751821.833 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1543751821.833 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of k in k 1543751821.833 * [misc]backup-simplify: Simplify 0 into 0 1543751821.833 * [misc]backup-simplify: Simplify 1 into 1 1543751821.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.833 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1543751821.833 * [misc]taylor: Taking taylor expansion of -2 in k 1543751821.833 * [misc]backup-simplify: Simplify -2 into -2 1543751821.833 * [misc]taylor: Taking taylor expansion of n in k 1543751821.833 * [misc]backup-simplify: Simplify n into n 1543751821.833 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1543751821.833 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1543751821.833 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.834 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.834 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1543751821.834 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751821.834 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of k in n 1543751821.834 * [misc]backup-simplify: Simplify k into k 1543751821.834 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751821.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.834 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751821.834 * [misc]taylor: Taking taylor expansion of -2 in n 1543751821.834 * [misc]backup-simplify: Simplify -2 into -2 1543751821.834 * [misc]taylor: Taking taylor expansion of n in n 1543751821.834 * [misc]backup-simplify: Simplify 0 into 0 1543751821.834 * [misc]backup-simplify: Simplify 1 into 1 1543751821.834 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751821.834 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751821.834 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751821.834 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751821.835 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751821.835 * [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))) 1543751821.835 * [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)))) 1543751821.835 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of k in n 1543751821.835 * [misc]backup-simplify: Simplify k into k 1543751821.835 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751821.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.835 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751821.835 * [misc]taylor: Taking taylor expansion of -2 in n 1543751821.835 * [misc]backup-simplify: Simplify -2 into -2 1543751821.835 * [misc]taylor: Taking taylor expansion of n in n 1543751821.835 * [misc]backup-simplify: Simplify 0 into 0 1543751821.835 * [misc]backup-simplify: Simplify 1 into 1 1543751821.836 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751821.836 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751821.836 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751821.836 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751821.836 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751821.836 * [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))) 1543751821.836 * [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)))) 1543751821.836 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of k in k 1543751821.837 * [misc]backup-simplify: Simplify 0 into 0 1543751821.837 * [misc]backup-simplify: Simplify 1 into 1 1543751821.837 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.837 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.837 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of (log -2) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of -2 in k 1543751821.837 * [misc]backup-simplify: Simplify -2 into -2 1543751821.837 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751821.837 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751821.837 * [misc]taylor: Taking taylor expansion of n in k 1543751821.837 * [misc]backup-simplify: Simplify n into n 1543751821.837 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751821.837 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751821.838 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.838 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751821.838 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1543751821.838 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1543751821.838 * [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)))) 1543751821.838 * [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)))) 1543751821.838 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1543751821.840 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1543751821.840 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751821.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751821.840 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751821.841 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1543751821.842 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751821.842 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.842 * [misc]backup-simplify: Simplify 0 into 0 1543751821.842 * [misc]backup-simplify: Simplify 0 into 0 1543751821.842 * [misc]backup-simplify: Simplify 0 into 0 1543751821.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751821.845 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1543751821.845 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751821.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751821.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.845 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751821.846 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1543751821.847 * [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 1543751821.847 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.847 * [misc]backup-simplify: Simplify 0 into 0 1543751821.847 * [misc]backup-simplify: Simplify 0 into 0 1543751821.847 * [misc]backup-simplify: Simplify 0 into 0 1543751821.847 * [misc]backup-simplify: Simplify 0 into 0 1543751821.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751821.852 * [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 1543751821.852 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751821.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751821.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.852 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751821.853 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1543751821.855 * [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 1543751821.855 * [misc]taylor: Taking taylor expansion of 0 in k 1543751821.855 * [misc]backup-simplify: Simplify 0 into 0 1543751821.855 * [misc]backup-simplify: Simplify 0 into 0 1543751821.855 * [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))))) 1543751821.855 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1543751821.856 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1543751821.856 * [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 1543751821.856 * [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 1543751821.856 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.856 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.856 * [misc]taylor: Taking taylor expansion of k in n 1543751821.856 * [misc]backup-simplify: Simplify k into k 1543751821.856 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.856 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.856 * [misc]backup-simplify: Simplify 2 into 2 1543751821.856 * [misc]taylor: Taking taylor expansion of n in n 1543751821.856 * [misc]backup-simplify: Simplify 0 into 0 1543751821.856 * [misc]backup-simplify: Simplify 1 into 1 1543751821.856 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.856 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.856 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.856 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751821.856 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751821.857 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751821.857 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.857 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1543751821.857 * [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)))) 1543751821.857 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1543751821.857 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1543751821.857 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1543751821.857 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751821.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.857 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751821.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751821.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.857 * [misc]taylor: Taking taylor expansion of k in n 1543751821.857 * [misc]backup-simplify: Simplify k into k 1543751821.857 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751821.857 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.857 * [misc]backup-simplify: Simplify PI into PI 1543751821.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.858 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751821.858 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751821.858 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751821.858 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1543751821.858 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1543751821.858 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751821.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751821.858 * [misc]taylor: Taking taylor expansion of k in n 1543751821.858 * [misc]backup-simplify: Simplify k into k 1543751821.858 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751821.858 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751821.859 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751821.859 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751821.859 * [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 1543751821.859 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.859 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.859 * [misc]taylor: Taking taylor expansion of k in k 1543751821.859 * [misc]backup-simplify: Simplify 0 into 0 1543751821.859 * [misc]backup-simplify: Simplify 1 into 1 1543751821.859 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of 2 in k 1543751821.859 * [misc]backup-simplify: Simplify 2 into 2 1543751821.859 * [misc]taylor: Taking taylor expansion of n in k 1543751821.859 * [misc]backup-simplify: Simplify n into n 1543751821.859 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1543751821.859 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1543751821.859 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.859 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.859 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.859 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1543751821.859 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1543751821.859 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751821.859 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751821.860 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.860 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.860 * [misc]taylor: Taking taylor expansion of k in k 1543751821.860 * [misc]backup-simplify: Simplify 0 into 0 1543751821.860 * [misc]backup-simplify: Simplify 1 into 1 1543751821.860 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.860 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.860 * [misc]backup-simplify: Simplify PI into PI 1543751821.860 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.860 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.860 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.860 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.861 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751821.861 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751821.861 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751821.861 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.861 * [misc]taylor: Taking taylor expansion of k in k 1543751821.861 * [misc]backup-simplify: Simplify 0 into 0 1543751821.861 * [misc]backup-simplify: Simplify 1 into 1 1543751821.861 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.862 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751821.862 * [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 1543751821.862 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.862 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.862 * [misc]taylor: Taking taylor expansion of k in k 1543751821.862 * [misc]backup-simplify: Simplify 0 into 0 1543751821.862 * [misc]backup-simplify: Simplify 1 into 1 1543751821.862 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1543751821.862 * [misc]taylor: Taking taylor expansion of 2 in k 1543751821.862 * [misc]backup-simplify: Simplify 2 into 2 1543751821.862 * [misc]taylor: Taking taylor expansion of n in k 1543751821.862 * [misc]backup-simplify: Simplify n into n 1543751821.862 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1543751821.862 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1543751821.862 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.862 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.862 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.862 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1543751821.862 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1543751821.863 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751821.863 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751821.863 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751821.863 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751821.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.863 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751821.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751821.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751821.863 * [misc]taylor: Taking taylor expansion of k in k 1543751821.863 * [misc]backup-simplify: Simplify 0 into 0 1543751821.863 * [misc]backup-simplify: Simplify 1 into 1 1543751821.863 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751821.863 * [misc]taylor: Taking taylor expansion of PI in k 1543751821.863 * [misc]backup-simplify: Simplify PI into PI 1543751821.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.863 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751821.863 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.863 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751821.864 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751821.864 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751821.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751821.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751821.864 * [misc]taylor: Taking taylor expansion of k in k 1543751821.864 * [misc]backup-simplify: Simplify 0 into 0 1543751821.864 * [misc]backup-simplify: Simplify 1 into 1 1543751821.864 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751821.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.865 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751821.865 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1543751821.865 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1543751821.865 * [misc]taylor: Taking taylor expansion of 0 in n 1543751821.865 * [misc]backup-simplify: Simplify 0 into 0 1543751821.865 * [misc]backup-simplify: Simplify 0 into 0 1543751821.867 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751821.867 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751821.868 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.868 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1543751821.871 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1543751821.871 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1543751821.873 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1543751821.874 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751821.874 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751821.874 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751821.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1543751821.874 * [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)))) 1543751821.876 * [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)))))) 1543751821.877 * [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))))) 1543751821.877 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1543751821.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751821.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751821.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.877 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.877 * [misc]backup-simplify: Simplify 2 into 2 1543751821.877 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.877 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751821.877 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751821.877 * [misc]taylor: Taking taylor expansion of n in n 1543751821.877 * [misc]backup-simplify: Simplify 0 into 0 1543751821.877 * [misc]backup-simplify: Simplify 1 into 1 1543751821.877 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.877 * [misc]backup-simplify: Simplify PI into PI 1543751821.877 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751821.878 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751821.878 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.878 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.878 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751821.878 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.879 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.879 * [misc]backup-simplify: Simplify 0 into 0 1543751821.879 * [misc]backup-simplify: Simplify 0 into 0 1543751821.879 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751821.879 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751821.882 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1543751821.883 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751821.883 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.883 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1543751821.887 * [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))) 1543751821.888 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1543751821.889 * [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 1543751821.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751821.889 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.889 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1543751821.891 * [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))) 1543751821.895 * [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))))))) 1543751821.900 * [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))))))))) 1543751821.900 * [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 1543751821.900 * [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 1543751821.900 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1543751821.900 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.900 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.900 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1543751821.900 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1543751821.900 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.900 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.900 * [misc]backup-simplify: Simplify 2 into 2 1543751821.900 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.901 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751821.901 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.901 * [misc]backup-simplify: Simplify PI into PI 1543751821.901 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.901 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751821.901 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751821.901 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.901 * [misc]backup-simplify: Simplify PI into PI 1543751821.901 * [misc]taylor: Taking taylor expansion of n in n 1543751821.901 * [misc]backup-simplify: Simplify 0 into 0 1543751821.901 * [misc]backup-simplify: Simplify 1 into 1 1543751821.901 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751821.902 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751821.902 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.902 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.902 * [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 1543751821.902 * [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 1543751821.902 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751821.902 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.902 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.902 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751821.902 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.902 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.902 * [misc]backup-simplify: Simplify 2 into 2 1543751821.902 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.902 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.902 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751821.903 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751821.903 * [misc]taylor: Taking taylor expansion of n in n 1543751821.903 * [misc]backup-simplify: Simplify 0 into 0 1543751821.903 * [misc]backup-simplify: Simplify 1 into 1 1543751821.903 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.903 * [misc]backup-simplify: Simplify PI into PI 1543751821.903 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751821.903 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751821.903 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.904 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.904 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.904 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.904 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.904 * [misc]backup-simplify: Simplify 2 into 2 1543751821.904 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.904 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.904 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.904 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.904 * [misc]backup-simplify: Simplify 2 into 2 1543751821.904 * [misc]taylor: Taking taylor expansion of n in n 1543751821.904 * [misc]backup-simplify: Simplify 0 into 0 1543751821.904 * [misc]backup-simplify: Simplify 1 into 1 1543751821.904 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.904 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.905 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.905 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751821.905 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751821.905 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.905 * [misc]backup-simplify: Simplify PI into PI 1543751821.905 * [misc]taylor: Taking taylor expansion of n in n 1543751821.905 * [misc]backup-simplify: Simplify 0 into 0 1543751821.905 * [misc]backup-simplify: Simplify 1 into 1 1543751821.905 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751821.905 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751821.905 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.906 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.906 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1543751821.907 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1543751821.907 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.907 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751821.907 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.907 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.908 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1543751821.908 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.908 * [misc]backup-simplify: Simplify 0 into 0 1543751821.909 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751821.910 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751821.912 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751821.913 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751821.913 * [misc]backup-simplify: Simplify 0 into 0 1543751821.913 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751821.914 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751821.923 * [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 1543751821.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751821.923 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.924 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.926 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1543751821.934 * [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))) 1543751821.935 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1543751821.939 * [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 1543751821.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751821.940 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1543751821.943 * [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))) 1543751821.951 * [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))))))))) 1543751821.971 * [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))))))))))))))) 1543751821.971 * [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 1543751821.971 * [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 1543751821.971 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1543751821.971 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.971 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.971 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1543751821.971 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1543751821.971 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.971 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.971 * [misc]backup-simplify: Simplify 2 into 2 1543751821.972 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.972 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.972 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751821.972 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.972 * [misc]backup-simplify: Simplify PI into PI 1543751821.972 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.972 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751821.972 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751821.972 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.972 * [misc]backup-simplify: Simplify PI into PI 1543751821.972 * [misc]taylor: Taking taylor expansion of n in n 1543751821.972 * [misc]backup-simplify: Simplify 0 into 0 1543751821.972 * [misc]backup-simplify: Simplify 1 into 1 1543751821.972 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751821.973 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751821.973 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.973 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.973 * [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 1543751821.973 * [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 1543751821.973 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1543751821.973 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.973 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.973 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.974 * [misc]backup-simplify: Simplify 2 into 2 1543751821.974 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.974 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.974 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.974 * [misc]backup-simplify: Simplify PI into PI 1543751821.974 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.974 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751821.974 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.974 * [misc]backup-simplify: Simplify PI into PI 1543751821.974 * [misc]taylor: Taking taylor expansion of n in n 1543751821.974 * [misc]backup-simplify: Simplify 0 into 0 1543751821.974 * [misc]backup-simplify: Simplify 1 into 1 1543751821.974 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751821.975 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751821.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.975 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.975 * [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 1543751821.975 * [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 1543751821.975 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1543751821.975 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.975 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.975 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1543751821.975 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1543751821.975 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.975 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.976 * [misc]backup-simplify: Simplify 2 into 2 1543751821.976 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.976 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1543751821.976 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.976 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.976 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.976 * [misc]backup-simplify: Simplify 2 into 2 1543751821.976 * [misc]taylor: Taking taylor expansion of n in n 1543751821.976 * [misc]backup-simplify: Simplify 0 into 0 1543751821.976 * [misc]backup-simplify: Simplify 1 into 1 1543751821.976 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.976 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.976 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.976 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.976 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751821.976 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751821.977 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.977 * [misc]backup-simplify: Simplify PI into PI 1543751821.977 * [misc]taylor: Taking taylor expansion of n in n 1543751821.977 * [misc]backup-simplify: Simplify 0 into 0 1543751821.977 * [misc]backup-simplify: Simplify 1 into 1 1543751821.977 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751821.977 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751821.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.978 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.978 * [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 1543751821.978 * [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 1543751821.978 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.978 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.978 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.978 * [misc]backup-simplify: Simplify 2 into 2 1543751821.978 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.978 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.978 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.978 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.978 * [misc]backup-simplify: Simplify 2 into 2 1543751821.978 * [misc]taylor: Taking taylor expansion of n in n 1543751821.978 * [misc]backup-simplify: Simplify 0 into 0 1543751821.978 * [misc]backup-simplify: Simplify 1 into 1 1543751821.978 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.978 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.979 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.979 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751821.979 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.979 * [misc]backup-simplify: Simplify PI into PI 1543751821.979 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751821.979 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751821.979 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751821.979 * [misc]taylor: Taking taylor expansion of n in n 1543751821.979 * [misc]backup-simplify: Simplify 0 into 0 1543751821.979 * [misc]backup-simplify: Simplify 1 into 1 1543751821.979 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.979 * [misc]backup-simplify: Simplify PI into PI 1543751821.979 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751821.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751821.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.980 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.980 * [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 1543751821.980 * [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 1543751821.980 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751821.980 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.980 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.980 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751821.980 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.980 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.980 * [misc]backup-simplify: Simplify 2 into 2 1543751821.980 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.980 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.980 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751821.980 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751821.980 * [misc]taylor: Taking taylor expansion of n in n 1543751821.981 * [misc]backup-simplify: Simplify 0 into 0 1543751821.981 * [misc]backup-simplify: Simplify 1 into 1 1543751821.981 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.981 * [misc]backup-simplify: Simplify PI into PI 1543751821.981 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751821.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751821.981 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.982 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.982 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751821.982 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751821.982 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.982 * [misc]backup-simplify: Simplify 2 into 2 1543751821.982 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751821.982 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751821.982 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751821.982 * [misc]taylor: Taking taylor expansion of 2 in n 1543751821.982 * [misc]backup-simplify: Simplify 2 into 2 1543751821.982 * [misc]taylor: Taking taylor expansion of n in n 1543751821.982 * [misc]backup-simplify: Simplify 0 into 0 1543751821.982 * [misc]backup-simplify: Simplify 1 into 1 1543751821.982 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751821.982 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751821.982 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751821.983 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751821.983 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751821.983 * [misc]taylor: Taking taylor expansion of PI in n 1543751821.983 * [misc]backup-simplify: Simplify PI into PI 1543751821.983 * [misc]taylor: Taking taylor expansion of n in n 1543751821.983 * [misc]backup-simplify: Simplify 0 into 0 1543751821.983 * [misc]backup-simplify: Simplify 1 into 1 1543751821.983 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751821.983 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751821.983 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751821.984 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751821.984 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1543751821.985 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1543751821.985 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.986 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1543751821.986 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1543751821.987 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1543751821.988 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.988 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.988 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.989 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1543751821.989 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1543751821.990 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1543751821.990 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.990 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.991 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1543751821.991 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1543751821.992 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1543751821.992 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.992 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751821.992 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.992 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751821.992 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1543751821.993 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.993 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.994 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751821.994 * [misc]backup-simplify: Simplify (- 0) into 0 1543751821.994 * [misc]backup-simplify: Simplify 0 into 0 1543751821.996 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751821.996 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1543751821.997 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1543751821.999 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1543751822.000 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751822.001 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751822.001 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1543751822.003 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751822.003 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751822.004 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1543751822.004 * [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)))))) 1543751822.007 * [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)))))) 1543751822.010 * [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)))))) 1543751822.013 * [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))))))) 1543751822.017 * [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))))))) 1543751822.024 * [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))))))))) 1543751822.031 * [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))))))))) 1543751822.039 * [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))))))))) 1543751822.041 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751822.043 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1543751822.044 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1543751822.047 * [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)))) 1543751822.053 * [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)))) 1543751822.055 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1543751822.057 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1543751822.065 * [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))))))))))))))) 1543751822.065 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (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))))) (sqrt k)) 1543751822.065 * [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 1543751822.065 * [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 1543751822.065 * [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 1543751822.065 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.065 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751822.066 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751822.066 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.066 * [misc]taylor: Taking taylor expansion of k in n 1543751822.066 * [misc]backup-simplify: Simplify k into k 1543751822.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.066 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.066 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.066 * [misc]backup-simplify: Simplify PI into PI 1543751822.066 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.066 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.066 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.066 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.066 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751822.067 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.067 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of k in n 1543751822.067 * [misc]backup-simplify: Simplify k into k 1543751822.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.067 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.067 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.067 * [misc]backup-simplify: Simplify 2 into 2 1543751822.067 * [misc]taylor: Taking taylor expansion of n in n 1543751822.067 * [misc]backup-simplify: Simplify 0 into 0 1543751822.067 * [misc]backup-simplify: Simplify 1 into 1 1543751822.067 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.067 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.067 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.067 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.068 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.068 * [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))) 1543751822.068 * [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)))) 1543751822.068 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751822.068 * [misc]taylor: Taking taylor expansion of k in n 1543751822.068 * [misc]backup-simplify: Simplify k into k 1543751822.068 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751822.068 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751822.068 * [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 1543751822.068 * [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 1543751822.068 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751822.068 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751822.068 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751822.068 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751822.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.069 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.069 * [misc]taylor: Taking taylor expansion of k in k 1543751822.069 * [misc]backup-simplify: Simplify 0 into 0 1543751822.069 * [misc]backup-simplify: Simplify 1 into 1 1543751822.069 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.069 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751822.069 * [misc]taylor: Taking taylor expansion of PI in k 1543751822.069 * [misc]backup-simplify: Simplify PI into PI 1543751822.069 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.069 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.069 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.069 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.070 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751822.070 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.070 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of k in k 1543751822.070 * [misc]backup-simplify: Simplify 0 into 0 1543751822.070 * [misc]backup-simplify: Simplify 1 into 1 1543751822.070 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.070 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1543751822.070 * [misc]taylor: Taking taylor expansion of 2 in k 1543751822.070 * [misc]backup-simplify: Simplify 2 into 2 1543751822.070 * [misc]taylor: Taking taylor expansion of n in k 1543751822.071 * [misc]backup-simplify: Simplify n into n 1543751822.071 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1543751822.071 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1543751822.071 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.071 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.071 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.071 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1543751822.071 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.071 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751822.071 * [misc]taylor: Taking taylor expansion of k in k 1543751822.071 * [misc]backup-simplify: Simplify 0 into 0 1543751822.071 * [misc]backup-simplify: Simplify 1 into 1 1543751822.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.072 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.072 * [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 1543751822.072 * [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 1543751822.072 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of k in k 1543751822.072 * [misc]backup-simplify: Simplify 0 into 0 1543751822.072 * [misc]backup-simplify: Simplify 1 into 1 1543751822.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.072 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751822.072 * [misc]taylor: Taking taylor expansion of PI in k 1543751822.072 * [misc]backup-simplify: Simplify PI into PI 1543751822.072 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.072 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.072 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.072 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.073 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751822.073 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.073 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.073 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of k in k 1543751822.073 * [misc]backup-simplify: Simplify 0 into 0 1543751822.073 * [misc]backup-simplify: Simplify 1 into 1 1543751822.073 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.073 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1543751822.073 * [misc]taylor: Taking taylor expansion of 2 in k 1543751822.073 * [misc]backup-simplify: Simplify 2 into 2 1543751822.074 * [misc]taylor: Taking taylor expansion of n in k 1543751822.074 * [misc]backup-simplify: Simplify n into n 1543751822.074 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1543751822.074 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1543751822.074 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.074 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.074 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.074 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1543751822.074 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.074 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751822.074 * [misc]taylor: Taking taylor expansion of k in k 1543751822.074 * [misc]backup-simplify: Simplify 0 into 0 1543751822.074 * [misc]backup-simplify: Simplify 1 into 1 1543751822.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.075 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.075 * [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))))) 1543751822.075 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1543751822.075 * [misc]taylor: Taking taylor expansion of 0 in n 1543751822.075 * [misc]backup-simplify: Simplify 0 into 0 1543751822.075 * [misc]backup-simplify: Simplify 0 into 0 1543751822.075 * [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 1543751822.076 * [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))))))) 1543751822.076 * [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 1543751822.076 * [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 1543751822.076 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.076 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.076 * [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 1543751822.076 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of k in n 1543751822.076 * [misc]backup-simplify: Simplify k into k 1543751822.076 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.076 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.076 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.076 * [misc]backup-simplify: Simplify PI into PI 1543751822.076 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.076 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.076 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.076 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.077 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751822.077 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.077 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.077 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.077 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of k in n 1543751822.077 * [misc]backup-simplify: Simplify k into k 1543751822.077 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.077 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.077 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.077 * [misc]backup-simplify: Simplify 2 into 2 1543751822.077 * [misc]taylor: Taking taylor expansion of n in n 1543751822.077 * [misc]backup-simplify: Simplify 0 into 0 1543751822.077 * [misc]backup-simplify: Simplify 1 into 1 1543751822.077 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.078 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.078 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.078 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.078 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.078 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.078 * [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))) 1543751822.078 * [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)))) 1543751822.079 * [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))))) 1543751822.079 * [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)))))) 1543751822.081 * [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))))))) 1543751822.081 * [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))))))) 1543751822.081 * [misc]backup-simplify: Simplify 0 into 0 1543751822.082 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751822.082 * [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 1543751822.083 * [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))))))) 1543751822.083 * [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 1543751822.083 * [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 1543751822.083 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.083 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.083 * [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 1543751822.083 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of k in n 1543751822.083 * [misc]backup-simplify: Simplify k into k 1543751822.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.083 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.083 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.083 * [misc]backup-simplify: Simplify PI into PI 1543751822.083 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.083 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.083 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.083 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.084 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751822.084 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.084 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.084 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of k in n 1543751822.084 * [misc]backup-simplify: Simplify k into k 1543751822.084 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.084 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.084 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.084 * [misc]backup-simplify: Simplify 2 into 2 1543751822.084 * [misc]taylor: Taking taylor expansion of n in n 1543751822.084 * [misc]backup-simplify: Simplify 0 into 0 1543751822.084 * [misc]backup-simplify: Simplify 1 into 1 1543751822.084 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.085 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.085 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.085 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.085 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.085 * [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))) 1543751822.085 * [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)))) 1543751822.086 * [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))))) 1543751822.086 * [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)))))) 1543751822.086 * [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))))))) 1543751822.087 * [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))))))) 1543751822.087 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1543751822.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751822.089 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751822.089 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.089 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.090 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1543751822.090 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751822.092 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751822.092 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751822.092 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.093 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1543751822.094 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751822.094 * [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 1543751822.095 * [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 1543751822.095 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.095 * [misc]backup-simplify: Simplify 0 into 0 1543751822.095 * [misc]backup-simplify: Simplify 0 into 0 1543751822.096 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751822.096 * [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 1543751822.097 * [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))))))) 1543751822.097 * [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 1543751822.097 * [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 1543751822.097 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.097 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.097 * [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 1543751822.097 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.097 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751822.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751822.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.098 * [misc]taylor: Taking taylor expansion of k in n 1543751822.098 * [misc]backup-simplify: Simplify k into k 1543751822.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.098 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.098 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.098 * [misc]backup-simplify: Simplify PI into PI 1543751822.098 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.099 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.099 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.099 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751822.100 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.100 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of k in n 1543751822.100 * [misc]backup-simplify: Simplify k into k 1543751822.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.100 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.100 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.100 * [misc]backup-simplify: Simplify 2 into 2 1543751822.100 * [misc]taylor: Taking taylor expansion of n in n 1543751822.100 * [misc]backup-simplify: Simplify 0 into 0 1543751822.100 * [misc]backup-simplify: Simplify 1 into 1 1543751822.100 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.101 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.101 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.101 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.101 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.102 * [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))) 1543751822.102 * [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)))) 1543751822.102 * [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))))) 1543751822.103 * [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)))))) 1543751822.104 * [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))))))) 1543751822.104 * [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))))))) 1543751822.107 * [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)))))))) 1543751822.108 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (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))) (sqrt (/ -1 k))) 1543751822.108 * [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 1543751822.108 * [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 1543751822.108 * [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 1543751822.108 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.108 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.108 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.108 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.109 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.109 * [misc]taylor: Taking taylor expansion of k in n 1543751822.109 * [misc]backup-simplify: Simplify k into k 1543751822.109 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.109 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.109 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.109 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.109 * [misc]backup-simplify: Simplify -2 into -2 1543751822.109 * [misc]taylor: Taking taylor expansion of n in n 1543751822.109 * [misc]backup-simplify: Simplify 0 into 0 1543751822.110 * [misc]backup-simplify: Simplify 1 into 1 1543751822.110 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.110 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.110 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.110 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.111 * [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))) 1543751822.111 * [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)))) 1543751822.111 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.111 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751822.111 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751822.111 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.112 * [misc]taylor: Taking taylor expansion of k in n 1543751822.112 * [misc]backup-simplify: Simplify k into k 1543751822.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.112 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.112 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.112 * [misc]backup-simplify: Simplify PI into PI 1543751822.112 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.112 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.112 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.113 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751822.113 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.113 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751822.113 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751822.113 * [misc]taylor: Taking taylor expansion of -1 in n 1543751822.113 * [misc]backup-simplify: Simplify -1 into -1 1543751822.113 * [misc]taylor: Taking taylor expansion of k in n 1543751822.114 * [misc]backup-simplify: Simplify k into k 1543751822.114 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751822.114 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751822.114 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751822.114 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751822.114 * [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))) 1543751822.115 * [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))) 1543751822.115 * [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 1543751822.115 * [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 1543751822.115 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751822.115 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1543751822.115 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1543751822.115 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751822.115 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.115 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.115 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.116 * [misc]taylor: Taking taylor expansion of k in k 1543751822.116 * [misc]backup-simplify: Simplify 0 into 0 1543751822.116 * [misc]backup-simplify: Simplify 1 into 1 1543751822.116 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.116 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.116 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1543751822.116 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1543751822.116 * [misc]taylor: Taking taylor expansion of -2 in k 1543751822.116 * [misc]backup-simplify: Simplify -2 into -2 1543751822.116 * [misc]taylor: Taking taylor expansion of n in k 1543751822.116 * [misc]backup-simplify: Simplify n into n 1543751822.116 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1543751822.116 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1543751822.116 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.116 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.117 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1543751822.117 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.117 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of k in k 1543751822.117 * [misc]backup-simplify: Simplify 0 into 0 1543751822.117 * [misc]backup-simplify: Simplify 1 into 1 1543751822.117 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.117 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751822.117 * [misc]taylor: Taking taylor expansion of PI in k 1543751822.117 * [misc]backup-simplify: Simplify PI into PI 1543751822.118 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.118 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.118 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.119 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751822.119 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.119 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751822.119 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751822.119 * [misc]taylor: Taking taylor expansion of -1 in k 1543751822.119 * [misc]backup-simplify: Simplify -1 into -1 1543751822.119 * [misc]taylor: Taking taylor expansion of k in k 1543751822.119 * [misc]backup-simplify: Simplify 0 into 0 1543751822.119 * [misc]backup-simplify: Simplify 1 into 1 1543751822.120 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751822.120 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.120 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751822.120 * [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))) 1543751822.121 * [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)))) 1543751822.121 * [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 1543751822.121 * [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 1543751822.121 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751822.121 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1543751822.121 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1543751822.121 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751822.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.121 * [misc]taylor: Taking taylor expansion of k in k 1543751822.121 * [misc]backup-simplify: Simplify 0 into 0 1543751822.121 * [misc]backup-simplify: Simplify 1 into 1 1543751822.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.122 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1543751822.122 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1543751822.122 * [misc]taylor: Taking taylor expansion of -2 in k 1543751822.122 * [misc]backup-simplify: Simplify -2 into -2 1543751822.122 * [misc]taylor: Taking taylor expansion of n in k 1543751822.122 * [misc]backup-simplify: Simplify n into n 1543751822.122 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1543751822.122 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1543751822.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.122 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.122 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1543751822.123 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.123 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.123 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of k in k 1543751822.123 * [misc]backup-simplify: Simplify 0 into 0 1543751822.123 * [misc]backup-simplify: Simplify 1 into 1 1543751822.123 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.123 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751822.123 * [misc]taylor: Taking taylor expansion of PI in k 1543751822.123 * [misc]backup-simplify: Simplify PI into PI 1543751822.123 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.124 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.124 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.124 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751822.124 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.124 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751822.124 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751822.124 * [misc]taylor: Taking taylor expansion of -1 in k 1543751822.124 * [misc]backup-simplify: Simplify -1 into -1 1543751822.124 * [misc]taylor: Taking taylor expansion of k in k 1543751822.124 * [misc]backup-simplify: Simplify 0 into 0 1543751822.124 * [misc]backup-simplify: Simplify 1 into 1 1543751822.125 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751822.125 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.125 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751822.125 * [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))) 1543751822.125 * [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)))) 1543751822.125 * [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 1543751822.125 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.125 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.125 * [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 1543751822.125 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.125 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of k in n 1543751822.126 * [misc]backup-simplify: Simplify k into k 1543751822.126 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.126 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.126 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.126 * [misc]backup-simplify: Simplify -2 into -2 1543751822.126 * [misc]taylor: Taking taylor expansion of n in n 1543751822.126 * [misc]backup-simplify: Simplify 0 into 0 1543751822.126 * [misc]backup-simplify: Simplify 1 into 1 1543751822.126 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.126 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.126 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.126 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.126 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.127 * [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))) 1543751822.127 * [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)))) 1543751822.127 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of k in n 1543751822.127 * [misc]backup-simplify: Simplify k into k 1543751822.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.127 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.127 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.127 * [misc]backup-simplify: Simplify PI into PI 1543751822.127 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.127 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.127 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.128 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751822.128 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.128 * [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))) 1543751822.129 * [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)))) 1543751822.129 * [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)))) 1543751822.129 * [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 1543751822.129 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751822.130 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751822.131 * [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))))) 1543751822.131 * [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 1543751822.131 * [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 1543751822.131 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.131 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.131 * [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 1543751822.131 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of k in n 1543751822.131 * [misc]backup-simplify: Simplify k into k 1543751822.131 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.131 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.131 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.131 * [misc]backup-simplify: Simplify -2 into -2 1543751822.131 * [misc]taylor: Taking taylor expansion of n in n 1543751822.131 * [misc]backup-simplify: Simplify 0 into 0 1543751822.131 * [misc]backup-simplify: Simplify 1 into 1 1543751822.131 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.131 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.131 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.131 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.132 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.132 * [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))) 1543751822.132 * [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)))) 1543751822.132 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of k in n 1543751822.132 * [misc]backup-simplify: Simplify k into k 1543751822.132 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.132 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.132 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.132 * [misc]backup-simplify: Simplify PI into PI 1543751822.133 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.133 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.133 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.133 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751822.133 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.133 * [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))) 1543751822.134 * [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)))) 1543751822.134 * [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))))) 1543751822.135 * [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))))) 1543751822.136 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751822.136 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751822.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.137 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1543751822.138 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751822.138 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1543751822.140 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1543751822.140 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.140 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751822.140 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.141 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1543751822.141 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751822.142 * [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 1543751822.142 * [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 1543751822.142 * [misc]backup-simplify: Simplify 0 into 0 1543751822.143 * [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 1543751822.143 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751822.143 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751822.144 * [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))))) 1543751822.144 * [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 1543751822.144 * [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 1543751822.144 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.144 * [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 1543751822.144 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.145 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of k in n 1543751822.145 * [misc]backup-simplify: Simplify k into k 1543751822.145 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.145 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.145 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.145 * [misc]backup-simplify: Simplify -2 into -2 1543751822.145 * [misc]taylor: Taking taylor expansion of n in n 1543751822.145 * [misc]backup-simplify: Simplify 0 into 0 1543751822.145 * [misc]backup-simplify: Simplify 1 into 1 1543751822.145 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.145 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.145 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.145 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.145 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.146 * [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))) 1543751822.146 * [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)))) 1543751822.146 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of k in n 1543751822.146 * [misc]backup-simplify: Simplify k into k 1543751822.146 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.146 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751822.146 * [misc]taylor: Taking taylor expansion of PI in n 1543751822.146 * [misc]backup-simplify: Simplify PI into PI 1543751822.146 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751822.146 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.146 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.147 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751822.147 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.147 * [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))) 1543751822.148 * [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)))) 1543751822.148 * [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))))) 1543751822.148 * [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))))) 1543751822.150 * [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)))))))) 1543751822.150 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1543751822.150 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1543751822.150 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1543751822.150 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1543751822.150 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.151 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.151 * [misc]taylor: Taking taylor expansion of k in n 1543751822.151 * [misc]backup-simplify: Simplify k into k 1543751822.151 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751822.151 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.151 * [misc]backup-simplify: Simplify 2 into 2 1543751822.151 * [misc]taylor: Taking taylor expansion of n in n 1543751822.151 * [misc]backup-simplify: Simplify 0 into 0 1543751822.151 * [misc]backup-simplify: Simplify 1 into 1 1543751822.151 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751822.151 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751822.151 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.151 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751822.151 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751822.151 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751822.152 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751822.152 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1543751822.152 * [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)))) 1543751822.152 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1543751822.152 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751822.152 * [misc]taylor: Taking taylor expansion of k in n 1543751822.152 * [misc]backup-simplify: Simplify k into k 1543751822.152 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751822.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751822.152 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.152 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751822.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.152 * [misc]taylor: Taking taylor expansion of k in k 1543751822.152 * [misc]backup-simplify: Simplify 0 into 0 1543751822.153 * [misc]backup-simplify: Simplify 1 into 1 1543751822.153 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1543751822.153 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1543751822.153 * [misc]taylor: Taking taylor expansion of 2 in k 1543751822.153 * [misc]backup-simplify: Simplify 2 into 2 1543751822.153 * [misc]taylor: Taking taylor expansion of n in k 1543751822.153 * [misc]backup-simplify: Simplify n into n 1543751822.153 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1543751822.153 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1543751822.153 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751822.153 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.153 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.153 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1543751822.153 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1543751822.153 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1543751822.153 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751822.153 * [misc]taylor: Taking taylor expansion of k in k 1543751822.153 * [misc]backup-simplify: Simplify 0 into 0 1543751822.153 * [misc]backup-simplify: Simplify 1 into 1 1543751822.153 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.154 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.154 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.154 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.154 * [misc]taylor: Taking taylor expansion of k in k 1543751822.154 * [misc]backup-simplify: Simplify 0 into 0 1543751822.154 * [misc]backup-simplify: Simplify 1 into 1 1543751822.154 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1543751822.154 * [misc]taylor: Taking taylor expansion of 2 in k 1543751822.154 * [misc]backup-simplify: Simplify 2 into 2 1543751822.154 * [misc]taylor: Taking taylor expansion of n in k 1543751822.154 * [misc]backup-simplify: Simplify n into n 1543751822.154 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1543751822.154 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1543751822.154 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751822.154 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.155 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.155 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1543751822.155 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1543751822.155 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1543751822.155 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751822.155 * [misc]taylor: Taking taylor expansion of k in k 1543751822.155 * [misc]backup-simplify: Simplify 0 into 0 1543751822.155 * [misc]backup-simplify: Simplify 1 into 1 1543751822.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.155 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.155 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1543751822.155 * [misc]taylor: Taking taylor expansion of 0 in n 1543751822.155 * [misc]backup-simplify: Simplify 0 into 0 1543751822.155 * [misc]backup-simplify: Simplify 0 into 0 1543751822.156 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1543751822.156 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1543751822.156 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751822.157 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.157 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1543751822.157 * [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)))) 1543751822.158 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1543751822.160 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1543751822.160 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1543751822.160 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1543751822.160 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.160 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.160 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1543751822.160 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1543751822.160 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751822.160 * [misc]taylor: Taking taylor expansion of n in n 1543751822.160 * [misc]backup-simplify: Simplify 0 into 0 1543751822.160 * [misc]backup-simplify: Simplify 1 into 1 1543751822.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.160 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.161 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.161 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1543751822.161 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.161 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1543751822.161 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1543751822.161 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.161 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1543751822.162 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1543751822.162 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.163 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.163 * [misc]backup-simplify: Simplify 0 into 0 1543751822.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751822.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1543751822.165 * [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 1543751822.165 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751822.165 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1543751822.167 * [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))) 1543751822.173 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1543751822.183 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1543751822.183 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.184 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.184 * [misc]backup-simplify: Simplify 2 into 2 1543751822.184 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751822.184 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751822.184 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1543751822.184 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.185 * [misc]backup-simplify: Simplify 2 into 2 1543751822.185 * [misc]taylor: Taking taylor expansion of n in n 1543751822.185 * [misc]backup-simplify: Simplify 0 into 0 1543751822.185 * [misc]backup-simplify: Simplify 1 into 1 1543751822.185 * [misc]backup-simplify: Simplify (* 2 0) into 0 1543751822.185 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1543751822.185 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.185 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1543751822.185 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1543751822.185 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.186 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1543751822.186 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1543751822.186 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1543751822.186 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751822.186 * [misc]taylor: Taking taylor expansion of n in n 1543751822.186 * [misc]backup-simplify: Simplify 0 into 0 1543751822.186 * [misc]backup-simplify: Simplify 1 into 1 1543751822.186 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.186 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.187 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.187 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1543751822.187 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1543751822.187 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.187 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.187 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1543751822.187 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1543751822.187 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751822.187 * [misc]taylor: Taking taylor expansion of n in n 1543751822.187 * [misc]backup-simplify: Simplify 0 into 0 1543751822.187 * [misc]backup-simplify: Simplify 1 into 1 1543751822.187 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.188 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.188 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1543751822.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.188 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1543751822.188 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1543751822.189 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751822.190 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1543751822.190 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1543751822.194 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1543751822.195 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1543751822.195 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1543751822.195 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1543751822.198 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751822.199 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1543751822.200 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1543751822.203 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1543751822.204 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1543751822.214 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1543751822.215 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.215 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1543751822.216 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1543751822.217 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.226 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1543751822.235 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1543751822.243 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1543751822.244 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1543751822.244 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751822.245 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751822.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.248 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.249 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.249 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1543751822.262 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1543751822.262 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1543751822.262 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1543751822.262 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1543751822.262 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751822.262 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.262 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.262 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.263 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.263 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.263 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.263 * [misc]taylor: Taking taylor expansion of k in n 1543751822.263 * [misc]backup-simplify: Simplify k into k 1543751822.263 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.263 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.263 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.263 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.263 * [misc]backup-simplify: Simplify 2 into 2 1543751822.263 * [misc]taylor: Taking taylor expansion of n in n 1543751822.263 * [misc]backup-simplify: Simplify 0 into 0 1543751822.263 * [misc]backup-simplify: Simplify 1 into 1 1543751822.263 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.263 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.264 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.264 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.264 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.264 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.264 * [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))) 1543751822.265 * [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)))) 1543751822.265 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1543751822.265 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751822.265 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.265 * [misc]taylor: Taking taylor expansion of k in n 1543751822.265 * [misc]backup-simplify: Simplify k into k 1543751822.265 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.266 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751822.266 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751822.266 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.266 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.266 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.266 * [misc]taylor: Taking taylor expansion of k in k 1543751822.266 * [misc]backup-simplify: Simplify 0 into 0 1543751822.266 * [misc]backup-simplify: Simplify 1 into 1 1543751822.267 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.267 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1543751822.267 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1543751822.267 * [misc]taylor: Taking taylor expansion of 2 in k 1543751822.267 * [misc]backup-simplify: Simplify 2 into 2 1543751822.267 * [misc]taylor: Taking taylor expansion of n in k 1543751822.267 * [misc]backup-simplify: Simplify n into n 1543751822.267 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1543751822.267 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1543751822.267 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.267 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.267 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.267 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1543751822.268 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.268 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1543751822.268 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751822.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.268 * [misc]taylor: Taking taylor expansion of k in k 1543751822.268 * [misc]backup-simplify: Simplify 0 into 0 1543751822.268 * [misc]backup-simplify: Simplify 1 into 1 1543751822.268 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.268 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.269 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.269 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.269 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.269 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.269 * [misc]taylor: Taking taylor expansion of k in k 1543751822.269 * [misc]backup-simplify: Simplify 0 into 0 1543751822.269 * [misc]backup-simplify: Simplify 1 into 1 1543751822.269 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.269 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1543751822.270 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1543751822.270 * [misc]taylor: Taking taylor expansion of 2 in k 1543751822.270 * [misc]backup-simplify: Simplify 2 into 2 1543751822.270 * [misc]taylor: Taking taylor expansion of n in k 1543751822.270 * [misc]backup-simplify: Simplify n into n 1543751822.270 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1543751822.270 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1543751822.270 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.270 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751822.270 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751822.270 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1543751822.271 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751822.271 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1543751822.271 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751822.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.271 * [misc]taylor: Taking taylor expansion of k in k 1543751822.271 * [misc]backup-simplify: Simplify 0 into 0 1543751822.271 * [misc]backup-simplify: Simplify 1 into 1 1543751822.271 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.271 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.272 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751822.272 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1543751822.272 * [misc]taylor: Taking taylor expansion of 0 in n 1543751822.272 * [misc]backup-simplify: Simplify 0 into 0 1543751822.272 * [misc]backup-simplify: Simplify 0 into 0 1543751822.273 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751822.273 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1543751822.273 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.273 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.273 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.273 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.273 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.273 * [misc]taylor: Taking taylor expansion of k in n 1543751822.273 * [misc]backup-simplify: Simplify k into k 1543751822.274 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.274 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.274 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.274 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.274 * [misc]backup-simplify: Simplify 2 into 2 1543751822.274 * [misc]taylor: Taking taylor expansion of n in n 1543751822.274 * [misc]backup-simplify: Simplify 0 into 0 1543751822.274 * [misc]backup-simplify: Simplify 1 into 1 1543751822.274 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.274 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.274 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.274 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.274 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.275 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.275 * [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))) 1543751822.275 * [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)))) 1543751822.276 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1543751822.276 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751822.277 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1543751822.277 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1543751822.277 * [misc]backup-simplify: Simplify 0 into 0 1543751822.277 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751822.279 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751822.279 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751822.280 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1543751822.280 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.280 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.280 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.280 * [misc]taylor: Taking taylor expansion of k in n 1543751822.280 * [misc]backup-simplify: Simplify k into k 1543751822.280 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.281 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.281 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.281 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.281 * [misc]backup-simplify: Simplify 2 into 2 1543751822.281 * [misc]taylor: Taking taylor expansion of n in n 1543751822.281 * [misc]backup-simplify: Simplify 0 into 0 1543751822.281 * [misc]backup-simplify: Simplify 1 into 1 1543751822.281 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.281 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.281 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.281 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.281 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.282 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.282 * [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))) 1543751822.282 * [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)))) 1543751822.283 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1543751822.283 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751822.284 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1543751822.284 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1543751822.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1543751822.287 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751822.287 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.288 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751822.288 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.288 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.289 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1543751822.290 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751822.291 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1543751822.291 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1543751822.291 * [misc]backup-simplify: Simplify (- 0) into 0 1543751822.292 * [misc]backup-simplify: Simplify 0 into 0 1543751822.292 * [misc]backup-simplify: Simplify 0 into 0 1543751822.292 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751822.293 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751822.294 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751822.295 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1543751822.295 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.295 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of k in n 1543751822.295 * [misc]backup-simplify: Simplify k into k 1543751822.295 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.295 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1543751822.295 * [misc]taylor: Taking taylor expansion of 2 in n 1543751822.295 * [misc]backup-simplify: Simplify 2 into 2 1543751822.295 * [misc]taylor: Taking taylor expansion of n in n 1543751822.295 * [misc]backup-simplify: Simplify 0 into 0 1543751822.295 * [misc]backup-simplify: Simplify 1 into 1 1543751822.296 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1543751822.296 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751822.296 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.296 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751822.296 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751822.297 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1543751822.297 * [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))) 1543751822.297 * [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)))) 1543751822.298 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1543751822.298 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751822.298 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1543751822.299 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1543751822.301 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1543751822.301 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751822.301 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1543751822.301 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751822.301 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751822.301 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751822.301 * [misc]taylor: Taking taylor expansion of -1 in n 1543751822.301 * [misc]backup-simplify: Simplify -1 into -1 1543751822.301 * [misc]taylor: Taking taylor expansion of k in n 1543751822.302 * [misc]backup-simplify: Simplify k into k 1543751822.302 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751822.302 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751822.302 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751822.302 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751822.302 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.302 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of k in n 1543751822.302 * [misc]backup-simplify: Simplify k into k 1543751822.302 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.302 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.302 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.302 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.303 * [misc]backup-simplify: Simplify -2 into -2 1543751822.303 * [misc]taylor: Taking taylor expansion of n in n 1543751822.303 * [misc]backup-simplify: Simplify 0 into 0 1543751822.303 * [misc]backup-simplify: Simplify 1 into 1 1543751822.303 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.303 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.303 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.303 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.304 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.304 * [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))) 1543751822.304 * [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)))) 1543751822.305 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1543751822.305 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751822.305 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751822.305 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751822.305 * [misc]taylor: Taking taylor expansion of -1 in k 1543751822.305 * [misc]backup-simplify: Simplify -1 into -1 1543751822.305 * [misc]taylor: Taking taylor expansion of k in k 1543751822.305 * [misc]backup-simplify: Simplify 0 into 0 1543751822.305 * [misc]backup-simplify: Simplify 1 into 1 1543751822.305 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751822.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.306 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751822.306 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of k in k 1543751822.306 * [misc]backup-simplify: Simplify 0 into 0 1543751822.306 * [misc]backup-simplify: Simplify 1 into 1 1543751822.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.306 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1543751822.306 * [misc]taylor: Taking taylor expansion of -2 in k 1543751822.306 * [misc]backup-simplify: Simplify -2 into -2 1543751822.306 * [misc]taylor: Taking taylor expansion of n in k 1543751822.307 * [misc]backup-simplify: Simplify n into n 1543751822.307 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1543751822.307 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1543751822.307 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.307 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.307 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1543751822.307 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.308 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751822.308 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751822.308 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751822.308 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751822.308 * [misc]taylor: Taking taylor expansion of -1 in k 1543751822.308 * [misc]backup-simplify: Simplify -1 into -1 1543751822.308 * [misc]taylor: Taking taylor expansion of k in k 1543751822.308 * [misc]backup-simplify: Simplify 0 into 0 1543751822.308 * [misc]backup-simplify: Simplify 1 into 1 1543751822.308 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751822.308 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751822.309 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751822.309 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.309 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of k in k 1543751822.309 * [misc]backup-simplify: Simplify 0 into 0 1543751822.309 * [misc]backup-simplify: Simplify 1 into 1 1543751822.309 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751822.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751822.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.309 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1543751822.309 * [misc]taylor: Taking taylor expansion of -2 in k 1543751822.309 * [misc]backup-simplify: Simplify -2 into -2 1543751822.309 * [misc]taylor: Taking taylor expansion of n in k 1543751822.309 * [misc]backup-simplify: Simplify n into n 1543751822.309 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1543751822.309 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1543751822.310 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751822.310 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751822.310 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1543751822.310 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751822.310 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751822.310 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751822.310 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.311 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.311 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.311 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of k in n 1543751822.311 * [misc]backup-simplify: Simplify k into k 1543751822.311 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.311 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.311 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.311 * [misc]backup-simplify: Simplify -2 into -2 1543751822.311 * [misc]taylor: Taking taylor expansion of n in n 1543751822.311 * [misc]backup-simplify: Simplify 0 into 0 1543751822.311 * [misc]backup-simplify: Simplify 1 into 1 1543751822.311 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.312 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.312 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.312 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.312 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.312 * [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))) 1543751822.313 * [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)))) 1543751822.313 * [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))))) 1543751822.313 * [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))))) 1543751822.314 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751822.315 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751822.316 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751822.316 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.316 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.316 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.316 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of k in n 1543751822.316 * [misc]backup-simplify: Simplify k into k 1543751822.316 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.316 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.316 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.316 * [misc]backup-simplify: Simplify -2 into -2 1543751822.316 * [misc]taylor: Taking taylor expansion of n in n 1543751822.316 * [misc]backup-simplify: Simplify 0 into 0 1543751822.316 * [misc]backup-simplify: Simplify 1 into 1 1543751822.317 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.317 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.317 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.317 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.317 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.318 * [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))) 1543751822.318 * [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)))) 1543751822.318 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1543751822.319 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751822.319 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1543751822.320 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1543751822.320 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1543751822.323 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1543751822.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751822.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751822.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751822.324 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.324 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1543751822.326 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751822.327 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1543751822.327 * [misc]backup-simplify: Simplify 0 into 0 1543751822.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751822.328 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751822.329 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751822.329 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751822.329 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751822.329 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751822.329 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751822.329 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751822.329 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.330 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of k in n 1543751822.330 * [misc]backup-simplify: Simplify k into k 1543751822.330 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751822.330 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751822.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751822.330 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1543751822.330 * [misc]taylor: Taking taylor expansion of -2 in n 1543751822.330 * [misc]backup-simplify: Simplify -2 into -2 1543751822.330 * [misc]taylor: Taking taylor expansion of n in n 1543751822.330 * [misc]backup-simplify: Simplify 0 into 0 1543751822.330 * [misc]backup-simplify: Simplify 1 into 1 1543751822.330 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1543751822.330 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1543751822.331 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751822.331 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751822.331 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1543751822.332 * [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))) 1543751822.332 * [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)))) 1543751822.332 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1543751822.333 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1543751822.333 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1543751822.334 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1543751822.336 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1543751822.336 * * * [misc]progress: simplifying candidates 1543751822.336 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1543751822.336 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1543751822.336 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1543751822.336 * * [misc]simplify: iters left: 3 (5 enodes) 1543751822.337 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1543751822.337 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751822.337 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1543751822.337 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1543751822.338 * * [misc]simplify: iters left: 5 (6 enodes) 1543751822.339 * * [misc]simplify: iters left: 4 (8 enodes) 1543751822.340 * * [misc]simplify: iters left: 3 (11 enodes) 1543751822.342 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1543751822.342 * [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)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751822.342 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1543751822.342 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1543751822.342 * * [misc]simplify: iters left: 5 (6 enodes) 1543751822.346 * * [misc]simplify: iters left: 4 (8 enodes) 1543751822.347 * * [misc]simplify: iters left: 3 (11 enodes) 1543751822.349 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1543751822.349 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751822.349 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1543751822.349 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751822.349 * * [misc]simplify: iters left: 4 (5 enodes) 1543751822.350 * * [misc]simplify: iters left: 3 (7 enodes) 1543751822.352 * * [misc]simplify: iters left: 2 (10 enodes) 1543751822.353 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751822.353 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751822.353 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1543751822.353 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1543751822.354 * * [misc]simplify: iters left: 5 (6 enodes) 1543751822.355 * * [misc]simplify: iters left: 4 (8 enodes) 1543751822.356 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1543751822.356 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751822.356 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1543751822.356 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1543751822.357 * * [misc]simplify: iters left: 5 (6 enodes) 1543751822.358 * * [misc]simplify: iters left: 4 (8 enodes) 1543751822.359 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1543751822.359 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751822.359 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1543751822.359 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1543751822.359 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1543751822.359 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1543751822.359 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1543751822.359 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1543751822.360 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1543751822.360 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1543751822.360 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1543751822.360 * * [misc]simplify: iters left: 6 (9 enodes) 1543751822.363 * * [misc]simplify: iters left: 5 (16 enodes) 1543751822.371 * * [misc]simplify: iters left: 4 (32 enodes) 1543751822.389 * * [misc]simplify: iters left: 3 (68 enodes) 1543751822.436 * * [misc]simplify: iters left: 2 (171 enodes) 1543751822.521 * * [misc]simplify: iters left: 1 (342 enodes) 1543751822.650 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1543751822.650 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1543751822.650 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1543751822.650 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1543751822.651 * [enter]simplify: Simplifying (* n 2) 1543751822.651 * * [misc]simplify: iters left: 2 (3 enodes) 1543751822.652 * * [misc]simplify: iters left: 1 (4 enodes) 1543751822.653 * [exit]simplify: Simplified to (* n 2) 1543751822.653 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1543751822.653 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1543751822.654 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1543751822.654 * * [misc]simplify: iters left: 3 (6 enodes) 1543751822.656 * * [misc]simplify: iters left: 2 (7 enodes) 1543751822.659 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1543751822.659 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1543751822.659 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1543751822.659 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1543751822.659 * * [misc]simplify: iters left: 5 (6 enodes) 1543751822.661 * * [misc]simplify: iters left: 4 (8 enodes) 1543751822.662 * * [misc]simplify: iters left: 3 (11 enodes) 1543751822.664 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1543751822.664 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1543751822.664 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1543751822.664 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1543751822.664 * * [misc]simplify: iters left: 5 (6 enodes) 1543751822.665 * * [misc]simplify: iters left: 4 (8 enodes) 1543751822.667 * * [misc]simplify: iters left: 3 (11 enodes) 1543751822.669 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1543751822.669 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1543751822.669 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1543751822.669 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751822.669 * * [misc]simplify: iters left: 4 (5 enodes) 1543751822.670 * * [misc]simplify: iters left: 3 (7 enodes) 1543751822.671 * * [misc]simplify: iters left: 2 (10 enodes) 1543751822.673 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751822.673 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1543751822.673 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1543751822.673 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1543751822.674 * * [misc]simplify: iters left: 5 (7 enodes) 1543751822.675 * * [misc]simplify: iters left: 4 (10 enodes) 1543751822.677 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1543751822.677 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1543751822.677 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1543751822.677 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1543751822.677 * * [misc]simplify: iters left: 5 (7 enodes) 1543751822.679 * * [misc]simplify: iters left: 4 (10 enodes) 1543751822.680 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1543751822.680 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1543751822.680 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1543751822.681 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1543751822.681 * * [misc]simplify: iters left: 5 (7 enodes) 1543751822.682 * * [misc]simplify: iters left: 4 (9 enodes) 1543751822.684 * * [misc]simplify: iters left: 3 (12 enodes) 1543751822.686 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1543751822.686 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751822.686 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1543751822.686 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1543751822.686 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1543751822.687 * * [misc]simplify: iters left: 6 (16 enodes) 1543751822.691 * * [misc]simplify: iters left: 5 (30 enodes) 1543751822.700 * * [misc]simplify: iters left: 4 (66 enodes) 1543751822.753 * * [misc]simplify: iters left: 3 (209 enodes) 1543751823.005 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1543751823.005 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1543751823.006 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1543751823.006 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1543751823.007 * * [misc]simplify: iters left: 6 (16 enodes) 1543751823.012 * * [misc]simplify: iters left: 5 (30 enodes) 1543751823.023 * * [misc]simplify: iters left: 4 (66 enodes) 1543751823.051 * * [misc]simplify: iters left: 3 (209 enodes) 1543751823.281 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1543751823.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1543751823.281 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1543751823.282 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751823.284 * * [misc]simplify: iters left: 6 (16 enodes) 1543751823.293 * * [misc]simplify: iters left: 5 (28 enodes) 1543751823.308 * * [misc]simplify: iters left: 4 (54 enodes) 1543751823.341 * * [misc]simplify: iters left: 3 (132 enodes) 1543751823.431 * * [misc]simplify: iters left: 2 (467 enodes) 1543751824.114 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1543751824.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1543751824.115 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1543751824.115 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751824.116 * * [misc]simplify: iters left: 6 (15 enodes) 1543751824.123 * * [misc]simplify: iters left: 5 (24 enodes) 1543751824.128 * * [misc]simplify: iters left: 4 (40 enodes) 1543751824.140 * * [misc]simplify: iters left: 3 (81 enodes) 1543751824.173 * * [misc]simplify: iters left: 2 (186 enodes) 1543751824.396 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1543751824.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1543751824.396 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1543751824.397 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1543751824.398 * * [misc]simplify: iters left: 6 (16 enodes) 1543751824.408 * * [misc]simplify: iters left: 5 (31 enodes) 1543751824.422 * * [misc]simplify: iters left: 4 (62 enodes) 1543751824.468 * * [misc]simplify: iters left: 3 (183 enodes) 1543751824.665 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1543751824.665 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1543751824.665 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1543751824.666 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1543751824.667 * * [misc]simplify: iters left: 6 (16 enodes) 1543751824.671 * * [misc]simplify: iters left: 5 (31 enodes) 1543751824.679 * * [misc]simplify: iters left: 4 (62 enodes) 1543751824.717 * * [misc]simplify: iters left: 3 (183 enodes) 1543751824.896 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1543751824.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1543751824.896 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1543751824.896 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751824.897 * * [misc]simplify: iters left: 6 (16 enodes) 1543751824.901 * * [misc]simplify: iters left: 5 (29 enodes) 1543751824.908 * * [misc]simplify: iters left: 4 (50 enodes) 1543751824.922 * * [misc]simplify: iters left: 3 (106 enodes) 1543751825.005 * * [misc]simplify: iters left: 2 (416 enodes) 1543751825.654 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1543751825.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1543751825.654 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1543751825.654 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751825.655 * * [misc]simplify: iters left: 6 (15 enodes) 1543751825.659 * * [misc]simplify: iters left: 5 (25 enodes) 1543751825.664 * * [misc]simplify: iters left: 4 (36 enodes) 1543751825.672 * * [misc]simplify: iters left: 3 (59 enodes) 1543751825.695 * * [misc]simplify: iters left: 2 (151 enodes) 1543751825.782 * * [misc]simplify: iters left: 1 (498 enodes) 1543751826.630 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1543751826.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1543751826.631 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1543751826.631 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1543751826.631 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1543751826.631 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751826.634 * * [misc]simplify: iters left: 6 (19 enodes) 1543751826.644 * * [misc]simplify: iters left: 5 (36 enodes) 1543751826.668 * * [misc]simplify: iters left: 4 (112 enodes) 1543751826.778 * * [misc]simplify: iters left: 3 (434 enodes) 1543751827.520 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1543751827.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1543751827.520 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1543751827.521 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (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)))))) 1543751827.523 * * [misc]simplify: iters left: 6 (17 enodes) 1543751827.532 * * [misc]simplify: iters left: 5 (35 enodes) 1543751827.554 * * [misc]simplify: iters left: 4 (92 enodes) 1543751827.618 * * [misc]simplify: iters left: 3 (254 enodes) 1543751828.048 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.049 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1543751828.049 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1543751828.049 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1543751828.049 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1543751828.049 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1543751828.049 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751828.051 * * [misc]simplify: iters left: 6 (15 enodes) 1543751828.054 * * [misc]simplify: iters left: 5 (21 enodes) 1543751828.058 * * [misc]simplify: iters left: 4 (24 enodes) 1543751828.063 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.063 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.064 * * [misc]simplify: iters left: 6 (15 enodes) 1543751828.067 * * [misc]simplify: iters left: 5 (19 enodes) 1543751828.070 * * [misc]simplify: iters left: 4 (20 enodes) 1543751828.074 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.074 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1543751828.074 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.075 * * [misc]simplify: iters left: 6 (14 enodes) 1543751828.077 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.081 * * [misc]simplify: iters left: 4 (21 enodes) 1543751828.090 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.090 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.090 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.092 * * [misc]simplify: iters left: 6 (15 enodes) 1543751828.098 * * [misc]simplify: iters left: 5 (19 enodes) 1543751828.104 * * [misc]simplify: iters left: 4 (20 enodes) 1543751828.112 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.112 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1543751828.112 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751828.113 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.119 * * [misc]simplify: iters left: 5 (20 enodes) 1543751828.126 * * [misc]simplify: iters left: 4 (27 enodes) 1543751828.136 * * [misc]simplify: iters left: 3 (39 enodes) 1543751828.149 * * [misc]simplify: iters left: 2 (44 enodes) 1543751828.161 * * [misc]simplify: iters left: 1 (51 enodes) 1543751828.183 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1543751828.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751828.184 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751828.185 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.190 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.196 * * [misc]simplify: iters left: 4 (21 enodes) 1543751828.203 * * [misc]simplify: iters left: 3 (23 enodes) 1543751828.212 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751828.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751828.212 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1543751828.213 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751828.214 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.219 * * [misc]simplify: iters left: 5 (20 enodes) 1543751828.226 * * [misc]simplify: iters left: 4 (27 enodes) 1543751828.236 * * [misc]simplify: iters left: 3 (39 enodes) 1543751828.249 * * [misc]simplify: iters left: 2 (44 enodes) 1543751828.261 * * [misc]simplify: iters left: 1 (51 enodes) 1543751828.281 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1543751828.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751828.282 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751828.283 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.288 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.294 * * [misc]simplify: iters left: 4 (21 enodes) 1543751828.301 * * [misc]simplify: iters left: 3 (23 enodes) 1543751828.311 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751828.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751828.311 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1543751828.312 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751828.313 * * [misc]simplify: iters left: 6 (14 enodes) 1543751828.319 * * [misc]simplify: iters left: 5 (21 enodes) 1543751828.327 * * [misc]simplify: iters left: 4 (31 enodes) 1543751828.339 * * [misc]simplify: iters left: 3 (43 enodes) 1543751828.352 * * [misc]simplify: iters left: 2 (48 enodes) 1543751828.366 * * [misc]simplify: iters left: 1 (55 enodes) 1543751828.388 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1543751828.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751828.389 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751828.390 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.396 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.402 * * [misc]simplify: iters left: 4 (22 enodes) 1543751828.409 * * [misc]simplify: iters left: 3 (24 enodes) 1543751828.419 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751828.419 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751828.419 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1543751828.419 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751828.421 * * [misc]simplify: iters left: 6 (17 enodes) 1543751828.429 * * [misc]simplify: iters left: 5 (29 enodes) 1543751828.442 * * [misc]simplify: iters left: 4 (50 enodes) 1543751828.463 * * [misc]simplify: iters left: 3 (73 enodes) 1543751828.492 * * [misc]simplify: iters left: 2 (103 enodes) 1543751828.529 * * [misc]simplify: iters left: 1 (127 enodes) 1543751828.600 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1543751828.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.601 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.602 * * [misc]simplify: iters left: 6 (16 enodes) 1543751828.609 * * [misc]simplify: iters left: 5 (22 enodes) 1543751828.617 * * [misc]simplify: iters left: 4 (26 enodes) 1543751828.625 * * [misc]simplify: iters left: 3 (28 enodes) 1543751828.636 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751828.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751828.636 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1543751828.636 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.638 * * [misc]simplify: iters left: 6 (16 enodes) 1543751828.645 * * [misc]simplify: iters left: 5 (24 enodes) 1543751828.654 * * [misc]simplify: iters left: 4 (34 enodes) 1543751828.666 * * [misc]simplify: iters left: 3 (46 enodes) 1543751828.680 * * [misc]simplify: iters left: 2 (51 enodes) 1543751828.694 * * [misc]simplify: iters left: 1 (58 enodes) 1543751828.719 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1543751828.719 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.720 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.721 * * [misc]simplify: iters left: 6 (16 enodes) 1543751828.727 * * [misc]simplify: iters left: 5 (22 enodes) 1543751828.734 * * [misc]simplify: iters left: 4 (26 enodes) 1543751828.743 * * [misc]simplify: iters left: 3 (28 enodes) 1543751828.753 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751828.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751828.754 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1543751828.754 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1543751828.755 * * [misc]simplify: iters left: 6 (10 enodes) 1543751828.759 * * [misc]simplify: iters left: 5 (17 enodes) 1543751828.767 * * [misc]simplify: iters left: 4 (28 enodes) 1543751828.775 * * [misc]simplify: iters left: 3 (33 enodes) 1543751828.785 * * [misc]simplify: iters left: 2 (50 enodes) 1543751828.803 * * [misc]simplify: iters left: 1 (65 enodes) 1543751828.815 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1543751828.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751828.815 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751828.816 * * [misc]simplify: iters left: 6 (15 enodes) 1543751828.819 * * [misc]simplify: iters left: 5 (21 enodes) 1543751828.824 * * [misc]simplify: iters left: 4 (25 enodes) 1543751828.828 * * [misc]simplify: iters left: 3 (27 enodes) 1543751828.833 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1543751828.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1543751828.833 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1543751828.833 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751828.834 * * [misc]simplify: iters left: 6 (12 enodes) 1543751828.836 * * [misc]simplify: iters left: 5 (17 enodes) 1543751828.839 * * [misc]simplify: iters left: 4 (20 enodes) 1543751828.842 * * [misc]simplify: iters left: 3 (22 enodes) 1543751828.846 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1543751828.846 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751828.846 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751828.847 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.849 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.852 * * [misc]simplify: iters left: 4 (21 enodes) 1543751828.856 * * [misc]simplify: iters left: 3 (23 enodes) 1543751828.865 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751828.865 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751828.865 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1543751828.865 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751828.866 * * [misc]simplify: iters left: 6 (12 enodes) 1543751828.871 * * [misc]simplify: iters left: 5 (17 enodes) 1543751828.877 * * [misc]simplify: iters left: 4 (20 enodes) 1543751828.883 * * [misc]simplify: iters left: 3 (22 enodes) 1543751828.890 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1543751828.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751828.891 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751828.892 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.897 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.904 * * [misc]simplify: iters left: 4 (21 enodes) 1543751828.911 * * [misc]simplify: iters left: 3 (23 enodes) 1543751828.920 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751828.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751828.920 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1543751828.920 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751828.922 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.924 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.927 * * [misc]simplify: iters left: 4 (24 enodes) 1543751828.931 * * [misc]simplify: iters left: 3 (26 enodes) 1543751828.935 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1543751828.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751828.936 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751828.936 * * [misc]simplify: iters left: 6 (13 enodes) 1543751828.939 * * [misc]simplify: iters left: 5 (18 enodes) 1543751828.942 * * [misc]simplify: iters left: 4 (22 enodes) 1543751828.945 * * [misc]simplify: iters left: 3 (24 enodes) 1543751828.950 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751828.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751828.950 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1543751828.950 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751828.952 * * [misc]simplify: iters left: 6 (16 enodes) 1543751828.955 * * [misc]simplify: iters left: 5 (24 enodes) 1543751828.959 * * [misc]simplify: iters left: 4 (32 enodes) 1543751828.965 * * [misc]simplify: iters left: 3 (41 enodes) 1543751828.972 * * [misc]simplify: iters left: 2 (49 enodes) 1543751828.978 * * [misc]simplify: iters left: 1 (51 enodes) 1543751828.992 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751828.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751828.992 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751828.993 * * [misc]simplify: iters left: 6 (16 enodes) 1543751828.996 * * [misc]simplify: iters left: 5 (22 enodes) 1543751829.004 * * [misc]simplify: iters left: 4 (26 enodes) 1543751829.012 * * [misc]simplify: iters left: 3 (28 enodes) 1543751829.023 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751829.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751829.023 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1543751829.023 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.025 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.031 * * [misc]simplify: iters left: 5 (21 enodes) 1543751829.038 * * [misc]simplify: iters left: 4 (27 enodes) 1543751829.046 * * [misc]simplify: iters left: 3 (29 enodes) 1543751829.057 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1543751829.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.057 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.059 * * [misc]simplify: iters left: 6 (16 enodes) 1543751829.065 * * [misc]simplify: iters left: 5 (22 enodes) 1543751829.073 * * [misc]simplify: iters left: 4 (26 enodes) 1543751829.081 * * [misc]simplify: iters left: 3 (28 enodes) 1543751829.092 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751829.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751829.092 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1543751829.092 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1543751829.093 * * [misc]simplify: iters left: 6 (9 enodes) 1543751829.097 * * [misc]simplify: iters left: 5 (14 enodes) 1543751829.103 * * [misc]simplify: iters left: 4 (21 enodes) 1543751829.109 * * [misc]simplify: iters left: 3 (23 enodes) 1543751829.114 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1543751829.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.115 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751829.118 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.124 * * [misc]simplify: iters left: 5 (21 enodes) 1543751829.131 * * [misc]simplify: iters left: 4 (25 enodes) 1543751829.139 * * [misc]simplify: iters left: 3 (27 enodes) 1543751829.150 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1543751829.150 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1543751829.150 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1543751829.150 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1543751829.151 * * [misc]simplify: iters left: 6 (10 enodes) 1543751829.154 * * [misc]simplify: iters left: 5 (17 enodes) 1543751829.157 * * [misc]simplify: iters left: 4 (19 enodes) 1543751829.161 * * [misc]simplify: iters left: 3 (28 enodes) 1543751829.165 * * [misc]simplify: iters left: 2 (31 enodes) 1543751829.169 * * [misc]simplify: iters left: 1 (33 enodes) 1543751829.173 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1543751829.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751829.174 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751829.174 * * [misc]simplify: iters left: 6 (12 enodes) 1543751829.177 * * [misc]simplify: iters left: 5 (17 enodes) 1543751829.180 * * [misc]simplify: iters left: 4 (20 enodes) 1543751829.186 * * [misc]simplify: iters left: 3 (22 enodes) 1543751829.195 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751829.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751829.195 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1543751829.196 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1543751829.196 * * [misc]simplify: iters left: 6 (10 enodes) 1543751829.201 * * [misc]simplify: iters left: 5 (17 enodes) 1543751829.206 * * [misc]simplify: iters left: 4 (19 enodes) 1543751829.214 * * [misc]simplify: iters left: 3 (28 enodes) 1543751829.221 * * [misc]simplify: iters left: 2 (31 enodes) 1543751829.232 * * [misc]simplify: iters left: 1 (33 enodes) 1543751829.241 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1543751829.241 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751829.241 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751829.242 * * [misc]simplify: iters left: 6 (12 enodes) 1543751829.247 * * [misc]simplify: iters left: 5 (17 enodes) 1543751829.253 * * [misc]simplify: iters left: 4 (20 enodes) 1543751829.259 * * [misc]simplify: iters left: 3 (22 enodes) 1543751829.268 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751829.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751829.268 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1543751829.269 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751829.270 * * [misc]simplify: iters left: 6 (12 enodes) 1543751829.275 * * [misc]simplify: iters left: 5 (19 enodes) 1543751829.281 * * [misc]simplify: iters left: 4 (24 enodes) 1543751829.290 * * [misc]simplify: iters left: 3 (33 enodes) 1543751829.299 * * [misc]simplify: iters left: 2 (36 enodes) 1543751829.308 * * [misc]simplify: iters left: 1 (39 enodes) 1543751829.321 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1543751829.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751829.321 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751829.322 * * [misc]simplify: iters left: 6 (12 enodes) 1543751829.327 * * [misc]simplify: iters left: 5 (17 enodes) 1543751829.333 * * [misc]simplify: iters left: 4 (21 enodes) 1543751829.340 * * [misc]simplify: iters left: 3 (23 enodes) 1543751829.349 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751829.349 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751829.349 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1543751829.349 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.351 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.357 * * [misc]simplify: iters left: 5 (25 enodes) 1543751829.368 * * [misc]simplify: iters left: 4 (32 enodes) 1543751829.381 * * [misc]simplify: iters left: 3 (47 enodes) 1543751829.397 * * [misc]simplify: iters left: 2 (62 enodes) 1543751829.417 * * [misc]simplify: iters left: 1 (76 enodes) 1543751829.449 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1543751829.449 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.449 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.451 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.456 * * [misc]simplify: iters left: 5 (21 enodes) 1543751829.463 * * [misc]simplify: iters left: 4 (25 enodes) 1543751829.471 * * [misc]simplify: iters left: 3 (27 enodes) 1543751829.478 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1543751829.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1543751829.478 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1543751829.478 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.479 * * [misc]simplify: iters left: 6 (14 enodes) 1543751829.482 * * [misc]simplify: iters left: 5 (22 enodes) 1543751829.488 * * [misc]simplify: iters left: 4 (27 enodes) 1543751829.493 * * [misc]simplify: iters left: 3 (36 enodes) 1543751829.498 * * [misc]simplify: iters left: 2 (39 enodes) 1543751829.503 * * [misc]simplify: iters left: 1 (42 enodes) 1543751829.512 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1543751829.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.513 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.514 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.520 * * [misc]simplify: iters left: 5 (21 enodes) 1543751829.528 * * [misc]simplify: iters left: 4 (25 enodes) 1543751829.535 * * [misc]simplify: iters left: 3 (27 enodes) 1543751829.546 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1543751829.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1543751829.546 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1543751829.547 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1543751829.547 * * [misc]simplify: iters left: 4 (6 enodes) 1543751829.550 * * [misc]simplify: iters left: 3 (9 enodes) 1543751829.552 * [exit]simplify: Simplified to (sqrt PI) 1543751829.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.552 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751829.554 * * [misc]simplify: iters left: 6 (14 enodes) 1543751829.559 * * [misc]simplify: iters left: 5 (20 enodes) 1543751829.566 * * [misc]simplify: iters left: 4 (24 enodes) 1543751829.574 * * [misc]simplify: iters left: 3 (26 enodes) 1543751829.584 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751829.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.584 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1543751829.585 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1543751829.585 * * [misc]simplify: iters left: 3 (5 enodes) 1543751829.588 * * [misc]simplify: iters left: 2 (8 enodes) 1543751829.591 * * [misc]simplify: iters left: 1 (10 enodes) 1543751829.593 * [exit]simplify: Simplified to (sqrt PI) 1543751829.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.593 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751829.594 * * [misc]simplify: iters left: 6 (14 enodes) 1543751829.600 * * [misc]simplify: iters left: 5 (20 enodes) 1543751829.609 * * [misc]simplify: iters left: 4 (24 enodes) 1543751829.617 * * [misc]simplify: iters left: 3 (26 enodes) 1543751829.627 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751829.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.627 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1543751829.627 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1543751829.628 * * [misc]simplify: iters left: 3 (6 enodes) 1543751829.630 * * [misc]simplify: iters left: 2 (7 enodes) 1543751829.633 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1543751829.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.633 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1543751829.634 * * [misc]simplify: iters left: 6 (14 enodes) 1543751829.640 * * [misc]simplify: iters left: 5 (22 enodes) 1543751829.647 * * [misc]simplify: iters left: 4 (26 enodes) 1543751829.657 * * [misc]simplify: iters left: 3 (36 enodes) 1543751829.667 * * [misc]simplify: iters left: 2 (38 enodes) 1543751829.672 * * [misc]simplify: iters left: 1 (43 enodes) 1543751829.678 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1543751829.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1543751829.678 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1543751829.679 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1543751829.679 * * [misc]simplify: iters left: 6 (11 enodes) 1543751829.681 * * [misc]simplify: iters left: 5 (16 enodes) 1543751829.684 * * [misc]simplify: iters left: 4 (19 enodes) 1543751829.687 * * [misc]simplify: iters left: 3 (21 enodes) 1543751829.690 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1543751829.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1543751829.690 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1543751829.691 * * [misc]simplify: iters left: 6 (10 enodes) 1543751829.693 * * [misc]simplify: iters left: 5 (13 enodes) 1543751829.695 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1543751829.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1543751829.695 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1543751829.696 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751829.696 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.700 * * [misc]simplify: iters left: 5 (21 enodes) 1543751829.703 * * [misc]simplify: iters left: 4 (24 enodes) 1543751829.709 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.709 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.709 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.710 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.713 * * [misc]simplify: iters left: 5 (19 enodes) 1543751829.716 * * [misc]simplify: iters left: 4 (20 enodes) 1543751829.720 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.720 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1543751829.720 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.721 * * [misc]simplify: iters left: 6 (14 enodes) 1543751829.723 * * [misc]simplify: iters left: 5 (18 enodes) 1543751829.726 * * [misc]simplify: iters left: 4 (21 enodes) 1543751829.730 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.730 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.731 * * [misc]simplify: iters left: 6 (15 enodes) 1543751829.734 * * [misc]simplify: iters left: 5 (19 enodes) 1543751829.738 * * [misc]simplify: iters left: 4 (20 enodes) 1543751829.746 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751829.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751829.746 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1543751829.746 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751829.748 * * [misc]simplify: iters left: 6 (13 enodes) 1543751829.753 * * [misc]simplify: iters left: 5 (20 enodes) 1543751829.757 * * [misc]simplify: iters left: 4 (27 enodes) 1543751829.763 * * [misc]simplify: iters left: 3 (39 enodes) 1543751829.769 * * [misc]simplify: iters left: 2 (44 enodes) 1543751829.775 * * [misc]simplify: iters left: 1 (51 enodes) 1543751829.788 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1543751829.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751829.788 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751829.789 * * [misc]simplify: iters left: 6 (13 enodes) 1543751829.792 * * [misc]simplify: iters left: 5 (18 enodes) 1543751829.795 * * [misc]simplify: iters left: 4 (21 enodes) 1543751829.798 * * [misc]simplify: iters left: 3 (23 enodes) 1543751829.803 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751829.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751829.803 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1543751829.803 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751829.804 * * [misc]simplify: iters left: 6 (13 enodes) 1543751829.807 * * [misc]simplify: iters left: 5 (20 enodes) 1543751829.810 * * [misc]simplify: iters left: 4 (27 enodes) 1543751829.820 * * [misc]simplify: iters left: 3 (39 enodes) 1543751829.832 * * [misc]simplify: iters left: 2 (44 enodes) 1543751829.845 * * [misc]simplify: iters left: 1 (51 enodes) 1543751829.865 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1543751829.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751829.865 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751829.866 * * [misc]simplify: iters left: 6 (13 enodes) 1543751829.871 * * [misc]simplify: iters left: 5 (18 enodes) 1543751829.878 * * [misc]simplify: iters left: 4 (21 enodes) 1543751829.884 * * [misc]simplify: iters left: 3 (23 enodes) 1543751829.895 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751829.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751829.895 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1543751829.896 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751829.897 * * [misc]simplify: iters left: 6 (14 enodes) 1543751829.903 * * [misc]simplify: iters left: 5 (21 enodes) 1543751829.912 * * [misc]simplify: iters left: 4 (31 enodes) 1543751829.923 * * [misc]simplify: iters left: 3 (43 enodes) 1543751829.936 * * [misc]simplify: iters left: 2 (48 enodes) 1543751829.950 * * [misc]simplify: iters left: 1 (55 enodes) 1543751829.972 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1543751829.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751829.972 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751829.973 * * [misc]simplify: iters left: 6 (13 enodes) 1543751829.979 * * [misc]simplify: iters left: 5 (18 enodes) 1543751829.985 * * [misc]simplify: iters left: 4 (22 enodes) 1543751829.992 * * [misc]simplify: iters left: 3 (24 enodes) 1543751830.001 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751830.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751830.002 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1543751830.002 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751830.004 * * [misc]simplify: iters left: 6 (17 enodes) 1543751830.011 * * [misc]simplify: iters left: 5 (29 enodes) 1543751830.019 * * [misc]simplify: iters left: 4 (50 enodes) 1543751830.029 * * [misc]simplify: iters left: 3 (73 enodes) 1543751830.048 * * [misc]simplify: iters left: 2 (103 enodes) 1543751830.084 * * [misc]simplify: iters left: 1 (127 enodes) 1543751830.154 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1543751830.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751830.155 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.156 * * [misc]simplify: iters left: 6 (16 enodes) 1543751830.163 * * [misc]simplify: iters left: 5 (22 enodes) 1543751830.170 * * [misc]simplify: iters left: 4 (26 enodes) 1543751830.178 * * [misc]simplify: iters left: 3 (28 enodes) 1543751830.189 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751830.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751830.189 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1543751830.189 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.191 * * [misc]simplify: iters left: 6 (16 enodes) 1543751830.197 * * [misc]simplify: iters left: 5 (24 enodes) 1543751830.207 * * [misc]simplify: iters left: 4 (34 enodes) 1543751830.220 * * [misc]simplify: iters left: 3 (46 enodes) 1543751830.234 * * [misc]simplify: iters left: 2 (51 enodes) 1543751830.248 * * [misc]simplify: iters left: 1 (58 enodes) 1543751830.272 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1543751830.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751830.273 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.274 * * [misc]simplify: iters left: 6 (16 enodes) 1543751830.280 * * [misc]simplify: iters left: 5 (22 enodes) 1543751830.288 * * [misc]simplify: iters left: 4 (26 enodes) 1543751830.296 * * [misc]simplify: iters left: 3 (28 enodes) 1543751830.306 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751830.307 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751830.307 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1543751830.307 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1543751830.308 * * [misc]simplify: iters left: 6 (10 enodes) 1543751830.312 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.321 * * [misc]simplify: iters left: 4 (28 enodes) 1543751830.329 * * [misc]simplify: iters left: 3 (33 enodes) 1543751830.339 * * [misc]simplify: iters left: 2 (50 enodes) 1543751830.357 * * [misc]simplify: iters left: 1 (65 enodes) 1543751830.381 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1543751830.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751830.381 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751830.383 * * [misc]simplify: iters left: 6 (15 enodes) 1543751830.391 * * [misc]simplify: iters left: 5 (21 enodes) 1543751830.398 * * [misc]simplify: iters left: 4 (25 enodes) 1543751830.406 * * [misc]simplify: iters left: 3 (27 enodes) 1543751830.412 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1543751830.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1543751830.412 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1543751830.412 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751830.413 * * [misc]simplify: iters left: 6 (12 enodes) 1543751830.415 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.418 * * [misc]simplify: iters left: 4 (20 enodes) 1543751830.421 * * [misc]simplify: iters left: 3 (22 enodes) 1543751830.425 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1543751830.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751830.425 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751830.426 * * [misc]simplify: iters left: 6 (13 enodes) 1543751830.429 * * [misc]simplify: iters left: 5 (18 enodes) 1543751830.435 * * [misc]simplify: iters left: 4 (21 enodes) 1543751830.442 * * [misc]simplify: iters left: 3 (23 enodes) 1543751830.452 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751830.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751830.452 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1543751830.452 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751830.452 * * [misc]simplify: iters left: 6 (12 enodes) 1543751830.455 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.458 * * [misc]simplify: iters left: 4 (20 enodes) 1543751830.461 * * [misc]simplify: iters left: 3 (22 enodes) 1543751830.464 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1543751830.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751830.465 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751830.466 * * [misc]simplify: iters left: 6 (13 enodes) 1543751830.468 * * [misc]simplify: iters left: 5 (18 enodes) 1543751830.471 * * [misc]simplify: iters left: 4 (21 enodes) 1543751830.475 * * [misc]simplify: iters left: 3 (23 enodes) 1543751830.481 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751830.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751830.481 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1543751830.481 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751830.482 * * [misc]simplify: iters left: 6 (13 enodes) 1543751830.484 * * [misc]simplify: iters left: 5 (18 enodes) 1543751830.488 * * [misc]simplify: iters left: 4 (24 enodes) 1543751830.491 * * [misc]simplify: iters left: 3 (26 enodes) 1543751830.496 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1543751830.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751830.496 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751830.498 * * [misc]simplify: iters left: 6 (13 enodes) 1543751830.503 * * [misc]simplify: iters left: 5 (18 enodes) 1543751830.506 * * [misc]simplify: iters left: 4 (22 enodes) 1543751830.509 * * [misc]simplify: iters left: 3 (24 enodes) 1543751830.514 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751830.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751830.514 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1543751830.514 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751830.515 * * [misc]simplify: iters left: 6 (16 enodes) 1543751830.519 * * [misc]simplify: iters left: 5 (24 enodes) 1543751830.523 * * [misc]simplify: iters left: 4 (32 enodes) 1543751830.529 * * [misc]simplify: iters left: 3 (41 enodes) 1543751830.540 * * [misc]simplify: iters left: 2 (49 enodes) 1543751830.553 * * [misc]simplify: iters left: 1 (51 enodes) 1543751830.567 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751830.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751830.567 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.569 * * [misc]simplify: iters left: 6 (16 enodes) 1543751830.572 * * [misc]simplify: iters left: 5 (22 enodes) 1543751830.576 * * [misc]simplify: iters left: 4 (26 enodes) 1543751830.579 * * [misc]simplify: iters left: 3 (28 enodes) 1543751830.585 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751830.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751830.585 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1543751830.585 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.586 * * [misc]simplify: iters left: 6 (15 enodes) 1543751830.589 * * [misc]simplify: iters left: 5 (21 enodes) 1543751830.592 * * [misc]simplify: iters left: 4 (27 enodes) 1543751830.597 * * [misc]simplify: iters left: 3 (29 enodes) 1543751830.607 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1543751830.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751830.608 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.609 * * [misc]simplify: iters left: 6 (16 enodes) 1543751830.615 * * [misc]simplify: iters left: 5 (22 enodes) 1543751830.623 * * [misc]simplify: iters left: 4 (26 enodes) 1543751830.632 * * [misc]simplify: iters left: 3 (28 enodes) 1543751830.643 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751830.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751830.643 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1543751830.643 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1543751830.644 * * [misc]simplify: iters left: 6 (9 enodes) 1543751830.647 * * [misc]simplify: iters left: 5 (14 enodes) 1543751830.654 * * [misc]simplify: iters left: 4 (21 enodes) 1543751830.657 * * [misc]simplify: iters left: 3 (23 enodes) 1543751830.659 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1543751830.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751830.659 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751830.660 * * [misc]simplify: iters left: 6 (15 enodes) 1543751830.663 * * [misc]simplify: iters left: 5 (21 enodes) 1543751830.666 * * [misc]simplify: iters left: 4 (25 enodes) 1543751830.670 * * [misc]simplify: iters left: 3 (27 enodes) 1543751830.676 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1543751830.676 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1543751830.676 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1543751830.676 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1543751830.677 * * [misc]simplify: iters left: 6 (10 enodes) 1543751830.679 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.681 * * [misc]simplify: iters left: 4 (19 enodes) 1543751830.685 * * [misc]simplify: iters left: 3 (28 enodes) 1543751830.689 * * [misc]simplify: iters left: 2 (31 enodes) 1543751830.693 * * [misc]simplify: iters left: 1 (33 enodes) 1543751830.697 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1543751830.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751830.698 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751830.698 * * [misc]simplify: iters left: 6 (12 enodes) 1543751830.701 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.704 * * [misc]simplify: iters left: 4 (20 enodes) 1543751830.710 * * [misc]simplify: iters left: 3 (22 enodes) 1543751830.719 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751830.719 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751830.719 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1543751830.719 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1543751830.720 * * [misc]simplify: iters left: 6 (10 enodes) 1543751830.725 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.730 * * [misc]simplify: iters left: 4 (19 enodes) 1543751830.740 * * [misc]simplify: iters left: 3 (28 enodes) 1543751830.748 * * [misc]simplify: iters left: 2 (31 enodes) 1543751830.753 * * [misc]simplify: iters left: 1 (33 enodes) 1543751830.757 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1543751830.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751830.758 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751830.758 * * [misc]simplify: iters left: 6 (12 enodes) 1543751830.761 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.764 * * [misc]simplify: iters left: 4 (20 enodes) 1543751830.767 * * [misc]simplify: iters left: 3 (22 enodes) 1543751830.771 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751830.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751830.771 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1543751830.772 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751830.773 * * [misc]simplify: iters left: 6 (12 enodes) 1543751830.778 * * [misc]simplify: iters left: 5 (19 enodes) 1543751830.784 * * [misc]simplify: iters left: 4 (24 enodes) 1543751830.793 * * [misc]simplify: iters left: 3 (33 enodes) 1543751830.803 * * [misc]simplify: iters left: 2 (36 enodes) 1543751830.812 * * [misc]simplify: iters left: 1 (39 enodes) 1543751830.825 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1543751830.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751830.825 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751830.826 * * [misc]simplify: iters left: 6 (12 enodes) 1543751830.831 * * [misc]simplify: iters left: 5 (17 enodes) 1543751830.837 * * [misc]simplify: iters left: 4 (21 enodes) 1543751830.844 * * [misc]simplify: iters left: 3 (23 enodes) 1543751830.853 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751830.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751830.853 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1543751830.853 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751830.857 * * [misc]simplify: iters left: 6 (15 enodes) 1543751830.863 * * [misc]simplify: iters left: 5 (25 enodes) 1543751830.872 * * [misc]simplify: iters left: 4 (32 enodes) 1543751830.885 * * [misc]simplify: iters left: 3 (47 enodes) 1543751830.902 * * [misc]simplify: iters left: 2 (62 enodes) 1543751830.913 * * [misc]simplify: iters left: 1 (76 enodes) 1543751830.928 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1543751830.928 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751830.929 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.930 * * [misc]simplify: iters left: 6 (15 enodes) 1543751830.933 * * [misc]simplify: iters left: 5 (21 enodes) 1543751830.941 * * [misc]simplify: iters left: 4 (25 enodes) 1543751830.949 * * [misc]simplify: iters left: 3 (27 enodes) 1543751830.959 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1543751830.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1543751830.959 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1543751830.959 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751830.963 * * [misc]simplify: iters left: 6 (14 enodes) 1543751830.969 * * [misc]simplify: iters left: 5 (22 enodes) 1543751830.976 * * [misc]simplify: iters left: 4 (27 enodes) 1543751830.986 * * [misc]simplify: iters left: 3 (36 enodes) 1543751830.992 * * [misc]simplify: iters left: 2 (39 enodes) 1543751830.997 * * [misc]simplify: iters left: 1 (42 enodes) 1543751831.004 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1543751831.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751831.004 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751831.005 * * [misc]simplify: iters left: 6 (15 enodes) 1543751831.008 * * [misc]simplify: iters left: 5 (21 enodes) 1543751831.011 * * [misc]simplify: iters left: 4 (25 enodes) 1543751831.015 * * [misc]simplify: iters left: 3 (27 enodes) 1543751831.020 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1543751831.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1543751831.020 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1543751831.020 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1543751831.021 * * [misc]simplify: iters left: 4 (6 enodes) 1543751831.022 * * [misc]simplify: iters left: 3 (9 enodes) 1543751831.023 * [exit]simplify: Simplified to (sqrt PI) 1543751831.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.023 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751831.024 * * [misc]simplify: iters left: 6 (14 enodes) 1543751831.027 * * [misc]simplify: iters left: 5 (20 enodes) 1543751831.033 * * [misc]simplify: iters left: 4 (24 enodes) 1543751831.040 * * [misc]simplify: iters left: 3 (26 enodes) 1543751831.051 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751831.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.051 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1543751831.051 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1543751831.052 * * [misc]simplify: iters left: 3 (5 enodes) 1543751831.056 * * [misc]simplify: iters left: 2 (8 enodes) 1543751831.059 * * [misc]simplify: iters left: 1 (10 enodes) 1543751831.061 * [exit]simplify: Simplified to (sqrt PI) 1543751831.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.062 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751831.063 * * [misc]simplify: iters left: 6 (14 enodes) 1543751831.069 * * [misc]simplify: iters left: 5 (20 enodes) 1543751831.075 * * [misc]simplify: iters left: 4 (24 enodes) 1543751831.081 * * [misc]simplify: iters left: 3 (26 enodes) 1543751831.086 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751831.086 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.086 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1543751831.086 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1543751831.087 * * [misc]simplify: iters left: 3 (6 enodes) 1543751831.088 * * [misc]simplify: iters left: 2 (7 enodes) 1543751831.089 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1543751831.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.089 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1543751831.090 * * [misc]simplify: iters left: 6 (14 enodes) 1543751831.093 * * [misc]simplify: iters left: 5 (22 enodes) 1543751831.096 * * [misc]simplify: iters left: 4 (26 enodes) 1543751831.101 * * [misc]simplify: iters left: 3 (36 enodes) 1543751831.106 * * [misc]simplify: iters left: 2 (38 enodes) 1543751831.111 * * [misc]simplify: iters left: 1 (43 enodes) 1543751831.117 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1543751831.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1543751831.117 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1543751831.117 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1543751831.118 * * [misc]simplify: iters left: 6 (11 enodes) 1543751831.121 * * [misc]simplify: iters left: 5 (16 enodes) 1543751831.126 * * [misc]simplify: iters left: 4 (19 enodes) 1543751831.131 * * [misc]simplify: iters left: 3 (21 enodes) 1543751831.138 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1543751831.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1543751831.139 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1543751831.140 * * [misc]simplify: iters left: 6 (10 enodes) 1543751831.144 * * [misc]simplify: iters left: 5 (13 enodes) 1543751831.150 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1543751831.150 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1543751831.150 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1543751831.150 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.154 * * [misc]simplify: iters left: 6 (17 enodes) 1543751831.161 * * [misc]simplify: iters left: 5 (26 enodes) 1543751831.167 * * [misc]simplify: iters left: 4 (38 enodes) 1543751831.173 * * [misc]simplify: iters left: 3 (41 enodes) 1543751831.180 * * [misc]simplify: iters left: 2 (44 enodes) 1543751831.189 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751831.189 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751831.190 * * [misc]simplify: iters left: 6 (15 enodes) 1543751831.193 * * [misc]simplify: iters left: 5 (18 enodes) 1543751831.196 * * [misc]simplify: iters left: 4 (21 enodes) 1543751831.200 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751831.200 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1543751831.200 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1543751831.200 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751831.201 * * [misc]simplify: iters left: 6 (16 enodes) 1543751831.205 * * [misc]simplify: iters left: 5 (21 enodes) 1543751831.212 * * [misc]simplify: iters left: 4 (26 enodes) 1543751831.220 * * [misc]simplify: iters left: 3 (27 enodes) 1543751831.231 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751831.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751831.231 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751831.233 * * [misc]simplify: iters left: 6 (15 enodes) 1543751831.238 * * [misc]simplify: iters left: 5 (18 enodes) 1543751831.246 * * [misc]simplify: iters left: 4 (21 enodes) 1543751831.251 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751831.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1543751831.251 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1543751831.251 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751831.252 * * [misc]simplify: iters left: 6 (17 enodes) 1543751831.256 * * [misc]simplify: iters left: 5 (27 enodes) 1543751831.262 * * [misc]simplify: iters left: 4 (45 enodes) 1543751831.273 * * [misc]simplify: iters left: 3 (86 enodes) 1543751831.300 * * [misc]simplify: iters left: 2 (137 enodes) 1543751831.331 * * [misc]simplify: iters left: 1 (166 enodes) 1543751831.402 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751831.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751831.402 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751831.404 * * [misc]simplify: iters left: 6 (16 enodes) 1543751831.407 * * [misc]simplify: iters left: 5 (22 enodes) 1543751831.412 * * [misc]simplify: iters left: 4 (26 enodes) 1543751831.416 * * [misc]simplify: iters left: 3 (28 enodes) 1543751831.421 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751831.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751831.421 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1543751831.422 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751831.423 * * [misc]simplify: iters left: 6 (17 enodes) 1543751831.426 * * [misc]simplify: iters left: 5 (27 enodes) 1543751831.432 * * [misc]simplify: iters left: 4 (45 enodes) 1543751831.446 * * [misc]simplify: iters left: 3 (86 enodes) 1543751831.485 * * [misc]simplify: iters left: 2 (137 enodes) 1543751831.547 * * [misc]simplify: iters left: 1 (166 enodes) 1543751831.633 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751831.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751831.633 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751831.635 * * [misc]simplify: iters left: 6 (16 enodes) 1543751831.638 * * [misc]simplify: iters left: 5 (22 enodes) 1543751831.642 * * [misc]simplify: iters left: 4 (26 enodes) 1543751831.646 * * [misc]simplify: iters left: 3 (28 enodes) 1543751831.650 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751831.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751831.651 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1543751831.651 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751831.652 * * [misc]simplify: iters left: 6 (16 enodes) 1543751831.655 * * [misc]simplify: iters left: 5 (24 enodes) 1543751831.661 * * [misc]simplify: iters left: 4 (42 enodes) 1543751831.682 * * [misc]simplify: iters left: 3 (83 enodes) 1543751831.720 * * [misc]simplify: iters left: 2 (134 enodes) 1543751831.781 * * [misc]simplify: iters left: 1 (163 enodes) 1543751831.824 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751831.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751831.824 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751831.825 * * [misc]simplify: iters left: 6 (13 enodes) 1543751831.827 * * [misc]simplify: iters left: 5 (17 enodes) 1543751831.830 * * [misc]simplify: iters left: 4 (23 enodes) 1543751831.834 * * [misc]simplify: iters left: 3 (25 enodes) 1543751831.839 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751831.839 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751831.839 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1543751831.839 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751831.841 * * [misc]simplify: iters left: 6 (19 enodes) 1543751831.849 * * [misc]simplify: iters left: 5 (32 enodes) 1543751831.865 * * [misc]simplify: iters left: 4 (66 enodes) 1543751831.899 * * [misc]simplify: iters left: 3 (135 enodes) 1543751831.985 * * [misc]simplify: iters left: 2 (266 enodes) 1543751832.161 * * [misc]simplify: iters left: 1 (376 enodes) 1543751832.456 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1543751832.456 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751832.456 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751832.457 * * [misc]simplify: iters left: 6 (16 enodes) 1543751832.460 * * [misc]simplify: iters left: 5 (21 enodes) 1543751832.464 * * [misc]simplify: iters left: 4 (27 enodes) 1543751832.468 * * [misc]simplify: iters left: 3 (29 enodes) 1543751832.477 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1543751832.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1543751832.477 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1543751832.477 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751832.479 * * [misc]simplify: iters left: 6 (18 enodes) 1543751832.486 * * [misc]simplify: iters left: 5 (27 enodes) 1543751832.498 * * [misc]simplify: iters left: 4 (45 enodes) 1543751832.516 * * [misc]simplify: iters left: 3 (86 enodes) 1543751832.536 * * [misc]simplify: iters left: 2 (137 enodes) 1543751832.571 * * [misc]simplify: iters left: 1 (166 enodes) 1543751832.627 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751832.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751832.628 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751832.629 * * [misc]simplify: iters left: 6 (16 enodes) 1543751832.635 * * [misc]simplify: iters left: 5 (21 enodes) 1543751832.643 * * [misc]simplify: iters left: 4 (27 enodes) 1543751832.649 * * [misc]simplify: iters left: 3 (29 enodes) 1543751832.655 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1543751832.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1543751832.655 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1543751832.655 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1543751832.656 * * [misc]simplify: iters left: 6 (15 enodes) 1543751832.659 * * [misc]simplify: iters left: 5 (25 enodes) 1543751832.666 * * [misc]simplify: iters left: 4 (46 enodes) 1543751832.675 * * [misc]simplify: iters left: 3 (70 enodes) 1543751832.710 * * [misc]simplify: iters left: 2 (144 enodes) 1543751832.801 * * [misc]simplify: iters left: 1 (214 enodes) 1543751832.865 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1543751832.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751832.866 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751832.867 * * [misc]simplify: iters left: 6 (15 enodes) 1543751832.873 * * [misc]simplify: iters left: 5 (20 enodes) 1543751832.880 * * [misc]simplify: iters left: 4 (26 enodes) 1543751832.888 * * [misc]simplify: iters left: 3 (28 enodes) 1543751832.898 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751832.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751832.898 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1543751832.899 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751832.901 * * [misc]simplify: iters left: 6 (16 enodes) 1543751832.907 * * [misc]simplify: iters left: 5 (24 enodes) 1543751832.916 * * [misc]simplify: iters left: 4 (34 enodes) 1543751832.928 * * [misc]simplify: iters left: 3 (46 enodes) 1543751832.944 * * [misc]simplify: iters left: 2 (58 enodes) 1543751832.962 * * [misc]simplify: iters left: 1 (64 enodes) 1543751832.992 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1543751832.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751832.992 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751832.995 * * [misc]simplify: iters left: 6 (16 enodes) 1543751833.000 * * [misc]simplify: iters left: 5 (22 enodes) 1543751833.004 * * [misc]simplify: iters left: 4 (26 enodes) 1543751833.008 * * [misc]simplify: iters left: 3 (28 enodes) 1543751833.012 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751833.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751833.012 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1543751833.013 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751833.014 * * [misc]simplify: iters left: 6 (16 enodes) 1543751833.017 * * [misc]simplify: iters left: 5 (24 enodes) 1543751833.021 * * [misc]simplify: iters left: 4 (34 enodes) 1543751833.028 * * [misc]simplify: iters left: 3 (46 enodes) 1543751833.041 * * [misc]simplify: iters left: 2 (58 enodes) 1543751833.057 * * [misc]simplify: iters left: 1 (64 enodes) 1543751833.084 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1543751833.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751833.085 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751833.086 * * [misc]simplify: iters left: 6 (16 enodes) 1543751833.092 * * [misc]simplify: iters left: 5 (22 enodes) 1543751833.098 * * [misc]simplify: iters left: 4 (26 enodes) 1543751833.105 * * [misc]simplify: iters left: 3 (28 enodes) 1543751833.114 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751833.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751833.115 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1543751833.115 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751833.116 * * [misc]simplify: iters left: 6 (15 enodes) 1543751833.121 * * [misc]simplify: iters left: 5 (21 enodes) 1543751833.129 * * [misc]simplify: iters left: 4 (31 enodes) 1543751833.139 * * [misc]simplify: iters left: 3 (43 enodes) 1543751833.151 * * [misc]simplify: iters left: 2 (55 enodes) 1543751833.167 * * [misc]simplify: iters left: 1 (61 enodes) 1543751833.192 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751833.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751833.193 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751833.194 * * [misc]simplify: iters left: 6 (13 enodes) 1543751833.198 * * [misc]simplify: iters left: 5 (17 enodes) 1543751833.204 * * [misc]simplify: iters left: 4 (23 enodes) 1543751833.210 * * [misc]simplify: iters left: 3 (25 enodes) 1543751833.218 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751833.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751833.218 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1543751833.218 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751833.220 * * [misc]simplify: iters left: 6 (18 enodes) 1543751833.226 * * [misc]simplify: iters left: 5 (27 enodes) 1543751833.237 * * [misc]simplify: iters left: 4 (41 enodes) 1543751833.254 * * [misc]simplify: iters left: 3 (67 enodes) 1543751833.282 * * [misc]simplify: iters left: 2 (106 enodes) 1543751833.328 * * [misc]simplify: iters left: 1 (137 enodes) 1543751833.386 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1543751833.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751833.386 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751833.387 * * [misc]simplify: iters left: 6 (16 enodes) 1543751833.390 * * [misc]simplify: iters left: 5 (21 enodes) 1543751833.394 * * [misc]simplify: iters left: 4 (27 enodes) 1543751833.400 * * [misc]simplify: iters left: 3 (29 enodes) 1543751833.405 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1543751833.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1543751833.405 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1543751833.406 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751833.407 * * [misc]simplify: iters left: 6 (17 enodes) 1543751833.410 * * [misc]simplify: iters left: 5 (24 enodes) 1543751833.415 * * [misc]simplify: iters left: 4 (34 enodes) 1543751833.421 * * [misc]simplify: iters left: 3 (46 enodes) 1543751833.433 * * [misc]simplify: iters left: 2 (58 enodes) 1543751833.451 * * [misc]simplify: iters left: 1 (64 enodes) 1543751833.482 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751833.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751833.482 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751833.484 * * [misc]simplify: iters left: 6 (16 enodes) 1543751833.487 * * [misc]simplify: iters left: 5 (21 enodes) 1543751833.491 * * [misc]simplify: iters left: 4 (27 enodes) 1543751833.495 * * [misc]simplify: iters left: 3 (29 enodes) 1543751833.501 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1543751833.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1543751833.501 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1543751833.501 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1543751833.502 * * [misc]simplify: iters left: 6 (14 enodes) 1543751833.505 * * [misc]simplify: iters left: 5 (22 enodes) 1543751833.510 * * [misc]simplify: iters left: 4 (33 enodes) 1543751833.517 * * [misc]simplify: iters left: 3 (44 enodes) 1543751833.528 * * [misc]simplify: iters left: 2 (45 enodes) 1543751833.538 * * [misc]simplify: iters left: 1 (51 enodes) 1543751833.552 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751833.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751833.552 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751833.553 * * [misc]simplify: iters left: 6 (15 enodes) 1543751833.556 * * [misc]simplify: iters left: 5 (20 enodes) 1543751833.559 * * [misc]simplify: iters left: 4 (26 enodes) 1543751833.563 * * [misc]simplify: iters left: 3 (28 enodes) 1543751833.568 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751833.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751833.568 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1543751833.568 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1543751833.569 * * [misc]simplify: iters left: 6 (15 enodes) 1543751833.572 * * [misc]simplify: iters left: 5 (25 enodes) 1543751833.580 * * [misc]simplify: iters left: 4 (35 enodes) 1543751833.593 * * [misc]simplify: iters left: 3 (50 enodes) 1543751833.611 * * [misc]simplify: iters left: 2 (98 enodes) 1543751833.659 * * [misc]simplify: iters left: 1 (235 enodes) 1543751833.789 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1543751833.789 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751833.790 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751833.790 * * [misc]simplify: iters left: 6 (15 enodes) 1543751833.793 * * [misc]simplify: iters left: 5 (21 enodes) 1543751833.797 * * [misc]simplify: iters left: 4 (25 enodes) 1543751833.802 * * [misc]simplify: iters left: 3 (27 enodes) 1543751833.807 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1543751833.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1543751833.807 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1543751833.807 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1543751833.808 * * [misc]simplify: iters left: 6 (15 enodes) 1543751833.812 * * [misc]simplify: iters left: 5 (25 enodes) 1543751833.821 * * [misc]simplify: iters left: 4 (35 enodes) 1543751833.834 * * [misc]simplify: iters left: 3 (50 enodes) 1543751833.851 * * [misc]simplify: iters left: 2 (98 enodes) 1543751833.895 * * [misc]simplify: iters left: 1 (235 enodes) 1543751834.012 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1543751834.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751834.013 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751834.014 * * [misc]simplify: iters left: 6 (15 enodes) 1543751834.017 * * [misc]simplify: iters left: 5 (21 enodes) 1543751834.020 * * [misc]simplify: iters left: 4 (25 enodes) 1543751834.024 * * [misc]simplify: iters left: 3 (27 enodes) 1543751834.029 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1543751834.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1543751834.029 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1543751834.029 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751834.030 * * [misc]simplify: iters left: 6 (14 enodes) 1543751834.033 * * [misc]simplify: iters left: 5 (22 enodes) 1543751834.037 * * [misc]simplify: iters left: 4 (32 enodes) 1543751834.043 * * [misc]simplify: iters left: 3 (47 enodes) 1543751834.055 * * [misc]simplify: iters left: 2 (95 enodes) 1543751834.102 * * [misc]simplify: iters left: 1 (215 enodes) 1543751834.229 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751834.229 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751834.229 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751834.230 * * [misc]simplify: iters left: 6 (12 enodes) 1543751834.232 * * [misc]simplify: iters left: 5 (16 enodes) 1543751834.235 * * [misc]simplify: iters left: 4 (22 enodes) 1543751834.238 * * [misc]simplify: iters left: 3 (24 enodes) 1543751834.242 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751834.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751834.243 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1543751834.243 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751834.244 * * [misc]simplify: iters left: 6 (17 enodes) 1543751834.252 * * [misc]simplify: iters left: 5 (28 enodes) 1543751834.263 * * [misc]simplify: iters left: 4 (42 enodes) 1543751834.280 * * [misc]simplify: iters left: 3 (69 enodes) 1543751834.304 * * [misc]simplify: iters left: 2 (137 enodes) 1543751834.377 * * [misc]simplify: iters left: 1 (398 enodes) 1543751834.768 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751834.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751834.768 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751834.770 * * [misc]simplify: iters left: 6 (15 enodes) 1543751834.776 * * [misc]simplify: iters left: 5 (20 enodes) 1543751834.783 * * [misc]simplify: iters left: 4 (26 enodes) 1543751834.791 * * [misc]simplify: iters left: 3 (28 enodes) 1543751834.802 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751834.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751834.803 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1543751834.803 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751834.804 * * [misc]simplify: iters left: 6 (16 enodes) 1543751834.811 * * [misc]simplify: iters left: 5 (25 enodes) 1543751834.820 * * [misc]simplify: iters left: 4 (35 enodes) 1543751834.834 * * [misc]simplify: iters left: 3 (50 enodes) 1543751834.846 * * [misc]simplify: iters left: 2 (73 enodes) 1543751834.865 * * [misc]simplify: iters left: 1 (148 enodes) 1543751834.930 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751834.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751834.930 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751834.931 * * [misc]simplify: iters left: 6 (15 enodes) 1543751834.933 * * [misc]simplify: iters left: 5 (20 enodes) 1543751834.937 * * [misc]simplify: iters left: 4 (26 enodes) 1543751834.941 * * [misc]simplify: iters left: 3 (28 enodes) 1543751834.946 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751834.946 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751834.946 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1543751834.947 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1543751834.947 * * [misc]simplify: iters left: 6 (12 enodes) 1543751834.950 * * [misc]simplify: iters left: 5 (18 enodes) 1543751834.952 * * [misc]simplify: iters left: 4 (21 enodes) 1543751834.956 * * [misc]simplify: iters left: 3 (29 enodes) 1543751834.960 * * [misc]simplify: iters left: 2 (31 enodes) 1543751834.964 * * [misc]simplify: iters left: 1 (38 enodes) 1543751834.970 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751834.970 * [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)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751834.970 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751834.971 * * [misc]simplify: iters left: 6 (14 enodes) 1543751834.973 * * [misc]simplify: iters left: 5 (19 enodes) 1543751834.977 * * [misc]simplify: iters left: 4 (25 enodes) 1543751834.982 * * [misc]simplify: iters left: 3 (27 enodes) 1543751834.991 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751834.991 * [misc]simplify: Simplified (2 2) 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)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751834.992 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1543751834.992 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1543751834.995 * * [misc]simplify: iters left: 6 (11 enodes) 1543751835.000 * * [misc]simplify: iters left: 5 (17 enodes) 1543751835.008 * * [misc]simplify: iters left: 4 (26 enodes) 1543751835.015 * * [misc]simplify: iters left: 3 (28 enodes) 1543751835.022 * * [misc]simplify: iters left: 2 (33 enodes) 1543751835.032 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751835.032 * [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)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751835.032 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751835.034 * * [misc]simplify: iters left: 6 (14 enodes) 1543751835.039 * * [misc]simplify: iters left: 5 (19 enodes) 1543751835.046 * * [misc]simplify: iters left: 4 (25 enodes) 1543751835.050 * * [misc]simplify: iters left: 3 (27 enodes) 1543751835.055 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751835.055 * [misc]simplify: Simplified (2 2) 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)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751835.055 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1543751835.055 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1543751835.056 * * [misc]simplify: iters left: 6 (11 enodes) 1543751835.058 * * [misc]simplify: iters left: 5 (15 enodes) 1543751835.061 * * [misc]simplify: iters left: 4 (20 enodes) 1543751835.064 * * [misc]simplify: iters left: 3 (21 enodes) 1543751835.068 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751835.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751835.068 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1543751835.069 * * [misc]simplify: iters left: 6 (14 enodes) 1543751835.072 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.075 * * [misc]simplify: iters left: 4 (27 enodes) 1543751835.085 * * [misc]simplify: iters left: 3 (37 enodes) 1543751835.096 * * [misc]simplify: iters left: 2 (39 enodes) 1543751835.108 * * [misc]simplify: iters left: 1 (44 enodes) 1543751835.121 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751835.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1543751835.121 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1543751835.121 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1543751835.123 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.129 * * [misc]simplify: iters left: 5 (23 enodes) 1543751835.138 * * [misc]simplify: iters left: 4 (33 enodes) 1543751835.150 * * [misc]simplify: iters left: 3 (45 enodes) 1543751835.165 * * [misc]simplify: iters left: 2 (57 enodes) 1543751835.182 * * [misc]simplify: iters left: 1 (63 enodes) 1543751835.209 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751835.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1543751835.210 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1543751835.211 * * [misc]simplify: iters left: 6 (12 enodes) 1543751835.215 * * [misc]simplify: iters left: 5 (15 enodes) 1543751835.220 * * [misc]simplify: iters left: 4 (18 enodes) 1543751835.227 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1543751835.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1543751835.227 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1543751835.227 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751835.229 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.236 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.244 * * [misc]simplify: iters left: 4 (24 enodes) 1543751835.254 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751835.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751835.254 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751835.256 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.261 * * [misc]simplify: iters left: 5 (18 enodes) 1543751835.267 * * [misc]simplify: iters left: 4 (21 enodes) 1543751835.275 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751835.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1543751835.275 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1543751835.275 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751835.277 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.282 * * [misc]simplify: iters left: 5 (18 enodes) 1543751835.288 * * [misc]simplify: iters left: 4 (21 enodes) 1543751835.297 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751835.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751835.297 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751835.299 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.305 * * [misc]simplify: iters left: 5 (18 enodes) 1543751835.309 * * [misc]simplify: iters left: 4 (21 enodes) 1543751835.313 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751835.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1543751835.313 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1543751835.313 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751835.314 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.317 * * [misc]simplify: iters left: 5 (24 enodes) 1543751835.322 * * [misc]simplify: iters left: 4 (34 enodes) 1543751835.328 * * [misc]simplify: iters left: 3 (46 enodes) 1543751835.335 * * [misc]simplify: iters left: 2 (51 enodes) 1543751835.343 * * [misc]simplify: iters left: 1 (58 enodes) 1543751835.357 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1543751835.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.357 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.359 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.365 * * [misc]simplify: iters left: 5 (22 enodes) 1543751835.372 * * [misc]simplify: iters left: 4 (26 enodes) 1543751835.380 * * [misc]simplify: iters left: 3 (28 enodes) 1543751835.390 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.390 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1543751835.391 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751835.392 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.399 * * [misc]simplify: iters left: 5 (24 enodes) 1543751835.408 * * [misc]simplify: iters left: 4 (34 enodes) 1543751835.420 * * [misc]simplify: iters left: 3 (46 enodes) 1543751835.431 * * [misc]simplify: iters left: 2 (51 enodes) 1543751835.438 * * [misc]simplify: iters left: 1 (58 enodes) 1543751835.451 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1543751835.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.451 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.452 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.455 * * [misc]simplify: iters left: 5 (22 enodes) 1543751835.459 * * [misc]simplify: iters left: 4 (26 enodes) 1543751835.462 * * [misc]simplify: iters left: 3 (28 enodes) 1543751835.467 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.468 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1543751835.468 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751835.469 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.472 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.476 * * [misc]simplify: iters left: 4 (31 enodes) 1543751835.481 * * [misc]simplify: iters left: 3 (43 enodes) 1543751835.488 * * [misc]simplify: iters left: 2 (48 enodes) 1543751835.495 * * [misc]simplify: iters left: 1 (55 enodes) 1543751835.505 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751835.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751835.505 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751835.505 * * [misc]simplify: iters left: 6 (13 enodes) 1543751835.508 * * [misc]simplify: iters left: 5 (17 enodes) 1543751835.513 * * [misc]simplify: iters left: 4 (23 enodes) 1543751835.520 * * [misc]simplify: iters left: 3 (25 enodes) 1543751835.524 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751835.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751835.524 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1543751835.525 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751835.526 * * [misc]simplify: iters left: 6 (18 enodes) 1543751835.530 * * [misc]simplify: iters left: 5 (29 enodes) 1543751835.536 * * [misc]simplify: iters left: 4 (50 enodes) 1543751835.546 * * [misc]simplify: iters left: 3 (73 enodes) 1543751835.568 * * [misc]simplify: iters left: 2 (103 enodes) 1543751835.586 * * [misc]simplify: iters left: 1 (127 enodes) 1543751835.636 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1543751835.636 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751835.637 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751835.638 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.640 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.644 * * [misc]simplify: iters left: 4 (27 enodes) 1543751835.648 * * [misc]simplify: iters left: 3 (29 enodes) 1543751835.654 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1543751835.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1543751835.654 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1543751835.654 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751835.655 * * [misc]simplify: iters left: 6 (17 enodes) 1543751835.662 * * [misc]simplify: iters left: 5 (24 enodes) 1543751835.671 * * [misc]simplify: iters left: 4 (34 enodes) 1543751835.679 * * [misc]simplify: iters left: 3 (46 enodes) 1543751835.686 * * [misc]simplify: iters left: 2 (51 enodes) 1543751835.693 * * [misc]simplify: iters left: 1 (58 enodes) 1543751835.706 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751835.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751835.706 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751835.708 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.714 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.721 * * [misc]simplify: iters left: 4 (27 enodes) 1543751835.726 * * [misc]simplify: iters left: 3 (29 enodes) 1543751835.732 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1543751835.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1543751835.732 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1543751835.733 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1543751835.734 * * [misc]simplify: iters left: 6 (14 enodes) 1543751835.736 * * [misc]simplify: iters left: 5 (22 enodes) 1543751835.742 * * [misc]simplify: iters left: 4 (36 enodes) 1543751835.750 * * [misc]simplify: iters left: 3 (57 enodes) 1543751835.765 * * [misc]simplify: iters left: 2 (119 enodes) 1543751835.800 * * [misc]simplify: iters left: 1 (178 enodes) 1543751835.844 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751835.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751835.844 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751835.846 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.851 * * [misc]simplify: iters left: 5 (20 enodes) 1543751835.858 * * [misc]simplify: iters left: 4 (26 enodes) 1543751835.867 * * [misc]simplify: iters left: 3 (28 enodes) 1543751835.874 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751835.874 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751835.874 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1543751835.874 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751835.875 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.878 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.881 * * [misc]simplify: iters left: 4 (27 enodes) 1543751835.885 * * [misc]simplify: iters left: 3 (29 enodes) 1543751835.890 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1543751835.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.890 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.891 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.894 * * [misc]simplify: iters left: 5 (22 enodes) 1543751835.898 * * [misc]simplify: iters left: 4 (26 enodes) 1543751835.905 * * [misc]simplify: iters left: 3 (28 enodes) 1543751835.915 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.915 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1543751835.915 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751835.917 * * [misc]simplify: iters left: 6 (15 enodes) 1543751835.923 * * [misc]simplify: iters left: 5 (21 enodes) 1543751835.930 * * [misc]simplify: iters left: 4 (27 enodes) 1543751835.938 * * [misc]simplify: iters left: 3 (29 enodes) 1543751835.950 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1543751835.950 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.950 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.952 * * [misc]simplify: iters left: 6 (16 enodes) 1543751835.958 * * [misc]simplify: iters left: 5 (22 enodes) 1543751835.966 * * [misc]simplify: iters left: 4 (26 enodes) 1543751835.974 * * [misc]simplify: iters left: 3 (28 enodes) 1543751835.984 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751835.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751835.984 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1543751835.984 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751835.986 * * [misc]simplify: iters left: 6 (14 enodes) 1543751835.991 * * [misc]simplify: iters left: 5 (18 enodes) 1543751835.997 * * [misc]simplify: iters left: 4 (24 enodes) 1543751836.005 * * [misc]simplify: iters left: 3 (26 enodes) 1543751836.014 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751836.014 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751836.014 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751836.016 * * [misc]simplify: iters left: 6 (13 enodes) 1543751836.020 * * [misc]simplify: iters left: 5 (17 enodes) 1543751836.027 * * [misc]simplify: iters left: 4 (23 enodes) 1543751836.033 * * [misc]simplify: iters left: 3 (25 enodes) 1543751836.037 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751836.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751836.037 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1543751836.037 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751836.038 * * [misc]simplify: iters left: 6 (17 enodes) 1543751836.042 * * [misc]simplify: iters left: 5 (24 enodes) 1543751836.046 * * [misc]simplify: iters left: 4 (32 enodes) 1543751836.051 * * [misc]simplify: iters left: 3 (41 enodes) 1543751836.060 * * [misc]simplify: iters left: 2 (49 enodes) 1543751836.066 * * [misc]simplify: iters left: 1 (51 enodes) 1543751836.078 * [exit]simplify: Simplified to (/ (* (sqrt (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)))))) 1543751836.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (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)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751836.079 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751836.080 * * [misc]simplify: iters left: 6 (16 enodes) 1543751836.082 * * [misc]simplify: iters left: 5 (21 enodes) 1543751836.086 * * [misc]simplify: iters left: 4 (27 enodes) 1543751836.090 * * [misc]simplify: iters left: 3 (29 enodes) 1543751836.096 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1543751836.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1543751836.096 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1543751836.096 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751836.097 * * [misc]simplify: iters left: 6 (16 enodes) 1543751836.100 * * [misc]simplify: iters left: 5 (21 enodes) 1543751836.104 * * [misc]simplify: iters left: 4 (27 enodes) 1543751836.108 * * [misc]simplify: iters left: 3 (29 enodes) 1543751836.114 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1543751836.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751836.114 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751836.115 * * [misc]simplify: iters left: 6 (16 enodes) 1543751836.118 * * [misc]simplify: iters left: 5 (21 enodes) 1543751836.542 * * [misc]simplify: iters left: 4 (27 enodes) 1543751836.551 * * [misc]simplify: iters left: 3 (29 enodes) 1543751836.565 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1543751836.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1543751836.565 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1543751836.566 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1543751836.567 * * [misc]simplify: iters left: 6 (13 enodes) 1543751836.572 * * [misc]simplify: iters left: 5 (19 enodes) 1543751836.580 * * [misc]simplify: iters left: 4 (29 enodes) 1543751836.589 * * [misc]simplify: iters left: 3 (33 enodes) 1543751836.598 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751836.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751836.598 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751836.600 * * [misc]simplify: iters left: 6 (15 enodes) 1543751836.605 * * [misc]simplify: iters left: 5 (20 enodes) 1543751836.613 * * [misc]simplify: iters left: 4 (26 enodes) 1543751836.621 * * [misc]simplify: iters left: 3 (28 enodes) 1543751836.631 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751836.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751836.631 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1543751836.632 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1543751836.633 * * [misc]simplify: iters left: 6 (14 enodes) 1543751836.638 * * [misc]simplify: iters left: 5 (22 enodes) 1543751836.646 * * [misc]simplify: iters left: 4 (28 enodes) 1543751836.657 * * [misc]simplify: iters left: 3 (38 enodes) 1543751836.667 * * [misc]simplify: iters left: 2 (40 enodes) 1543751836.683 * * [misc]simplify: iters left: 1 (45 enodes) 1543751836.696 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751836.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751836.697 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751836.699 * * [misc]simplify: iters left: 6 (15 enodes) 1543751836.705 * * [misc]simplify: iters left: 5 (21 enodes) 1543751836.711 * * [misc]simplify: iters left: 4 (25 enodes) 1543751836.719 * * [misc]simplify: iters left: 3 (27 enodes) 1543751836.729 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1543751836.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1543751836.729 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1543751836.729 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1543751836.731 * * [misc]simplify: iters left: 6 (14 enodes) 1543751836.736 * * [misc]simplify: iters left: 5 (22 enodes) 1543751836.744 * * [misc]simplify: iters left: 4 (28 enodes) 1543751836.754 * * [misc]simplify: iters left: 3 (38 enodes) 1543751836.765 * * [misc]simplify: iters left: 2 (40 enodes) 1543751836.774 * * [misc]simplify: iters left: 1 (45 enodes) 1543751836.787 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751836.787 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751836.788 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751836.789 * * [misc]simplify: iters left: 6 (15 enodes) 1543751836.795 * * [misc]simplify: iters left: 5 (21 enodes) 1543751836.802 * * [misc]simplify: iters left: 4 (25 enodes) 1543751836.810 * * [misc]simplify: iters left: 3 (27 enodes) 1543751836.822 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1543751836.822 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1543751836.822 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1543751836.823 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751836.824 * * [misc]simplify: iters left: 6 (13 enodes) 1543751836.829 * * [misc]simplify: iters left: 5 (19 enodes) 1543751836.836 * * [misc]simplify: iters left: 4 (25 enodes) 1543751836.841 * * [misc]simplify: iters left: 3 (35 enodes) 1543751836.846 * * [misc]simplify: iters left: 2 (37 enodes) 1543751836.850 * * [misc]simplify: iters left: 1 (42 enodes) 1543751836.856 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751836.856 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751836.856 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751836.857 * * [misc]simplify: iters left: 6 (12 enodes) 1543751836.859 * * [misc]simplify: iters left: 5 (16 enodes) 1543751836.862 * * [misc]simplify: iters left: 4 (22 enodes) 1543751836.865 * * [misc]simplify: iters left: 3 (24 enodes) 1543751836.871 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751836.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751836.872 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1543751836.872 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751836.873 * * [misc]simplify: iters left: 6 (16 enodes) 1543751836.881 * * [misc]simplify: iters left: 5 (25 enodes) 1543751836.889 * * [misc]simplify: iters left: 4 (33 enodes) 1543751836.903 * * [misc]simplify: iters left: 3 (47 enodes) 1543751836.919 * * [misc]simplify: iters left: 2 (56 enodes) 1543751836.937 * * [misc]simplify: iters left: 1 (66 enodes) 1543751836.967 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751836.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751836.967 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751836.969 * * [misc]simplify: iters left: 6 (15 enodes) 1543751836.974 * * [misc]simplify: iters left: 5 (20 enodes) 1543751836.979 * * [misc]simplify: iters left: 4 (26 enodes) 1543751836.983 * * [misc]simplify: iters left: 3 (28 enodes) 1543751836.988 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751836.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751836.988 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1543751836.988 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751836.989 * * [misc]simplify: iters left: 6 (15 enodes) 1543751836.992 * * [misc]simplify: iters left: 5 (22 enodes) 1543751836.996 * * [misc]simplify: iters left: 4 (28 enodes) 1543751837.002 * * [misc]simplify: iters left: 3 (38 enodes) 1543751837.007 * * [misc]simplify: iters left: 2 (40 enodes) 1543751837.011 * * [misc]simplify: iters left: 1 (45 enodes) 1543751837.020 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751837.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751837.020 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.022 * * [misc]simplify: iters left: 6 (15 enodes) 1543751837.028 * * [misc]simplify: iters left: 5 (20 enodes) 1543751837.035 * * [misc]simplify: iters left: 4 (26 enodes) 1543751837.043 * * [misc]simplify: iters left: 3 (28 enodes) 1543751837.054 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751837.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751837.054 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1543751837.055 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1543751837.056 * * [misc]simplify: iters left: 6 (11 enodes) 1543751837.060 * * [misc]simplify: iters left: 5 (15 enodes) 1543751837.065 * * [misc]simplify: iters left: 4 (18 enodes) 1543751837.070 * * [misc]simplify: iters left: 3 (20 enodes) 1543751837.075 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751837.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751837.076 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751837.076 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.079 * * [misc]simplify: iters left: 5 (19 enodes) 1543751837.082 * * [misc]simplify: iters left: 4 (25 enodes) 1543751837.086 * * [misc]simplify: iters left: 3 (27 enodes) 1543751837.091 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751837.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751837.091 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1543751837.091 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1543751837.092 * * [misc]simplify: iters left: 6 (10 enodes) 1543751837.094 * * [misc]simplify: iters left: 5 (14 enodes) 1543751837.097 * * [misc]simplify: iters left: 4 (19 enodes) 1543751837.099 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751837.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751837.099 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751837.100 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.103 * * [misc]simplify: iters left: 5 (19 enodes) 1543751837.107 * * [misc]simplify: iters left: 4 (25 enodes) 1543751837.111 * * [misc]simplify: iters left: 3 (27 enodes) 1543751837.117 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751837.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751837.117 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1543751837.117 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751837.118 * * [misc]simplify: iters left: 6 (10 enodes) 1543751837.119 * * [misc]simplify: iters left: 5 (12 enodes) 1543751837.121 * * [misc]simplify: iters left: 4 (15 enodes) 1543751837.124 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751837.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751837.124 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1543751837.125 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.128 * * [misc]simplify: iters left: 5 (21 enodes) 1543751837.131 * * [misc]simplify: iters left: 4 (27 enodes) 1543751837.137 * * [misc]simplify: iters left: 3 (37 enodes) 1543751837.142 * * [misc]simplify: iters left: 2 (39 enodes) 1543751837.146 * * [misc]simplify: iters left: 1 (44 enodes) 1543751837.158 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751837.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1543751837.159 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1543751837.159 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1543751837.160 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.163 * * [misc]simplify: iters left: 5 (20 enodes) 1543751837.166 * * [misc]simplify: iters left: 4 (26 enodes) 1543751837.170 * * [misc]simplify: iters left: 3 (28 enodes) 1543751837.175 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1543751837.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1543751837.175 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1543751837.176 * * [misc]simplify: iters left: 6 (12 enodes) 1543751837.178 * * [misc]simplify: iters left: 5 (15 enodes) 1543751837.180 * * [misc]simplify: iters left: 4 (18 enodes) 1543751837.183 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1543751837.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1543751837.183 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1543751837.184 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751837.184 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.188 * * [misc]simplify: iters left: 5 (21 enodes) 1543751837.191 * * [misc]simplify: iters left: 4 (24 enodes) 1543751837.196 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751837.196 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.197 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.199 * * [misc]simplify: iters left: 5 (17 enodes) 1543751837.202 * * [misc]simplify: iters left: 4 (20 enodes) 1543751837.206 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751837.206 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1543751837.206 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.207 * * [misc]simplify: iters left: 6 (13 enodes) 1543751837.210 * * [misc]simplify: iters left: 5 (18 enodes) 1543751837.213 * * [misc]simplify: iters left: 4 (21 enodes) 1543751837.217 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751837.217 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.218 * * [misc]simplify: iters left: 6 (14 enodes) 1543751837.220 * * [misc]simplify: iters left: 5 (17 enodes) 1543751837.223 * * [misc]simplify: iters left: 4 (20 enodes) 1543751837.227 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751837.227 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1543751837.227 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751837.228 * * [misc]simplify: iters left: 6 (12 enodes) 1543751837.233 * * [misc]simplify: iters left: 5 (20 enodes) 1543751837.240 * * [misc]simplify: iters left: 4 (27 enodes) 1543751837.249 * * [misc]simplify: iters left: 3 (37 enodes) 1543751837.267 * * [misc]simplify: iters left: 2 (64 enodes) 1543751837.296 * * [misc]simplify: iters left: 1 (93 enodes) 1543751837.337 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751837.337 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751837.337 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751837.338 * * [misc]simplify: iters left: 6 (15 enodes) 1543751837.341 * * [misc]simplify: iters left: 5 (21 enodes) 1543751837.344 * * [misc]simplify: iters left: 4 (25 enodes) 1543751837.348 * * [misc]simplify: iters left: 3 (27 enodes) 1543751837.353 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1543751837.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1543751837.353 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1543751837.353 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1543751837.354 * * [misc]simplify: iters left: 6 (12 enodes) 1543751837.357 * * [misc]simplify: iters left: 5 (20 enodes) 1543751837.360 * * [misc]simplify: iters left: 4 (27 enodes) 1543751837.366 * * [misc]simplify: iters left: 3 (37 enodes) 1543751837.382 * * [misc]simplify: iters left: 2 (64 enodes) 1543751837.395 * * [misc]simplify: iters left: 1 (93 enodes) 1543751837.420 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751837.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751837.420 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751837.421 * * [misc]simplify: iters left: 6 (15 enodes) 1543751837.425 * * [misc]simplify: iters left: 5 (21 enodes) 1543751837.428 * * [misc]simplify: iters left: 4 (25 enodes) 1543751837.432 * * [misc]simplify: iters left: 3 (27 enodes) 1543751837.438 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1543751837.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1543751837.438 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1543751837.438 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751837.439 * * [misc]simplify: iters left: 6 (13 enodes) 1543751837.442 * * [misc]simplify: iters left: 5 (21 enodes) 1543751837.447 * * [misc]simplify: iters left: 4 (31 enodes) 1543751837.454 * * [misc]simplify: iters left: 3 (51 enodes) 1543751837.473 * * [misc]simplify: iters left: 2 (90 enodes) 1543751837.516 * * [misc]simplify: iters left: 1 (181 enodes) 1543751837.605 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751837.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751837.605 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751837.606 * * [misc]simplify: iters left: 6 (12 enodes) 1543751837.608 * * [misc]simplify: iters left: 5 (16 enodes) 1543751837.611 * * [misc]simplify: iters left: 4 (22 enodes) 1543751837.614 * * [misc]simplify: iters left: 3 (24 enodes) 1543751837.619 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1543751837.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1543751837.619 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1543751837.619 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751837.621 * * [misc]simplify: iters left: 6 (16 enodes) 1543751837.628 * * [misc]simplify: iters left: 5 (29 enodes) 1543751837.640 * * [misc]simplify: iters left: 4 (50 enodes) 1543751837.661 * * [misc]simplify: iters left: 3 (70 enodes) 1543751837.701 * * [misc]simplify: iters left: 2 (169 enodes) 1543751837.890 * [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)))) 1543751837.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751837.890 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.892 * * [misc]simplify: iters left: 6 (15 enodes) 1543751837.897 * * [misc]simplify: iters left: 5 (20 enodes) 1543751837.905 * * [misc]simplify: iters left: 4 (26 enodes) 1543751837.913 * * [misc]simplify: iters left: 3 (28 enodes) 1543751837.924 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751837.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751837.924 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1543751837.924 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751837.926 * * [misc]simplify: iters left: 6 (15 enodes) 1543751837.932 * * [misc]simplify: iters left: 5 (24 enodes) 1543751837.940 * * [misc]simplify: iters left: 4 (34 enodes) 1543751837.949 * * [misc]simplify: iters left: 3 (54 enodes) 1543751837.962 * * [misc]simplify: iters left: 2 (93 enodes) 1543751837.986 * * [misc]simplify: iters left: 1 (182 enodes) 1543751838.095 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751838.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751838.096 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.097 * * [misc]simplify: iters left: 6 (15 enodes) 1543751838.103 * * [misc]simplify: iters left: 5 (20 enodes) 1543751838.110 * * [misc]simplify: iters left: 4 (26 enodes) 1543751838.118 * * [misc]simplify: iters left: 3 (28 enodes) 1543751838.129 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751838.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751838.129 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1543751838.129 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1543751838.130 * * [misc]simplify: iters left: 6 (7 enodes) 1543751838.134 * * [misc]simplify: iters left: 5 (13 enodes) 1543751838.140 * * [misc]simplify: iters left: 4 (22 enodes) 1543751838.146 * * [misc]simplify: iters left: 3 (24 enodes) 1543751838.149 * * [misc]simplify: iters left: 2 (29 enodes) 1543751838.153 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1543751838.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.153 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.154 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.157 * * [misc]simplify: iters left: 5 (19 enodes) 1543751838.160 * * [misc]simplify: iters left: 4 (25 enodes) 1543751838.164 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.169 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1543751838.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751838.169 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1543751838.169 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751838.170 * * [misc]simplify: iters left: 6 (11 enodes) 1543751838.172 * * [misc]simplify: iters left: 5 (17 enodes) 1543751838.176 * * [misc]simplify: iters left: 4 (20 enodes) 1543751838.179 * * [misc]simplify: iters left: 3 (22 enodes) 1543751838.184 * * [misc]simplify: iters left: 2 (34 enodes) 1543751838.189 * * [misc]simplify: iters left: 1 (42 enodes) 1543751838.195 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1543751838.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751838.195 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751838.196 * * [misc]simplify: iters left: 6 (15 enodes) 1543751838.199 * * [misc]simplify: iters left: 5 (21 enodes) 1543751838.203 * * [misc]simplify: iters left: 4 (25 enodes) 1543751838.206 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.212 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1543751838.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1543751838.212 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1543751838.212 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1543751838.213 * * [misc]simplify: iters left: 6 (11 enodes) 1543751838.217 * * [misc]simplify: iters left: 5 (17 enodes) 1543751838.222 * * [misc]simplify: iters left: 4 (20 enodes) 1543751838.229 * * [misc]simplify: iters left: 3 (22 enodes) 1543751838.238 * * [misc]simplify: iters left: 2 (34 enodes) 1543751838.248 * * [misc]simplify: iters left: 1 (42 enodes) 1543751838.259 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1543751838.259 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751838.259 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1543751838.261 * * [misc]simplify: iters left: 6 (15 enodes) 1543751838.267 * * [misc]simplify: iters left: 5 (21 enodes) 1543751838.274 * * [misc]simplify: iters left: 4 (25 enodes) 1543751838.285 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.292 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1543751838.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1543751838.292 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1543751838.292 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751838.293 * * [misc]simplify: iters left: 6 (12 enodes) 1543751838.295 * * [misc]simplify: iters left: 5 (18 enodes) 1543751838.298 * * [misc]simplify: iters left: 4 (24 enodes) 1543751838.302 * * [misc]simplify: iters left: 3 (32 enodes) 1543751838.308 * * [misc]simplify: iters left: 2 (41 enodes) 1543751838.314 * * [misc]simplify: iters left: 1 (51 enodes) 1543751838.323 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751838.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751838.324 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751838.325 * * [misc]simplify: iters left: 6 (12 enodes) 1543751838.330 * * [misc]simplify: iters left: 5 (16 enodes) 1543751838.336 * * [misc]simplify: iters left: 4 (22 enodes) 1543751838.343 * * [misc]simplify: iters left: 3 (24 enodes) 1543751838.352 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1543751838.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1543751838.352 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1543751838.352 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.354 * * [misc]simplify: iters left: 6 (15 enodes) 1543751838.360 * * [misc]simplify: iters left: 5 (24 enodes) 1543751838.368 * * [misc]simplify: iters left: 4 (32 enodes) 1543751838.379 * * [misc]simplify: iters left: 3 (43 enodes) 1543751838.398 * * [misc]simplify: iters left: 2 (69 enodes) 1543751838.414 * * [misc]simplify: iters left: 1 (119 enodes) 1543751838.476 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751838.476 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.478 * * [misc]simplify: iters left: 6 (15 enodes) 1543751838.486 * * [misc]simplify: iters left: 5 (20 enodes) 1543751838.493 * * [misc]simplify: iters left: 4 (26 enodes) 1543751838.501 * * [misc]simplify: iters left: 3 (28 enodes) 1543751838.512 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751838.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751838.512 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1543751838.512 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.513 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.519 * * [misc]simplify: iters left: 5 (21 enodes) 1543751838.526 * * [misc]simplify: iters left: 4 (27 enodes) 1543751838.535 * * [misc]simplify: iters left: 3 (35 enodes) 1543751838.548 * * [misc]simplify: iters left: 2 (43 enodes) 1543751838.560 * * [misc]simplify: iters left: 1 (56 enodes) 1543751838.580 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1543751838.581 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751838.581 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.582 * * [misc]simplify: iters left: 6 (15 enodes) 1543751838.588 * * [misc]simplify: iters left: 5 (20 enodes) 1543751838.591 * * [misc]simplify: iters left: 4 (26 enodes) 1543751838.596 * * [misc]simplify: iters left: 3 (28 enodes) 1543751838.601 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751838.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1543751838.601 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1543751838.601 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1543751838.601 * * [misc]simplify: iters left: 6 (6 enodes) 1543751838.604 * * [misc]simplify: iters left: 5 (10 enodes) 1543751838.607 * * [misc]simplify: iters left: 4 (16 enodes) 1543751838.609 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1543751838.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.609 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.610 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.612 * * [misc]simplify: iters left: 5 (19 enodes) 1543751838.616 * * [misc]simplify: iters left: 4 (25 enodes) 1543751838.619 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.624 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1543751838.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751838.624 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1543751838.625 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1543751838.625 * * [misc]simplify: iters left: 6 (8 enodes) 1543751838.627 * * [misc]simplify: iters left: 5 (14 enodes) 1543751838.629 * * [misc]simplify: iters left: 4 (15 enodes) 1543751838.632 * * [misc]simplify: iters left: 3 (19 enodes) 1543751838.634 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1543751838.634 * [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))))))) 1543751838.634 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751838.635 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.638 * * [misc]simplify: iters left: 5 (20 enodes) 1543751838.641 * * [misc]simplify: iters left: 4 (24 enodes) 1543751838.645 * * [misc]simplify: iters left: 3 (26 enodes) 1543751838.653 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751838.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1543751838.653 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1543751838.653 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1543751838.654 * * [misc]simplify: iters left: 6 (8 enodes) 1543751838.658 * * [misc]simplify: iters left: 5 (14 enodes) 1543751838.661 * * [misc]simplify: iters left: 4 (15 enodes) 1543751838.664 * * [misc]simplify: iters left: 3 (19 enodes) 1543751838.666 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1543751838.666 * [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))))))) 1543751838.666 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1543751838.667 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.670 * * [misc]simplify: iters left: 5 (20 enodes) 1543751838.673 * * [misc]simplify: iters left: 4 (24 enodes) 1543751838.677 * * [misc]simplify: iters left: 3 (26 enodes) 1543751838.683 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751838.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1543751838.683 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1543751838.683 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751838.684 * * [misc]simplify: iters left: 6 (10 enodes) 1543751838.686 * * [misc]simplify: iters left: 5 (16 enodes) 1543751838.689 * * [misc]simplify: iters left: 4 (20 enodes) 1543751838.693 * * [misc]simplify: iters left: 3 (24 enodes) 1543751838.699 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1543751838.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751838.700 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751838.701 * * [misc]simplify: iters left: 6 (11 enodes) 1543751838.705 * * [misc]simplify: iters left: 5 (15 enodes) 1543751838.711 * * [misc]simplify: iters left: 4 (21 enodes) 1543751838.718 * * [misc]simplify: iters left: 3 (23 enodes) 1543751838.723 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751838.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751838.723 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1543751838.723 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.724 * * [misc]simplify: iters left: 6 (13 enodes) 1543751838.727 * * [misc]simplify: iters left: 5 (22 enodes) 1543751838.730 * * [misc]simplify: iters left: 4 (26 enodes) 1543751838.735 * * [misc]simplify: iters left: 3 (32 enodes) 1543751838.739 * * [misc]simplify: iters left: 2 (34 enodes) 1543751838.744 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751838.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751838.744 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.745 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.747 * * [misc]simplify: iters left: 5 (19 enodes) 1543751838.751 * * [misc]simplify: iters left: 4 (25 enodes) 1543751838.755 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.764 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.764 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.765 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1543751838.765 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.766 * * [misc]simplify: iters left: 6 (12 enodes) 1543751838.774 * * [misc]simplify: iters left: 5 (19 enodes) 1543751838.780 * * [misc]simplify: iters left: 4 (23 enodes) 1543751838.788 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.795 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1543751838.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751838.796 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751838.797 * * [misc]simplify: iters left: 6 (14 enodes) 1543751838.802 * * [misc]simplify: iters left: 5 (19 enodes) 1543751838.807 * * [misc]simplify: iters left: 4 (25 enodes) 1543751838.810 * * [misc]simplify: iters left: 3 (27 enodes) 1543751838.815 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.815 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1543751838.815 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1543751838.816 * * [misc]simplify: iters left: 4 (3 enodes) 1543751838.816 * * [misc]simplify: iters left: 3 (5 enodes) 1543751838.817 * [exit]simplify: Simplified to 1 1543751838.817 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.817 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.818 * * [misc]simplify: iters left: 6 (13 enodes) 1543751838.820 * * [misc]simplify: iters left: 5 (18 enodes) 1543751838.823 * * [misc]simplify: iters left: 4 (24 enodes) 1543751838.827 * * [misc]simplify: iters left: 3 (26 enodes) 1543751838.832 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751838.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1543751838.832 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1543751838.832 * [enter]simplify: Simplifying (/ 1 1) 1543751838.833 * * [misc]simplify: iters left: 2 (2 enodes) 1543751838.834 * * [misc]simplify: iters left: 1 (4 enodes) 1543751838.834 * [exit]simplify: Simplified to 1 1543751838.834 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.835 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.836 * * [misc]simplify: iters left: 6 (13 enodes) 1543751838.841 * * [misc]simplify: iters left: 5 (18 enodes) 1543751838.848 * * [misc]simplify: iters left: 4 (24 enodes) 1543751838.855 * * [misc]simplify: iters left: 3 (26 enodes) 1543751838.866 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751838.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1543751838.866 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1543751838.866 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1543751838.866 * * [misc]simplify: iters left: 3 (4 enodes) 1543751838.868 * * [misc]simplify: iters left: 2 (6 enodes) 1543751838.870 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1543751838.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.870 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.871 * * [misc]simplify: iters left: 6 (13 enodes) 1543751838.877 * * [misc]simplify: iters left: 5 (20 enodes) 1543751838.886 * * [misc]simplify: iters left: 4 (26 enodes) 1543751838.892 * * [misc]simplify: iters left: 3 (36 enodes) 1543751838.897 * * [misc]simplify: iters left: 2 (38 enodes) 1543751838.901 * * [misc]simplify: iters left: 1 (43 enodes) 1543751838.907 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1543751838.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1543751838.907 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1543751838.908 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1543751838.908 * * [misc]simplify: iters left: 6 (10 enodes) 1543751838.910 * * [misc]simplify: iters left: 5 (16 enodes) 1543751838.913 * * [misc]simplify: iters left: 4 (19 enodes) 1543751838.915 * * [misc]simplify: iters left: 3 (21 enodes) 1543751838.920 * * [misc]simplify: iters left: 2 (33 enodes) 1543751838.930 * * [misc]simplify: iters left: 1 (41 enodes) 1543751838.941 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1543751838.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1543751838.941 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1543751838.942 * * [misc]simplify: iters left: 6 (11 enodes) 1543751838.946 * * [misc]simplify: iters left: 5 (14 enodes) 1543751838.951 * * [misc]simplify: iters left: 4 (17 enodes) 1543751838.957 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1543751838.957 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1543751838.957 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1543751838.957 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1543751838.957 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1543751838.957 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1543751838.958 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.959 * * [misc]simplify: iters left: 6 (11 enodes) 1543751838.963 * * [misc]simplify: iters left: 5 (14 enodes) 1543751838.968 * * [misc]simplify: iters left: 4 (17 enodes) 1543751838.974 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.974 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1543751838.975 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.975 * * [misc]simplify: iters left: 6 (11 enodes) 1543751838.977 * * [misc]simplify: iters left: 5 (14 enodes) 1543751838.980 * * [misc]simplify: iters left: 4 (17 enodes) 1543751838.984 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751838.984 * [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) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751838.984 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1543751838.984 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751838.985 * * [misc]simplify: iters left: 6 (10 enodes) 1543751838.987 * * [misc]simplify: iters left: 5 (13 enodes) 1543751838.989 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751838.989 * [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))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751838.989 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1543751838.989 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751838.990 * * [misc]simplify: iters left: 6 (10 enodes) 1543751838.991 * * [misc]simplify: iters left: 5 (13 enodes) 1543751838.994 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751838.994 * [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))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751838.994 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1543751838.994 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751838.994 * * [misc]simplify: iters left: 6 (9 enodes) 1543751838.996 * * [misc]simplify: iters left: 5 (11 enodes) 1543751838.998 * * [misc]simplify: iters left: 4 (14 enodes) 1543751839.001 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751839.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751839.001 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1543751839.002 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.003 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.008 * * [misc]simplify: iters left: 5 (15 enodes) 1543751839.013 * * [misc]simplify: iters left: 4 (18 enodes) 1543751839.019 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751839.019 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1543751839.019 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.021 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.025 * * [misc]simplify: iters left: 5 (15 enodes) 1543751839.030 * * [misc]simplify: iters left: 4 (18 enodes) 1543751839.036 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751839.037 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1543751839.037 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.038 * * [misc]simplify: iters left: 6 (11 enodes) 1543751839.042 * * [misc]simplify: iters left: 5 (14 enodes) 1543751839.047 * * [misc]simplify: iters left: 4 (17 enodes) 1543751839.053 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751839.053 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1543751839.053 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751839.054 * * [misc]simplify: iters left: 6 (10 enodes) 1543751839.058 * * [misc]simplify: iters left: 5 (13 enodes) 1543751839.063 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751839.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751839.063 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1543751839.064 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751839.065 * * [misc]simplify: iters left: 6 (10 enodes) 1543751839.069 * * [misc]simplify: iters left: 5 (13 enodes) 1543751839.074 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751839.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1543751839.074 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1543751839.074 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751839.075 * * [misc]simplify: iters left: 6 (9 enodes) 1543751839.078 * * [misc]simplify: iters left: 5 (11 enodes) 1543751839.082 * * [misc]simplify: iters left: 4 (14 enodes) 1543751839.087 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751839.087 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751839.087 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1543751839.088 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.089 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.093 * * [misc]simplify: iters left: 5 (15 enodes) 1543751839.098 * * [misc]simplify: iters left: 4 (18 enodes) 1543751839.105 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 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)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751839.105 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1543751839.105 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.108 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.112 * * [misc]simplify: iters left: 5 (15 enodes) 1543751839.117 * * [misc]simplify: iters left: 4 (18 enodes) 1543751839.124 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.124 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751839.124 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1543751839.125 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.126 * * [misc]simplify: iters left: 6 (11 enodes) 1543751839.130 * * [misc]simplify: iters left: 5 (14 enodes) 1543751839.135 * * [misc]simplify: iters left: 4 (17 enodes) 1543751839.141 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.141 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751839.141 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1543751839.141 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1543751839.142 * * [misc]simplify: iters left: 6 (9 enodes) 1543751839.145 * * [misc]simplify: iters left: 5 (12 enodes) 1543751839.149 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1543751839.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1543751839.149 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1543751839.149 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1543751839.149 * * [misc]simplify: iters left: 6 (9 enodes) 1543751839.151 * * [misc]simplify: iters left: 5 (12 enodes) 1543751839.153 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1543751839.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1543751839.153 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1543751839.153 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1543751839.154 * * [misc]simplify: iters left: 6 (8 enodes) 1543751839.155 * * [misc]simplify: iters left: 5 (10 enodes) 1543751839.157 * * [misc]simplify: iters left: 4 (13 enodes) 1543751839.159 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1543751839.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1543751839.159 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1543751839.159 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.160 * * [misc]simplify: iters left: 6 (11 enodes) 1543751839.162 * * [misc]simplify: iters left: 5 (14 enodes) 1543751839.165 * * [misc]simplify: iters left: 4 (17 enodes) 1543751839.168 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (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))))))) 1543751839.168 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1543751839.168 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.169 * * [misc]simplify: iters left: 6 (11 enodes) 1543751839.171 * * [misc]simplify: iters left: 5 (14 enodes) 1543751839.173 * * [misc]simplify: iters left: 4 (17 enodes) 1543751839.176 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751839.176 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1543751839.176 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.177 * * [misc]simplify: iters left: 6 (10 enodes) 1543751839.179 * * [misc]simplify: iters left: 5 (13 enodes) 1543751839.181 * * [misc]simplify: iters left: 4 (16 enodes) 1543751839.184 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751839.184 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1543751839.184 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.185 * * [misc]simplify: iters left: 6 (10 enodes) 1543751839.187 * * [misc]simplify: iters left: 5 (13 enodes) 1543751839.189 * * [misc]simplify: iters left: 4 (16 enodes) 1543751839.191 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751839.191 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1543751839.192 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1543751839.192 * * [misc]simplify: iters left: 6 (10 enodes) 1543751839.194 * * [misc]simplify: iters left: 5 (15 enodes) 1543751839.198 * * [misc]simplify: iters left: 4 (18 enodes) 1543751839.202 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1543751839.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1543751839.202 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1543751839.203 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1543751839.203 * * [misc]simplify: iters left: 3 (6 enodes) 1543751839.205 * * [misc]simplify: iters left: 2 (7 enodes) 1543751839.208 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1543751839.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1543751839.208 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1543751839.208 * [enter]simplify: Simplifying (pow PI 1/2) 1543751839.208 * * [misc]simplify: iters left: 1 (3 enodes) 1543751839.210 * [exit]simplify: Simplified to (sqrt PI) 1543751839.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1543751839.210 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1543751839.210 * [enter]simplify: Simplifying (pow PI 1/2) 1543751839.210 * * [misc]simplify: iters left: 1 (3 enodes) 1543751839.212 * [exit]simplify: Simplified to (sqrt PI) 1543751839.212 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1543751839.212 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1543751839.212 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751839.213 * * [misc]simplify: iters left: 6 (9 enodes) 1543751839.216 * * [misc]simplify: iters left: 5 (11 enodes) 1543751839.220 * * [misc]simplify: iters left: 4 (14 enodes) 1543751839.225 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751839.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1543751839.225 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1543751839.226 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751839.226 * * [misc]simplify: iters left: 6 (8 enodes) 1543751839.230 * * [misc]simplify: iters left: 5 (10 enodes) 1543751839.234 * * [misc]simplify: iters left: 4 (13 enodes) 1543751839.238 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751839.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1543751839.238 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1543751839.238 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1543751839.239 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1543751839.239 * * [misc]simplify: iters left: 5 (8 enodes) 1543751839.242 * * [misc]simplify: iters left: 4 (11 enodes) 1543751839.246 * * [misc]simplify: iters left: 3 (14 enodes) 1543751839.249 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1543751839.249 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.249 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1543751839.249 * [enter]simplify: Simplifying (pow PI 1/2) 1543751839.250 * * [misc]simplify: iters left: 1 (3 enodes) 1543751839.250 * [exit]simplify: Simplified to (sqrt PI) 1543751839.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1543751839.250 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1543751839.250 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1543751839.250 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1543751839.251 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.254 * * [misc]simplify: iters left: 5 (21 enodes) 1543751839.260 * * [misc]simplify: iters left: 4 (44 enodes) 1543751839.276 * * [misc]simplify: iters left: 3 (125 enodes) 1543751839.368 * * [misc]simplify: iters left: 2 (343 enodes) 1543751839.576 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1543751839.576 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1543751839.576 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1543751839.576 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1543751839.577 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.584 * * [misc]simplify: iters left: 5 (21 enodes) 1543751839.594 * * [misc]simplify: iters left: 4 (44 enodes) 1543751839.611 * * [misc]simplify: iters left: 3 (125 enodes) 1543751839.680 * * [misc]simplify: iters left: 2 (343 enodes) 1543751839.855 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1543751839.855 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1543751839.855 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1543751839.855 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1543751839.856 * * [misc]simplify: iters left: 6 (12 enodes) 1543751839.859 * * [misc]simplify: iters left: 5 (19 enodes) 1543751839.865 * * [misc]simplify: iters left: 4 (32 enodes) 1543751839.874 * * [misc]simplify: iters left: 3 (67 enodes) 1543751839.914 * * [misc]simplify: iters left: 2 (194 enodes) 1543751840.095 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1543751840.095 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1543751840.095 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1543751840.095 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1543751840.095 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1543751840.095 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.097 * * [misc]simplify: iters left: 6 (14 enodes) 1543751840.103 * * [misc]simplify: iters left: 5 (26 enodes) 1543751840.111 * * [misc]simplify: iters left: 4 (58 enodes) 1543751840.126 * * [misc]simplify: iters left: 3 (117 enodes) 1543751840.165 * * [misc]simplify: iters left: 2 (193 enodes) 1543751840.271 * * [misc]simplify: iters left: 1 (263 enodes) 1543751840.425 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.425 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.425 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1543751840.425 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1543751840.425 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1543751840.425 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1543751840.425 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1543751840.425 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1543751840.426 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.428 * * [misc]simplify: iters left: 5 (14 enodes) 1543751840.430 * * [misc]simplify: iters left: 4 (16 enodes) 1543751840.433 * * [misc]simplify: iters left: 3 (17 enodes) 1543751840.436 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1543751840.436 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751840.436 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751840.437 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.439 * * [misc]simplify: iters left: 5 (13 enodes) 1543751840.441 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751840.441 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1543751840.441 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1543751840.441 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1543751840.442 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.444 * * [misc]simplify: iters left: 5 (14 enodes) 1543751840.446 * * [misc]simplify: iters left: 4 (16 enodes) 1543751840.449 * * [misc]simplify: iters left: 3 (17 enodes) 1543751840.456 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1543751840.456 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751840.456 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751840.457 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.461 * * [misc]simplify: iters left: 5 (13 enodes) 1543751840.466 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751840.466 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1543751840.466 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1543751840.466 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1543751840.467 * * [misc]simplify: iters left: 6 (11 enodes) 1543751840.471 * * [misc]simplify: iters left: 5 (15 enodes) 1543751840.477 * * [misc]simplify: iters left: 4 (20 enodes) 1543751840.485 * * [misc]simplify: iters left: 3 (21 enodes) 1543751840.493 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1543751840.493 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751840.493 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751840.494 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.497 * * [misc]simplify: iters left: 5 (11 enodes) 1543751840.501 * * [misc]simplify: iters left: 4 (14 enodes) 1543751840.506 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751840.506 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751840.506 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1543751840.506 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751840.508 * * [misc]simplify: iters left: 6 (14 enodes) 1543751840.514 * * [misc]simplify: iters left: 5 (23 enodes) 1543751840.523 * * [misc]simplify: iters left: 4 (35 enodes) 1543751840.534 * * [misc]simplify: iters left: 3 (38 enodes) 1543751840.545 * * [misc]simplify: iters left: 2 (41 enodes) 1543751840.562 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751840.562 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 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)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.562 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.563 * * [misc]simplify: iters left: 6 (12 enodes) 1543751840.568 * * [misc]simplify: iters left: 5 (15 enodes) 1543751840.573 * * [misc]simplify: iters left: 4 (18 enodes) 1543751840.579 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.579 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.579 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1543751840.580 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.581 * * [misc]simplify: iters left: 6 (13 enodes) 1543751840.586 * * [misc]simplify: iters left: 5 (18 enodes) 1543751840.593 * * [misc]simplify: iters left: 4 (23 enodes) 1543751840.600 * * [misc]simplify: iters left: 3 (24 enodes) 1543751840.609 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.609 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.609 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.610 * * [misc]simplify: iters left: 6 (12 enodes) 1543751840.615 * * [misc]simplify: iters left: 5 (15 enodes) 1543751840.621 * * [misc]simplify: iters left: 4 (18 enodes) 1543751840.628 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.628 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.628 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1543751840.628 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1543751840.629 * * [misc]simplify: iters left: 6 (6 enodes) 1543751840.631 * * [misc]simplify: iters left: 5 (10 enodes) 1543751840.636 * * [misc]simplify: iters left: 4 (16 enodes) 1543751840.640 * * [misc]simplify: iters left: 3 (18 enodes) 1543751840.644 * * [misc]simplify: iters left: 2 (23 enodes) 1543751840.647 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1543751840.647 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.647 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.648 * * [misc]simplify: iters left: 6 (11 enodes) 1543751840.650 * * [misc]simplify: iters left: 5 (14 enodes) 1543751840.653 * * [misc]simplify: iters left: 4 (17 enodes) 1543751840.656 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.656 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.656 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1543751840.656 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1543751840.656 * * [misc]simplify: iters left: 5 (9 enodes) 1543751840.658 * * [misc]simplify: iters left: 4 (11 enodes) 1543751840.660 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1543751840.660 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751840.660 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751840.661 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.662 * * [misc]simplify: iters left: 5 (13 enodes) 1543751840.666 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751840.666 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1543751840.666 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1543751840.667 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1543751840.667 * * [misc]simplify: iters left: 5 (9 enodes) 1543751840.670 * * [misc]simplify: iters left: 4 (11 enodes) 1543751840.674 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1543751840.674 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1543751840.674 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1543751840.675 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.679 * * [misc]simplify: iters left: 5 (13 enodes) 1543751840.684 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1543751840.684 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1543751840.684 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1543751840.684 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1543751840.685 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.689 * * [misc]simplify: iters left: 5 (12 enodes) 1543751840.693 * * [misc]simplify: iters left: 4 (15 enodes) 1543751840.699 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1543751840.699 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751840.699 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751840.700 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.703 * * [misc]simplify: iters left: 5 (11 enodes) 1543751840.707 * * [misc]simplify: iters left: 4 (14 enodes) 1543751840.712 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751840.712 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751840.712 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1543751840.712 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751840.713 * * [misc]simplify: iters left: 6 (13 enodes) 1543751840.718 * * [misc]simplify: iters left: 5 (18 enodes) 1543751840.724 * * [misc]simplify: iters left: 4 (21 enodes) 1543751840.732 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751840.732 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 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)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.732 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.733 * * [misc]simplify: iters left: 6 (12 enodes) 1543751840.739 * * [misc]simplify: iters left: 5 (15 enodes) 1543751840.744 * * [misc]simplify: iters left: 4 (18 enodes) 1543751840.749 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.749 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 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)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.749 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1543751840.750 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.750 * * [misc]simplify: iters left: 6 (12 enodes) 1543751840.752 * * [misc]simplify: iters left: 5 (15 enodes) 1543751840.755 * * [misc]simplify: iters left: 4 (18 enodes) 1543751840.758 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.758 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.758 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.759 * * [misc]simplify: iters left: 6 (12 enodes) 1543751840.761 * * [misc]simplify: iters left: 5 (15 enodes) 1543751840.764 * * [misc]simplify: iters left: 4 (18 enodes) 1543751840.767 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.767 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.767 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1543751840.767 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1543751840.767 * * [misc]simplify: iters left: 4 (5 enodes) 1543751840.768 * * [misc]simplify: iters left: 3 (7 enodes) 1543751840.770 * * [misc]simplify: iters left: 2 (9 enodes) 1543751840.771 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1543751840.771 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.771 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.772 * * [misc]simplify: iters left: 6 (11 enodes) 1543751840.774 * * [misc]simplify: iters left: 5 (14 enodes) 1543751840.777 * * [misc]simplify: iters left: 4 (17 enodes) 1543751840.783 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.783 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.783 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1543751840.783 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1543751840.784 * * [misc]simplify: iters left: 5 (7 enodes) 1543751840.787 * * [misc]simplify: iters left: 4 (11 enodes) 1543751840.790 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1543751840.790 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751840.790 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1543751840.791 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.795 * * [misc]simplify: iters left: 5 (12 enodes) 1543751840.799 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1543751840.799 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1543751840.799 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1543751840.800 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1543751840.800 * * [misc]simplify: iters left: 5 (7 enodes) 1543751840.803 * * [misc]simplify: iters left: 4 (11 enodes) 1543751840.806 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1543751840.807 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1543751840.807 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1543751840.808 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.811 * * [misc]simplify: iters left: 5 (12 enodes) 1543751840.816 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1543751840.816 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1543751840.816 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1543751840.816 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1543751840.817 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.820 * * [misc]simplify: iters left: 5 (13 enodes) 1543751840.824 * * [misc]simplify: iters left: 4 (16 enodes) 1543751840.829 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1543751840.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751840.830 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1543751840.830 * * [misc]simplify: iters left: 6 (8 enodes) 1543751840.833 * * [misc]simplify: iters left: 5 (10 enodes) 1543751840.837 * * [misc]simplify: iters left: 4 (13 enodes) 1543751840.841 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1543751840.842 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751840.842 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1543751840.842 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751840.843 * * [misc]simplify: iters left: 6 (12 enodes) 1543751840.850 * * [misc]simplify: iters left: 5 (19 enodes) 1543751840.856 * * [misc]simplify: iters left: 4 (22 enodes) 1543751840.864 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751840.864 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.864 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.866 * * [misc]simplify: iters left: 6 (11 enodes) 1543751840.870 * * [misc]simplify: iters left: 5 (14 enodes) 1543751840.874 * * [misc]simplify: iters left: 4 (17 enodes) 1543751840.880 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.880 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (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)))))))) 1543751840.880 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1543751840.881 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.882 * * [misc]simplify: iters left: 6 (11 enodes) 1543751840.886 * * [misc]simplify: iters left: 5 (16 enodes) 1543751840.891 * * [misc]simplify: iters left: 4 (19 enodes) 1543751840.897 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1543751840.897 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.898 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.899 * * [misc]simplify: iters left: 6 (11 enodes) 1543751840.903 * * [misc]simplify: iters left: 5 (14 enodes) 1543751840.908 * * [misc]simplify: iters left: 4 (17 enodes) 1543751840.914 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1543751840.914 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1543751840.914 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1543751840.915 * [enter]simplify: Simplifying (/ 1 1) 1543751840.915 * * [misc]simplify: iters left: 2 (2 enodes) 1543751840.916 * * [misc]simplify: iters left: 1 (4 enodes) 1543751840.917 * [exit]simplify: Simplified to 1 1543751840.917 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.917 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.918 * * [misc]simplify: iters left: 6 (10 enodes) 1543751840.921 * * [misc]simplify: iters left: 5 (13 enodes) 1543751840.926 * * [misc]simplify: iters left: 4 (16 enodes) 1543751840.931 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.932 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.932 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1543751840.932 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1543751840.932 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1543751840.932 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1543751840.932 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1543751840.933 * * [misc]simplify: iters left: 5 (7 enodes) 1543751840.935 * * [misc]simplify: iters left: 4 (10 enodes) 1543751840.939 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1543751840.939 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1543751840.939 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1543751840.939 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1543751840.940 * * [misc]simplify: iters left: 5 (7 enodes) 1543751840.943 * * [misc]simplify: iters left: 4 (10 enodes) 1543751840.946 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1543751840.946 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1543751840.946 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1543751840.946 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1543751840.947 * * [misc]simplify: iters left: 5 (6 enodes) 1543751840.949 * * [misc]simplify: iters left: 4 (8 enodes) 1543751840.952 * * [misc]simplify: iters left: 3 (11 enodes) 1543751840.956 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1543751840.956 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751840.956 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1543751840.956 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.957 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.960 * * [misc]simplify: iters left: 5 (12 enodes) 1543751840.965 * * [misc]simplify: iters left: 4 (15 enodes) 1543751840.970 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.970 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.970 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1543751840.971 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.972 * * [misc]simplify: iters left: 6 (9 enodes) 1543751840.975 * * [misc]simplify: iters left: 5 (12 enodes) 1543751840.979 * * [misc]simplify: iters left: 4 (15 enodes) 1543751840.984 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1543751840.984 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1543751840.984 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1543751840.984 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1543751840.987 * * [misc]simplify: iters left: 5 (8 enodes) 1543751840.990 * * [misc]simplify: iters left: 4 (11 enodes) 1543751840.994 * * [misc]simplify: iters left: 3 (14 enodes) 1543751840.999 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1543751840.999 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751840.999 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1543751840.999 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1543751840.999 * * [misc]simplify: iters left: 4 (4 enodes) 1543751841.001 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1543751841.001 * [misc]simplify: Simplified (2 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)))))) 1543751841.001 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1543751841.001 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1543751841.002 * * [misc]simplify: iters left: 2 (3 enodes) 1543751841.003 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1543751841.003 * [misc]simplify: Simplified (2 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)))))) 1543751841.003 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1543751841.003 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1543751841.003 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1543751841.004 * * [misc]simplify: iters left: 3 (6 enodes) 1543751841.006 * * [misc]simplify: iters left: 2 (7 enodes) 1543751841.009 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1543751841.009 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1543751841.009 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1543751841.009 * [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)))) 1543751841.011 * * [misc]simplify: iters left: 6 (18 enodes) 1543751841.021 * * [misc]simplify: iters left: 5 (39 enodes) 1543751841.045 * * [misc]simplify: iters left: 4 (104 enodes) 1543751841.113 * * [misc]simplify: iters left: 3 (275 enodes) 1543751841.360 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1543751841.360 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751841.360 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1543751841.361 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1543751841.361 * * [misc]simplify: iters left: 5 (6 enodes) 1543751841.362 * * [misc]simplify: iters left: 4 (9 enodes) 1543751841.365 * * [misc]simplify: iters left: 3 (17 enodes) 1543751841.368 * * [misc]simplify: iters left: 2 (20 enodes) 1543751841.370 * * [misc]simplify: iters left: 1 (24 enodes) 1543751841.381 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1543751841.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751841.381 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1543751841.382 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1543751841.382 * * [misc]simplify: iters left: 5 (6 enodes) 1543751841.385 * * [misc]simplify: iters left: 4 (9 enodes) 1543751841.390 * * [misc]simplify: iters left: 3 (17 enodes) 1543751841.395 * * [misc]simplify: iters left: 2 (20 enodes) 1543751841.401 * * [misc]simplify: iters left: 1 (24 enodes) 1543751841.413 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1543751841.413 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751841.413 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1543751841.413 * [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))))) 1543751841.417 * * [misc]simplify: iters left: 6 (35 enodes) 1543751841.442 * * [misc]simplify: iters left: 5 (99 enodes) 1543751841.512 * * [misc]simplify: iters left: 4 (298 enodes) 1543751841.913 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1543751841.913 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1543751841.913 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1543751841.913 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1543751841.914 * * [misc]simplify: iters left: 6 (13 enodes) 1543751841.919 * * [misc]simplify: iters left: 5 (27 enodes) 1543751841.926 * * [misc]simplify: iters left: 4 (53 enodes) 1543751841.941 * * [misc]simplify: iters left: 3 (116 enodes) 1543751842.015 * * [misc]simplify: iters left: 2 (362 enodes) 1543751842.433 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1543751842.433 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1543751842.433 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1543751842.433 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1543751842.435 * * [misc]simplify: iters left: 6 (13 enodes) 1543751842.442 * * [misc]simplify: iters left: 5 (24 enodes) 1543751842.456 * * [misc]simplify: iters left: 4 (54 enodes) 1543751842.487 * * [misc]simplify: iters left: 3 (143 enodes) 1543751842.624 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1543751842.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1543751842.624 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1543751842.625 * [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))))))))))))))) 1543751842.625 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751842.625 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1543751842.625 * [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)))))))) 1543751842.625 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751842.625 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1543751842.625 * [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)))))))) 1543751842.625 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751842.625 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1543751842.626 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1543751842.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1543751842.626 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1543751842.626 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1543751842.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1543751842.626 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1543751842.626 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1543751842.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1543751842.627 * * * [misc]progress: adding candidates to table 1543751849.135 * * [misc]progress: iteration 4 / 4 1543751849.135 * * * [misc]progress: picking best candidate 1543751849.234 * * * * [misc]pick: Picked # 1543751849.234 * * * [misc]progress: localizing error 1543751849.263 * * * [misc]progress: generating rewritten candidates 1543751849.263 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1543751849.272 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1543751849.285 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1543751849.383 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1543751849.426 * * * [misc]progress: generating series expansions 1543751849.426 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1543751849.426 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1543751849.426 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1543751849.426 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751849.426 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751849.426 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751849.426 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.426 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.426 * [misc]taylor: Taking taylor expansion of k in k 1543751849.426 * [misc]backup-simplify: Simplify 0 into 0 1543751849.426 * [misc]backup-simplify: Simplify 1 into 1 1543751849.426 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.426 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.426 * [misc]backup-simplify: Simplify PI into PI 1543751849.427 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.427 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.427 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.427 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.428 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751849.428 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751849.428 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751849.428 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751849.428 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751849.428 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.428 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.428 * [misc]taylor: Taking taylor expansion of k in k 1543751849.428 * [misc]backup-simplify: Simplify 0 into 0 1543751849.428 * [misc]backup-simplify: Simplify 1 into 1 1543751849.428 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.428 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.428 * [misc]backup-simplify: Simplify PI into PI 1543751849.428 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.429 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.429 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.429 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.429 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751849.430 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751849.430 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1543751849.432 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751849.432 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751849.432 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.432 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1543751849.435 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1543751849.436 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1543751849.439 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1543751849.439 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751849.439 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.439 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1543751849.449 * [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))) 1543751849.451 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1543751849.456 * [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)))) 1543751849.456 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.456 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1543751849.456 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751849.456 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751849.456 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751849.456 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751849.456 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.457 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.457 * [misc]taylor: Taking taylor expansion of k in k 1543751849.457 * [misc]backup-simplify: Simplify 0 into 0 1543751849.457 * [misc]backup-simplify: Simplify 1 into 1 1543751849.457 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.457 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.457 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.457 * [misc]backup-simplify: Simplify PI into PI 1543751849.457 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.458 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.458 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.458 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.458 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751849.459 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.459 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751849.459 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751849.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751849.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751849.459 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.459 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.459 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.459 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.459 * [misc]taylor: Taking taylor expansion of k in k 1543751849.459 * [misc]backup-simplify: Simplify 0 into 0 1543751849.459 * [misc]backup-simplify: Simplify 1 into 1 1543751849.460 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.460 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.460 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.460 * [misc]backup-simplify: Simplify PI into PI 1543751849.460 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.460 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.460 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.460 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.461 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751849.461 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.462 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.462 * [misc]backup-simplify: Simplify 0 into 0 1543751849.462 * [misc]backup-simplify: Simplify 0 into 0 1543751849.462 * [misc]backup-simplify: Simplify 0 into 0 1543751849.462 * [misc]backup-simplify: Simplify 0 into 0 1543751849.462 * [misc]backup-simplify: Simplify 0 into 0 1543751849.462 * [misc]backup-simplify: Simplify 0 into 0 1543751849.462 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1543751849.462 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751849.462 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1543751849.462 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751849.462 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751849.463 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751849.463 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751849.463 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.463 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.463 * [misc]taylor: Taking taylor expansion of k in k 1543751849.463 * [misc]backup-simplify: Simplify 0 into 0 1543751849.463 * [misc]backup-simplify: Simplify 1 into 1 1543751849.463 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.463 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.463 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.463 * [misc]backup-simplify: Simplify PI into PI 1543751849.463 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.464 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.464 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.464 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751849.465 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751849.465 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of k in k 1543751849.465 * [misc]backup-simplify: Simplify 0 into 0 1543751849.465 * [misc]backup-simplify: Simplify 1 into 1 1543751849.465 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.465 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.465 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.465 * [misc]backup-simplify: Simplify PI into PI 1543751849.466 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.466 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.466 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.467 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751849.467 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751849.467 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751849.467 * [misc]backup-simplify: Simplify 0 into 0 1543751849.467 * [misc]backup-simplify: Simplify 0 into 0 1543751849.467 * [misc]backup-simplify: Simplify 0 into 0 1543751849.467 * [misc]backup-simplify: Simplify 0 into 0 1543751849.468 * [misc]backup-simplify: Simplify 0 into 0 1543751849.468 * [misc]backup-simplify: Simplify 0 into 0 1543751849.468 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1543751849.468 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1543751849.468 * [misc]backup-simplify: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k))) 1543751849.468 * [misc]approximate: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0 1543751849.468 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1543751849.468 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1543751849.468 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1543751849.468 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.468 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.468 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.468 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.469 * [misc]taylor: Taking taylor expansion of k in k 1543751849.469 * [misc]backup-simplify: Simplify 0 into 0 1543751849.469 * [misc]backup-simplify: Simplify 1 into 1 1543751849.469 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751849.469 * [misc]taylor: Taking taylor expansion of n in k 1543751849.469 * [misc]backup-simplify: Simplify n into n 1543751849.469 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751849.469 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.469 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.469 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.469 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1543751849.469 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1543751849.469 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1543751849.469 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1543751849.469 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1543751849.470 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751849.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.470 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751849.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.470 * [misc]taylor: Taking taylor expansion of k in n 1543751849.470 * [misc]backup-simplify: Simplify k into k 1543751849.470 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.470 * [misc]taylor: Taking taylor expansion of n in n 1543751849.470 * [misc]backup-simplify: Simplify 0 into 0 1543751849.470 * [misc]backup-simplify: Simplify 1 into 1 1543751849.470 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.470 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751849.470 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751849.470 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751849.471 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.471 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1543751849.471 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1543751849.471 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1543751849.471 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1543751849.471 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1543751849.471 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751849.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.471 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751849.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.471 * [misc]taylor: Taking taylor expansion of k in n 1543751849.471 * [misc]backup-simplify: Simplify k into k 1543751849.471 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.471 * [misc]taylor: Taking taylor expansion of n in n 1543751849.471 * [misc]backup-simplify: Simplify 0 into 0 1543751849.471 * [misc]backup-simplify: Simplify 1 into 1 1543751849.471 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.472 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751849.472 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751849.472 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751849.472 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.472 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1543751849.472 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1543751849.472 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1543751849.472 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1543751849.472 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1543751849.472 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.473 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.473 * [misc]taylor: Taking taylor expansion of k in k 1543751849.473 * [misc]backup-simplify: Simplify 0 into 0 1543751849.473 * [misc]backup-simplify: Simplify 1 into 1 1543751849.473 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751849.473 * [misc]taylor: Taking taylor expansion of n in k 1543751849.473 * [misc]backup-simplify: Simplify n into n 1543751849.473 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751849.473 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.473 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.473 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.473 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1543751849.473 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1543751849.474 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1543751849.476 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1543751849.476 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751849.477 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.477 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.477 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1543751849.478 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751849.479 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.479 * [misc]backup-simplify: Simplify 0 into 0 1543751849.479 * [misc]backup-simplify: Simplify 0 into 0 1543751849.480 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751849.480 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751849.480 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.480 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1543751849.481 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1543751849.481 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1543751849.486 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1543751849.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751849.486 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.487 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.487 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1543751849.489 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751849.489 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.489 * [misc]backup-simplify: Simplify 0 into 0 1543751849.489 * [misc]backup-simplify: Simplify 0 into 0 1543751849.489 * [misc]backup-simplify: Simplify 0 into 0 1543751849.491 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751849.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751849.492 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.492 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1543751849.494 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1543751849.495 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1543751849.497 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1543751849.497 * [misc]backup-simplify: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.497 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1543751849.497 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751849.497 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1543751849.497 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1543751849.497 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751849.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.497 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.497 * [misc]taylor: Taking taylor expansion of k in k 1543751849.497 * [misc]backup-simplify: Simplify 0 into 0 1543751849.497 * [misc]backup-simplify: Simplify 1 into 1 1543751849.498 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.498 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1543751849.498 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1543751849.498 * [misc]taylor: Taking taylor expansion of n in k 1543751849.498 * [misc]backup-simplify: Simplify n into n 1543751849.498 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1543751849.498 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1543751849.498 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.499 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.499 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.499 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1543751849.499 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.499 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751849.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751849.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751849.499 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751849.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.499 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.500 * [misc]taylor: Taking taylor expansion of k in n 1543751849.500 * [misc]backup-simplify: Simplify k into k 1543751849.500 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.500 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751849.500 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751849.500 * [misc]taylor: Taking taylor expansion of n in n 1543751849.500 * [misc]backup-simplify: Simplify 0 into 0 1543751849.500 * [misc]backup-simplify: Simplify 1 into 1 1543751849.500 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.500 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.500 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.500 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751849.501 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751849.501 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751849.501 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751849.501 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751849.501 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751849.501 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751849.501 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751849.501 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751849.501 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.501 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.501 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.501 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.502 * [misc]taylor: Taking taylor expansion of k in n 1543751849.502 * [misc]backup-simplify: Simplify k into k 1543751849.502 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.502 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751849.502 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751849.502 * [misc]taylor: Taking taylor expansion of n in n 1543751849.502 * [misc]backup-simplify: Simplify 0 into 0 1543751849.502 * [misc]backup-simplify: Simplify 1 into 1 1543751849.502 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.502 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.502 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.502 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751849.502 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751849.503 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751849.503 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751849.503 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751849.503 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1543751849.503 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1543751849.503 * [misc]taylor: Taking taylor expansion of -1 in k 1543751849.503 * [misc]backup-simplify: Simplify -1 into -1 1543751849.503 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1543751849.503 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751849.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.503 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.504 * [misc]taylor: Taking taylor expansion of k in k 1543751849.504 * [misc]backup-simplify: Simplify 0 into 0 1543751849.504 * [misc]backup-simplify: Simplify 1 into 1 1543751849.504 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.504 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751849.504 * [misc]taylor: Taking taylor expansion of n in k 1543751849.504 * [misc]backup-simplify: Simplify n into n 1543751849.504 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751849.504 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.504 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.505 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.505 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1543751849.505 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1543751849.505 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751849.505 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751849.505 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751849.508 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1543751849.509 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751849.509 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751849.509 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751849.510 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1543751849.511 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751849.511 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.511 * [misc]backup-simplify: Simplify 0 into 0 1543751849.511 * [misc]backup-simplify: Simplify 0 into 0 1543751849.511 * [misc]backup-simplify: Simplify 0 into 0 1543751849.511 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751849.516 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1543751849.516 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751849.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751849.517 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751849.518 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1543751849.520 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751849.520 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.520 * [misc]backup-simplify: Simplify 0 into 0 1543751849.520 * [misc]backup-simplify: Simplify 0 into 0 1543751849.520 * [misc]backup-simplify: Simplify 0 into 0 1543751849.520 * [misc]backup-simplify: Simplify 0 into 0 1543751849.521 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751849.529 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1543751849.529 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751849.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751849.530 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.530 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751849.531 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1543751849.534 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1543751849.534 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.534 * [misc]backup-simplify: Simplify 0 into 0 1543751849.534 * [misc]backup-simplify: Simplify 0 into 0 1543751849.535 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1543751849.535 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751849.535 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1543751849.535 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751849.535 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1543751849.535 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1543751849.535 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751849.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.535 * [misc]taylor: Taking taylor expansion of k in k 1543751849.535 * [misc]backup-simplify: Simplify 0 into 0 1543751849.535 * [misc]backup-simplify: Simplify 1 into 1 1543751849.536 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.536 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.536 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1543751849.536 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1543751849.536 * [misc]taylor: Taking taylor expansion of -1 in k 1543751849.536 * [misc]backup-simplify: Simplify -1 into -1 1543751849.536 * [misc]taylor: Taking taylor expansion of n in k 1543751849.536 * [misc]backup-simplify: Simplify n into n 1543751849.536 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1543751849.536 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1543751849.536 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.536 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.536 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1543751849.537 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751849.537 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of k in n 1543751849.537 * [misc]backup-simplify: Simplify k into k 1543751849.537 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.537 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751849.537 * [misc]taylor: Taking taylor expansion of -1 in n 1543751849.537 * [misc]backup-simplify: Simplify -1 into -1 1543751849.537 * [misc]taylor: Taking taylor expansion of n in n 1543751849.537 * [misc]backup-simplify: Simplify 0 into 0 1543751849.537 * [misc]backup-simplify: Simplify 1 into 1 1543751849.537 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751849.538 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751849.538 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.538 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751849.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751849.538 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751849.539 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751849.539 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of k in n 1543751849.539 * [misc]backup-simplify: Simplify k into k 1543751849.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.539 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751849.539 * [misc]taylor: Taking taylor expansion of -1 in n 1543751849.539 * [misc]backup-simplify: Simplify -1 into -1 1543751849.539 * [misc]taylor: Taking taylor expansion of n in n 1543751849.539 * [misc]backup-simplify: Simplify 0 into 0 1543751849.539 * [misc]backup-simplify: Simplify 1 into 1 1543751849.540 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751849.540 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751849.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.540 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751849.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751849.541 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751849.541 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751849.541 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1543751849.541 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1543751849.541 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751849.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.541 * [misc]taylor: Taking taylor expansion of k in k 1543751849.541 * [misc]backup-simplify: Simplify 0 into 0 1543751849.541 * [misc]backup-simplify: Simplify 1 into 1 1543751849.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.542 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1543751849.542 * [misc]taylor: Taking taylor expansion of (log -1) in k 1543751849.542 * [misc]taylor: Taking taylor expansion of -1 in k 1543751849.542 * [misc]backup-simplify: Simplify -1 into -1 1543751849.542 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751849.542 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751849.542 * [misc]taylor: Taking taylor expansion of n in k 1543751849.542 * [misc]backup-simplify: Simplify n into n 1543751849.542 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751849.542 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.542 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.542 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751849.543 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1543751849.543 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1543751849.543 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751849.544 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751849.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751849.547 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1543751849.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751849.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751849.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751849.548 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1543751849.549 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751849.549 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.549 * [misc]backup-simplify: Simplify 0 into 0 1543751849.549 * [misc]backup-simplify: Simplify 0 into 0 1543751849.549 * [misc]backup-simplify: Simplify 0 into 0 1543751849.550 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751849.555 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1543751849.555 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751849.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751849.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751849.556 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1543751849.558 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751849.558 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.559 * [misc]backup-simplify: Simplify 0 into 0 1543751849.559 * [misc]backup-simplify: Simplify 0 into 0 1543751849.559 * [misc]backup-simplify: Simplify 0 into 0 1543751849.559 * [misc]backup-simplify: Simplify 0 into 0 1543751849.559 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751849.566 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1543751849.567 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751849.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751849.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751849.568 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1543751849.571 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1543751849.572 * [misc]taylor: Taking taylor expansion of 0 in k 1543751849.572 * [misc]backup-simplify: Simplify 0 into 0 1543751849.572 * [misc]backup-simplify: Simplify 0 into 0 1543751849.572 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1543751849.572 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1543751849.573 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) 1543751849.573 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in (k n) around 0 1543751849.573 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.573 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.573 * [misc]taylor: Taking taylor expansion of k in n 1543751849.573 * [misc]backup-simplify: Simplify k into k 1543751849.573 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.573 * [misc]taylor: Taking taylor expansion of n in n 1543751849.573 * [misc]backup-simplify: Simplify 0 into 0 1543751849.573 * [misc]backup-simplify: Simplify 1 into 1 1543751849.573 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.573 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751849.574 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751849.574 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751849.574 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.574 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1543751849.574 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1543751849.574 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1543751849.574 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1543751849.574 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1543751849.574 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1543751849.574 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751849.574 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.574 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751849.574 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.574 * [misc]taylor: Taking taylor expansion of k in n 1543751849.574 * [misc]backup-simplify: Simplify k into k 1543751849.575 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.575 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.575 * [misc]backup-simplify: Simplify 2 into 2 1543751849.575 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.575 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751849.575 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751849.575 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751849.575 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1543751849.576 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1543751849.576 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1543751849.576 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1543751849.576 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1543751849.576 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751849.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.576 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751849.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.576 * [misc]taylor: Taking taylor expansion of k in n 1543751849.576 * [misc]backup-simplify: Simplify k into k 1543751849.576 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.576 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.576 * [misc]backup-simplify: Simplify PI into PI 1543751849.576 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.576 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751849.576 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751849.577 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751849.577 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1543751849.577 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1543751849.577 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1543751849.577 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.577 * [misc]taylor: Taking taylor expansion of k in n 1543751849.577 * [misc]backup-simplify: Simplify k into k 1543751849.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.578 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1543751849.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751849.578 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1543751849.578 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.578 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.578 * [misc]taylor: Taking taylor expansion of k in k 1543751849.578 * [misc]backup-simplify: Simplify 0 into 0 1543751849.578 * [misc]backup-simplify: Simplify 1 into 1 1543751849.578 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751849.578 * [misc]taylor: Taking taylor expansion of n in k 1543751849.578 * [misc]backup-simplify: Simplify n into n 1543751849.578 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751849.579 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.579 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.579 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.579 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1543751849.579 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1543751849.579 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1543751849.579 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1543751849.579 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1543751849.579 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1543751849.579 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.579 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.579 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.579 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.580 * [misc]taylor: Taking taylor expansion of k in k 1543751849.580 * [misc]backup-simplify: Simplify 0 into 0 1543751849.580 * [misc]backup-simplify: Simplify 1 into 1 1543751849.580 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751849.580 * [misc]taylor: Taking taylor expansion of 2 in k 1543751849.580 * [misc]backup-simplify: Simplify 2 into 2 1543751849.580 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.580 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.580 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.580 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.581 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1543751849.581 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1543751849.581 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751849.581 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751849.581 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751849.581 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.581 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.582 * [misc]taylor: Taking taylor expansion of k in k 1543751849.582 * [misc]backup-simplify: Simplify 0 into 0 1543751849.582 * [misc]backup-simplify: Simplify 1 into 1 1543751849.582 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.582 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.582 * [misc]backup-simplify: Simplify PI into PI 1543751849.582 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.582 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.582 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.583 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.583 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751849.584 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751849.584 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751849.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.584 * [misc]taylor: Taking taylor expansion of k in k 1543751849.584 * [misc]backup-simplify: Simplify 0 into 0 1543751849.584 * [misc]backup-simplify: Simplify 1 into 1 1543751849.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.584 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.585 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751849.585 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.585 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.585 * [misc]taylor: Taking taylor expansion of k in k 1543751849.585 * [misc]backup-simplify: Simplify 0 into 0 1543751849.585 * [misc]backup-simplify: Simplify 1 into 1 1543751849.585 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751849.585 * [misc]taylor: Taking taylor expansion of n in k 1543751849.585 * [misc]backup-simplify: Simplify n into n 1543751849.586 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751849.586 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.586 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.586 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.586 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1543751849.586 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1543751849.586 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1543751849.586 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1543751849.586 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1543751849.586 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1543751849.586 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.586 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.586 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.587 * [misc]taylor: Taking taylor expansion of k in k 1543751849.587 * [misc]backup-simplify: Simplify 0 into 0 1543751849.587 * [misc]backup-simplify: Simplify 1 into 1 1543751849.587 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751849.587 * [misc]taylor: Taking taylor expansion of 2 in k 1543751849.587 * [misc]backup-simplify: Simplify 2 into 2 1543751849.587 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.587 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.587 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.587 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.588 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1543751849.588 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1543751849.588 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1543751849.588 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1543751849.588 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1543751849.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751849.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.588 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751849.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.588 * [misc]taylor: Taking taylor expansion of k in k 1543751849.589 * [misc]backup-simplify: Simplify 0 into 0 1543751849.589 * [misc]backup-simplify: Simplify 1 into 1 1543751849.589 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.589 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.589 * [misc]backup-simplify: Simplify PI into PI 1543751849.589 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.589 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751849.589 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.589 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751849.590 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751849.591 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1543751849.591 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1543751849.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.591 * [misc]taylor: Taking taylor expansion of k in k 1543751849.591 * [misc]backup-simplify: Simplify 0 into 0 1543751849.591 * [misc]backup-simplify: Simplify 1 into 1 1543751849.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.591 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.592 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751849.593 * [misc]backup-simplify: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 1543751849.593 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 1543751849.594 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1543751849.594 * [misc]taylor: Taking taylor expansion of 0 in n 1543751849.594 * [misc]backup-simplify: Simplify 0 into 0 1543751849.594 * [misc]backup-simplify: Simplify 0 into 0 1543751849.597 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751849.597 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751849.597 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.597 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1543751849.603 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1543751849.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751849.606 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751849.606 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.606 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.607 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1543751849.610 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1543751849.614 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 1543751849.617 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751849.618 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751849.618 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.618 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.618 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1543751849.619 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1543751849.624 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1543751849.627 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1543751849.627 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1543751849.627 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751849.628 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.628 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.628 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751849.628 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.628 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.628 * [misc]backup-simplify: Simplify 2 into 2 1543751849.628 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.628 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.628 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.628 * [misc]taylor: Taking taylor expansion of n in n 1543751849.628 * [misc]backup-simplify: Simplify 0 into 0 1543751849.628 * [misc]backup-simplify: Simplify 1 into 1 1543751849.628 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.628 * [misc]backup-simplify: Simplify PI into PI 1543751849.629 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.630 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.630 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.630 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.630 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751849.631 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.631 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.631 * [misc]backup-simplify: Simplify 0 into 0 1543751849.631 * [misc]backup-simplify: Simplify 0 into 0 1543751849.631 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751849.632 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751849.638 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1543751849.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751849.638 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.640 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1543751849.646 * [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))) 1543751849.651 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751849.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751849.651 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.652 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1543751849.657 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1543751849.668 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 1543751849.669 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751849.670 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751849.670 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.670 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1543751849.671 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1543751849.683 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1543751849.693 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 1543751849.693 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n 1543751849.693 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n 1543751849.693 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1543751849.693 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.693 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.693 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1543751849.693 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1543751849.693 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.693 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.693 * [misc]backup-simplify: Simplify 2 into 2 1543751849.693 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.694 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.694 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.694 * [misc]backup-simplify: Simplify 2 into 2 1543751849.694 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.694 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.694 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.694 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.694 * [misc]taylor: Taking taylor expansion of n in n 1543751849.694 * [misc]backup-simplify: Simplify 0 into 0 1543751849.694 * [misc]backup-simplify: Simplify 1 into 1 1543751849.694 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.694 * [misc]backup-simplify: Simplify PI into PI 1543751849.694 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.695 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.695 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.695 * [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 n)) (sqrt (* n PI))))))))) in n 1543751849.695 * [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 n)) (sqrt (* n PI)))))))) in n 1543751849.695 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1543751849.695 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.695 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1543751849.695 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1543751849.695 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.695 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.695 * [misc]backup-simplify: Simplify 2 into 2 1543751849.695 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.696 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.696 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.696 * [misc]backup-simplify: Simplify PI into PI 1543751849.696 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.696 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751849.696 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751849.696 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.696 * [misc]backup-simplify: Simplify PI into PI 1543751849.696 * [misc]taylor: Taking taylor expansion of n in n 1543751849.696 * [misc]backup-simplify: Simplify 0 into 0 1543751849.696 * [misc]backup-simplify: Simplify 1 into 1 1543751849.696 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751849.696 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751849.697 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.697 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.697 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.697 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.697 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.697 * [misc]backup-simplify: Simplify 2 into 2 1543751849.697 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.697 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.697 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.697 * [misc]taylor: Taking taylor expansion of n in n 1543751849.697 * [misc]backup-simplify: Simplify 0 into 0 1543751849.697 * [misc]backup-simplify: Simplify 1 into 1 1543751849.697 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.697 * [misc]backup-simplify: Simplify PI into PI 1543751849.698 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.698 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.698 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.699 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.699 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.699 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.699 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.699 * [misc]backup-simplify: Simplify 2 into 2 1543751849.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.699 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of n in n 1543751849.699 * [misc]backup-simplify: Simplify 0 into 0 1543751849.699 * [misc]backup-simplify: Simplify 1 into 1 1543751849.699 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.699 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.699 * [misc]taylor: Taking taylor expansion of n in n 1543751849.699 * [misc]backup-simplify: Simplify 0 into 0 1543751849.699 * [misc]backup-simplify: Simplify 1 into 1 1543751849.699 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.699 * [misc]backup-simplify: Simplify PI into PI 1543751849.699 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.700 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.701 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1543751849.701 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1543751849.701 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.701 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1543751849.702 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1543751849.702 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.702 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751849.702 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.702 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.702 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1543751849.703 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.703 * [misc]backup-simplify: Simplify 0 into 0 1543751849.704 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751849.706 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751849.707 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751849.708 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751849.708 * [misc]backup-simplify: Simplify 0 into 0 1543751849.708 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751849.709 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751849.713 * [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 1543751849.714 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751849.714 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.714 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1543751849.720 * [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))) 1543751849.724 * [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 1543751849.724 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751849.725 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1543751849.731 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1543751849.743 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) 1543751849.745 * [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 1543751849.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1543751849.745 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1543751849.747 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1543751849.800 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 1543751849.855 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 1543751849.855 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.855 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.855 * [misc]backup-simplify: Simplify 2 into 2 1543751849.855 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.855 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.855 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1543751849.855 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.856 * [misc]taylor: Taking taylor expansion of n in n 1543751849.856 * [misc]backup-simplify: Simplify 0 into 0 1543751849.856 * [misc]backup-simplify: Simplify 1 into 1 1543751849.856 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.856 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.856 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.856 * [misc]taylor: Taking taylor expansion of n in n 1543751849.856 * [misc]backup-simplify: Simplify 0 into 0 1543751849.856 * [misc]backup-simplify: Simplify 1 into 1 1543751849.856 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.856 * [misc]backup-simplify: Simplify PI into PI 1543751849.856 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.857 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.857 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.857 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n 1543751849.857 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n 1543751849.857 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1543751849.857 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.857 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.857 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1543751849.857 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1543751849.857 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.857 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.857 * [misc]backup-simplify: Simplify 2 into 2 1543751849.858 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.858 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.858 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1543751849.858 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.858 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.858 * [misc]backup-simplify: Simplify PI into PI 1543751849.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.858 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751849.858 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751849.858 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.858 * [misc]backup-simplify: Simplify PI into PI 1543751849.858 * [misc]taylor: Taking taylor expansion of n in n 1543751849.858 * [misc]backup-simplify: Simplify 0 into 0 1543751849.858 * [misc]backup-simplify: Simplify 1 into 1 1543751849.858 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751849.859 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751849.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.859 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.859 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.859 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.859 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.859 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.859 * [misc]backup-simplify: Simplify 2 into 2 1543751849.860 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.860 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.860 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.860 * [misc]backup-simplify: Simplify 2 into 2 1543751849.860 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.860 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.860 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.860 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.860 * [misc]taylor: Taking taylor expansion of n in n 1543751849.860 * [misc]backup-simplify: Simplify 0 into 0 1543751849.860 * [misc]backup-simplify: Simplify 1 into 1 1543751849.860 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.860 * [misc]backup-simplify: Simplify PI into PI 1543751849.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.861 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.861 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.861 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n 1543751849.861 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n 1543751849.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1543751849.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.861 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1543751849.861 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.861 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.861 * [misc]backup-simplify: Simplify 2 into 2 1543751849.861 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.861 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.861 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.862 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.862 * [misc]taylor: Taking taylor expansion of n in n 1543751849.862 * [misc]backup-simplify: Simplify 0 into 0 1543751849.862 * [misc]backup-simplify: Simplify 1 into 1 1543751849.862 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.862 * [misc]backup-simplify: Simplify PI into PI 1543751849.862 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.862 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.863 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.863 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.863 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.863 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.863 * [misc]backup-simplify: Simplify 2 into 2 1543751849.863 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.863 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.863 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of n in n 1543751849.863 * [misc]backup-simplify: Simplify 0 into 0 1543751849.863 * [misc]backup-simplify: Simplify 1 into 1 1543751849.863 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.863 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.863 * [misc]taylor: Taking taylor expansion of n in n 1543751849.863 * [misc]backup-simplify: Simplify 0 into 0 1543751849.863 * [misc]backup-simplify: Simplify 1 into 1 1543751849.863 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.863 * [misc]backup-simplify: Simplify PI into PI 1543751849.864 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.864 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.865 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.865 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.865 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.865 * [misc]backup-simplify: Simplify 2 into 2 1543751849.865 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.865 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.865 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.865 * [misc]backup-simplify: Simplify PI into PI 1543751849.865 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.865 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751849.865 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.865 * [misc]backup-simplify: Simplify PI into PI 1543751849.865 * [misc]taylor: Taking taylor expansion of n in n 1543751849.865 * [misc]backup-simplify: Simplify 0 into 0 1543751849.865 * [misc]backup-simplify: Simplify 1 into 1 1543751849.866 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751849.866 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751849.866 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.867 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.867 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.867 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.867 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.867 * [misc]backup-simplify: Simplify 2 into 2 1543751849.867 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.867 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.867 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.867 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.867 * [misc]backup-simplify: Simplify PI into PI 1543751849.868 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.868 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.868 * [misc]taylor: Taking taylor expansion of n in n 1543751849.868 * [misc]backup-simplify: Simplify 0 into 0 1543751849.868 * [misc]backup-simplify: Simplify 1 into 1 1543751849.868 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.868 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751849.868 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751849.868 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.868 * [misc]backup-simplify: Simplify PI into PI 1543751849.868 * [misc]taylor: Taking taylor expansion of n in n 1543751849.868 * [misc]backup-simplify: Simplify 0 into 0 1543751849.868 * [misc]backup-simplify: Simplify 1 into 1 1543751849.868 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751849.868 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751849.869 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.869 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.869 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.869 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.869 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.869 * [misc]backup-simplify: Simplify 2 into 2 1543751849.869 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.869 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.869 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.869 * [misc]backup-simplify: Simplify 2 into 2 1543751849.869 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.870 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.870 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751849.870 * [misc]taylor: Taking taylor expansion of n in n 1543751849.870 * [misc]backup-simplify: Simplify 0 into 0 1543751849.870 * [misc]backup-simplify: Simplify 1 into 1 1543751849.870 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.870 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.870 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.870 * [misc]taylor: Taking taylor expansion of n in n 1543751849.870 * [misc]backup-simplify: Simplify 0 into 0 1543751849.870 * [misc]backup-simplify: Simplify 1 into 1 1543751849.870 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.870 * [misc]backup-simplify: Simplify PI into PI 1543751849.870 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.870 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.871 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.871 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.871 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.871 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.871 * [misc]backup-simplify: Simplify 2 into 2 1543751849.871 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.871 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.871 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.871 * [misc]backup-simplify: Simplify 2 into 2 1543751849.871 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.872 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.872 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.872 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.872 * [misc]backup-simplify: Simplify PI into PI 1543751849.872 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.872 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1543751849.872 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1543751849.872 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.872 * [misc]backup-simplify: Simplify PI into PI 1543751849.872 * [misc]taylor: Taking taylor expansion of n in n 1543751849.872 * [misc]backup-simplify: Simplify 0 into 0 1543751849.872 * [misc]backup-simplify: Simplify 1 into 1 1543751849.872 * [misc]backup-simplify: Simplify (* PI 0) into 0 1543751849.873 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1543751849.873 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.873 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.873 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1543751849.873 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1543751849.873 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751849.873 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751849.873 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1543751849.873 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1543751849.873 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.873 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.873 * [misc]backup-simplify: Simplify 2 into 2 1543751849.873 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.873 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1543751849.873 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.873 * [misc]backup-simplify: Simplify 2 into 2 1543751849.873 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1543751849.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1543751849.874 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1543751849.874 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1543751849.874 * [misc]taylor: Taking taylor expansion of n in n 1543751849.874 * [misc]backup-simplify: Simplify 0 into 0 1543751849.874 * [misc]backup-simplify: Simplify 1 into 1 1543751849.874 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.874 * [misc]backup-simplify: Simplify PI into PI 1543751849.874 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1543751849.874 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1543751849.874 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751849.875 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1543751849.875 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.875 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.875 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1543751849.876 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1543751849.876 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1543751849.876 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.877 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1543751849.878 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1543751849.879 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1543751849.879 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.880 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1543751849.880 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1543751849.881 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1543751849.881 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.881 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1543751849.881 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.882 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.882 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1543751849.882 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1543751849.882 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.882 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1543751849.883 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1543751849.883 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.883 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.884 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1543751849.884 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1543751849.885 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1543751849.885 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.886 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1543751849.886 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1543751849.886 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1543751849.887 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.888 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1543751849.889 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1543751849.891 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1543751849.891 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.892 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1543751849.892 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1543751849.892 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1543751849.892 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.893 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.893 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.893 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.894 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.894 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.894 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify (- 0) into 0 1543751849.895 * [misc]backup-simplify: Simplify 0 into 0 1543751849.898 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751849.898 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1543751849.900 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1543751849.903 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1543751849.906 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751849.907 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1543751849.909 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1543751849.912 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1543751849.913 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751849.915 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1543751849.918 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1543751849.918 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751849.919 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1543751849.919 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1543751849.920 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1543751849.921 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1543751849.922 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1543751849.924 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1543751849.928 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1543751849.932 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1543751849.939 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) 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))))))))) 1543751849.950 * [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))))))))) 1543751849.958 * [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))))))))) 1543751849.959 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1543751849.961 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1543751849.963 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1543751849.966 * [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)))) 1543751849.971 * [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)))) 1543751849.974 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1543751849.976 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1543751849.988 * [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))))))))))))))) 1543751849.990 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (pow 2 (- 1/2 (/ (/ 1 k) 2)))))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) 1543751849.990 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in (k n) around 0 1543751849.990 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.990 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.991 * [misc]taylor: Taking taylor expansion of k in n 1543751849.991 * [misc]backup-simplify: Simplify k into k 1543751849.991 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.991 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751849.991 * [misc]taylor: Taking taylor expansion of 2 in n 1543751849.991 * [misc]backup-simplify: Simplify 2 into 2 1543751849.991 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.991 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.991 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751849.991 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751849.992 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.992 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751849.992 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.992 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.992 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of k in n 1543751849.992 * [misc]backup-simplify: Simplify k into k 1543751849.992 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.992 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751849.992 * [misc]taylor: Taking taylor expansion of PI in n 1543751849.993 * [misc]backup-simplify: Simplify PI into PI 1543751849.993 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.993 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.993 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751849.993 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751849.994 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751849.994 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751849.994 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751849.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of k in n 1543751849.994 * [misc]backup-simplify: Simplify k into k 1543751849.994 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751849.994 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751849.994 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751849.995 * [misc]taylor: Taking taylor expansion of n in n 1543751849.995 * [misc]backup-simplify: Simplify 0 into 0 1543751849.995 * [misc]backup-simplify: Simplify 1 into 1 1543751849.995 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.995 * [misc]backup-simplify: Simplify (log 1) into 0 1543751849.995 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751849.995 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751849.995 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751849.995 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751849.996 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751849.996 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751849.996 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1543751849.996 * [misc]taylor: Taking taylor expansion of k in n 1543751849.996 * [misc]backup-simplify: Simplify k into k 1543751849.996 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1543751849.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1543751849.996 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.996 * [misc]taylor: Taking taylor expansion of k in k 1543751849.996 * [misc]backup-simplify: Simplify 0 into 0 1543751849.997 * [misc]backup-simplify: Simplify 1 into 1 1543751849.997 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.997 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751849.997 * [misc]taylor: Taking taylor expansion of 2 in k 1543751849.997 * [misc]backup-simplify: Simplify 2 into 2 1543751849.997 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751849.997 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.997 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751849.997 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751849.998 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1543751849.998 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751849.998 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751849.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751849.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751849.998 * [misc]taylor: Taking taylor expansion of k in k 1543751849.998 * [misc]backup-simplify: Simplify 0 into 0 1543751849.998 * [misc]backup-simplify: Simplify 1 into 1 1543751849.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751849.999 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751849.999 * [misc]taylor: Taking taylor expansion of PI in k 1543751849.999 * [misc]backup-simplify: Simplify PI into PI 1543751849.999 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751849.999 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751849.999 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.000 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.000 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751850.001 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.001 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.001 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.001 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of k in k 1543751850.001 * [misc]backup-simplify: Simplify 0 into 0 1543751850.001 * [misc]backup-simplify: Simplify 1 into 1 1543751850.001 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.001 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1543751850.001 * [misc]taylor: Taking taylor expansion of n in k 1543751850.001 * [misc]backup-simplify: Simplify n into n 1543751850.001 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1543751850.001 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1543751850.002 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.002 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.002 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.002 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1543751850.002 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.002 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751850.002 * [misc]taylor: Taking taylor expansion of k in k 1543751850.002 * [misc]backup-simplify: Simplify 0 into 0 1543751850.002 * [misc]backup-simplify: Simplify 1 into 1 1543751850.002 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751850.003 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751850.003 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.003 * [misc]taylor: Taking taylor expansion of k in k 1543751850.003 * [misc]backup-simplify: Simplify 0 into 0 1543751850.003 * [misc]backup-simplify: Simplify 1 into 1 1543751850.004 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.004 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.004 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.004 * [misc]backup-simplify: Simplify 2 into 2 1543751850.004 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.004 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.004 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.004 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.005 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1543751850.005 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.005 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.005 * [misc]taylor: Taking taylor expansion of k in k 1543751850.005 * [misc]backup-simplify: Simplify 0 into 0 1543751850.005 * [misc]backup-simplify: Simplify 1 into 1 1543751850.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.006 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751850.006 * [misc]taylor: Taking taylor expansion of PI in k 1543751850.006 * [misc]backup-simplify: Simplify PI into PI 1543751850.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.006 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.006 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.006 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.007 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1543751850.007 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.008 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of k in k 1543751850.008 * [misc]backup-simplify: Simplify 0 into 0 1543751850.008 * [misc]backup-simplify: Simplify 1 into 1 1543751850.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.008 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1543751850.008 * [misc]taylor: Taking taylor expansion of n in k 1543751850.008 * [misc]backup-simplify: Simplify n into n 1543751850.008 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1543751850.008 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1543751850.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.009 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1543751850.009 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.009 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1543751850.009 * [misc]taylor: Taking taylor expansion of k in k 1543751850.009 * [misc]backup-simplify: Simplify 0 into 0 1543751850.009 * [misc]backup-simplify: Simplify 1 into 1 1543751850.009 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751850.010 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1543751850.010 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.011 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.012 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1543751850.012 * [misc]taylor: Taking taylor expansion of 0 in n 1543751850.012 * [misc]backup-simplify: Simplify 0 into 0 1543751850.012 * [misc]backup-simplify: Simplify 0 into 0 1543751850.012 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1543751850.013 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1543751850.014 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.014 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.014 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.014 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.014 * [misc]backup-simplify: Simplify 2 into 2 1543751850.014 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.015 * [misc]taylor: Taking taylor expansion of k in n 1543751850.015 * [misc]backup-simplify: Simplify k into k 1543751850.015 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.015 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.015 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.015 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.015 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.016 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.016 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.016 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of k in n 1543751850.016 * [misc]backup-simplify: Simplify k into k 1543751850.016 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.016 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.016 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.016 * [misc]backup-simplify: Simplify PI into PI 1543751850.016 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.017 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.017 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.017 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.017 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751850.018 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.018 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.018 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of k in n 1543751850.018 * [misc]backup-simplify: Simplify k into k 1543751850.018 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.018 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751850.018 * [misc]taylor: Taking taylor expansion of n in n 1543751850.018 * [misc]backup-simplify: Simplify 0 into 0 1543751850.018 * [misc]backup-simplify: Simplify 1 into 1 1543751850.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.019 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.019 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.019 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.019 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.019 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.019 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751850.019 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751850.020 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.021 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.021 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1543751850.022 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.023 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.023 * [misc]backup-simplify: Simplify 0 into 0 1543751850.025 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751850.025 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1543751850.026 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751850.027 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.027 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1543751850.027 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751850.027 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.027 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.027 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751850.027 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.027 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.027 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.027 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.027 * [misc]backup-simplify: Simplify 2 into 2 1543751850.028 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.028 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.028 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.028 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.028 * [misc]taylor: Taking taylor expansion of k in n 1543751850.028 * [misc]backup-simplify: Simplify k into k 1543751850.028 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.028 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.028 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.028 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.029 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.029 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.029 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.029 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.029 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of k in n 1543751850.029 * [misc]backup-simplify: Simplify k into k 1543751850.029 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.029 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.029 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.029 * [misc]backup-simplify: Simplify PI into PI 1543751850.030 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.030 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.030 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.030 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.030 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751850.031 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.031 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.031 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.031 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of k in n 1543751850.031 * [misc]backup-simplify: Simplify k into k 1543751850.031 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.031 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751850.031 * [misc]taylor: Taking taylor expansion of n in n 1543751850.031 * [misc]backup-simplify: Simplify 0 into 0 1543751850.031 * [misc]backup-simplify: Simplify 1 into 1 1543751850.032 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.032 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.032 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.032 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.032 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.032 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.032 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751850.033 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751850.033 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.034 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.035 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1543751850.036 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.037 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.037 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751850.039 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1543751850.040 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.040 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.040 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.040 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.041 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1543751850.042 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.045 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751850.045 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.045 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.045 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.045 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.046 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1543751850.048 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.048 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1543751850.048 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.049 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.051 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751850.052 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1543751850.053 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.054 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1543751850.054 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751850.055 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.055 * [misc]backup-simplify: Simplify 0 into 0 1543751850.055 * [misc]backup-simplify: Simplify 0 into 0 1543751850.056 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751850.056 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751850.057 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1543751850.058 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.058 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1543751850.058 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1543751850.058 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.058 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1543751850.058 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.058 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.059 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.059 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.059 * [misc]backup-simplify: Simplify 2 into 2 1543751850.059 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.059 * [misc]taylor: Taking taylor expansion of k in n 1543751850.059 * [misc]backup-simplify: Simplify k into k 1543751850.059 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.059 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.059 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.060 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.060 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.060 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of k in n 1543751850.060 * [misc]backup-simplify: Simplify k into k 1543751850.060 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.060 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.060 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.060 * [misc]backup-simplify: Simplify PI into PI 1543751850.061 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.061 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.061 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.061 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.061 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1543751850.062 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.062 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of k in n 1543751850.062 * [misc]backup-simplify: Simplify k into k 1543751850.062 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.062 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751850.062 * [misc]taylor: Taking taylor expansion of n in n 1543751850.062 * [misc]backup-simplify: Simplify 0 into 0 1543751850.062 * [misc]backup-simplify: Simplify 1 into 1 1543751850.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.062 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.062 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.062 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.063 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.063 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.063 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751850.063 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751850.063 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.064 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.065 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1543751850.065 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.066 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1543751850.070 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1543751850.071 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1543751850.071 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1543751850.071 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of k in n 1543751850.071 * [misc]backup-simplify: Simplify k into k 1543751850.071 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.071 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.071 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.071 * [misc]backup-simplify: Simplify -1 into -1 1543751850.071 * [misc]taylor: Taking taylor expansion of n in n 1543751850.071 * [misc]backup-simplify: Simplify 0 into 0 1543751850.071 * [misc]backup-simplify: Simplify 1 into 1 1543751850.072 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.072 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.072 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.072 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.072 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.072 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.073 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.073 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of k in n 1543751850.073 * [misc]backup-simplify: Simplify k into k 1543751850.073 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.073 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.073 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.073 * [misc]backup-simplify: Simplify 2 into 2 1543751850.073 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.074 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.074 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.074 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.074 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.074 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751850.074 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751850.074 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.074 * [misc]taylor: Taking taylor expansion of k in n 1543751850.074 * [misc]backup-simplify: Simplify k into k 1543751850.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.075 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.075 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.075 * [misc]backup-simplify: Simplify PI into PI 1543751850.075 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.075 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.076 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751850.076 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.076 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1543751850.076 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1543751850.076 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.076 * [misc]backup-simplify: Simplify -1 into -1 1543751850.076 * [misc]taylor: Taking taylor expansion of k in n 1543751850.076 * [misc]backup-simplify: Simplify k into k 1543751850.076 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1543751850.076 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1543751850.076 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1543751850.077 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1543751850.077 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.078 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.078 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1543751850.079 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of k in k 1543751850.079 * [misc]backup-simplify: Simplify 0 into 0 1543751850.079 * [misc]backup-simplify: Simplify 1 into 1 1543751850.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.079 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1543751850.079 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.079 * [misc]backup-simplify: Simplify -1 into -1 1543751850.079 * [misc]taylor: Taking taylor expansion of n in k 1543751850.079 * [misc]backup-simplify: Simplify n into n 1543751850.079 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1543751850.079 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1543751850.080 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.080 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.080 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1543751850.080 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.080 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.080 * [misc]taylor: Taking taylor expansion of k in k 1543751850.080 * [misc]backup-simplify: Simplify 0 into 0 1543751850.080 * [misc]backup-simplify: Simplify 1 into 1 1543751850.080 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.081 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.081 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.081 * [misc]backup-simplify: Simplify 2 into 2 1543751850.081 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.081 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.081 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.081 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1543751850.082 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.082 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.082 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of k in k 1543751850.082 * [misc]backup-simplify: Simplify 0 into 0 1543751850.082 * [misc]backup-simplify: Simplify 1 into 1 1543751850.082 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.082 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.082 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751850.082 * [misc]taylor: Taking taylor expansion of PI in k 1543751850.082 * [misc]backup-simplify: Simplify PI into PI 1543751850.082 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.083 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.083 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.083 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751850.084 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.084 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751850.084 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751850.084 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.084 * [misc]backup-simplify: Simplify -1 into -1 1543751850.084 * [misc]taylor: Taking taylor expansion of k in k 1543751850.084 * [misc]backup-simplify: Simplify 0 into 0 1543751850.084 * [misc]backup-simplify: Simplify 1 into 1 1543751850.084 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.084 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751850.085 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751850.085 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.086 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.086 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.086 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.087 * [misc]taylor: Taking taylor expansion of k in k 1543751850.087 * [misc]backup-simplify: Simplify 0 into 0 1543751850.087 * [misc]backup-simplify: Simplify 1 into 1 1543751850.087 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.087 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1543751850.087 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1543751850.087 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.087 * [misc]backup-simplify: Simplify -1 into -1 1543751850.087 * [misc]taylor: Taking taylor expansion of n in k 1543751850.087 * [misc]backup-simplify: Simplify n into n 1543751850.087 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1543751850.087 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1543751850.088 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.088 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1543751850.088 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.088 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.088 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.088 * [misc]taylor: Taking taylor expansion of k in k 1543751850.088 * [misc]backup-simplify: Simplify 0 into 0 1543751850.088 * [misc]backup-simplify: Simplify 1 into 1 1543751850.088 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.089 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.089 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.089 * [misc]backup-simplify: Simplify 2 into 2 1543751850.089 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.089 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.089 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.089 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1543751850.090 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.090 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of k in k 1543751850.090 * [misc]backup-simplify: Simplify 0 into 0 1543751850.090 * [misc]backup-simplify: Simplify 1 into 1 1543751850.090 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.090 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.090 * [misc]taylor: Taking taylor expansion of (log PI) in k 1543751850.090 * [misc]taylor: Taking taylor expansion of PI in k 1543751850.092 * [misc]backup-simplify: Simplify PI into PI 1543751850.093 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.093 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.093 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.093 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1543751850.094 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.094 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1543751850.094 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1543751850.094 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.094 * [misc]backup-simplify: Simplify -1 into -1 1543751850.094 * [misc]taylor: Taking taylor expansion of k in k 1543751850.094 * [misc]backup-simplify: Simplify 0 into 0 1543751850.094 * [misc]backup-simplify: Simplify 1 into 1 1543751850.094 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1543751850.095 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1543751850.095 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.096 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.096 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.096 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751850.096 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.096 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.096 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.097 * [misc]backup-simplify: Simplify 2 into 2 1543751850.097 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.097 * [misc]taylor: Taking taylor expansion of k in n 1543751850.097 * [misc]backup-simplify: Simplify k into k 1543751850.097 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.097 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.097 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.097 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.098 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.098 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of k in n 1543751850.098 * [misc]backup-simplify: Simplify k into k 1543751850.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.098 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.098 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.098 * [misc]backup-simplify: Simplify -1 into -1 1543751850.098 * [misc]taylor: Taking taylor expansion of n in n 1543751850.098 * [misc]backup-simplify: Simplify 0 into 0 1543751850.098 * [misc]backup-simplify: Simplify 1 into 1 1543751850.098 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.099 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.099 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.099 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.099 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.099 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.100 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.100 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of k in n 1543751850.100 * [misc]backup-simplify: Simplify k into k 1543751850.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.100 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.100 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.100 * [misc]backup-simplify: Simplify PI into PI 1543751850.100 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.101 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.101 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.101 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751850.101 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.102 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.103 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.103 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.104 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.105 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1543751850.105 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1543751850.106 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751850.107 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1543751850.108 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.108 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.108 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.108 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.108 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of k in n 1543751850.108 * [misc]backup-simplify: Simplify k into k 1543751850.108 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.108 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.108 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.108 * [misc]backup-simplify: Simplify -1 into -1 1543751850.108 * [misc]taylor: Taking taylor expansion of n in n 1543751850.108 * [misc]backup-simplify: Simplify 0 into 0 1543751850.109 * [misc]backup-simplify: Simplify 1 into 1 1543751850.109 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.109 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.109 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.109 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.110 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.110 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.110 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.110 * [misc]backup-simplify: Simplify 2 into 2 1543751850.110 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.110 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.110 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.110 * [misc]taylor: Taking taylor expansion of k in n 1543751850.110 * [misc]backup-simplify: Simplify k into k 1543751850.110 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.111 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.111 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.111 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.111 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.111 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.111 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751850.111 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751850.111 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.111 * [misc]taylor: Taking taylor expansion of k in n 1543751850.111 * [misc]backup-simplify: Simplify k into k 1543751850.111 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.112 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.112 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.112 * [misc]backup-simplify: Simplify PI into PI 1543751850.112 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.112 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.112 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.112 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751850.113 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.113 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.114 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.115 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.116 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.116 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.119 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1543751850.119 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.120 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1543751850.122 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.122 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751850.124 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1543751850.124 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.125 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.125 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.125 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1543751850.127 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.127 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1543751850.127 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.127 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751850.130 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1543751850.132 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.132 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1543751850.133 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1543751850.134 * [misc]backup-simplify: Simplify 0 into 0 1543751850.134 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1543751850.135 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1543751850.135 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751850.136 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1543751850.139 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) 1543751850.139 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.139 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.139 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.139 * [misc]backup-simplify: Simplify 2 into 2 1543751850.139 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.139 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.139 * [misc]taylor: Taking taylor expansion of k in n 1543751850.139 * [misc]backup-simplify: Simplify k into k 1543751850.140 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.140 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.140 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.140 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.140 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.140 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.140 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.140 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.140 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.140 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.140 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.141 * [misc]taylor: Taking taylor expansion of k in n 1543751850.141 * [misc]backup-simplify: Simplify k into k 1543751850.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.141 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.141 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.141 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.141 * [misc]backup-simplify: Simplify -1 into -1 1543751850.141 * [misc]taylor: Taking taylor expansion of n in n 1543751850.141 * [misc]backup-simplify: Simplify 0 into 0 1543751850.141 * [misc]backup-simplify: Simplify 1 into 1 1543751850.141 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.141 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.141 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.141 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.142 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.142 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.142 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.142 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.142 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751850.142 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751850.142 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.142 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.142 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.142 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.142 * [misc]taylor: Taking taylor expansion of k in n 1543751850.142 * [misc]backup-simplify: Simplify k into k 1543751850.143 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.143 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.143 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.143 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.143 * [misc]backup-simplify: Simplify PI into PI 1543751850.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.143 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.143 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.144 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751850.144 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.144 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1543751850.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1543751850.144 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.144 * [misc]taylor: Taking taylor expansion of k in n 1543751850.144 * [misc]backup-simplify: Simplify k into k 1543751850.145 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.145 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.145 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.145 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.145 * [misc]backup-simplify: Simplify -1 into -1 1543751850.145 * [misc]taylor: Taking taylor expansion of n in n 1543751850.145 * [misc]backup-simplify: Simplify 0 into 0 1543751850.145 * [misc]backup-simplify: Simplify 1 into 1 1543751850.145 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.145 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.145 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.145 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.146 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.146 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.146 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.146 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.146 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.146 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.146 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.146 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.146 * [misc]backup-simplify: Simplify 2 into 2 1543751850.146 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.147 * [misc]taylor: Taking taylor expansion of k in n 1543751850.147 * [misc]backup-simplify: Simplify k into k 1543751850.147 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.147 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.147 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.147 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.147 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.147 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.147 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1543751850.148 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1543751850.148 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.148 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.148 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.148 * [misc]taylor: Taking taylor expansion of k in n 1543751850.148 * [misc]backup-simplify: Simplify k into k 1543751850.148 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.148 * [misc]taylor: Taking taylor expansion of (log PI) in n 1543751850.148 * [misc]taylor: Taking taylor expansion of PI in n 1543751850.148 * [misc]backup-simplify: Simplify PI into PI 1543751850.148 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1543751850.148 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.148 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.149 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1543751850.149 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.150 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.150 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.151 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.152 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.152 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1543751850.153 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1543751850.154 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.156 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.157 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.157 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1543751850.161 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1543751850.162 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1543751850.162 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) into (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) 1543751850.162 * [misc]approximate: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in (n k) around 0 1543751850.162 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.162 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.162 * [misc]taylor: Taking taylor expansion of k in k 1543751850.162 * [misc]backup-simplify: Simplify 0 into 0 1543751850.162 * [misc]backup-simplify: Simplify 1 into 1 1543751850.162 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751850.162 * [misc]taylor: Taking taylor expansion of n in k 1543751850.162 * [misc]backup-simplify: Simplify n into n 1543751850.162 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751850.163 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751850.163 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.163 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.163 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1543751850.163 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1543751850.163 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1543751850.163 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1543751850.163 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1543751850.163 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751850.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.163 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751850.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.163 * [misc]taylor: Taking taylor expansion of k in k 1543751850.163 * [misc]backup-simplify: Simplify 0 into 0 1543751850.163 * [misc]backup-simplify: Simplify 1 into 1 1543751850.163 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.163 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.163 * [misc]backup-simplify: Simplify 2 into 2 1543751850.164 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.164 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751850.164 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.164 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.164 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1543751850.165 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1543751850.165 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.165 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.165 * [misc]taylor: Taking taylor expansion of k in n 1543751850.165 * [misc]backup-simplify: Simplify k into k 1543751850.165 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751850.165 * [misc]taylor: Taking taylor expansion of n in n 1543751850.165 * [misc]backup-simplify: Simplify 0 into 0 1543751850.165 * [misc]backup-simplify: Simplify 1 into 1 1543751850.165 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.165 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751850.166 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751850.166 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751850.166 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751850.166 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1543751850.166 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1543751850.166 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1543751850.166 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1543751850.166 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1543751850.166 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751850.166 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.166 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751850.166 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.166 * [misc]taylor: Taking taylor expansion of k in n 1543751850.166 * [misc]backup-simplify: Simplify k into k 1543751850.166 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.166 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.166 * [misc]backup-simplify: Simplify 2 into 2 1543751850.167 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.167 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751850.167 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751850.167 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751850.167 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1543751850.167 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1543751850.167 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1543751850.167 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1543751850.167 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1543751850.167 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1543751850.167 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751850.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.167 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751850.168 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.168 * [misc]taylor: Taking taylor expansion of k in n 1543751850.168 * [misc]backup-simplify: Simplify k into k 1543751850.168 * [misc]taylor: Taking taylor expansion of (log n) in n 1543751850.168 * [misc]taylor: Taking taylor expansion of n in n 1543751850.168 * [misc]backup-simplify: Simplify 0 into 0 1543751850.168 * [misc]backup-simplify: Simplify 1 into 1 1543751850.168 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.168 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751850.168 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751850.168 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751850.168 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751850.168 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1543751850.168 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1543751850.169 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1543751850.169 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1543751850.169 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1543751850.169 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1543751850.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.169 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1543751850.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.169 * [misc]taylor: Taking taylor expansion of k in n 1543751850.169 * [misc]backup-simplify: Simplify k into k 1543751850.169 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.169 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.169 * [misc]backup-simplify: Simplify 2 into 2 1543751850.169 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.169 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1543751850.169 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1543751850.169 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1543751850.169 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1543751850.170 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1543751850.170 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) into (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1543751850.170 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.170 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.170 * [misc]taylor: Taking taylor expansion of k in k 1543751850.170 * [misc]backup-simplify: Simplify 0 into 0 1543751850.170 * [misc]backup-simplify: Simplify 1 into 1 1543751850.170 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751850.170 * [misc]taylor: Taking taylor expansion of n in k 1543751850.171 * [misc]backup-simplify: Simplify n into n 1543751850.171 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751850.171 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751850.171 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.171 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.171 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1543751850.171 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1543751850.171 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 k)))) in k 1543751850.171 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 k))) in k 1543751850.171 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.171 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.171 * [misc]backup-simplify: Simplify 2 into 2 1543751850.171 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.171 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1543751850.171 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.172 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1543751850.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.172 * [misc]taylor: Taking taylor expansion of k in k 1543751850.172 * [misc]backup-simplify: Simplify 0 into 0 1543751850.172 * [misc]backup-simplify: Simplify 1 into 1 1543751850.172 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1543751850.172 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.172 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.172 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1543751850.173 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1543751850.173 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1543751850.173 * [misc]backup-simplify: Simplify (sqrt (* n 2)) into (* (sqrt 2) (sqrt n)) 1543751850.176 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751850.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751850.176 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.176 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log 2))) into 0 1543751850.178 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.180 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1543751850.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1543751850.180 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.180 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.181 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751850.181 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1543751850.182 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.182 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) into 0 1543751850.182 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.182 * [misc]backup-simplify: Simplify 0 into 0 1543751850.182 * [misc]backup-simplify: Simplify 0 into 0 1543751850.182 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751850.183 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.183 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751850.186 * [misc]backup-simplify: Simplify (+ (* (log 2) -1/2) (* 0 1/2)) into (- (* 1/2 (log 2))) 1543751850.189 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1543751850.190 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1543751850.190 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1543751850.190 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.190 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.190 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1543751850.191 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1543751850.192 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1543751850.193 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1543751850.197 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751850.197 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751850.197 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.197 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.198 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1543751850.200 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751850.204 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1543751850.204 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1543751850.204 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.205 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.205 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1543751850.205 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1543751850.207 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751850.208 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k))))))) into 0 1543751850.208 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.208 * [misc]backup-simplify: Simplify 0 into 0 1543751850.208 * [misc]backup-simplify: Simplify 0 into 0 1543751850.208 * [misc]backup-simplify: Simplify 0 into 0 1543751850.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751850.208 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.208 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.212 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751850.213 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1543751850.217 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1543751850.218 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1543751850.219 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1543751850.219 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.219 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1543751850.220 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1543751850.224 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1543751850.226 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1543751850.233 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) (* k 1)) (* (sqrt 2) (sqrt n)))) into (- (+ (* (sqrt 2) (sqrt n)) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt n))) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt n))))) 1543751850.233 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.233 * [misc]approximate: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1543751850.233 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.233 * [misc]taylor: Taking taylor expansion of k in k 1543751850.233 * [misc]backup-simplify: Simplify 0 into 0 1543751850.233 * [misc]backup-simplify: Simplify 1 into 1 1543751850.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.233 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.234 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.234 * [misc]backup-simplify: Simplify 2 into 2 1543751850.234 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.234 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.234 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.234 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.234 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1543751850.234 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.234 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.234 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.235 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.235 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of k in k 1543751850.235 * [misc]backup-simplify: Simplify 0 into 0 1543751850.235 * [misc]backup-simplify: Simplify 1 into 1 1543751850.235 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.235 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1543751850.235 * [misc]taylor: Taking taylor expansion of n in k 1543751850.235 * [misc]backup-simplify: Simplify n into n 1543751850.235 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1543751850.235 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1543751850.235 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.235 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.235 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.235 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1543751850.235 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.235 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.235 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.235 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of k in n 1543751850.236 * [misc]backup-simplify: Simplify k into k 1543751850.236 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.236 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.236 * [misc]backup-simplify: Simplify 2 into 2 1543751850.236 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.236 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.236 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.236 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.236 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.236 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.236 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.237 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.237 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.237 * [misc]taylor: Taking taylor expansion of k in n 1543751850.237 * [misc]backup-simplify: Simplify k into k 1543751850.237 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.237 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751850.237 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751850.237 * [misc]taylor: Taking taylor expansion of n in n 1543751850.237 * [misc]backup-simplify: Simplify 0 into 0 1543751850.237 * [misc]backup-simplify: Simplify 1 into 1 1543751850.237 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.237 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.237 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.237 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.237 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.237 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.237 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751850.237 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751850.237 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1543751850.237 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of k in n 1543751850.238 * [misc]backup-simplify: Simplify k into k 1543751850.238 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.238 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.238 * [misc]backup-simplify: Simplify 2 into 2 1543751850.238 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.238 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.238 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.238 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.238 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1543751850.238 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.238 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1543751850.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.239 * [misc]taylor: Taking taylor expansion of k in n 1543751850.239 * [misc]backup-simplify: Simplify k into k 1543751850.239 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.239 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1543751850.239 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1543751850.239 * [misc]taylor: Taking taylor expansion of n in n 1543751850.239 * [misc]backup-simplify: Simplify 0 into 0 1543751850.239 * [misc]backup-simplify: Simplify 1 into 1 1543751850.239 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.239 * [misc]backup-simplify: Simplify (log 1) into 0 1543751850.239 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.239 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1543751850.239 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1543751850.240 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.240 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1543751850.240 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751850.240 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.240 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.240 * [misc]backup-simplify: Simplify -1 into -1 1543751850.240 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.240 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.240 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.240 * [misc]taylor: Taking taylor expansion of k in k 1543751850.240 * [misc]backup-simplify: Simplify 0 into 0 1543751850.240 * [misc]backup-simplify: Simplify 1 into 1 1543751850.240 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.240 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of n in k 1543751850.241 * [misc]backup-simplify: Simplify n into n 1543751850.241 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751850.241 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.241 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.241 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.241 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1543751850.241 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1543751850.241 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1543751850.241 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.241 * [misc]backup-simplify: Simplify 2 into 2 1543751850.241 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.241 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.241 * [misc]taylor: Taking taylor expansion of k in k 1543751850.241 * [misc]backup-simplify: Simplify 0 into 0 1543751850.241 * [misc]backup-simplify: Simplify 1 into 1 1543751850.242 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.242 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.242 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1543751850.242 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1543751850.242 * [misc]backup-simplify: Simplify (* (log 2) -1/2) into (* -1/2 (log 2)) 1543751850.242 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1543751850.243 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.243 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1543751850.243 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543751850.245 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1543751850.245 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.245 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.245 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.245 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.245 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1543751850.246 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.248 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751850.248 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.248 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.248 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.248 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log 2))) into 0 1543751850.249 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.250 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1543751850.250 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.250 * [misc]backup-simplify: Simplify 0 into 0 1543751850.250 * [misc]backup-simplify: Simplify 0 into 0 1543751850.250 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1543751850.250 * [misc]backup-simplify: Simplify 0 into 0 1543751850.250 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751850.253 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1543751850.253 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.253 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751850.253 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.254 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.254 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1543751850.255 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751850.260 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751850.260 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751850.261 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.261 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1543751850.263 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751850.264 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1543751850.264 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.264 * [misc]backup-simplify: Simplify 0 into 0 1543751850.264 * [misc]backup-simplify: Simplify 0 into 0 1543751850.264 * [misc]backup-simplify: Simplify 0 into 0 1543751850.265 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1543751850.265 * [misc]backup-simplify: Simplify 0 into 0 1543751850.265 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751850.273 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1543751850.273 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751850.274 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.274 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1543751850.275 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1543751850.278 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1543751850.286 * [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 1543751850.286 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.286 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751850.287 * [misc]backup-simplify: Simplify (- 0) into 0 1543751850.287 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.287 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1543751850.291 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1543751850.292 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0 1543751850.292 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.292 * [misc]backup-simplify: Simplify 0 into 0 1543751850.292 * [misc]backup-simplify: Simplify 0 into 0 1543751850.293 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1543751850.293 * [misc]backup-simplify: Simplify (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.293 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0 1543751850.293 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.293 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.293 * [misc]taylor: Taking taylor expansion of k in k 1543751850.293 * [misc]backup-simplify: Simplify 0 into 0 1543751850.293 * [misc]backup-simplify: Simplify 1 into 1 1543751850.294 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.294 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1543751850.294 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1543751850.294 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.294 * [misc]backup-simplify: Simplify -1 into -1 1543751850.294 * [misc]taylor: Taking taylor expansion of n in k 1543751850.294 * [misc]backup-simplify: Simplify n into n 1543751850.294 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1543751850.294 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1543751850.294 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.294 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.295 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1543751850.295 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.295 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of k in k 1543751850.295 * [misc]backup-simplify: Simplify 0 into 0 1543751850.295 * [misc]backup-simplify: Simplify 1 into 1 1543751850.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.295 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.295 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.295 * [misc]backup-simplify: Simplify 2 into 2 1543751850.296 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.296 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.296 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.296 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1543751850.297 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.297 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of k in n 1543751850.297 * [misc]backup-simplify: Simplify k into k 1543751850.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.297 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.297 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.297 * [misc]backup-simplify: Simplify -1 into -1 1543751850.297 * [misc]taylor: Taking taylor expansion of n in n 1543751850.297 * [misc]backup-simplify: Simplify 0 into 0 1543751850.297 * [misc]backup-simplify: Simplify 1 into 1 1543751850.297 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.298 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.298 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.298 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.299 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.299 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.299 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of k in n 1543751850.299 * [misc]backup-simplify: Simplify k into k 1543751850.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.299 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.299 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.299 * [misc]backup-simplify: Simplify 2 into 2 1543751850.299 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.299 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.300 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.300 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.300 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.300 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.300 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of k in n 1543751850.300 * [misc]backup-simplify: Simplify k into k 1543751850.300 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.300 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.300 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1543751850.300 * [misc]taylor: Taking taylor expansion of -1 in n 1543751850.300 * [misc]backup-simplify: Simplify -1 into -1 1543751850.300 * [misc]taylor: Taking taylor expansion of n in n 1543751850.300 * [misc]backup-simplify: Simplify 0 into 0 1543751850.300 * [misc]backup-simplify: Simplify 1 into 1 1543751850.300 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1543751850.301 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.301 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.301 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.301 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.301 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1543751850.301 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.301 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1543751850.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1543751850.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1543751850.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1543751850.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1543751850.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1543751850.301 * [misc]taylor: Taking taylor expansion of k in n 1543751850.301 * [misc]backup-simplify: Simplify k into k 1543751850.301 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1543751850.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1543751850.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.302 * [misc]taylor: Taking taylor expansion of (log 2) in n 1543751850.302 * [misc]taylor: Taking taylor expansion of 2 in n 1543751850.302 * [misc]backup-simplify: Simplify 2 into 2 1543751850.302 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.302 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1543751850.302 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1543751850.302 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1543751850.302 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.303 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1543751850.303 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of (log 2) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of 2 in k 1543751850.303 * [misc]backup-simplify: Simplify 2 into 2 1543751850.303 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1543751850.303 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.303 * [misc]taylor: Taking taylor expansion of k in k 1543751850.303 * [misc]backup-simplify: Simplify 0 into 0 1543751850.303 * [misc]backup-simplify: Simplify 1 into 1 1543751850.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.303 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.303 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.304 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1543751850.304 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1543751850.304 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.304 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of k in k 1543751850.304 * [misc]backup-simplify: Simplify 0 into 0 1543751850.304 * [misc]backup-simplify: Simplify 1 into 1 1543751850.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543751850.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1543751850.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1543751850.304 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of (log -1) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of -1 in k 1543751850.304 * [misc]backup-simplify: Simplify -1 into -1 1543751850.304 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1543751850.304 * [misc]taylor: Taking taylor expansion of (log n) in k 1543751850.304 * [misc]taylor: Taking taylor expansion of n in k 1543751850.304 * [misc]backup-simplify: Simplify n into n 1543751850.304 * [misc]backup-simplify: Simplify (log n) into (log n) 1543751850.304 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1543751850.305 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1543751850.305 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1543751850.305 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1543751850.305 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1543751850.305 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1543751850.305 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1543751850.306 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1543751850.307 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1543751850.308 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.308 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.308 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log 2))) into 0 1543751850.309 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.309 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1543751850.310 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1543751850.311 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1543751850.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1543751850.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.311 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1543751850.312 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1543751850.312 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1543751850.313 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.313 * [misc]backup-simplify: Simplify 0 into 0 1543751850.313 * [misc]backup-simplify: Simplify 0 into 0 1543751850.313 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0 1543751850.313 * [misc]backup-simplify: Simplify 0 into 0 1543751850.316 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1543751850.316 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.316 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751850.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.317 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1543751850.318 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751850.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751850.321 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1543751850.321 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.321 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1543751850.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.322 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1543751850.323 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1543751850.324 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1543751850.324 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.324 * [misc]backup-simplify: Simplify 0 into 0 1543751850.324 * [misc]backup-simplify: Simplify 0 into 0 1543751850.324 * [misc]backup-simplify: Simplify 0 into 0 1543751850.325 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1543751850.325 * [misc]backup-simplify: Simplify 0 into 0 1543751850.329 * [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 1543751850.329 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.329 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751850.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.330 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1543751850.332 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1543751850.332 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543751850.336 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1543751850.337 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1543751850.337 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1543751850.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543751850.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1543751850.338 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1543751850.340 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1543751850.340 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1543751850.340 * [misc]taylor: Taking taylor expansion of 0 in k 1543751850.340 * [misc]backup-simplify: Simplify 0 into 0 1543751850.341 * [misc]backup-simplify: Simplify 0 into 0 1543751850.341 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1543751850.341 * * * [misc]progress: simplifying candidates 1543751850.341 * * * * [misc]progress: [ 1 / 159 ] simplifiying candidate # 1543751850.341 * * * * [misc]progress: [ 2 / 159 ] simplifiying candidate # 1543751850.341 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1543751850.342 * * [misc]simplify: iters left: 3 (5 enodes) 1543751850.343 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1543751850.343 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.343 * * * * [misc]progress: [ 3 / 159 ] simplifiying candidate # 1543751850.343 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1543751850.343 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.346 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.347 * * [misc]simplify: iters left: 3 (11 enodes) 1543751850.349 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1543751850.349 * [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)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.349 * * * * [misc]progress: [ 4 / 159 ] simplifiying candidate # 1543751850.349 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1543751850.350 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.351 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.352 * * [misc]simplify: iters left: 3 (11 enodes) 1543751850.354 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1543751850.354 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.354 * * * * [misc]progress: [ 5 / 159 ] simplifiying candidate # 1543751850.354 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751850.354 * * [misc]simplify: iters left: 4 (5 enodes) 1543751850.356 * * [misc]simplify: iters left: 3 (7 enodes) 1543751850.357 * * [misc]simplify: iters left: 2 (10 enodes) 1543751850.359 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751850.359 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.359 * * * * [misc]progress: [ 6 / 159 ] simplifiying candidate # 1543751850.359 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1543751850.359 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.360 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.362 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1543751850.362 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.362 * * * * [misc]progress: [ 7 / 159 ] simplifiying candidate # 1543751850.362 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1543751850.362 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.363 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.365 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1543751850.365 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.365 * * * * [misc]progress: [ 8 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 9 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 10 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 11 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 12 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 13 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 14 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 15 / 159 ] simplifiying candidate # 1543751850.365 * * * * [misc]progress: [ 16 / 159 ] simplifiying candidate # 1543751850.365 * [enter]simplify: Simplifying (pow n (/ k 2)) 1543751850.366 * * [misc]simplify: iters left: 3 (5 enodes) 1543751850.366 * [exit]simplify: Simplified to (pow n (/ k 2)) 1543751850.367 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (/ (pow n 1/2) (pow n (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.367 * * * * [misc]progress: [ 17 / 159 ] simplifiying candidate # 1543751850.367 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1543751850.367 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.368 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.370 * * [misc]simplify: iters left: 3 (11 enodes) 1543751850.371 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1543751850.371 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.371 * * * * [misc]progress: [ 18 / 159 ] simplifiying candidate # 1543751850.372 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1543751850.372 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.373 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.374 * * [misc]simplify: iters left: 3 (11 enodes) 1543751850.376 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1543751850.376 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.376 * * * * [misc]progress: [ 19 / 159 ] simplifiying candidate # 1543751850.376 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751850.377 * * [misc]simplify: iters left: 4 (5 enodes) 1543751850.378 * * [misc]simplify: iters left: 3 (7 enodes) 1543751850.379 * * [misc]simplify: iters left: 2 (10 enodes) 1543751850.381 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751850.381 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (pow n 1) (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.381 * * * * [misc]progress: [ 20 / 159 ] simplifiying candidate # 1543751850.381 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1543751850.381 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.382 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.384 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1543751850.384 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n 1/2) (pow n (/ (- k) 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.384 * * * * [misc]progress: [ 21 / 159 ] simplifiying candidate # 1543751850.384 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1543751850.385 * * [misc]simplify: iters left: 5 (6 enodes) 1543751850.387 * * [misc]simplify: iters left: 4 (8 enodes) 1543751850.390 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1543751850.390 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n 1/2) (pow n (/ (- k) 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751850.390 * * * * [misc]progress: [ 22 / 159 ] simplifiying candidate # 1543751850.390 * * * * [misc]progress: [ 23 / 159 ] simplifiying candidate # 1543751850.390 * * * * [misc]progress: [ 24 / 159 ] simplifiying candidate # 1543751850.391 * * * * [misc]progress: [ 25 / 159 ] simplifiying candidate # 1543751850.391 * * * * [misc]progress: [ 26 / 159 ] simplifiying candidate # 1543751850.391 * * * * [misc]progress: [ 27 / 159 ] simplifiying candidate # 1543751850.391 * * * * [misc]progress: [ 28 / 159 ] simplifiying candidate # 1543751850.391 * * * * [misc]progress: [ 29 / 159 ] simplifiying candidate # 1543751850.391 * * * * [misc]progress: [ 30 / 159 ] simplifiying candidate # 1543751850.391 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (+ (* (log n) (- 1/2 (/ k 2))) (* (log 2) (- 1/2 (/ k 2)))))) 1543751850.393 * * [misc]simplify: iters left: 6 (18 enodes) 1543751850.403 * * [misc]simplify: iters left: 5 (34 enodes) 1543751850.422 * * [misc]simplify: iters left: 4 (83 enodes) 1543751850.497 * * [misc]simplify: iters left: 3 (270 enodes) 1543751850.743 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log 2) (log n)) (log PI))) (log (sqrt k))) 1543751850.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log 2) (log n)) (log PI))) (log (sqrt k))))) 1543751850.743 * * * * [misc]progress: [ 31 / 159 ] simplifiying candidate # 1543751850.743 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (+ (* (log n) (- 1/2 (/ k 2))) (log (pow 2 (- 1/2 (/ k 2))))))) 1543751850.745 * * [misc]simplify: iters left: 6 (18 enodes) 1543751850.750 * * [misc]simplify: iters left: 5 (33 enodes) 1543751850.759 * * [misc]simplify: iters left: 4 (74 enodes) 1543751850.813 * * [misc]simplify: iters left: 3 (211 enodes) 1543751851.052 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751851.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751851.052 * * * * [misc]progress: [ 32 / 159 ] simplifiying candidate # 1543751851.052 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (+ (log (pow n (- 1/2 (/ k 2)))) (* (log 2) (- 1/2 (/ k 2)))))) 1543751851.053 * * [misc]simplify: iters left: 6 (18 enodes) 1543751851.059 * * [misc]simplify: iters left: 5 (33 enodes) 1543751851.068 * * [misc]simplify: iters left: 4 (74 enodes) 1543751851.101 * * [misc]simplify: iters left: 3 (215 enodes) 1543751851.373 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751851.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751851.373 * * * * [misc]progress: [ 33 / 159 ] simplifiying candidate # 1543751851.374 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (+ (log (pow n (- 1/2 (/ k 2)))) (log (pow 2 (- 1/2 (/ k 2))))))) 1543751851.376 * * [misc]simplify: iters left: 6 (18 enodes) 1543751851.385 * * [misc]simplify: iters left: 5 (34 enodes) 1543751851.405 * * [misc]simplify: iters left: 4 (70 enodes) 1543751851.436 * * [misc]simplify: iters left: 3 (176 enodes) 1543751851.583 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751851.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751851.583 * * * * [misc]progress: [ 34 / 159 ] simplifiying candidate # 1543751851.583 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751851.585 * * [misc]simplify: iters left: 6 (17 enodes) 1543751851.589 * * [misc]simplify: iters left: 5 (30 enodes) 1543751851.598 * * [misc]simplify: iters left: 4 (59 enodes) 1543751851.615 * * [misc]simplify: iters left: 3 (133 enodes) 1543751851.696 * * [misc]simplify: iters left: 2 (363 enodes) 1543751852.160 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751852.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751852.160 * * * * [misc]progress: [ 35 / 159 ] simplifiying candidate # 1543751852.160 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751852.162 * * [misc]simplify: iters left: 6 (16 enodes) 1543751852.166 * * [misc]simplify: iters left: 5 (27 enodes) 1543751852.172 * * [misc]simplify: iters left: 4 (45 enodes) 1543751852.186 * * [misc]simplify: iters left: 3 (95 enodes) 1543751852.233 * * [misc]simplify: iters left: 2 (203 enodes) 1543751852.470 * [exit]simplify: Simplified to (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (* (- 1/2 (/ k 2)) (log PI))) (log (sqrt k))) 1543751852.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (* (- 1/2 (/ k 2)) (log PI))) (log (sqrt k))))) 1543751852.470 * * * * [misc]progress: [ 36 / 159 ] simplifiying candidate # 1543751852.470 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (+ (* (log n) (- 1/2 (/ k 2))) (* (log 2) (- 1/2 (/ k 2)))))) 1543751852.471 * * [misc]simplify: iters left: 6 (18 enodes) 1543751852.476 * * [misc]simplify: iters left: 5 (35 enodes) 1543751852.487 * * [misc]simplify: iters left: 4 (79 enodes) 1543751852.544 * * [misc]simplify: iters left: 3 (240 enodes) 1543751852.856 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log 2) (log n)) (log PI))) (log (sqrt k))) 1543751852.856 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log 2) (log n)) (log PI))) (log (sqrt k))))) 1543751852.856 * * * * [misc]progress: [ 37 / 159 ] simplifiying candidate # 1543751852.857 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (+ (* (log n) (- 1/2 (/ k 2))) (log (pow 2 (- 1/2 (/ k 2))))))) 1543751852.859 * * [misc]simplify: iters left: 6 (18 enodes) 1543751852.869 * * [misc]simplify: iters left: 5 (34 enodes) 1543751852.887 * * [misc]simplify: iters left: 4 (70 enodes) 1543751852.936 * * [misc]simplify: iters left: 3 (182 enodes) 1543751853.199 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751853.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751853.199 * * * * [misc]progress: [ 38 / 159 ] simplifiying candidate # 1543751853.200 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (+ (log (pow n (- 1/2 (/ k 2)))) (* (log 2) (- 1/2 (/ k 2)))))) 1543751853.202 * * [misc]simplify: iters left: 6 (18 enodes) 1543751853.211 * * [misc]simplify: iters left: 5 (34 enodes) 1543751853.229 * * [misc]simplify: iters left: 4 (70 enodes) 1543751853.278 * * [misc]simplify: iters left: 3 (186 enodes) 1543751853.542 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751853.542 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751853.542 * * * * [misc]progress: [ 39 / 159 ] simplifiying candidate # 1543751853.542 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (+ (log (pow n (- 1/2 (/ k 2)))) (log (pow 2 (- 1/2 (/ k 2))))))) 1543751853.543 * * [misc]simplify: iters left: 6 (18 enodes) 1543751853.548 * * [misc]simplify: iters left: 5 (35 enodes) 1543751853.557 * * [misc]simplify: iters left: 4 (66 enodes) 1543751853.586 * * [misc]simplify: iters left: 3 (145 enodes) 1543751853.794 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 1543751853.794 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 1543751853.794 * * * * [misc]progress: [ 40 / 159 ] simplifiying candidate # 1543751853.795 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751853.796 * * [misc]simplify: iters left: 6 (17 enodes) 1543751853.805 * * [misc]simplify: iters left: 5 (31 enodes) 1543751853.819 * * [misc]simplify: iters left: 4 (55 enodes) 1543751853.847 * * [misc]simplify: iters left: 3 (106 enodes) 1543751853.928 * * [misc]simplify: iters left: 2 (299 enodes) 1543751854.342 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (+ (log 2) (log n)))) (log (sqrt k))) 1543751854.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (+ (log 2) (log n)))) (log (sqrt k))))) 1543751854.342 * * * * [misc]progress: [ 41 / 159 ] simplifiying candidate # 1543751854.342 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751854.344 * * [misc]simplify: iters left: 6 (16 enodes) 1543751854.351 * * [misc]simplify: iters left: 5 (28 enodes) 1543751854.361 * * [misc]simplify: iters left: 4 (41 enodes) 1543751854.380 * * [misc]simplify: iters left: 3 (73 enodes) 1543751854.410 * * [misc]simplify: iters left: 2 (163 enodes) 1543751854.481 * * [misc]simplify: iters left: 1 (457 enodes) 1543751855.149 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (+ (log 2) (log n)))) (log (sqrt k))) 1543751855.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (+ (log 2) (log n)))) (log (sqrt k))))) 1543751855.149 * * * * [misc]progress: [ 42 / 159 ] simplifiying candidate # 1543751855.150 * * * * [misc]progress: [ 43 / 159 ] simplifiying candidate # 1543751855.150 * * * * [misc]progress: [ 44 / 159 ] simplifiying candidate # 1543751855.150 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751855.152 * * [misc]simplify: iters left: 6 (22 enodes) 1543751855.164 * * [misc]simplify: iters left: 5 (44 enodes) 1543751855.201 * * [misc]simplify: iters left: 4 (178 enodes) 1543751855.532 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt k) k)) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (pow (pow 2 (- 1/2 (/ k 2))) 3) (pow (pow n (- 1/2 (/ k 2))) 3))) 1543751855.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt k) k)) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (pow (pow 2 (- 1/2 (/ k 2))) 3) (pow (pow n (- 1/2 (/ k 2))) 3))))) 1543751855.532 * * * * [misc]progress: [ 45 / 159 ] simplifiying candidate # 1543751855.532 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751855.534 * * [misc]simplify: iters left: 6 (20 enodes) 1543751855.543 * * [misc]simplify: iters left: 5 (43 enodes) 1543751855.563 * * [misc]simplify: iters left: 4 (166 enodes) 1543751855.832 * [exit]simplify: Simplified to (* (pow (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 3) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow PI (- 1/2 (/ k 2)))))) 1543751855.832 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 3) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow PI (- 1/2 (/ k 2)))))))) 1543751855.832 * * * * [misc]progress: [ 46 / 159 ] simplifiying candidate # 1543751855.832 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751855.835 * * [misc]simplify: iters left: 6 (18 enodes) 1543751855.845 * * [misc]simplify: iters left: 5 (38 enodes) 1543751855.862 * * [misc]simplify: iters left: 4 (128 enodes) 1543751856.043 * [exit]simplify: Simplified to (pow (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 3) 1543751856.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 3))) 1543751856.043 * * * * [misc]progress: [ 47 / 159 ] simplifiying candidate # 1543751856.043 * * * * [misc]progress: [ 48 / 159 ] simplifiying candidate # 1543751856.044 * * * * [misc]progress: [ 49 / 159 ] simplifiying candidate # 1543751856.044 * * * * [misc]progress: [ 50 / 159 ] simplifiying candidate # 1543751856.044 * * * * [misc]progress: [ 51 / 159 ] simplifiying candidate # 1543751856.044 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.047 * * [misc]simplify: iters left: 6 (16 enodes) 1543751856.053 * * [misc]simplify: iters left: 5 (24 enodes) 1543751856.058 * * [misc]simplify: iters left: 4 (27 enodes) 1543751856.064 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751856.065 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.066 * * [misc]simplify: iters left: 6 (16 enodes) 1543751856.069 * * [misc]simplify: iters left: 5 (22 enodes) 1543751856.072 * * [misc]simplify: iters left: 4 (23 enodes) 1543751856.077 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.077 * * * * [misc]progress: [ 52 / 159 ] simplifiying candidate # 1543751856.077 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.078 * * [misc]simplify: iters left: 6 (15 enodes) 1543751856.081 * * [misc]simplify: iters left: 5 (21 enodes) 1543751856.085 * * [misc]simplify: iters left: 4 (24 enodes) 1543751856.095 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751856.095 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.097 * * [misc]simplify: iters left: 6 (16 enodes) 1543751856.103 * * [misc]simplify: iters left: 5 (22 enodes) 1543751856.110 * * [misc]simplify: iters left: 4 (23 enodes) 1543751856.119 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.119 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.119 * * * * [misc]progress: [ 53 / 159 ] simplifiying candidate # 1543751856.120 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751856.121 * * [misc]simplify: iters left: 6 (14 enodes) 1543751856.127 * * [misc]simplify: iters left: 5 (21 enodes) 1543751856.137 * * [misc]simplify: iters left: 4 (31 enodes) 1543751856.148 * * [misc]simplify: iters left: 3 (43 enodes) 1543751856.162 * * [misc]simplify: iters left: 2 (48 enodes) 1543751856.175 * * [misc]simplify: iters left: 1 (55 enodes) 1543751856.197 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1543751856.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.197 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751856.199 * * [misc]simplify: iters left: 6 (13 enodes) 1543751856.204 * * [misc]simplify: iters left: 5 (18 enodes) 1543751856.211 * * [misc]simplify: iters left: 4 (22 enodes) 1543751856.218 * * [misc]simplify: iters left: 3 (24 enodes) 1543751856.227 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751856.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751856.227 * * * * [misc]progress: [ 54 / 159 ] simplifiying candidate # 1543751856.228 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751856.229 * * [misc]simplify: iters left: 6 (13 enodes) 1543751856.234 * * [misc]simplify: iters left: 5 (18 enodes) 1543751856.241 * * [misc]simplify: iters left: 4 (24 enodes) 1543751856.248 * * [misc]simplify: iters left: 3 (26 enodes) 1543751856.257 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1543751856.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.257 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751856.259 * * [misc]simplify: iters left: 6 (13 enodes) 1543751856.265 * * [misc]simplify: iters left: 5 (18 enodes) 1543751856.271 * * [misc]simplify: iters left: 4 (22 enodes) 1543751856.278 * * [misc]simplify: iters left: 3 (24 enodes) 1543751856.287 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751856.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751856.287 * * * * [misc]progress: [ 55 / 159 ] simplifiying candidate # 1543751856.287 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751856.288 * * [misc]simplify: iters left: 6 (12 enodes) 1543751856.293 * * [misc]simplify: iters left: 5 (19 enodes) 1543751856.299 * * [misc]simplify: iters left: 4 (24 enodes) 1543751856.309 * * [misc]simplify: iters left: 3 (33 enodes) 1543751856.317 * * [misc]simplify: iters left: 2 (36 enodes) 1543751856.321 * * [misc]simplify: iters left: 1 (39 enodes) 1543751856.328 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1543751856.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.328 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751856.328 * * [misc]simplify: iters left: 6 (12 enodes) 1543751856.331 * * [misc]simplify: iters left: 5 (17 enodes) 1543751856.334 * * [misc]simplify: iters left: 4 (21 enodes) 1543751856.337 * * [misc]simplify: iters left: 3 (23 enodes) 1543751856.342 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751856.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.342 * * * * [misc]progress: [ 56 / 159 ] simplifiying candidate # 1543751856.342 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1543751856.342 * * [misc]simplify: iters left: 3 (5 enodes) 1543751856.343 * * [misc]simplify: iters left: 2 (8 enodes) 1543751856.346 * * [misc]simplify: iters left: 1 (10 enodes) 1543751856.348 * [exit]simplify: Simplified to (sqrt PI) 1543751856.348 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.349 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.350 * * [misc]simplify: iters left: 6 (15 enodes) 1543751856.356 * * [misc]simplify: iters left: 5 (23 enodes) 1543751856.363 * * [misc]simplify: iters left: 4 (31 enodes) 1543751856.377 * * [misc]simplify: iters left: 3 (45 enodes) 1543751856.393 * * [misc]simplify: iters left: 2 (61 enodes) 1543751856.410 * * [misc]simplify: iters left: 1 (63 enodes) 1543751856.442 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751856.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.443 * * * * [misc]progress: [ 57 / 159 ] simplifiying candidate # 1543751856.443 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1543751856.443 * * [misc]simplify: iters left: 3 (6 enodes) 1543751856.446 * * [misc]simplify: iters left: 2 (7 enodes) 1543751856.448 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1543751856.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.448 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.450 * * [misc]simplify: iters left: 6 (15 enodes) 1543751856.456 * * [misc]simplify: iters left: 5 (25 enodes) 1543751856.465 * * [misc]simplify: iters left: 4 (33 enodes) 1543751856.478 * * [misc]simplify: iters left: 3 (51 enodes) 1543751856.487 * * [misc]simplify: iters left: 2 (67 enodes) 1543751856.500 * * [misc]simplify: iters left: 1 (90 enodes) 1543751856.544 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) 1543751856.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow 2 (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))))) 1543751856.544 * * * * [misc]progress: [ 58 / 159 ] simplifiying candidate # 1543751856.544 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (* (pow n 1/2) (pow 2 1/2)))) 1543751856.546 * * [misc]simplify: iters left: 6 (12 enodes) 1543751856.552 * * [misc]simplify: iters left: 5 (20 enodes) 1543751856.556 * * [misc]simplify: iters left: 4 (27 enodes) 1543751856.562 * * [misc]simplify: iters left: 3 (41 enodes) 1543751856.571 * * [misc]simplify: iters left: 2 (57 enodes) 1543751856.580 * * [misc]simplify: iters left: 1 (59 enodes) 1543751856.609 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (* (sqrt n) (sqrt 2))) 1543751856.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (* (sqrt n) (sqrt 2))) (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751856.610 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751856.611 * * [misc]simplify: iters left: 6 (11 enodes) 1543751856.616 * * [misc]simplify: iters left: 5 (16 enodes) 1543751856.622 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751856.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (* (sqrt n) (sqrt 2))) (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751856.622 * * * * [misc]progress: [ 59 / 159 ] simplifiying candidate # 1543751856.622 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)))) 1543751856.624 * * [misc]simplify: iters left: 6 (14 enodes) 1543751856.632 * * [misc]simplify: iters left: 5 (23 enodes) 1543751856.641 * * [misc]simplify: iters left: 4 (33 enodes) 1543751856.655 * * [misc]simplify: iters left: 3 (47 enodes) 1543751856.667 * * [misc]simplify: iters left: 2 (63 enodes) 1543751856.676 * * [misc]simplify: iters left: 1 (65 enodes) 1543751856.695 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) 1543751856.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))))) 1543751856.695 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1543751856.696 * * [misc]simplify: iters left: 6 (8 enodes) 1543751856.699 * * [misc]simplify: iters left: 5 (10 enodes) 1543751856.703 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1543751856.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))))) 1543751856.703 * * * * [misc]progress: [ 60 / 159 ] simplifiying candidate # 1543751856.703 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.705 * * [misc]simplify: iters left: 6 (14 enodes) 1543751856.709 * * [misc]simplify: iters left: 5 (23 enodes) 1543751856.713 * * [misc]simplify: iters left: 4 (33 enodes) 1543751856.719 * * [misc]simplify: iters left: 3 (47 enodes) 1543751856.728 * * [misc]simplify: iters left: 2 (63 enodes) 1543751856.738 * * [misc]simplify: iters left: 1 (65 enodes) 1543751856.764 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (pow 2 (- 1/2 (/ k 2)))) 1543751856.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (pow n (/ k 2))))) 1543751856.765 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1543751856.765 * * [misc]simplify: iters left: 6 (9 enodes) 1543751856.769 * * [misc]simplify: iters left: 5 (11 enodes) 1543751856.773 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1543751856.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))))) 1543751856.773 * * * * [misc]progress: [ 61 / 159 ] simplifiying candidate # 1543751856.774 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.775 * * [misc]simplify: iters left: 6 (16 enodes) 1543751856.779 * * [misc]simplify: iters left: 5 (24 enodes) 1543751856.783 * * [misc]simplify: iters left: 4 (27 enodes) 1543751856.790 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751856.790 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.791 * * [misc]simplify: iters left: 6 (16 enodes) 1543751856.794 * * [misc]simplify: iters left: 5 (22 enodes) 1543751856.797 * * [misc]simplify: iters left: 4 (23 enodes) 1543751856.802 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.802 * * * * [misc]progress: [ 62 / 159 ] simplifiying candidate # 1543751856.802 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.803 * * [misc]simplify: iters left: 6 (15 enodes) 1543751856.810 * * [misc]simplify: iters left: 5 (21 enodes) 1543751856.816 * * [misc]simplify: iters left: 4 (24 enodes) 1543751856.826 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.826 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751856.826 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.828 * * [misc]simplify: iters left: 6 (16 enodes) 1543751856.834 * * [misc]simplify: iters left: 5 (22 enodes) 1543751856.841 * * [misc]simplify: iters left: 4 (23 enodes) 1543751856.849 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751856.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751856.849 * * * * [misc]progress: [ 63 / 159 ] simplifiying candidate # 1543751856.849 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751856.850 * * [misc]simplify: iters left: 6 (14 enodes) 1543751856.853 * * [misc]simplify: iters left: 5 (21 enodes) 1543751856.857 * * [misc]simplify: iters left: 4 (31 enodes) 1543751856.863 * * [misc]simplify: iters left: 3 (43 enodes) 1543751856.869 * * [misc]simplify: iters left: 2 (48 enodes) 1543751856.876 * * [misc]simplify: iters left: 1 (55 enodes) 1543751856.900 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1543751856.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.900 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751856.901 * * [misc]simplify: iters left: 6 (13 enodes) 1543751856.906 * * [misc]simplify: iters left: 5 (18 enodes) 1543751856.913 * * [misc]simplify: iters left: 4 (22 enodes) 1543751856.919 * * [misc]simplify: iters left: 3 (24 enodes) 1543751856.929 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1543751856.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1543751856.929 * * * * [misc]progress: [ 64 / 159 ] simplifiying candidate # 1543751856.929 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751856.931 * * [misc]simplify: iters left: 6 (13 enodes) 1543751856.936 * * [misc]simplify: iters left: 5 (18 enodes) 1543751856.942 * * [misc]simplify: iters left: 4 (24 enodes) 1543751856.950 * * [misc]simplify: iters left: 3 (26 enodes) 1543751856.959 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1543751856.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751856.959 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751856.960 * * [misc]simplify: iters left: 6 (13 enodes) 1543751856.965 * * [misc]simplify: iters left: 5 (18 enodes) 1543751856.968 * * [misc]simplify: iters left: 4 (22 enodes) 1543751856.971 * * [misc]simplify: iters left: 3 (24 enodes) 1543751856.976 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1543751856.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1543751856.976 * * * * [misc]progress: [ 65 / 159 ] simplifiying candidate # 1543751856.976 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751856.977 * * [misc]simplify: iters left: 6 (12 enodes) 1543751856.980 * * [misc]simplify: iters left: 5 (19 enodes) 1543751856.984 * * [misc]simplify: iters left: 4 (24 enodes) 1543751856.995 * * [misc]simplify: iters left: 3 (33 enodes) 1543751857.004 * * [misc]simplify: iters left: 2 (36 enodes) 1543751857.013 * * [misc]simplify: iters left: 1 (39 enodes) 1543751857.026 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1543751857.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.026 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751857.027 * * [misc]simplify: iters left: 6 (12 enodes) 1543751857.032 * * [misc]simplify: iters left: 5 (17 enodes) 1543751857.039 * * [misc]simplify: iters left: 4 (21 enodes) 1543751857.045 * * [misc]simplify: iters left: 3 (23 enodes) 1543751857.054 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751857.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751857.054 * * * * [misc]progress: [ 66 / 159 ] simplifiying candidate # 1543751857.054 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1543751857.054 * * [misc]simplify: iters left: 3 (5 enodes) 1543751857.056 * * [misc]simplify: iters left: 2 (8 enodes) 1543751857.060 * * [misc]simplify: iters left: 1 (10 enodes) 1543751857.062 * [exit]simplify: Simplified to (sqrt PI) 1543751857.062 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751857.062 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751857.064 * * [misc]simplify: iters left: 6 (15 enodes) 1543751857.070 * * [misc]simplify: iters left: 5 (23 enodes) 1543751857.078 * * [misc]simplify: iters left: 4 (31 enodes) 1543751857.091 * * [misc]simplify: iters left: 3 (45 enodes) 1543751857.107 * * [misc]simplify: iters left: 2 (61 enodes) 1543751857.123 * * [misc]simplify: iters left: 1 (63 enodes) 1543751857.157 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751857.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.157 * * * * [misc]progress: [ 67 / 159 ] simplifiying candidate # 1543751857.158 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1543751857.158 * * [misc]simplify: iters left: 3 (6 enodes) 1543751857.160 * * [misc]simplify: iters left: 2 (7 enodes) 1543751857.163 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1543751857.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751857.163 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751857.164 * * [misc]simplify: iters left: 6 (15 enodes) 1543751857.171 * * [misc]simplify: iters left: 5 (25 enodes) 1543751857.179 * * [misc]simplify: iters left: 4 (33 enodes) 1543751857.194 * * [misc]simplify: iters left: 3 (51 enodes) 1543751857.213 * * [misc]simplify: iters left: 2 (67 enodes) 1543751857.236 * * [misc]simplify: iters left: 1 (90 enodes) 1543751857.277 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) 1543751857.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow 2 (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))))) 1543751857.277 * * * * [misc]progress: [ 68 / 159 ] simplifiying candidate # 1543751857.277 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (* (pow n 1/2) (pow 2 1/2)))) 1543751857.278 * * [misc]simplify: iters left: 6 (12 enodes) 1543751857.282 * * [misc]simplify: iters left: 5 (20 enodes) 1543751857.286 * * [misc]simplify: iters left: 4 (27 enodes) 1543751857.293 * * [misc]simplify: iters left: 3 (41 enodes) 1543751857.307 * * [misc]simplify: iters left: 2 (57 enodes) 1543751857.323 * * [misc]simplify: iters left: 1 (59 enodes) 1543751857.348 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (* (sqrt n) (sqrt 2))) 1543751857.348 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (* (sqrt n) (sqrt 2))) (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751857.349 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751857.349 * * [misc]simplify: iters left: 6 (11 enodes) 1543751857.352 * * [misc]simplify: iters left: 5 (16 enodes) 1543751857.355 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751857.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (* (sqrt n) (sqrt 2))) (/ (pow PI (- (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751857.355 * * * * [misc]progress: [ 69 / 159 ] simplifiying candidate # 1543751857.355 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)))) 1543751857.358 * * [misc]simplify: iters left: 6 (14 enodes) 1543751857.362 * * [misc]simplify: iters left: 5 (23 enodes) 1543751857.368 * * [misc]simplify: iters left: 4 (33 enodes) 1543751857.375 * * [misc]simplify: iters left: 3 (47 enodes) 1543751857.392 * * [misc]simplify: iters left: 2 (63 enodes) 1543751857.404 * * [misc]simplify: iters left: 1 (65 enodes) 1543751857.418 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) 1543751857.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))))) 1543751857.418 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1543751857.419 * * [misc]simplify: iters left: 6 (8 enodes) 1543751857.420 * * [misc]simplify: iters left: 5 (10 enodes) 1543751857.422 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1543751857.422 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))))) 1543751857.422 * * * * [misc]progress: [ 70 / 159 ] simplifiying candidate # 1543751857.422 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))))) 1543751857.423 * * [misc]simplify: iters left: 6 (14 enodes) 1543751857.429 * * [misc]simplify: iters left: 5 (23 enodes) 1543751857.438 * * [misc]simplify: iters left: 4 (33 enodes) 1543751857.454 * * [misc]simplify: iters left: 3 (47 enodes) 1543751857.471 * * [misc]simplify: iters left: 2 (63 enodes) 1543751857.479 * * [misc]simplify: iters left: 1 (65 enodes) 1543751857.492 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (pow 2 (- 1/2 (/ k 2)))) 1543751857.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (pow n (/ k 2))))) 1543751857.492 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1543751857.493 * * [misc]simplify: iters left: 6 (9 enodes) 1543751857.494 * * [misc]simplify: iters left: 5 (11 enodes) 1543751857.496 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1543751857.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))))) 1543751857.496 * * * * [misc]progress: [ 71 / 159 ] simplifiying candidate # 1543751857.497 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751857.498 * * [misc]simplify: iters left: 6 (18 enodes) 1543751857.504 * * [misc]simplify: iters left: 5 (29 enodes) 1543751857.515 * * [misc]simplify: iters left: 4 (41 enodes) 1543751857.521 * * [misc]simplify: iters left: 3 (44 enodes) 1543751857.527 * * [misc]simplify: iters left: 2 (47 enodes) 1543751857.539 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751857.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751857.540 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.541 * * [misc]simplify: iters left: 6 (16 enodes) 1543751857.544 * * [misc]simplify: iters left: 5 (21 enodes) 1543751857.551 * * [misc]simplify: iters left: 4 (24 enodes) 1543751857.561 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751857.561 * * * * [misc]progress: [ 72 / 159 ] simplifiying candidate # 1543751857.561 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.563 * * [misc]simplify: iters left: 6 (17 enodes) 1543751857.569 * * [misc]simplify: iters left: 5 (24 enodes) 1543751857.573 * * [misc]simplify: iters left: 4 (29 enodes) 1543751857.577 * * [misc]simplify: iters left: 3 (30 enodes) 1543751857.583 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751857.584 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.585 * * [misc]simplify: iters left: 6 (16 enodes) 1543751857.588 * * [misc]simplify: iters left: 5 (21 enodes) 1543751857.591 * * [misc]simplify: iters left: 4 (24 enodes) 1543751857.597 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751857.597 * * * * [misc]progress: [ 73 / 159 ] simplifiying candidate # 1543751857.597 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751857.598 * * [misc]simplify: iters left: 6 (16 enodes) 1543751857.604 * * [misc]simplify: iters left: 5 (24 enodes) 1543751857.614 * * [misc]simplify: iters left: 4 (42 enodes) 1543751857.630 * * [misc]simplify: iters left: 3 (83 enodes) 1543751857.649 * * [misc]simplify: iters left: 2 (134 enodes) 1543751857.701 * * [misc]simplify: iters left: 1 (163 enodes) 1543751857.757 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751857.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.757 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751857.758 * * [misc]simplify: iters left: 6 (13 enodes) 1543751857.763 * * [misc]simplify: iters left: 5 (17 enodes) 1543751857.770 * * [misc]simplify: iters left: 4 (23 enodes) 1543751857.777 * * [misc]simplify: iters left: 3 (25 enodes) 1543751857.786 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751857.786 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.786 * * * * [misc]progress: [ 74 / 159 ] simplifiying candidate # 1543751857.787 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751857.788 * * [misc]simplify: iters left: 6 (15 enodes) 1543751857.794 * * [misc]simplify: iters left: 5 (21 enodes) 1543751857.802 * * [misc]simplify: iters left: 4 (31 enodes) 1543751857.814 * * [misc]simplify: iters left: 3 (43 enodes) 1543751857.831 * * [misc]simplify: iters left: 2 (55 enodes) 1543751857.848 * * [misc]simplify: iters left: 1 (61 enodes) 1543751857.875 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751857.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.876 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751857.877 * * [misc]simplify: iters left: 6 (13 enodes) 1543751857.882 * * [misc]simplify: iters left: 5 (17 enodes) 1543751857.888 * * [misc]simplify: iters left: 4 (23 enodes) 1543751857.895 * * [misc]simplify: iters left: 3 (25 enodes) 1543751857.905 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751857.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751857.905 * * * * [misc]progress: [ 75 / 159 ] simplifiying candidate # 1543751857.905 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751857.906 * * [misc]simplify: iters left: 6 (14 enodes) 1543751857.910 * * [misc]simplify: iters left: 5 (22 enodes) 1543751857.914 * * [misc]simplify: iters left: 4 (32 enodes) 1543751857.920 * * [misc]simplify: iters left: 3 (47 enodes) 1543751857.933 * * [misc]simplify: iters left: 2 (95 enodes) 1543751857.992 * * [misc]simplify: iters left: 1 (215 enodes) 1543751858.108 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751858.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751858.108 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751858.109 * * [misc]simplify: iters left: 6 (12 enodes) 1543751858.114 * * [misc]simplify: iters left: 5 (16 enodes) 1543751858.120 * * [misc]simplify: iters left: 4 (22 enodes) 1543751858.127 * * [misc]simplify: iters left: 3 (24 enodes) 1543751858.135 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751858.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751858.135 * * * * [misc]progress: [ 76 / 159 ] simplifiying candidate # 1543751858.136 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1543751858.137 * * [misc]simplify: iters left: 6 (11 enodes) 1543751858.141 * * [misc]simplify: iters left: 5 (17 enodes) 1543751858.151 * * [misc]simplify: iters left: 4 (26 enodes) 1543751858.159 * * [misc]simplify: iters left: 3 (28 enodes) 1543751858.166 * * [misc]simplify: iters left: 2 (33 enodes) 1543751858.176 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751858.176 * [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)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751858.176 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751858.178 * * [misc]simplify: iters left: 6 (15 enodes) 1543751858.184 * * [misc]simplify: iters left: 5 (22 enodes) 1543751858.193 * * [misc]simplify: iters left: 4 (32 enodes) 1543751858.205 * * [misc]simplify: iters left: 3 (46 enodes) 1543751858.221 * * [misc]simplify: iters left: 2 (62 enodes) 1543751858.238 * * [misc]simplify: iters left: 1 (64 enodes) 1543751858.271 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1543751858.271 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1543751858.271 * * * * [misc]progress: [ 77 / 159 ] simplifiying candidate # 1543751858.272 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1543751858.273 * * [misc]simplify: iters left: 6 (11 enodes) 1543751858.279 * * [misc]simplify: iters left: 5 (15 enodes) 1543751858.285 * * [misc]simplify: iters left: 4 (20 enodes) 1543751858.291 * * [misc]simplify: iters left: 3 (21 enodes) 1543751858.300 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1543751858.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751858.300 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751858.302 * * [misc]simplify: iters left: 6 (15 enodes) 1543751858.308 * * [misc]simplify: iters left: 5 (24 enodes) 1543751858.316 * * [misc]simplify: iters left: 4 (34 enodes) 1543751858.330 * * [misc]simplify: iters left: 3 (52 enodes) 1543751858.348 * * [misc]simplify: iters left: 2 (64 enodes) 1543751858.366 * * [misc]simplify: iters left: 1 (82 enodes) 1543751858.401 * [exit]simplify: Simplified to (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751858.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1543751858.401 * * * * [misc]progress: [ 78 / 159 ] simplifiying candidate # 1543751858.402 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n 1/2) (pow 2 1/2)))) 1543751858.404 * * [misc]simplify: iters left: 6 (16 enodes) 1543751858.409 * * [misc]simplify: iters left: 5 (27 enodes) 1543751858.415 * * [misc]simplify: iters left: 4 (43 enodes) 1543751858.425 * * [misc]simplify: iters left: 3 (77 enodes) 1543751858.457 * * [misc]simplify: iters left: 2 (139 enodes) 1543751858.497 * * [misc]simplify: iters left: 1 (209 enodes) 1543751858.588 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (sqrt n) (sqrt 2)))) 1543751858.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (sqrt n) (sqrt 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751858.588 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751858.589 * * [misc]simplify: iters left: 6 (13 enodes) 1543751858.592 * * [misc]simplify: iters left: 5 (18 enodes) 1543751858.594 * * [misc]simplify: iters left: 4 (21 enodes) 1543751858.598 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751858.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (sqrt n) (sqrt 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751858.598 * * * * [misc]progress: [ 79 / 159 ] simplifiying candidate # 1543751858.599 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)))) 1543751858.599 * * [misc]simplify: iters left: 6 (16 enodes) 1543751858.604 * * [misc]simplify: iters left: 5 (26 enodes) 1543751858.611 * * [misc]simplify: iters left: 4 (42 enodes) 1543751858.621 * * [misc]simplify: iters left: 3 (76 enodes) 1543751858.648 * * [misc]simplify: iters left: 2 (138 enodes) 1543751858.696 * * [misc]simplify: iters left: 1 (207 enodes) 1543751858.795 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt 2)) (pow n (- 1/2 (/ k 2))))) 1543751858.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt 2)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))))) 1543751858.796 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))) 1543751858.797 * * [misc]simplify: iters left: 6 (10 enodes) 1543751858.800 * * [misc]simplify: iters left: 5 (12 enodes) 1543751858.805 * * [misc]simplify: iters left: 4 (15 enodes) 1543751858.810 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))) 1543751858.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt 2)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))))) 1543751858.810 * * * * [misc]progress: [ 80 / 159 ] simplifiying candidate # 1543751858.811 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))))) 1543751858.812 * * [misc]simplify: iters left: 6 (16 enodes) 1543751858.819 * * [misc]simplify: iters left: 5 (26 enodes) 1543751858.830 * * [misc]simplify: iters left: 4 (42 enodes) 1543751858.851 * * [misc]simplify: iters left: 3 (76 enodes) 1543751858.880 * * [misc]simplify: iters left: 2 (138 enodes) 1543751858.930 * * [misc]simplify: iters left: 1 (207 enodes) 1543751859.014 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt n)) (pow 2 (- 1/2 (/ k 2))))) 1543751859.014 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt n)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))))) 1543751859.015 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1543751859.015 * * [misc]simplify: iters left: 6 (11 enodes) 1543751859.017 * * [misc]simplify: iters left: 5 (13 enodes) 1543751859.019 * * [misc]simplify: iters left: 4 (16 enodes) 1543751859.023 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1543751859.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt n)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))))) 1543751859.023 * * * * [misc]progress: [ 81 / 159 ] simplifiying candidate # 1543751859.024 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751859.025 * * [misc]simplify: iters left: 6 (17 enodes) 1543751859.028 * * [misc]simplify: iters left: 5 (24 enodes) 1543751859.032 * * [misc]simplify: iters left: 4 (27 enodes) 1543751859.037 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751859.038 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.039 * * [misc]simplify: iters left: 6 (16 enodes) 1543751859.042 * * [misc]simplify: iters left: 5 (21 enodes) 1543751859.045 * * [misc]simplify: iters left: 4 (24 enodes) 1543751859.050 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751859.050 * * * * [misc]progress: [ 82 / 159 ] simplifiying candidate # 1543751859.050 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.052 * * [misc]simplify: iters left: 6 (16 enodes) 1543751859.058 * * [misc]simplify: iters left: 5 (21 enodes) 1543751859.064 * * [misc]simplify: iters left: 4 (24 enodes) 1543751859.074 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751859.074 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.076 * * [misc]simplify: iters left: 6 (16 enodes) 1543751859.082 * * [misc]simplify: iters left: 5 (21 enodes) 1543751859.089 * * [misc]simplify: iters left: 4 (24 enodes) 1543751859.099 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.099 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751859.099 * * * * [misc]progress: [ 83 / 159 ] simplifiying candidate # 1543751859.100 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751859.101 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.107 * * [misc]simplify: iters left: 5 (21 enodes) 1543751859.115 * * [misc]simplify: iters left: 4 (31 enodes) 1543751859.127 * * [misc]simplify: iters left: 3 (43 enodes) 1543751859.141 * * [misc]simplify: iters left: 2 (48 enodes) 1543751859.155 * * [misc]simplify: iters left: 1 (55 enodes) 1543751859.174 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751859.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.175 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751859.176 * * [misc]simplify: iters left: 6 (13 enodes) 1543751859.181 * * [misc]simplify: iters left: 5 (17 enodes) 1543751859.187 * * [misc]simplify: iters left: 4 (23 enodes) 1543751859.194 * * [misc]simplify: iters left: 3 (25 enodes) 1543751859.201 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751859.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.201 * * * * [misc]progress: [ 84 / 159 ] simplifiying candidate # 1543751859.201 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751859.203 * * [misc]simplify: iters left: 6 (14 enodes) 1543751859.207 * * [misc]simplify: iters left: 5 (18 enodes) 1543751859.214 * * [misc]simplify: iters left: 4 (24 enodes) 1543751859.221 * * [misc]simplify: iters left: 3 (26 enodes) 1543751859.231 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751859.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.231 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751859.232 * * [misc]simplify: iters left: 6 (13 enodes) 1543751859.237 * * [misc]simplify: iters left: 5 (17 enodes) 1543751859.243 * * [misc]simplify: iters left: 4 (23 enodes) 1543751859.252 * * [misc]simplify: iters left: 3 (25 enodes) 1543751859.261 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751859.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.261 * * * * [misc]progress: [ 85 / 159 ] simplifiying candidate # 1543751859.262 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751859.263 * * [misc]simplify: iters left: 6 (13 enodes) 1543751859.268 * * [misc]simplify: iters left: 5 (19 enodes) 1543751859.274 * * [misc]simplify: iters left: 4 (25 enodes) 1543751859.284 * * [misc]simplify: iters left: 3 (35 enodes) 1543751859.293 * * [misc]simplify: iters left: 2 (37 enodes) 1543751859.302 * * [misc]simplify: iters left: 1 (42 enodes) 1543751859.315 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751859.315 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.315 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751859.317 * * [misc]simplify: iters left: 6 (12 enodes) 1543751859.321 * * [misc]simplify: iters left: 5 (16 enodes) 1543751859.327 * * [misc]simplify: iters left: 4 (22 enodes) 1543751859.334 * * [misc]simplify: iters left: 3 (24 enodes) 1543751859.342 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751859.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.343 * * * * [misc]progress: [ 86 / 159 ] simplifiying candidate # 1543751859.343 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1543751859.344 * * [misc]simplify: iters left: 6 (10 enodes) 1543751859.348 * * [misc]simplify: iters left: 5 (14 enodes) 1543751859.353 * * [misc]simplify: iters left: 4 (19 enodes) 1543751859.359 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751859.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751859.359 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751859.361 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.367 * * [misc]simplify: iters left: 5 (22 enodes) 1543751859.376 * * [misc]simplify: iters left: 4 (32 enodes) 1543751859.390 * * [misc]simplify: iters left: 3 (46 enodes) 1543751859.406 * * [misc]simplify: iters left: 2 (62 enodes) 1543751859.424 * * [misc]simplify: iters left: 1 (64 enodes) 1543751859.456 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1543751859.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (pow 2 (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1543751859.456 * * * * [misc]progress: [ 87 / 159 ] simplifiying candidate # 1543751859.457 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751859.458 * * [misc]simplify: iters left: 6 (10 enodes) 1543751859.461 * * [misc]simplify: iters left: 5 (12 enodes) 1543751859.466 * * [misc]simplify: iters left: 4 (15 enodes) 1543751859.471 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1543751859.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751859.471 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751859.473 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.479 * * [misc]simplify: iters left: 5 (24 enodes) 1543751859.488 * * [misc]simplify: iters left: 4 (34 enodes) 1543751859.502 * * [misc]simplify: iters left: 3 (52 enodes) 1543751859.520 * * [misc]simplify: iters left: 2 (64 enodes) 1543751859.530 * * [misc]simplify: iters left: 1 (82 enodes) 1543751859.550 * [exit]simplify: Simplified to (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1543751859.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1543751859.550 * * * * [misc]progress: [ 88 / 159 ] simplifiying candidate # 1543751859.550 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n 1/2) (pow 2 1/2)))) 1543751859.551 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.555 * * [misc]simplify: iters left: 5 (24 enodes) 1543751859.561 * * [misc]simplify: iters left: 4 (34 enodes) 1543751859.568 * * [misc]simplify: iters left: 3 (48 enodes) 1543751859.580 * * [misc]simplify: iters left: 2 (64 enodes) 1543751859.603 * * [misc]simplify: iters left: 1 (66 enodes) 1543751859.632 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt 2)) (sqrt k))) 1543751859.632 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt 2)) (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751859.632 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751859.634 * * [misc]simplify: iters left: 6 (13 enodes) 1543751859.637 * * [misc]simplify: iters left: 5 (18 enodes) 1543751859.640 * * [misc]simplify: iters left: 4 (21 enodes) 1543751859.644 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751859.644 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt 2)) (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751859.644 * * * * [misc]progress: [ 89 / 159 ] simplifiying candidate # 1543751859.644 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)))) 1543751859.645 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.649 * * [misc]simplify: iters left: 5 (23 enodes) 1543751859.654 * * [misc]simplify: iters left: 4 (33 enodes) 1543751859.664 * * [misc]simplify: iters left: 3 (47 enodes) 1543751859.679 * * [misc]simplify: iters left: 2 (63 enodes) 1543751859.689 * * [misc]simplify: iters left: 1 (65 enodes) 1543751859.705 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow n (- 1/2 (/ k 2))))) 1543751859.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))))) 1543751859.705 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))) 1543751859.706 * * [misc]simplify: iters left: 6 (10 enodes) 1543751859.707 * * [misc]simplify: iters left: 5 (12 enodes) 1543751859.710 * * [misc]simplify: iters left: 4 (15 enodes) 1543751859.713 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))) 1543751859.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow 2 (/ k 2))))) 1543751859.713 * * * * [misc]progress: [ 90 / 159 ] simplifiying candidate # 1543751859.714 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))))) 1543751859.715 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.722 * * [misc]simplify: iters left: 5 (23 enodes) 1543751859.730 * * [misc]simplify: iters left: 4 (33 enodes) 1543751859.743 * * [misc]simplify: iters left: 3 (47 enodes) 1543751859.760 * * [misc]simplify: iters left: 2 (63 enodes) 1543751859.768 * * [misc]simplify: iters left: 1 (65 enodes) 1543751859.781 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt n)))) 1543751859.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))))) 1543751859.781 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1543751859.782 * * [misc]simplify: iters left: 6 (11 enodes) 1543751859.784 * * [misc]simplify: iters left: 5 (13 enodes) 1543751859.788 * * [misc]simplify: iters left: 4 (16 enodes) 1543751859.790 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1543751859.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))))) 1543751859.790 * * * * [misc]progress: [ 91 / 159 ] simplifiying candidate # 1543751859.791 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751859.792 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.798 * * [misc]simplify: iters left: 5 (24 enodes) 1543751859.806 * * [misc]simplify: iters left: 4 (27 enodes) 1543751859.817 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.817 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751859.817 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.819 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.824 * * [misc]simplify: iters left: 5 (20 enodes) 1543751859.829 * * [misc]simplify: iters left: 4 (23 enodes) 1543751859.834 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751859.834 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751859.834 * * * * [misc]progress: [ 92 / 159 ] simplifiying candidate # 1543751859.834 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.835 * * [misc]simplify: iters left: 6 (14 enodes) 1543751859.838 * * [misc]simplify: iters left: 5 (21 enodes) 1543751859.841 * * [misc]simplify: iters left: 4 (24 enodes) 1543751859.846 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751859.846 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1543751859.846 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751859.847 * * [misc]simplify: iters left: 6 (15 enodes) 1543751859.852 * * [misc]simplify: iters left: 5 (20 enodes) 1543751859.855 * * [misc]simplify: iters left: 4 (23 enodes) 1543751859.860 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1543751859.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751859.860 * * * * [misc]progress: [ 93 / 159 ] simplifiying candidate # 1543751859.860 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1543751859.861 * * [misc]simplify: iters left: 6 (13 enodes) 1543751859.863 * * [misc]simplify: iters left: 5 (21 enodes) 1543751859.867 * * [misc]simplify: iters left: 4 (31 enodes) 1543751859.875 * * [misc]simplify: iters left: 3 (51 enodes) 1543751859.888 * * [misc]simplify: iters left: 2 (90 enodes) 1543751859.923 * * [misc]simplify: iters left: 1 (181 enodes) 1543751860.017 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1543751860.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.018 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751860.019 * * [misc]simplify: iters left: 6 (12 enodes) 1543751860.023 * * [misc]simplify: iters left: 5 (16 enodes) 1543751860.030 * * [misc]simplify: iters left: 4 (22 enodes) 1543751860.034 * * [misc]simplify: iters left: 3 (24 enodes) 1543751860.038 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1543751860.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1543751860.038 * * * * [misc]progress: [ 94 / 159 ] simplifiying candidate # 1543751860.038 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1543751860.039 * * [misc]simplify: iters left: 6 (12 enodes) 1543751860.041 * * [misc]simplify: iters left: 5 (18 enodes) 1543751860.044 * * [misc]simplify: iters left: 4 (24 enodes) 1543751860.048 * * [misc]simplify: iters left: 3 (32 enodes) 1543751860.054 * * [misc]simplify: iters left: 2 (41 enodes) 1543751860.063 * * [misc]simplify: iters left: 1 (51 enodes) 1543751860.070 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1543751860.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.070 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1543751860.071 * * [misc]simplify: iters left: 6 (12 enodes) 1543751860.073 * * [misc]simplify: iters left: 5 (16 enodes) 1543751860.076 * * [misc]simplify: iters left: 4 (22 enodes) 1543751860.079 * * [misc]simplify: iters left: 3 (24 enodes) 1543751860.084 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1543751860.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1543751860.084 * * * * [misc]progress: [ 95 / 159 ] simplifiying candidate # 1543751860.084 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1543751860.084 * * [misc]simplify: iters left: 6 (10 enodes) 1543751860.087 * * [misc]simplify: iters left: 5 (16 enodes) 1543751860.090 * * [misc]simplify: iters left: 4 (20 enodes) 1543751860.095 * * [misc]simplify: iters left: 3 (24 enodes) 1543751860.101 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1543751860.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.101 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751860.102 * * [misc]simplify: iters left: 6 (11 enodes) 1543751860.107 * * [misc]simplify: iters left: 5 (15 enodes) 1543751860.112 * * [misc]simplify: iters left: 4 (21 enodes) 1543751860.119 * * [misc]simplify: iters left: 3 (23 enodes) 1543751860.128 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751860.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.128 * * * * [misc]progress: [ 96 / 159 ] simplifiying candidate # 1543751860.128 * [enter]simplify: Simplifying (/ 1 1) 1543751860.128 * * [misc]simplify: iters left: 2 (2 enodes) 1543751860.129 * * [misc]simplify: iters left: 1 (4 enodes) 1543751860.130 * [exit]simplify: Simplified to 1 1543751860.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751860.130 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.131 * * [misc]simplify: iters left: 6 (14 enodes) 1543751860.137 * * [misc]simplify: iters left: 5 (21 enodes) 1543751860.145 * * [misc]simplify: iters left: 4 (31 enodes) 1543751860.157 * * [misc]simplify: iters left: 3 (45 enodes) 1543751860.177 * * [misc]simplify: iters left: 2 (61 enodes) 1543751860.194 * * [misc]simplify: iters left: 1 (63 enodes) 1543751860.225 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1543751860.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.225 * * * * [misc]progress: [ 97 / 159 ] simplifiying candidate # 1543751860.226 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1543751860.226 * * [misc]simplify: iters left: 3 (4 enodes) 1543751860.227 * * [misc]simplify: iters left: 2 (6 enodes) 1543751860.229 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1543751860.229 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751860.229 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.231 * * [misc]simplify: iters left: 6 (14 enodes) 1543751860.237 * * [misc]simplify: iters left: 5 (23 enodes) 1543751860.245 * * [misc]simplify: iters left: 4 (33 enodes) 1543751860.259 * * [misc]simplify: iters left: 3 (51 enodes) 1543751860.279 * * [misc]simplify: iters left: 2 (65 enodes) 1543751860.300 * * [misc]simplify: iters left: 1 (88 enodes) 1543751860.332 * [exit]simplify: Simplified to (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1543751860.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) 1543751860.332 * * * * [misc]progress: [ 98 / 159 ] simplifiying candidate # 1543751860.332 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (* (pow n 1/2) (pow 2 1/2)))) 1543751860.333 * * [misc]simplify: iters left: 6 (11 enodes) 1543751860.337 * * [misc]simplify: iters left: 5 (20 enodes) 1543751860.341 * * [misc]simplify: iters left: 4 (27 enodes) 1543751860.347 * * [misc]simplify: iters left: 3 (41 enodes) 1543751860.358 * * [misc]simplify: iters left: 2 (70 enodes) 1543751860.391 * * [misc]simplify: iters left: 1 (149 enodes) 1543751860.445 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt n)) (sqrt k)) 1543751860.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt n)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 1543751860.445 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) 1543751860.447 * * [misc]simplify: iters left: 6 (12 enodes) 1543751860.451 * * [misc]simplify: iters left: 5 (17 enodes) 1543751860.457 * * [misc]simplify: iters left: 4 (20 enodes) 1543751860.465 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (pow 2 (/ k 2)) (pow n (/ k 2)))) 1543751860.465 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt n)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (* (pow 2 (/ k 2)) (pow n (/ k 2)))))) 1543751860.465 * * * * [misc]progress: [ 99 / 159 ] simplifiying candidate # 1543751860.465 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)))) 1543751860.466 * * [misc]simplify: iters left: 6 (13 enodes) 1543751860.473 * * [misc]simplify: iters left: 5 (23 enodes) 1543751860.486 * * [misc]simplify: iters left: 4 (33 enodes) 1543751860.499 * * [misc]simplify: iters left: 3 (47 enodes) 1543751860.522 * * [misc]simplify: iters left: 2 (87 enodes) 1543751860.572 * * [misc]simplify: iters left: 1 (180 enodes) 1543751860.669 * [exit]simplify: Simplified to (* (/ (sqrt 2) (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1543751860.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (pow 2 (/ k 2))))) 1543751860.669 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow 2 (/ k 2))) 1543751860.669 * * [misc]simplify: iters left: 6 (9 enodes) 1543751860.671 * * [misc]simplify: iters left: 5 (11 enodes) 1543751860.675 * * [misc]simplify: iters left: 4 (14 enodes) 1543751860.680 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow 2 (/ k 2))) 1543751860.680 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (pow 2 (/ k 2))))) 1543751860.680 * * * * [misc]progress: [ 100 / 159 ] simplifiying candidate # 1543751860.681 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.682 * * [misc]simplify: iters left: 6 (13 enodes) 1543751860.688 * * [misc]simplify: iters left: 5 (23 enodes) 1543751860.696 * * [misc]simplify: iters left: 4 (33 enodes) 1543751860.704 * * [misc]simplify: iters left: 3 (47 enodes) 1543751860.717 * * [misc]simplify: iters left: 2 (82 enodes) 1543751860.744 * * [misc]simplify: iters left: 1 (152 enodes) 1543751860.802 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt n))) 1543751860.802 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt n))) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))))) 1543751860.802 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1543751860.803 * * [misc]simplify: iters left: 6 (10 enodes) 1543751860.805 * * [misc]simplify: iters left: 5 (12 enodes) 1543751860.807 * * [misc]simplify: iters left: 4 (15 enodes) 1543751860.809 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1543751860.809 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt n))) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))))) 1543751860.809 * * * * [misc]progress: [ 101 / 159 ] simplifiying candidate # 1543751860.809 * * * * [misc]progress: [ 102 / 159 ] simplifiying candidate # 1543751860.809 * * * * [misc]progress: [ 103 / 159 ] simplifiying candidate # 1543751860.809 * * * * [misc]progress: [ 104 / 159 ] simplifiying candidate # 1543751860.810 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.810 * * [misc]simplify: iters left: 6 (12 enodes) 1543751860.813 * * [misc]simplify: iters left: 5 (17 enodes) 1543751860.815 * * [misc]simplify: iters left: 4 (20 enodes) 1543751860.819 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) (cbrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751860.819 * * * * [misc]progress: [ 105 / 159 ] simplifiying candidate # 1543751860.820 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.821 * * [misc]simplify: iters left: 6 (12 enodes) 1543751860.825 * * [misc]simplify: iters left: 5 (17 enodes) 1543751860.831 * * [misc]simplify: iters left: 4 (20 enodes) 1543751860.839 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.839 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751860.839 * * * * [misc]progress: [ 106 / 159 ] simplifiying candidate # 1543751860.840 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751860.841 * * [misc]simplify: iters left: 6 (9 enodes) 1543751860.844 * * [misc]simplify: iters left: 5 (11 enodes) 1543751860.848 * * [misc]simplify: iters left: 4 (14 enodes) 1543751860.853 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751860.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.853 * * * * [misc]progress: [ 107 / 159 ] simplifiying candidate # 1543751860.853 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751860.854 * * [misc]simplify: iters left: 6 (9 enodes) 1543751860.857 * * [misc]simplify: iters left: 5 (11 enodes) 1543751860.861 * * [misc]simplify: iters left: 4 (14 enodes) 1543751860.866 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1543751860.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.866 * * * * [misc]progress: [ 108 / 159 ] simplifiying candidate # 1543751860.867 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1543751860.867 * * [misc]simplify: iters left: 6 (8 enodes) 1543751860.870 * * [misc]simplify: iters left: 5 (10 enodes) 1543751860.874 * * [misc]simplify: iters left: 4 (13 enodes) 1543751860.878 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1543751860.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1543751860.879 * * * * [misc]progress: [ 109 / 159 ] simplifiying candidate # 1543751860.879 * [enter]simplify: Simplifying (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1543751860.880 * * [misc]simplify: iters left: 6 (11 enodes) 1543751860.884 * * [misc]simplify: iters left: 5 (16 enodes) 1543751860.890 * * [misc]simplify: iters left: 4 (19 enodes) 1543751860.898 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1543751860.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.898 * * * * [misc]progress: [ 110 / 159 ] simplifiying candidate # 1543751860.899 * [enter]simplify: Simplifying (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1543751860.900 * * [misc]simplify: iters left: 6 (11 enodes) 1543751860.904 * * [misc]simplify: iters left: 5 (18 enodes) 1543751860.910 * * [misc]simplify: iters left: 4 (21 enodes) 1543751860.917 * [exit]simplify: Simplified to (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1543751860.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751860.918 * * * * [misc]progress: [ 111 / 159 ] simplifiying candidate # 1543751860.918 * [enter]simplify: Simplifying (* (pow n (/ k 2)) (pow 2 (/ k 2))) 1543751860.920 * * [misc]simplify: iters left: 5 (7 enodes) 1543751860.923 * * [misc]simplify: iters left: 4 (8 enodes) 1543751860.924 * [exit]simplify: Simplified to (* (pow n (/ k 2)) (pow 2 (/ k 2))) 1543751860.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n 1/2) (pow 2 1/2)))) (* (pow n (/ k 2)) (pow 2 (/ k 2))))) 1543751860.925 * * * * [misc]progress: [ 112 / 159 ] simplifiying candidate # 1543751860.925 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1543751860.925 * * [misc]simplify: iters left: 3 (4 enodes) 1543751860.926 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1543751860.926 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)))) (pow 2 (/ k 2)))) 1543751860.926 * * * * [misc]progress: [ 113 / 159 ] simplifiying candidate # 1543751860.926 * [enter]simplify: Simplifying (pow n (/ k 2)) 1543751860.926 * * [misc]simplify: iters left: 3 (5 enodes) 1543751860.927 * [exit]simplify: Simplified to (pow n (/ k 2)) 1543751860.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))))) (pow n (/ k 2)))) 1543751860.927 * * * * [misc]progress: [ 114 / 159 ] simplifiying candidate # 1543751860.927 * [enter]simplify: Simplifying (pow PI 1/2) 1543751860.927 * * [misc]simplify: iters left: 1 (3 enodes) 1543751860.928 * [exit]simplify: Simplified to (sqrt PI) 1543751860.928 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1543751860.928 * * * * [misc]progress: [ 115 / 159 ] simplifiying candidate # 1543751860.928 * [enter]simplify: Simplifying (pow PI 1/2) 1543751860.928 * * [misc]simplify: iters left: 1 (3 enodes) 1543751860.929 * [exit]simplify: Simplified to (sqrt PI) 1543751860.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1543751860.929 * * * * [misc]progress: [ 116 / 159 ] simplifiying candidate # 1543751860.929 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751860.930 * * [misc]simplify: iters left: 6 (9 enodes) 1543751860.931 * * [misc]simplify: iters left: 5 (11 enodes) 1543751860.933 * * [misc]simplify: iters left: 4 (14 enodes) 1543751860.936 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1543751860.936 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1543751860.936 * * * * [misc]progress: [ 117 / 159 ] simplifiying candidate # 1543751860.936 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751860.937 * * [misc]simplify: iters left: 6 (8 enodes) 1543751860.938 * * [misc]simplify: iters left: 5 (10 enodes) 1543751860.940 * * [misc]simplify: iters left: 4 (13 enodes) 1543751860.942 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1543751860.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1543751860.942 * * * * [misc]progress: [ 118 / 159 ] simplifiying candidate # 1543751860.942 * * * * [misc]progress: [ 119 / 159 ] simplifiying candidate # 1543751860.943 * [enter]simplify: Simplifying (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) 1543751860.943 * * [misc]simplify: iters left: 6 (9 enodes) 1543751860.945 * * [misc]simplify: iters left: 5 (12 enodes) 1543751860.947 * * [misc]simplify: iters left: 4 (15 enodes) 1543751860.949 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1543751860.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) 1543751860.949 * * * * [misc]progress: [ 120 / 159 ] simplifiying candidate # 1543751860.950 * [enter]simplify: Simplifying (pow PI 1/2) 1543751860.950 * * [misc]simplify: iters left: 1 (3 enodes) 1543751860.951 * [exit]simplify: Simplified to (sqrt PI) 1543751860.951 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ k 2))))) 1543751860.951 * * * * [misc]progress: [ 121 / 159 ] simplifiying candidate # 1543751860.951 * [enter]simplify: Simplifying (* n 2) 1543751860.951 * * [misc]simplify: iters left: 2 (3 enodes) 1543751860.951 * * [misc]simplify: iters left: 1 (4 enodes) 1543751860.952 * [exit]simplify: Simplified to (* n 2) 1543751860.952 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751860.952 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1543751860.952 * * [misc]simplify: iters left: 4 (5 enodes) 1543751860.953 * * [misc]simplify: iters left: 3 (7 enodes) 1543751860.955 * * [misc]simplify: iters left: 2 (10 enodes) 1543751860.956 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1543751860.956 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1543751860.956 * * * * [misc]progress: [ 122 / 159 ] simplifiying candidate # 1543751860.956 * * * * [misc]progress: [ 123 / 159 ] simplifiying candidate # 1543751860.957 * [enter]simplify: Simplifying (+ (* (log n) (- 1/2 (/ k 2))) (* (log 2) (- 1/2 (/ k 2)))) 1543751860.957 * * [misc]simplify: iters left: 6 (11 enodes) 1543751860.960 * * [misc]simplify: iters left: 5 (18 enodes) 1543751860.965 * * [misc]simplify: iters left: 4 (36 enodes) 1543751860.981 * * [misc]simplify: iters left: 3 (80 enodes) 1543751861.024 * * [misc]simplify: iters left: 2 (156 enodes) 1543751861.101 * * [misc]simplify: iters left: 1 (245 enodes) 1543751861.174 * [exit]simplify: Simplified to (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) 1543751861.174 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2))))))) 1543751861.174 * * * * [misc]progress: [ 124 / 159 ] simplifiying candidate # 1543751861.174 * [enter]simplify: Simplifying (+ (* (log n) (- 1/2 (/ k 2))) (log (pow 2 (- 1/2 (/ k 2))))) 1543751861.175 * * [misc]simplify: iters left: 6 (11 enodes) 1543751861.179 * * [misc]simplify: iters left: 5 (17 enodes) 1543751861.188 * * [misc]simplify: iters left: 4 (31 enodes) 1543751861.203 * * [misc]simplify: iters left: 3 (58 enodes) 1543751861.241 * * [misc]simplify: iters left: 2 (138 enodes) 1543751861.283 * * [misc]simplify: iters left: 1 (252 enodes) 1543751861.407 * [exit]simplify: Simplified to (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) 1543751861.407 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (+ (log 2) (log n)) (- 1/2 (/ k 2))))))) 1543751861.407 * * * * [misc]progress: [ 125 / 159 ] simplifiying candidate # 1543751861.407 * [enter]simplify: Simplifying (+ (log (pow n (- 1/2 (/ k 2)))) (* (log 2) (- 1/2 (/ k 2)))) 1543751861.408 * * [misc]simplify: iters left: 6 (11 enodes) 1543751861.410 * * [misc]simplify: iters left: 5 (17 enodes) 1543751861.417 * * [misc]simplify: iters left: 4 (31 enodes) 1543751861.425 * * [misc]simplify: iters left: 3 (58 enodes) 1543751861.454 * * [misc]simplify: iters left: 2 (144 enodes) 1543751861.524 * * [misc]simplify: iters left: 1 (262 enodes) 1543751861.632 * [exit]simplify: Simplified to (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) 1543751861.632 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (+ (log 2) (log n)) (- 1/2 (/ k 2))))))) 1543751861.632 * * * * [misc]progress: [ 126 / 159 ] simplifiying candidate # 1543751861.632 * [enter]simplify: Simplifying (+ (log (pow n (- 1/2 (/ k 2)))) (log (pow 2 (- 1/2 (/ k 2))))) 1543751861.633 * * [misc]simplify: iters left: 6 (11 enodes) 1543751861.638 * * [misc]simplify: iters left: 5 (18 enodes) 1543751861.646 * * [misc]simplify: iters left: 4 (27 enodes) 1543751861.655 * * [misc]simplify: iters left: 3 (44 enodes) 1543751861.668 * * [misc]simplify: iters left: 2 (100 enodes) 1543751861.698 * * [misc]simplify: iters left: 1 (192 enodes) 1543751861.792 * [exit]simplify: Simplified to (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) 1543751861.792 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (+ (log 2) (log n)) (- 1/2 (/ k 2))))))) 1543751861.792 * * * * [misc]progress: [ 127 / 159 ] simplifiying candidate # 1543751861.792 * * * * [misc]progress: [ 128 / 159 ] simplifiying candidate # 1543751861.792 * * * * [misc]progress: [ 129 / 159 ] simplifiying candidate # 1543751861.793 * [enter]simplify: Simplifying (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1543751861.794 * * [misc]simplify: iters left: 6 (13 enodes) 1543751861.800 * * [misc]simplify: iters left: 5 (22 enodes) 1543751861.812 * * [misc]simplify: iters left: 4 (50 enodes) 1543751861.838 * * [misc]simplify: iters left: 3 (82 enodes) 1543751861.866 * * [misc]simplify: iters left: 2 (100 enodes) 1543751861.883 * * [misc]simplify: iters left: 1 (103 enodes) 1543751861.898 * [exit]simplify: Simplified to (pow (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 3) 1543751861.899 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 3))))) 1543751861.899 * * * * [misc]progress: [ 130 / 159 ] simplifiying candidate # 1543751861.899 * * * * [misc]progress: [ 131 / 159 ] simplifiying candidate # 1543751861.899 * * * * [misc]progress: [ 132 / 159 ] simplifiying candidate # 1543751861.899 * * * * [misc]progress: [ 133 / 159 ] simplifiying candidate # 1543751861.899 * [enter]simplify: Simplifying (* (pow n 1/2) (pow 2 1/2)) 1543751861.899 * * [misc]simplify: iters left: 3 (6 enodes) 1543751861.903 * * [misc]simplify: iters left: 2 (9 enodes) 1543751861.907 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt n)) 1543751861.908 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (* (sqrt 2) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2))))))) 1543751861.908 * [enter]simplify: Simplifying (* (pow n (/ k 2)) (pow 2 (/ k 2))) 1543751861.908 * * [misc]simplify: iters left: 5 (7 enodes) 1543751861.911 * * [misc]simplify: iters left: 4 (8 enodes) 1543751861.914 * [exit]simplify: Simplified to (* (pow n (/ k 2)) (pow 2 (/ k 2))) 1543751861.914 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (* (sqrt 2) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2))))))) 1543751861.914 * * * * [misc]progress: [ 134 / 159 ] simplifiying candidate # 1543751861.914 * * * * [misc]progress: [ 135 / 159 ] simplifiying candidate # 1543751861.914 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1543751861.915 * * [misc]simplify: iters left: 5 (5 enodes) 1543751861.917 * * [misc]simplify: iters left: 4 (7 enodes) 1543751861.919 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1543751861.919 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) (pow 2 (- (/ k 2))))))) 1543751861.919 * * * * [misc]progress: [ 136 / 159 ] simplifiying candidate # 1543751861.920 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1543751861.920 * * [misc]simplify: iters left: 5 (5 enodes) 1543751861.922 * * [misc]simplify: iters left: 4 (7 enodes) 1543751861.925 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1543751861.925 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) (pow 2 (- (/ k 2))))))) 1543751861.925 * * * * [misc]progress: [ 137 / 159 ] simplifiying candidate # 1543751861.925 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1543751861.928 * * [misc]simplify: iters left: 6 (7 enodes) 1543751861.931 * * [misc]simplify: iters left: 5 (9 enodes) 1543751861.934 * * [misc]simplify: iters left: 4 (12 enodes) 1543751861.939 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1543751861.939 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1543751861.939 * * * * [misc]progress: [ 138 / 159 ] simplifiying candidate # 1543751861.939 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1543751861.940 * * [misc]simplify: iters left: 6 (7 enodes) 1543751861.942 * * [misc]simplify: iters left: 5 (9 enodes) 1543751861.944 * * [misc]simplify: iters left: 4 (12 enodes) 1543751861.947 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1543751861.947 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1543751861.947 * * * * [misc]progress: [ 139 / 159 ] simplifiying candidate # 1543751861.947 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1543751861.947 * * [misc]simplify: iters left: 5 (6 enodes) 1543751861.950 * * [misc]simplify: iters left: 4 (8 enodes) 1543751861.953 * * [misc]simplify: iters left: 3 (11 enodes) 1543751861.956 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1543751861.956 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (pow n (- 1/2 (/ k 2))) 1) (pow 2 (- 1/2 (/ k 2))))))) 1543751861.956 * * * * [misc]progress: [ 140 / 159 ] simplifiying candidate # 1543751861.957 * [enter]simplify: Simplifying (pow n 1/2) 1543751861.957 * * [misc]simplify: iters left: 1 (3 enodes) 1543751861.958 * [exit]simplify: Simplified to (sqrt n) 1543751861.958 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt n) (* (pow n (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751861.958 * * * * [misc]progress: [ 141 / 159 ] simplifiying candidate # 1543751861.959 * [enter]simplify: Simplifying (pow n 1/2) 1543751861.959 * * [misc]simplify: iters left: 1 (3 enodes) 1543751861.960 * [exit]simplify: Simplified to (sqrt n) 1543751861.960 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt n) (* (pow n (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751861.960 * * * * [misc]progress: [ 142 / 159 ] simplifiying candidate # 1543751861.960 * [enter]simplify: Simplifying (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1543751861.961 * * [misc]simplify: iters left: 6 (9 enodes) 1543751861.964 * * [misc]simplify: iters left: 5 (11 enodes) 1543751861.968 * * [misc]simplify: iters left: 4 (14 enodes) 1543751861.974 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1543751861.974 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751861.974 * * * * [misc]progress: [ 143 / 159 ] simplifiying candidate # 1543751861.974 * [enter]simplify: Simplifying (sqrt (pow n (- 1/2 (/ k 2)))) 1543751861.975 * * [misc]simplify: iters left: 6 (8 enodes) 1543751861.978 * * [misc]simplify: iters left: 5 (10 enodes) 1543751861.982 * * [misc]simplify: iters left: 4 (13 enodes) 1543751861.986 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1543751861.986 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))) 1543751861.986 * * * * [misc]progress: [ 144 / 159 ] simplifiying candidate # 1543751861.986 * * * * [misc]progress: [ 145 / 159 ] simplifiying candidate # 1543751861.986 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1543751861.987 * * [misc]simplify: iters left: 3 (4 enodes) 1543751861.988 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1543751861.988 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) (pow 2 (/ k 2)))))) 1543751861.988 * * * * [misc]progress: [ 146 / 159 ] simplifiying candidate # 1543751861.988 * [enter]simplify: Simplifying (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))) 1543751861.989 * * [misc]simplify: iters left: 6 (9 enodes) 1543751861.993 * * [misc]simplify: iters left: 5 (13 enodes) 1543751861.997 * * [misc]simplify: iters left: 4 (16 enodes) 1543751862.003 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (sqrt n)) 1543751862.003 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (* (pow 2 (- 1/2 (/ k 2))) (sqrt n)) (pow n (/ k 2)))))) 1543751862.003 * * * * [misc]progress: [ 147 / 159 ] simplifiying candidate # 1543751862.003 * * * * [misc]progress: [ 148 / 159 ] simplifiying candidate # 1543751862.003 * [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)))) 1543751862.005 * * [misc]simplify: iters left: 6 (18 enodes) 1543751862.015 * * [misc]simplify: iters left: 5 (39 enodes) 1543751862.039 * * [misc]simplify: iters left: 4 (104 enodes) 1543751862.096 * * [misc]simplify: iters left: 3 (275 enodes) 1543751862.306 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1543751862.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751862.306 * * * * [misc]progress: [ 149 / 159 ] simplifiying candidate # 1543751862.307 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1543751862.307 * * [misc]simplify: iters left: 5 (6 enodes) 1543751862.310 * * [misc]simplify: iters left: 4 (9 enodes) 1543751862.315 * * [misc]simplify: iters left: 3 (17 enodes) 1543751862.320 * * [misc]simplify: iters left: 2 (20 enodes) 1543751862.326 * * [misc]simplify: iters left: 1 (24 enodes) 1543751862.341 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1543751862.341 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751862.341 * * * * [misc]progress: [ 150 / 159 ] simplifiying candidate # 1543751862.341 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1543751862.342 * * [misc]simplify: iters left: 5 (6 enodes) 1543751862.344 * * [misc]simplify: iters left: 4 (9 enodes) 1543751862.349 * * [misc]simplify: iters left: 3 (17 enodes) 1543751862.354 * * [misc]simplify: iters left: 2 (20 enodes) 1543751862.360 * * [misc]simplify: iters left: 1 (24 enodes) 1543751862.372 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1543751862.372 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1543751862.372 * * * * [misc]progress: [ 151 / 159 ] simplifiying candidate # 1543751862.372 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1543751862.374 * * [misc]simplify: iters left: 6 (18 enodes) 1543751862.384 * * [misc]simplify: iters left: 5 (39 enodes) 1543751862.405 * * [misc]simplify: iters left: 4 (113 enodes) 1543751862.447 * * [misc]simplify: iters left: 3 (290 enodes) 1543751862.620 * [exit]simplify: Simplified to (+ (+ (* (* (sqrt n) (log n)) (* k -1/2)) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))) 1543751862.620 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (+ (+ (* (* (sqrt n) (log n)) (* k -1/2)) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))) (pow 2 (- 1/2 (/ k 2))))))) 1543751862.621 * * * * [misc]progress: [ 152 / 159 ] simplifiying candidate # 1543751862.621 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1543751862.622 * * [misc]simplify: iters left: 6 (12 enodes) 1543751862.630 * * [misc]simplify: iters left: 5 (28 enodes) 1543751862.646 * * [misc]simplify: iters left: 4 (67 enodes) 1543751862.677 * * [misc]simplify: iters left: 3 (174 enodes) 1543751862.846 * [exit]simplify: Simplified to (pow n (- 1/2 (* 1/2 k))) 1543751862.846 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (/ k 2))))))) 1543751862.846 * * * * [misc]progress: [ 153 / 159 ] simplifiying candidate # 1543751862.846 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1543751862.847 * * [misc]simplify: iters left: 6 (12 enodes) 1543751862.850 * * [misc]simplify: iters left: 5 (22 enodes) 1543751862.859 * * [misc]simplify: iters left: 4 (52 enodes) 1543751862.879 * * [misc]simplify: iters left: 3 (141 enodes) 1543751862.984 * * [misc]simplify: iters left: 2 (418 enodes) 1543751863.463 * [exit]simplify: Simplified to (pow (sqrt n) (- 1 k)) 1543751863.463 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (sqrt n) (- 1 k)) (pow 2 (- 1/2 (/ k 2))))))) 1543751863.464 * * * * [misc]progress: [ 154 / 159 ] simplifiying candidate # 1543751863.464 * [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))))))))))))))) 1543751863.464 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751863.464 * * * * [misc]progress: [ 155 / 159 ] simplifiying candidate # 1543751863.464 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1543751863.464 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751863.464 * * * * [misc]progress: [ 156 / 159 ] simplifiying candidate # 1543751863.464 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1543751863.464 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1543751863.464 * * * * [misc]progress: [ 157 / 159 ] simplifiying candidate # 1543751863.464 * [enter]simplify: Simplifying (- (+ (* (sqrt 2) (sqrt n)) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt n))) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt n))))) 1543751863.467 * * [misc]simplify: iters left: 6 (40 enodes) 1543751863.489 * * [misc]simplify: iters left: 5 (111 enodes) 1543751863.547 * * [misc]simplify: iters left: 4 (370 enodes) 1543751864.144 * [exit]simplify: Simplified to (+ (+ (* (sqrt n) (sqrt 2)) (* (* (sqrt n) 1/8) (+ (* (* (log 2) (log 2)) (* (sqrt 2) (* k k))) (* (* (log n) (sqrt 2)) (* (* k k) (log n)))))) (+ (* (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (sqrt n) (sqrt 2))) (* -1/2 (* (sqrt n) (* (* k (sqrt 2)) (+ (log n) (log 2))))))) 1543751864.144 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (+ (* (sqrt n) (sqrt 2)) (* (* (sqrt n) 1/8) (+ (* (* (log 2) (log 2)) (* (sqrt 2) (* k k))) (* (* (log n) (sqrt 2)) (* (* k k) (log n)))))) (+ (* (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (sqrt n) (sqrt 2))) (* -1/2 (* (sqrt n) (* (* k (sqrt 2)) (+ (log n) (log 2)))))))))) 1543751864.144 * * * * [misc]progress: [ 158 / 159 ] simplifiying candidate # 1543751864.145 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1543751864.146 * * [misc]simplify: iters left: 6 (17 enodes) 1543751864.152 * * [misc]simplify: iters left: 5 (40 enodes) 1543751864.170 * * [misc]simplify: iters left: 4 (87 enodes) 1543751864.211 * * [misc]simplify: iters left: 3 (234 enodes) 1543751864.403 * [exit]simplify: Simplified to (exp (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))) 1543751864.403 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))))))) 1543751864.404 * * * * [misc]progress: [ 159 / 159 ] simplifiying candidate # 1543751864.404 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1543751864.405 * * [misc]simplify: iters left: 6 (17 enodes) 1543751864.414 * * [misc]simplify: iters left: 5 (34 enodes) 1543751864.431 * * [misc]simplify: iters left: 4 (74 enodes) 1543751864.481 * * [misc]simplify: iters left: 3 (217 enodes) 1543751864.695 * [exit]simplify: Simplified to (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1543751864.696 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))))) 1543751864.696 * * * [misc]progress: adding candidates to table 1543751868.872 * [misc]progress: [Phase 3 of 3] Extracting. 1543751868.872 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1543751868.876 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1543751868.876 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1543751868.992 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1543751869.061 * * * [misc]regime: Found split indices: #